solve the following for x 13 over8 = x over 9

Solve The Following For X 13 Over8 = X Over 9

Answers

Answer 1

ANSWER:

[tex]x=14\frac{5}{8}=14.625[/tex]

STEP-BY-STEP EXPLANATION:

We have the following proportion:

[tex]\frac{13}{8}=\frac{x}{9}[/tex]

We solve for x:

[tex]\begin{gathered} \frac{x}{9}=\frac{13}{8} \\ \\ x=\frac{13*9}{8} \\ \\ x=\frac{117}{8}=14\frac{5}{8}=14.625 \end{gathered}[/tex]


Related Questions

Find the zeros of the function. You may want to view the graph of the function to help you identifythe real root, then use it to depress the polynomial & find the remaining roots.I

Answers

We must find the zeros of the following function:

[tex]f(x)=x^3-x^2-11x+15.[/tex]

1) First, we plot a graph of the function:

From the graph, we see that the function crosses the x-axis at x = 3, so x = 3 is one of the zeros of the function.

2) Because x = 3 is a zero of the function, we can factorize the function in the following way:

[tex]f(x)=x^3-x^2-11x+15=(x^2+b\cdot x+c)\cdot(x-3)\text{.}[/tex]

To find the coefficients b and c, we compute the product of the parenthesis and then we compare the different terms:

[tex]f(x)=x^3-x^2-11x+15=x^3+(b-3)\cdot x^2+(c-3b)\cdot x-3c.[/tex]

To have the same expressions at both sides of the equality we must have:

[tex]\begin{gathered} -3c=15\Rightarrow c=-\frac{15}{3}=-5, \\ b-3=-1\Rightarrow b=3-1=2. \end{gathered}[/tex]

So we have the following factorization for the function f(x):

[tex]f(x)=(x^2+2x-5)\cdot(x-3)\text{.}[/tex]

3) To find the remaining zeros, we compute the zeros of:

[tex](x^2+2x-5)\text{.}[/tex]

The zeros of this 2nd order polynomial are given by:

[tex]x=\frac{-b\pm\sqrt[]{b^2-4\cdot a\cdot c}}{2a},[/tex]

where a, b and c are the coefficients of the polynomial. In this case we have a = 1, b = 2 and c = -5. Replacing these values in the formula above, we get:

[tex]undefined[/tex]

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On which number line the location of point P represent the probability of an event that is likely, but not certain?

Answers

The straight line that best represents something probable but not certain is option D.

It shows a probability of approximately 80%.

A bag contains 50 marbles. Marsha chooses a marble, records its color, and then puts the marble back into the bag. Marsha repeats this process and records 7 red marbles and 3 yellow marbles. What is the ratio of the number of red marbles to the number of yellow marbles she chooses

Answers

Probability is the chance that an event will occur and it's measured by the ratio of the favorable cases to the total number of cases possible.

The ratio for probability is given by:

[tex]\begin{gathered} \text{ratio of 3 marbles:ratio of yellow marbles} \\ 7\colon3 \end{gathered}[/tex]

factor they expression completely 9x−21

Answers

Answer:

3(3x - 7)

Step-by-step explanation:

9x - 21

GCF of 9 and 21 is 3

3(3x - 7)

I hope this helps!

through: (5, 5), slope = 10​

Answers

Answer:  The correct answer is y = 10x – 45

Step-by-step explanation:

When graphing a line with a slope of 10 from point (5,5), we find that the y-intercept (where the line crosses the y-axis) is -45

Use the slope-intercept form (y=mx+b), where m=slope (10) and b=the y-intercept (-45)

y = 10x - 45

a school ordered three large boxes of board markers after giving 15 markers to each of three teachers there were ninety X the diagram represents the situation how many markers were original in the

Answers

Determine the value of x.

[tex]\begin{gathered} x-15+x-15+x-15=90 \\ 3x=90+45 \\ x=\frac{135}{3} \\ =45 \end{gathered}[/tex]

So there are 45 markers originally in each box.

A cookie recipe called for 3 ¼ cups of sugar for every 2 ⅓ cups of flour. If you made a batch of cookies using 4 cups of flour, how many cups of sugar would you need?

Answers

1) Gathering the data

3 ¼ cups of sugar------------------ 2 ⅓ cups of flour

x 4

2) Let's set a proportion, and then cross multiply those ratios but before that

let's convert those mixed numbers:

[tex]\begin{gathered} 3\frac{1}{4}=\frac{4\times3+1}{4}=\frac{13}{4} \\ 2\frac{1}{3}=\frac{3\times2+1}{3}=\frac{7}{3} \end{gathered}[/tex][tex]\begin{gathered} \frac{13}{4}-----\frac{7}{3} \\ x\text{ -------4} \\ \frac{7}{3}x=4\times\frac{13}{4} \\ \frac{7}{3}x=13 \\ 7x=39 \\ x=\frac{39}{7} \end{gathered}[/tex]

So rewriting it above, we have. 39/7 as 39/7 is >1 then we can rewrite it into a Mixed Number:

3) Hence, I'll need 5 4/7 cups of sugar

Emmet opened a savings account and deposited 1,000.00 as principal the account earns 8%interest compounded monthly what is the balance after 9 years

Answers

We have to use the compound interest formula to solve this problem.

The compound interest formula:

[tex]F=P(1+r)^n[/tex]

Where

F is the future value [what we are solving for]

P is the principal, or initial, amount [It is $1000]

r is the rate of interest per period [It is given 8% annual interest, so 8/12 = 0.66% per month, in decimal that is r = 0.0066]

n is the time period [monthly compounding for 9 years is n = 12 * 9 = 108]

Now, we can substitute all the known information and solve for F:

[tex]\begin{gathered} F=P(1+r)^n^{} \\ F=1000(1+0.0066)^{108} \\ F=2048.06 \end{gathered}[/tex]

After 9 years, the balance is:

$2048.06

A robot can complete 10 tasks in hour. Answer in fraction form.How many tasks can the robot complete in 1 hour?How long does it take the robot to complete one task?hoursIf you have a mixed number put a space between the whole number and fraction. Ex 7=7 1/2tasks

Answers

Hello!

We know that the robot can complete 10 tasks in 3/4 hour.

To solve this exercise, we can use the rule of three, look:

How many tasks can the robot complete in 1 hour?[tex]\frac{\frac{3}{4}h\rightarrow10\text{ tasks}}{1h\rightarrow x\text{ tasks}}[/tex]

So, we have:

[tex]\begin{gathered} \frac{3}{4}x=10 \\ \\ x=\frac{10}{1}\div\frac{3}{4}\rightarrow\frac{10}{1}\times\frac{4}{3}=\frac{40}{3} \\ \\ \end{gathered}[/tex]

Let's write it as a mixed number:

Answer:

[tex]13\text{ }\frac{1}{3}\text{ tasks}[/tex]

How long does it take the robot to complete one task?

We'll solve it in a similar way, look:

[tex]\frac{\frac{3}{4}h\operatorname{\rightarrow}10\text{ tasks}}{x\text{ }h\operatorname{\rightarrow}1\text{ task}}[/tex][tex]\begin{gathered} 10x=\frac{3}{4} \\ \\ x=\frac{3}{4}\div\frac{10}{1}\rightarrow\frac{3}{4}\times\frac{1}{10}=\frac{3}{40}\text{ hours} \end{gathered}[/tex]

Answer:

[tex]\frac{3}{40}\text{ hours}[/tex]

solve using elimination-10x - 10y = 10 -2x - 5y = -19(_ , _)

Answers

The given system of equations is expressed as

-10x - 10y = 10

-2x - 5y = -19

The first step is to make the coefficients of one of the variables in each equation equal. To make the coefficient of x equal, we would multiply the first equation by 2 and the second equation by 10. It becomes

- 20x - 20y = 20 equation 3

- 20x - 50y = - 190 equation 4

We would eliminate x by subtracting equation 4 from equation 3. It becomes

- 20x - - 20x - 20y - - 50y = 20 - - 190

- 20x + 20x - 20y + 50y = 210

30y = 210

y = 210/30

y = 7

Substituting y = 7 into the second equation, it becomes

- 2x - 5 * 7 = - 19

- 2x - 35 = - 19

- 2x = - 19 + 35 = 16

x = 16/- 2

x = - 8

The solution is

(- 8, - 7)



Select ALL the pairs of points so that the line between these points has a slope of 2/3?(0,0) and (3, 2)(1,5) and (4,7)(-2,-2) and (4,2)0 (0,0) and (2,3)(20, 30) and (-20, -30)

Answers

Answer:

• (0,0) and (3, 2)

,

• (1,5) and (4,7)

,

• (-2,-2) and (4,2)

Explanation:

Points (0,0) and (3, 2)

[tex]m=\frac{2-0}{3-0}=\frac{2}{3}[/tex]

Points (1,5) and (4,7)

[tex]m=\frac{7-5}{4-1}=\frac{2}{3}[/tex]

Points (-2,-2) and (4,2)

[tex]m=\frac{2-(-2)}{4-(-2)}=\frac{2+2}{4+2}=\frac{4}{6}=\frac{2}{3}[/tex]

Points (0,0) and (2,3)

[tex]m=\frac{3-0}{2-0}=\frac{3}{2}[/tex]

Points (20, 30) and (-20, -30)

[tex]m=\frac{30-(-30)}{20-(-20)}=\frac{60}{40}=\frac{3}{2}[/tex]

The first three options are correct.

Write 6.546 x 10 ^-6 in standard notation

Answers

The given number in scientific notation is:

[tex]6.546\times10^{-6}[/tex]

In order to write it in standard notation, first take a look at the power: -6.

As it is a negative number, it means we need to move the dot to the left 6 units.

Therefore, we need to fill the blank places with zeros:

[tex]6.546\times10^{-6}=0.000006546[/tex]

What is the end behavior of f(x) =2^–x− 5 as x goes to infinity?

Answers

Given the function:

[tex]f(x)=2^{-x}-5[/tex]

As x goes to infinity, the term (2^-x) will go to zero

And the overall value of the function will be -5

So, the end behavior of f(x) as x goes to infinity = -5

Algebraic models grade 12 math please write the answers without explaining thank you.

Answers

[tex]d)6^{-1}[/tex]

Explanation

let's remember this property of the exponent number

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Step 1

solve by applying the property. ( let the same base and add the exponents)

[tex]\begin{gathered} 6^4\cdot6^{-5} \\ 6^4\cdot6^{-5}=6^{4+(-5)} \\ 6^4\cdot6^{-5}=6^{-1} \\ \end{gathered}[/tex]

hence, the answer is

[tex]d)6^{-1}[/tex]

I hope this helps you

can someone please help me find the answer to the following?

Answers

Answer:

1077.19 ft

Explanation:

Using the depression angle, we get that one of the angles of the formed triangle is also 18° because they are alternate interior angles, so we get:

Now, we can relate the distance x, the angle of 18°, and the height of the tower using the trigonometric function tangent, so:

[tex]\begin{gathered} \tan 18=\frac{Opposite}{Adjacent} \\ \tan 18=\frac{350}{x} \end{gathered}[/tex]

Now, solving for x, we get:

[tex]\begin{gathered} x\cdot\tan 18=x\cdot\frac{350}{x} \\ x\cdot\tan 18=350 \\ \frac{x\cdot\tan18}{\tan18}=\frac{350}{\tan 18} \\ x=\frac{350}{\tan 18} \end{gathered}[/tex]

Using the calculator, we get that tan(18) = 0.325, so x is equal to:

[tex]x=\frac{350}{0.325}=1077.19\text{ }ft[/tex]

Therefore, the forest ranger is at 1077.19 ft from the fire.

Use the drawing tools to form the correct answers on the graph Consider function f(x)= ( 1 2 )^ x ,x<=0\\ 2^ x ,&x>0 Complete the table of values for function and then plot the ordered pairs on the graph. - 2 -1 1 2 f(x)

Answers

[tex]\begin{gathered} \text{for }f\mleft(x\mright)=1/2^x\colon\text{ 4, 2, 1} \\ \text{for }f\mleft(x\mright)=2^x\text{ : 2, 4} \end{gathered}[/tex]

See explanation and graph below

Explanation:

For x less than or equal to zero, we would apply the function f(x) = (1/2)^x

For x greater than zero, we would apply the function f(x) = 2^x

when x = - 2 (less than 0)

This falls in the 1st function

[tex]\begin{gathered} f(-2)\text{ = (}\frac{1}{2})^{-2} \\ f(-2)=\frac{1}{(\frac{1}{2})^2}\text{ = 1}\times\frac{4}{1} \\ f(-2)=2^2\text{ = 4} \end{gathered}[/tex]

when x = -1 (less than 0)

This falls in the 1st function

[tex]\begin{gathered} f(-1)\text{ = (}\frac{1}{2})^{-1} \\ f(-1)\text{ = }\frac{1}{(\frac{1}{2})^1}\text{ = 2} \end{gathered}[/tex]

when x = 0 (equal to 0)

This falls in the 1st function

[tex]\begin{gathered} f(0)\text{ = (}\frac{1}{2})^0 \\ f(0)\text{ = 1} \end{gathered}[/tex]

when x = 1 (greater than 0)

This falls in the 2nd function

[tex]\begin{gathered} f(1)=2^1 \\ f(1)\text{ = 2} \end{gathered}[/tex]

when x = 2 (greater than 0)

THis falls in the 2nd function

[tex]\begin{gathered} f(2)\text{ = }2^2 \\ f(2)\text{ = 4} \end{gathered}[/tex]

Plotting the graph:

The end with the shaded dot reresent the function with equal to sign attached to the inequality [f(x) = (1/2)^x].

The end with the open dot represent the function without the equal to sign [f(x) = 2^x)

determine if each graph compares the diameter and the circle with the circle's radius area or circumference

Answers

The radius of the circle is half of the diameter. Therefore, if the diameter is 2 units, then the radius is 1 unit. If the diameter is 6 units, the radius will be 3 units. The graph that represents the relationship between radius and diameter is Graph B.

The circumference of the circle can be solved by multiplying the diameter and the value of pi. Therefore, this is a linear function. If the diameter is 4 units, the circumference is approximately 12.57 units. If the diameter is 6 units, the circumference is approximately 18.85 units. The graph that best represents the relationship between diameter and circumference is Graph C.

Lastly, the area of the circle with respect to the diameter is a quadratic function due to the nature of the formula that is A = πr². The graph of a quadratic function is parabolic in nature. Therefore, the graph that best represents the relationship between diameter and area is Graph A.

To summarize, the vertical axis for each graph is:

Graph A → Area

Graph B → Radius

Graph C → Circumference

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 16 gallons of fuel, the airplane 2104. When carrying 48 gallons of fuel, it weighs 2312. How much does the airplane weigh if it is carrying 66 gallons of fuel?

Answers

Let 'y' be the weight of the airplane corresponding to when the amount of fuel is 'x'.

Given that the airplane weighs 2104 when fuel is 16 gallons, this can be represented as the ordered pair,

[tex](16,2104)[/tex]

Also, given that the airplane weighs 2312 when fuel is 48 gallons.The corresponding ordered pair will be,

[tex](48,2312)[/tex]

It is mentioned that there is a linear relationship between the amount of fuel (x), and the weight of airplane (y).

Consider that the equation of a straight line passing through two given points is given by,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot(x_2-x_1)[/tex]

As per the given problem,

[tex]\begin{gathered} (x_1,y_1)=(16,2104) \\ (x_2,y_2)=(48,2312) \end{gathered}[/tex]

Substitute the values,

[tex]\begin{gathered} y-2104_{}=\frac{2312-2104}{48-16}\cdot(x-16) \\ y-2104_{}=\frac{13}{2}\cdot(x-16) \\ y-2104=\frac{13}{2}x-104 \\ y=\frac{13}{2}x-104+2104 \\ y=\frac{13}{2}x+2000 \end{gathered}[/tex]

At the instant when the fuel is 66 gallons,

[tex]x=66[/tex]

The corresponding weight of airplane is calculated as,

[tex]\begin{gathered} y=\frac{13}{2}(66)+2000 \\ y=429+2000 \\ y=2429 \end{gathered}[/tex]

Thus, the airplane weighs 2429 if it is carrying 66 gallons of fuel.

How do you write this as a power? 8x8x8x8x8x8 A) 86 B) 86 C) 68 D) 87

Answers

8 x 8 x8 x8 x8 x8 can be written as;

[tex]8^6[/tex]

The correct option is A)  [tex]8^6[/tex] . In the expression 8x8x8x8x8x8 can be written  in the exponentiation as [tex]8^6[/tex].

.

To write the expression 8x8x8x8x8x8 as a power, we can use exponentiation to represent the repeated multiplication.

Step by step, we can simplify the expression as follows:

Start with the given expression: 8x8x8x8x8x8.

Since all the factors are the same (8), we can rewrite the expression using the base (8) and the exponent representing the number of times it is multiplied (6 times).

Therefore, we can write 8x8x8x8x8x8 as  [tex]8^6[/tex].

Hence, the expression 8x8x8x8x8x8 can be written  in the exponentiation as [tex]8^6[/tex]. The correct option is A)  [tex]8^6[/tex]

.

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Which of the following is the closet approximation to 3√20?A) 3B) 5C) 2D) 4

Answers

The given expression is:

[tex]\sqrt[3]{20}[/tex]

This can also be written as:

[tex]20^{(\frac{1}{3})}[/tex]

The result = 2.71

Since 7 is greater than 5, it will become 0 and add 1 to 2 to become 3

Therefore, the closest approximation is 3

ty-qy+p=r solve for y

Answers

[tex]\begin{gathered} ty-qy+p=r \\ ty-qy+p-p=r-p \\ ty-qy=r-p \\ y(t-q)=r-p \\ \frac{y(t-q)}{t-q}=\frac{r-p}{t-q} \\ y=\frac{r-p}{t-q} \end{gathered}[/tex]

2. Given the degree and zero of a polynomial function, identify the missing zero and then find the standard form of the polynomial
Degree: 2; zero: -7 + 2i

The missing zero is:

+
i

The expanded polynomial is:

Answers

The expanded quadratic equation with real coefficients is y = x² + 14 · x + 45.

How to determine the least polynomial that contains a given root

In this problem we need to determine the expanded quadratic equation with real coefficients such that one of its roots is - 7 + i 2. According with the quadratic formula, quadratic equations can have two conjugated complex roots, that is:

r₁ = α + β, r₂ = α - β

Then, the complete set of roots of the quadratic equation are r₁ = - 7 + i 2 and r₂ = - 7 - i 2. Then, the factor form of the polynomial is:

y = (x + 7 - i 2) · (x + 7 + i 2)

y = x · (x + 7 + i 2) + (7 - i 2) · (x + 7 + i 2)

y = x² + 7 · x + i 2 · x + (7 - i 2) · x + 7 · (7 - i 2) + i 2 · (7 - i 2)

y = x² + 7 · x + i 2 · x + 7 · x - i 2 · x + 49 - i 14 + i 14 - i² 4

y = x² + 14 · x + 45

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1. ABC Bank offers a certificate of deposit (CD), where you deposit money and are required to leaveit in the account for a set amount of time. You will be penalized if you withdraw your money fromit early. Suppose you want to deposit $6,000 in a 5-year CD where interest is accrued daily (1 year= 365 days).(a) How much money will you have in the account after 5 years if the APR is 2.12%? Round yourfinal answer to 2 decimals.(b) What is the annual percentage yield (APY) on this account? Round your final answer to 2decimals.

Answers

To calculate the ampount of money in the account after 5 years, we will use the formula:

[tex]A=p(1+\frac{r}{n})^{nt}[/tex]

where A is the final amount

P is the initial amount or principal

r is the rate

n is the number of times the interest is applied

t is the time in years

From the question,

P = $6000 r = 2.12/100 = 0.0212 t= 5 n=365

substitute the values ibto the formula and evaluate

[tex]A=6000(1+\frac{0.0212}{365})^{365\times5}_{}[/tex][tex]A=6000(1+\frac{0.0212}{365})^{1825}[/tex][tex]A=6670.91[/tex]

The amount is $6670.91

b)

To find the annual percentage yield (APY) on this account, we will use the formula:

[tex]APY=(1+\frac{r}{n})^n-1[/tex]

A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same height?choice;45 cubic feet90 cubic feet270 cubic feet30 cubic feet

Answers

Solution

Step-by-step explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = 1/3 x Volume of rectangular pyramid

[tex]\begin{gathered} \frac{1}{3}\times90 \\ =30\text{ cubic feet} \end{gathered}[/tex]

Therefore the volume of the rectangular pyramid = 30 cubic feet

Help fast plssssss!!

Answers

The line above in slope-intercept form is y=-3/5x-7

write an equation of the circle that passes through (2, 8) with center (-3 4)

Answers

we have, the equation is of the form

[tex](x-h)^2+(y-k)^2=r^2[/tex]

then, first calculate the radius of the circle

[tex]\begin{gathered} r=\sqrt[]{(x2-x1)^2+(y2-y1)} \\ r=\sqrt[]{(14-14)^2+(-8-1)^2} \\ r=\sqrt[]{0+(-9)^2} \\ r=\sqrt[]{81} \\ r=9 \end{gathered}[/tex]

so, (h,k) is the center and the equation is

[tex]\begin{gathered} (x-14)^2+(y-(-8))^2=9^2 \\ (x-14)^2+(y+8)^2=81 \end{gathered}[/tex]

Campsite A and campsite B are located directlyopposite each other on the shores of Lake Omega,as shown in the diagram below. The two campsitesform a right triangle with Sam's position, S. Thedistance from campsite B to Sam's position is1,300 yards, and campsite A is 1,700 yards from hisposition1,700 yardsLake OmegaB1,300 yardsSWhat is the distance from campsite A to campsiteB, to the nearest yard?

Answers

Answer:

The distance from campsite A to campsite B is;

[tex]1095\text{ yards}[/tex]

Explanation:

Given that The two campsites A and B form a right triangle with Sam's position, S.

The distance from campsite B to Sam's position is 1,300 yards, and campsite A is 1,700 yards from his position;

[tex]\begin{gathered} AS=1700\text{ yards} \\ BS=1300\text{ yards} \end{gathered}[/tex]

Applying pythagorean theorem, to solve for the third side AB;

[tex]\begin{gathered} AS^2=AB^2+BS^2 \\ \text{making AB the subject of formula;} \\ AB^2=AS^2-BS^2 \\ AB=\sqrt[]{AS^2-BS^2} \end{gathered}[/tex]

Substituting the given values;

[tex]\begin{gathered} AB=\sqrt[]{1700^2-1300^2} \\ AB=\sqrt[]{1200000} \\ AB=1095\text{ yards} \end{gathered}[/tex]

Therefore, the distance from campsite A to campsite B is;

[tex]1095\text{ yards}[/tex]

A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

Part A: Find the constant of proportionality. Show every step of your work. (4 points)

Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)

Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)

Part D: How many gallons of water are needed for 10 scoops of drink mix? (2 points)

please help asap its almost to late

Answers

All the answers to the given parts are mentioned below -

What is the general equation of a Straight line? How it represents a proportional relationship?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

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Find the length of the leg x. enter the exact value, not a decimal approximation x1210x=

Answers

We can solve for the value of x using pythagorean theorem

[tex]c^2=a^2+b^2[/tex]

where c is the hypotenuse ( in this case is 15) and a, b are the other legs of the triangle ( in this case is 8 and x).

Let's substitute the given values to the formula

[tex]\begin{gathered} c^2=a^2+b^2 \\ 15^2=8^2+x^2 \\ 225=64+x^2 \\ x^2=225-64 \\ x^2=161 \\ x=12.69 \end{gathered}[/tex]

Now please follow this solution to solve for x in:

101987006HR5SrOL4.3ON21.1 2 345 6 78 9 10Which of these statements are true for the scatter plot? Select all that apply.The scatter plot shows a negative association.The scatter plot shows a linear association.The scatter plot shows a positive association.The scatter plot shows no association.

Answers

The scatter plot shows a linear association.

The scatter plot shows a positive association.

Other Questions
What diagrams can help support my answer and explain why is does it support? Us a tree diagram to find the sample space and the total number of possible outcomesSo which choice is the answer. Ahmad is choosing between two exercise routines.In Routine #1, he burns 20 calories walking. He then runs at a rate that burns 10.5 calories per minute.In Routine #2, he burns 46 calories walking. He then runs at a rate that burns 5.3 calories per minute.For what amounts of time spent running will Routine #1 burn fewer calories than Routine #2?Use t for the number of minutes spent running, and solve your inequality for t.0OSDDADx5?ExplanationCheck Can you please help me out which of the following are reasons a firm might choose to advertise? correct answer(s) to improve product visibility press space to open to educate consumers about a product press space to open to make demand for its product more elastic press space to open to lower costs press space to open to signal that a product is of high quality press space to open to improve efficiency 6) How long will it take for an investment to double in value if it earns 4.75% compoundedcontinuously?A) 14.593 yearsB) 15.711 years C) 23.129 years D) 7.296 years which functions are correctly graphed? A full-grown monarch caterpillar weights 0.75 grams, has a length of 5 centimeters, and is about 2.5 centimeters around. How can the surface area of the caterpillar be estimated? A ___ can be used to model the surface area of the caterpillar. Based on the model, the caterpillar has an approximate surface area of ___ square centimeters.The choices for the first blank are:*rectangular prism*triangular prism*sphere *cylinderThe choices for the second blank are:*13.5*6.75*49.1*117.8 PLEASE HELP - 100 PTS AND BRAINLIESTIndicate the number of protons, neutrons, and electrons in isolated ions having the following nuclear symbols:a) 19F1- has ? protons, ? neutrons, and ? electrons.b) 24Mg2+ has ? protons, ? neutrons, and ? electrons.c) 56Fe3+ has ? protons, ? neutrons, and ? electrons. Ignore the 58.I just need to find the m Suppose cone a is similar to cone b and the scale factor between the solids is 3:2, respectively. If the height of cone a is 15 inches, determine the height of cone b. I just need to know the answer to question 11 write in algebraic expression1) quotient of a number b and 36 2) 45 divided into a number r3) sum of 21 and a number x4) a number z less 19 5) a number f divided by 6 A ship travels from Akron (A) on a bearing of 030 to Bellvilie (B),90km away. It then travels to Comptin (C) which is 310 km due east of Akron (A).Draw a diagram showing the movement of the ship indicate:a.)Northb.)the distances travelledc.)the know angles Totsakan enlarged the size of a photo to aheight of 18 in. What is the new width if itwas originally 2 in tall and 1 in wide? Covalent compounds are formed when metals are bonded to nonmetals? True or Flase Indicate whether each of the following would result in a more dilute urine or a more concentrated urine.Drinking a large volume of water on a day when you rested and stayed inside Increasing the permeability of the collecting duct to water Working outside on a hot day without access to drinking water. Overexpression of aquaporins.Overproduction of aldosteroneA blow to the head that severs the stalk of the pituitary glandOverdosing on Losartan, a drug that blocks the action of angiotensin IIWould Result in a More Concentrated UrineWorking outside on a hot day without access to drinking water.Overexpression of aquaporinsIncreasing the permeability of the collecting duct to water Would Result in a More Dilute UrineDrinking a large volume of water on a day when you rested and stayed inside Overdosing on Losartan, a drug that blocks the action of angiotensin II Overproduction of aldosterone Why did Washington plan his attack on Trenton on Christmas Day What is the name for N2P3?a) Triphosphorus Dinitrideb) Dinitrogen Triphosphidec) Nitrogen Monophosphided) Nitrogen Phosphide Rudolph's mother is a physicist. She gave him a present for his birthday, butshe told him he can only open it if he can calculate its mass. She told him thatthe normal force the table exerts on the gift is 55 N. What is the mass of thegift?