THIS QUESTION IS WHAT I NEED ANSWERED

Pool Capacity = 540 gallons

Saturday = 180 gallons

Hose water rate = 9 gallons per minute

540 = 180+9m

Where m is the number of minutes (independent variable)

Solve for m :

540-180 = 9m

360 = 9m

360/9= m

40 =m

It will take 40 minutes.

Answer:

One Solution

Step-by-step explanation:

v can only equal 6

Answer:

3+ 1x = y

Step-by-step explanation:

a flat rebate means no matter how many days it will only be $3 so you add the 3 and you don’t know how many day you’ll rent the shoes so you put a variable next to the 1 and the 1 times however many days plus 3 will be your cost

Answer:

True

Step-by-step explanation:

The equation 154 = -4(8+6r) + 24r has no solution because the variable becomes 0.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We have to find the variable r of the equation to solve the equation.

A variable is a number represented with letters in an equation.

Therefore, let's find the variable r in the equation.

154 = -4(8+6r) + 24r

open the brackets on the right side of the equation

154 = - 32 - 24r + 24r

154 = -32 + 0

Therefore, the equation cannot be solved.

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Given:

2+4+6+8+10+.....+50

Let the sum of the first n natural numbers be

Therefore the sum of first 25 positive even numbers is

Therefore,The sum is the product of the number of terms and the number of terms plus one.

Option B is the correct answer.

Answer:

A = 48 cm^2

P = 38

Step-by-step explanation:

Area:
We can calculate the area of the more left shape first. We know that one side is 9 cm, but the second side is trickier. For the second side, we need to take the total measurement of the bottom area and subtract it from 6, because that is the part of the 10 cm we don't need. This gives us the first box is 9 cm x 4 cm = 36 cm^2. Then for the second box, we take the 6 cm and 2 cm giving us 6 cm x 2 cm = 12 cm^2. 36 cm^2 + 12 cm^2 = 48 cm^2.

Perimeter:
We will take all of the easy measurements first. We take 9 + 10 + 2 + 6 = 27 cm. Then we need to take 6 away form 10 again giving us 4, and 2 away from 9, giving us 7. 27 + 4 cm + 7 cm = 38 cm.

The equation of the ellipse with a vertical major axis, center at (1, -3), a = 7, and b = 5 is; (x - 1)²/25 + (y + 3)²/49 = 1

The general format for equation of an ellipse with center (h, k) and vertical major axis is;

(x - h)²/b² + (y - k)²/a² = 1

We are given the following;

center at (1, -3)

a = 7

b = 5

Thus;

Equation of ellipse with given parameters is;

(x - 1)²/5² + (y + 3)²/7² = 1

This simplifies to;

(x - 1)²/25 + (y + 3)²/49 = 1

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The total number of smoothies that Autumn can make with the yoghurt is 165.

We know that the total number of cups of yoghurt that Autumn needs to make smoothies is 55. Each smoothie uses 1/3 cup of yogurt. We need to calculate the total number of smoothies that Autumn can make with the yogurt.

Let the total number of smoothies be represented by the variable "N''. We will use the unitary method. The total number of smoothies that can be made is the ratio of the total number of cups of yoghurt to the fraction of a cup used to make one smoothie.

N = 55/(1/3)

N = 55*3

N = 165

Hence, Autumn can make 165 smoothies from 55 cups of yogurt.

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Answer: L BOZO

Step-by-step explanation:

L+RATIO=BOZO

The ratio for 8 squares and 10 triangles is 4:5.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, the ratio for 8 squares and 10 triangles will be:

= Number of square / Number of triangle

= 8/10

= 4/5

The ratio is 4:5.

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Checking the given graph, it can be seen that the range of values of x is

The range of values of x are the values of the domain of the graph function

A. -4; -4 does not satisfy the function of the graph

We need to find the equation of the line that joins the points ( 4 , 7 ) and ( 6 , 2 )

The general equation of the line is ;

where m is the slope and b is y - intercept

the slope = Rise/Run

Rise = 7 - 2 = 5

Run = 4 - 6 = -2

so, the slope :

So, the equation of the line :

Using any point from the given points to find the value of b

So, using ( 4 , 7 )

when x = 4 , y = 7

So, the equation of the line is:

Using the perpendicular bisector theorem, we have the following:

then we can write the following equation:

solving for x, we have:

we get x = 8. Then, the length of FH is:

therefore, FH = 16

Answer:

(3, -4)

Step-by-step explanation:

To solve the system of equations by substitution, start by labelling the 2 given information.

y = x - 7 -----(1)

5x + 2y = 7 -----(2)

Substitute (1) into (2):

5x + 2(x - 7) = 7

Expand:

5x + 2x - 14= 7

7x = 14 + 7

7x = 21

Divide both sides by 7:

x = 21 ÷ 7

x = 3

Substitute into (1):

y = 3 - 7

y = -4

Thus, the solution to the equations is (3 , -4).

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Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

x = 11.1

Note that the Pythagora's theorem is applied in solving this exercise

The Pythagora's theorem states that "the square of the hypotenuse equals the sum of the squares of the other two sides"

Hypotenuse is the longest side of the right-angled triangle:

Hypotenuse = 22

Maria spends $22 on lottery tickets every week and $133 every month on food yearly

This means that in a year

there are 52 weeks and she spends 22 x 52 = $1,144 on Lottery tickets

and there are 12 months in a year, so she spends 133 x 12 = $1,596 on food

The money spent to buy lottery tickets in relation to the money spent on food yearly in percentage is

Answer:

Translated right [tex]\frac{7}{2}[/tex] units and vertical stretch

OR

translated right 3.5 units and vertical stretch

bcz

[tex]\frac{7}{2} =3.5[/tex]

Step-by-step explanation:

The absolute function is given as:

[tex]g(x) = |1-2x+6|[/tex]

If we simplify the equation, then we have

[tex]g(x) = |1-2x+6|\\g(x)=|-2x+6+1|\\g(x)=|-2x+7|\\g(x)=2|x-\frac{7}{2} |[/tex]

Now we can say that the transformation of g(x) to the parent function will be translated right [tex]\frac{7}{2}[/tex] units and vertical stretch (bcz you have a number (2) multiplying the function).

If the sign of the number that adds to the independent variable is negative, the transformation will be translated to the right, and if it is positive, it will be translated to the left.

To answer this question, we need to take into account that the two ships continue sailing at the same rate and direction, and we can solve this using the unit rate concept, as follows:

If they continue sailing at this same rate, then, after two hours they will be:

They will have 2.56 miles more distance between them.

Then, they will be separated by a distance of:

In summary, we have that the answer is 5.76 miles.

The solution to the fraction two and one-third times four-fifths equals one and thirteen-fifteenths.

The correct answer option is option C

A fraction refers to a part of a whole, especially a comparatively small part. It is also the ratio of two numbers, the numerator and the denominator, usually written as one above the other and separated by a horizontal bar.

A numerator is the number above the horizontal bar while the denominator is the number below the horizontal bar in a fraction.

Two and one-third times four-fifths

= 2 1/3 × 4/5

= 7/3 × 4/5

= (7 × 4) / (3 × 5)

= 28 / 15

= 1 13/15

Therefore, the fraction two and one-third times four-fifths equals one and thirteen-fifteenths.

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Since Kelly chooses one tile, places it back in the box, and then choose another tile, we have that the total outcomes are 4x4 = 16.

Now, we can write easily all the outcomes :

notice that on the first row, only the event (8,1) gives us that the sum is greater than 7.

On the second row,we have the same for events (4,4),(5,4) and (8,4)

On the third row only (1,5) gives us a sum lesser than 7, then here we have 3 more events that fit our criteria.

On the last row, all events gives us a sum greater than 7,then we have another 4 events.

Then, the probability that the sum of two chosen tiles is greater than 7 is:

Determine the y-intercept of the equation -x + 2y = 10

a. 1

b.-10

C. 5

d. 2

__________________________________________

y-intercept is (0, b)

y = mx +b

-x + 2y = 10

2y = x +10

y = 1/2 x + 5

______________

if x= 0

y= 1/2 *0 +5

y= 5

____________________

The y-intercept is (0, 5 )

The answer is c

The cost of Anya's lunch would be = $25

Lunch is the type of meal that is taken after the noon day or in the afternoon.

The percentage of tip left by Jordyn and Anya = 30%

The amount of the tip = $14.10

If 30% = 14.10

100% = $x

$x = 100 × 14.10/30

$x = 1,410/30

$x = 1,410/30

$x = $47

This is the total amount for the cost of lunch.

To find Anya's cost for lunch would be;

Total cost - Jordyn lunch cost = Anya lunch cost

Anya lunch cost = 47 - 22

= $25

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Okay, here we have this:

We will take as the first term the upper squares and as the second term the lower ones, and we obtain that:

Here we obtain that the correct answer is the option D.

Answer:

24 teaspoons of yellow

Step-by-step explanation:

The ratio of blue to yellow is 6 to 8.

[tex] \frac{6}{8} = \frac{18}{y} [/tex]

We see that y = 24 since 18 = 3 × 6 and

24 = 3 × 8.

sin^-1 (-1/2) is 30 degrees measured from the x-axis in the clockwise direction, that is, in the fourth quadrant.

The below figure serves as a reference for quickly determining the sines (y-value) and cosines (x-value) of angles that are commonly used in trigonometry. As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° (), 45° (), 60° () and their respective multiples. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used.

One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and progressing through 90°, sin(0°) = 0 = . The subsequent values, sin(30°), sin(45°), sin(60°), and sin(90°) follow a pattern such that, using the value of sin(0°) as a reference, to find the values of sine for the subsequent angles, we simply increase the number under the radical sign in the numerator by 1, as shown below.

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Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Answer:

constant term = 6

Step-by-step explanation:

if you multiply the constant terms within each factor together you get the constant term of the expansion of p(x) , that is

constant term = 3 × 2 × 1 = 6

EXPLANATION

Since the average speed is given by the equation:

Computing s(10) and s(12):

Now, computing s(12):

In conclusion, the solutions are:

s(10) = 6 miles per hour

s(12) = 7 miles per hour