To find the ratio that would create the same orange color, we need to find the value from the division of the number of drops of each color of the food coloring.
From the present question, we know that Mia uses 4 drops of red for every 6 drops of yellow. It means that, for every 10 drops, 4 is red and 6 is yellow.
The ratio is:
( I will be finishing once I understand the best way to give you the final answer"
my work is saying solve for the value of a
Using the definition of suplementary angles we know that the angle that contains a and the 75° added together are 180°
[tex]75+(9a+6)=180[/tex]solve the equation for a
[tex]\begin{gathered} 81+9a=180 \\ 9a=180-81 \\ 9a=99 \\ a=\frac{99}{9} \\ a=11 \end{gathered}[/tex]The following two-way table describes student'safter school activities. Find the probability that arandomly selected student is in sports.GradeMusic/DramaWorkSports20Sophomore73Junior2013255SeniorP(Sports) = [? ]%25
Solution
The Probability that a random selected students is in sports is
[tex]P(Sports)=\frac{65}{Total}=\frac{65}{20+20+25+7+13+5+3+2+5}=0.65=65\%[/tex]The answer is 65%
change to y=mx+b form 3x-y=6
Starting with the equation:
[tex]3x-y=6[/tex]Isolate the variable y. Substract 3x from both sides of the equation:
[tex]-y=6-3x[/tex]Multiply both sides of the equation by -1:
[tex]y=-6+3x[/tex]Use the commutative property of the sum to rewrite the right hand side of the equation:
[tex]y=3x-6[/tex]This equation is written in the form y=mx+b.
create 3 equivalent fractions for the fraction 2/7 . Explain how all of those are equivalent
create 3 equivalent fractions for the fraction 2/7 . Explain how all of those are equivalent
we have the fraction
2/7
Remember that equivalent fractions are fractions that the quotient is the same
If you multiply a number by 1 or 1/1 the result is the same number
Example
if you have 2/7 and you multiply by (3/3)
(2/7)*(3/3)
remember that 3/3=1
so
(2/7)*(3/3)=6/21
2/7 and 6/21 are equivalent fractions
because
2/7=0.2857
6/21=0.2857
second equivalent fraction
2/7 multiply by 5/5
(2/7)(5/5)=10/35
2/7 and 10/35 are equivalent
because
2/7=0.2857
10/35=0.2857
third equivalent fraction
2/7 multiply by 4/4
(2/7)(4/4)=8/28
2/7 and 8/28 are equivalent
because
2/7=8/28
multiply in cross
2*28=7*8
56=56 ----> is true
that means
fractions are equivalent
Remember
If you multiply the numerator and denominator of a fraction, by the same number, you obtain a equivalent fraction
14 Find the percent increase or decrease for each of the following values (indicate whether each is an increase or a decrease). a. 4x to x/ b. 0.25m to 0.5m 5 c. + 2p to d.y to 0.687 8 р 15 Consider the following relationships. TI. 1
The percentage increase or decrease is given by
[tex]\frac{final\: \text{amount}-original\: \text{amount}}{original\: \text{amount}}\times100\%[/tex]Let us find the percentage increase or decrease for the given cases.
a) 4x to x
[tex]\begin{gathered} \frac{x-4x}{4x}\times100\% \\ \frac{-3x}{4x}\times100\% \\ -0.75\times100\% \\ -75\% \end{gathered}[/tex]Therefore, it is a percentage decrease (-75%) since it is negative.
b) 0.25m to 0.5m
[tex]\begin{gathered} \frac{0.5m-0.25m}{0.25m}\times100\% \\ \frac{0.25m}{0.25m}\times100\% \\ 1\times100\% \\ 100\% \end{gathered}[/tex]Therefore, it is a percentage increase (100%) since it is positive.
c) 1/2p to 5/8p
[tex]\begin{gathered} \frac{\frac{5}{8}p-\frac{1}{2}p}{\frac{1}{2}p}\times100\% \\ \frac{\frac{1}{8}p}{\frac{1}{2}p}\times100\% \\ \frac{1}{8}\times\frac{2}{1}\times100\% \\ \frac{2}{8}\times100\% \\ \frac{1}{4}\times100\% \\ 25\% \end{gathered}[/tex]Therefore, it is a percentage increase (25%) since it is positive
d) y to 0.68y
[tex]\begin{gathered} \frac{0.68y-y}{0.68y}\times100\% \\ \frac{-0.32y}{0.68y}\times100\% \\ -0.47\times100\% \\ -47\% \end{gathered}[/tex]Therefore, it is a percentage decrease (-47%) since it is negative.
The length of cell A is 3x10-5 m. The length of cell B is 0.000001 m.What is the ratio of cell A's length to cell B's length? Use pencil and paper. Is it easier to find the ratiowhen the numbers are expressed in scientific notation or in standard form? Explain your reasoning.The ratio of cell A's length to cell B's length is(Type the ratio as a simplified fraction.)
we have the following:
[tex]\begin{gathered} r=\frac{L_A}{L_B} \\ r=\frac{3\cdot10^{-5}}{0.000001}=\frac{3\cdot10^{-5}}{1\cdot10^{-6}} \\ r=30 \end{gathered}[/tex]the rario is 30
g(x)= 6/x find (g°g). and domain in set notation.
We have to find the expression for the composition
[tex]g\circ\text{ g\lparen x\rparen}[/tex]Where
[tex]g(x)=\frac{6}{x}[/tex]And express its domain in set notation. We will start by finding the expression for the composition
[tex]g\circ\text{ }g(x)=g(g(x))=g(\frac{6}{x})[/tex]that is we firsts evaluate the inner functions that in this case is g, now taking as argument y=6/x, we evaluate the outer function that in this case also is g, as follows:
[tex]g\text{ \lparen }\frac{6}{x})=\frac{6}{\frac{6}{x}}=\frac{6}{6}=x[/tex]That is, the composition g*g is equal to x, the identity.
Now we will find the domain of g*g:
Note that the domain of a composition is an interception, as follows:
[tex]Domain\text{ }g\circ\text{ g=\textbraceleft Domain of }g\text{ \textbraceright }\cap\text{ \textbraceleft Image of }g\text{ \textbraceright}[/tex]Therefore, we have to find the domain and image of g, and intercept both sets. We start with the domain of g_
[tex]Domain\text{ of }g\text{ }=\text{ }\mathbb{R}\text{ - \textbraceleft0\textbraceright}[/tex]That is all the real numbers except the 0. Now note that the image of g is
[tex]Image\text{ g= }\mathbb{R}\text{ - \textbraceleft0\textbraceright}[/tex]Finally, the domain of the composition g*g, can be obtained by the formula above:
[tex]Domain\text{ of }g\circ\text{ g=}\mathbb{R}\text{ -\textbraceleft0\textbraceright }\cap\text{ }\mathbb{R}\text{ - \textbraceleft0\textbraceright= }\mathbb{R}\text{ - \textbraceleft0\textbraceright=}(-\infty\text{ },0)\text{ }\cup\text{ }(0,\infty)\text{ }[/tex]Therefore, the domain of the composition are all the real numbers excluding the 0.
-
Can you hello me with number 2 using 3.14 and I have to round to the answer to the nearest tenth as well thanks
Given data:
Radius of the circle = 10in.
To find:
The circumference of the circle.
The formula to find the cicumference of the circle is,
[tex]C=2\pi r[/tex]subsitute the values of,
[tex]\begin{gathered} r=\text{ 10in} \\ \pi=3.14 \end{gathered}[/tex]we get,
[tex]\begin{gathered} C=2\cdot3.14\cdot10 \\ =62.8 \end{gathered}[/tex]THE CIRCUMFERENCE OF THE CIRCLE IS 62.8 IN
POSThe expression(-4)(x) is equivalent to the expression x”. What is the value of n?n =
given expression:
[tex]\mleft(-4\mright)\mleft(x\mright)=x^n[/tex]To find the value of n.
[tex]\begin{gathered} \ln \mleft(\mleft(-4\mright)x\mright)=n\ln \mleft(x\mright) \\ n=\frac{\ln\left(-4x\right)}{\ln\left(x\right)} \end{gathered}[/tex]Hello I need help with this please , I was studying it I don’t get this
Given that
The Pythagoras theorem is true for all right triangles or not.
Explanation -
For each and every right-angled triangle the Pythagoras theorem can be used.
So the final answer is True.Bruce owns a small grocery store and darges per pound et produce Ir a customer orders S pounds of prodeer, om zich das Bruxe charge the castomert function
bruce will charge the customer $23.75
Explanation:
Amount charged per pound = $4.75
Let the number of pounds of produce = x
Total cost per number of pounds = $4.75 × x
Let the total cost of produce = y
y = 4.75x
If the number of pounds of produce = x = 5
y = 4.75 (5)
y = $23.75
Therefore, bruce will charge the customer $23.75
What should your brain immediatelythink when it sees5(11 + 4y)
Distributive Property , I need to multiply!
Explanation
[tex]5(11+4y)[/tex]
Step 1
to find the value of y, you need isolate it
to do that, you will have to eliminate the parenthesis, you can remove it using
THE DISTRIBUTIVE PROPERTY
[tex]\begin{gathered} a(b+c)=ab+ac \\ \end{gathered}[/tex]Step 2
then
[tex]5(11+4y)=5\cdot11+5\cdot4y=55+20y[/tex]I hope this helps you.
I need help with this geometry question can someone help me the first one says parallelogram with non perpendicular and non congruent adjacent sides, trapezoid with exactly one pair of parallel sides, rectangle with non congruent adjacent sides, and rhombus with non perpendicular adjacent sides
a) rhombus with no perpendicular adjacent sides.
b) kite
10.Find the approximated circumference of a circle whose area is 136.46
The area of a circle is given by the following formula:
[tex]A=\pi r^2[/tex]Where r is the radius.
We know the area of the circle, then we can replace it in the formula and find r:
[tex]\begin{gathered} 136.46=\pi\cdot r^2 \\ r^2=\frac{136.46}{\pi} \\ r^2=43.44 \\ r=\sqrt[]{43.44} \\ r=6.59 \end{gathered}[/tex]The circumference of a circle is given by the formula:
[tex]C=2\pi r[/tex]By replacing the r-value that we found, we can solve for C:
[tex]\begin{gathered} C=2\cdot\pi\cdot6.59 \\ C=41.41 \end{gathered}[/tex]The approximated circumference of the circle is 41.41
A community boating center had $12,500. It bought 3 surf skis and 1 keelboat and had $265 left over. The keelboat cost $6,455 more than a surf ski. How much did the keelboat cost?
The cost of one keelboat is $7950
Given, A community boating center had $12,500.
It bought 3 surf skis and 1 keelboat and had $265 left over.
The keelboat cost $6,455 more than a surf ski.
Let the cost of one surf ski be x,
According to question,
cost of one keelboat = x + 6455
also, 3x + (x + 6455) + 265 = 12500
4x + 6520 = 12500
4x = 5980
x = 1495
So, the cost of one surf ski is $1495
and the cost of one keelboat is 1495 + 6455
= $7950
Hence, the cost of one keelboat is $7950
Learn more about Linear Equations here https://brainly.com/question/25869125
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Solve the inequality: 4x + 8 - 5x > 13
4x+8-5x > 13
Combine like terms
4x-5x+8> 13
-x +8 > 13
Subtract 8 from both sides:
-x+8-8 > 13-8
-x > 5
Multiply both sides by -1
x < -5
which does not name an integer a.-35 b. 0 c. 3/15d. 10/2
The integer numbers are the whole numbers or the numbers that are not written as a/b
For the given question
-35 is an integer number
0 is an integer number
10/2 = 5 is an integer number
3/15 = 1/5 is not an integer number
So, the answer will be option c. 3/15
use the equation of a parabola in standard form having a vertex at (0, 0), x^2= 8y.Solve the equation for "p" and then describe the focus (0, p), the directrix, and the 2 focal chord endpoints.
Solution
We have the following equation:
[tex]x^2=8y[/tex]the general formula for a parabola is given by:
[tex](x-h)^2=4p(y-k)[/tex]Where (h,k) =(0,0) represent the vertex, so then our equation is:
[tex]x^2=4py[/tex]By direct comparison we have this:
4p= 8
p = 2
Then the focus is given by:
(0,p) = (0,2)
the directrix is given by:
y= 0-p = 0-2= -2
y=-2
And finally the 2 focal chord endpoints are:
[tex](|2p|,p)=(4,2),(-|2p|,p)=(-4,2)[/tex]Find XFind yThe trapezoids shown below are similar. Find the length of x and y.10x 14Solve for X4 holy/2 1014Solve for y4(4x4) 11977 (10x2) 142Х[X=1.616/10l y- 2014y = 519) X1.6520) y=21) What scale factor was used to create the image of the new trapezoid? (figure 1+figure 2)Record your answer and fill in the bubbles. Be sure to use the correct place value.
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
so
Find the value of x
applying proportion
4/x=10/4
or
x/4=4/10
x=16/10
x=1.6
Find the value of y
y/2=10/4
y=5
Find the scale factor
In this problem we have an enlargement,
that means ------> the scale factor is greater than 1
Divide 10/4=2.5
the scale factor is 2.5
7. Zak buys 6 gallons of fruit punch. He hascoupons for $0.55 off the regular price ofeach gallon of fruit punch. After using thecoupons, the total cost of the fruit punch is$8.70. Find the regular price of a gallon offruit punch. (Example 2)
Zak buys 6 gallons of fruit punch.
He has coupons for $0.55 off the regular price of each gallon of fruit punch.
This means that $0.55 will be subtracted from the regular price of each gallon.
After using the coupons, the total cost of the fruit punch is $8.70.
Let x be the regular price of each gallon of fruit punch.
[tex](x-\$0.55)\times6=\$8.70[/tex]Now let us solve this equation for x.
[tex]\begin{gathered} (x-\$0.55)\times6=\$8.70 \\ 6x-\$3.3=\$8.70 \\ 6x=\$8.70+\$3.3 \\ 6x=\$12 \\ x=\frac{\$12}{6} \\ x=\$2 \end{gathered}[/tex]Therefore, the regular price of each gallon of fruit punch is $2
The figure below is a net for a right rectangular prism. Its surface area is 432 m2 andthe area of some of the faces are filled in below. Find the area of the missing faces,and the missing dimension.
The surface area is the sum of all the areas in the given prims, then we have:
[tex]SA=72+72+48+48+2A[/tex]Plugging the value for the surface area and silving for A we have:
[tex]\begin{gathered} 432=72+72+48+48+2A \\ 432=240+2A \\ 2A=432-240 \\ 2A=192 \\ A=\frac{192}{2} \\ A=96 \end{gathered}[/tex]Now that we know the missing area we can know the missing dimension:
[tex]\begin{gathered} 96=8x \\ x=\frac{96}{8} \\ x=12 \end{gathered}[/tex]Therefore the missing length is 12.
What is a formula for the nth term of the given sequence?135, -225,375...
Step 1: Write out the formula for a geometric sequence
[tex]\begin{gathered} T_n=ar^{n-1} \\ \text{Where} \\ T_n=\text{ the nth term} \\ a=\text{ the first term} \\ r=\text{ the common ratio} \end{gathered}[/tex]Step 2: Write out the given values and find the formula
[tex]\begin{gathered} a=135, \\ r=-\frac{225}{135}=-\frac{5}{3} \end{gathered}[/tex]Therefore the formula is given by
[tex]T_n=135(-\frac{5}{3})^{n-1}[/tex]Hence, the correct choice is the first choice
We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because .
The first answer is: definition of complementary angles.
The second is: of the triangle sum theorem.
The third one is: substraction property
Solve the following inequality for kk. Write your answer in the simplest form.8k - 3 > 9k + 10
Given:
[tex]8k-3>9k+10[/tex]To solve for k:
Solving we get,
[tex]\begin{gathered} 8k-3>9k+10 \\ 8k-9k>10+3 \\ -k>13 \\ k<-13 \end{gathered}[/tex]Hence, the answer is,
[tex]k<-13[/tex]On his way home from school board meeting , Keith fills up his car. He like the idea of using gasoline with ethanol , but think his car only handle 40% ethanol. At the gas station , he can use regular gas with 10% ethanol or E85 fuel with 85% ethanol. How many gallons of each type of fuel should Keith use if he wants to fill up his car with 10 gallons of fuel containing 40% ethanol ?
ANSWER:
6 gallons regular gas with 10% ethanol and 4 gallons E85 fuel with 85% ethanol
STEP-BY-STEP EXPLANATION:
In this case, we must test with values for each fuel class to arrive at the correct answer.
For example, 6 gallons of 10% ethanol and 4 gallons of 85% ethanol:
[tex]\begin{gathered} 10\text{\% of 6 =}\frac{10}{100}\cdot6=0.6\text{ gallons of ethanol in it} \\ 85\text{\% of 4 =}\frac{85}{100}\cdot4=3.4\text{ gallons of ethanol in it} \\ \text{ Total ethanol in 10 gallons is 0.6 + 3.4 = 4 gallons }\rightarrow\text{ 4 gallons is 40\% of 10} \\ \text{Therefore, we have 10 gallons of fuel containing 40\% ethanol } \end{gathered}[/tex]
The sum of a number and -2 is no more than 6.
Answer: 8
Step-by-step explanation: if you add -2 and 8 you get 6. :) pls give me brainliest
What is the total area patty can reach? What is the total grazing area?
as patty can not reach the square, we have that she can reach 3/4 parts of a circle with radius equal to 12 feet. Therefore the area she can reach is :
[tex]A_p=\frac{3}{4}\pi\cdot r^2=\frac{3}{4}\pi\cdot144=108\pi\approx339.3[/tex]and the gazzing area is the area of the square so we get:
[tex]A_g=12^2=144[/tex]Find the x and y intercept then use them to graph the line
The x-intercept = (7, 0)
The y-intercept = (0, -3.5)
Explanation:The given equation is:
-2x + 4y = -14
Find the x-intercept by setting y = 0
-2x + 4(0) = -14
-2x + 0 = -14
-2x = -14
x = -14/-2
x = 7
Therefore, the x-intercept = (7, 0)
Find the y-intercept by setting x = 0
-2(0) + 4y = -14
0 + 4y = -14
4y = -14
y = -14/4
y = -3.5
Therefore, the y-intercept = (0, -3.5)
Considering the x and y-intercepts, the graph is plotted
the total amounts of rainfall at various points And time during a thunderstorm are shown in the table. time(hours) 0.4 | 1.1 | 2.9 | 3.2 | 3.7 | 4.4Rainfall(cm) 0.3 | 0.6 | 1.8 | 2.0 | 2.2 | 2.6According to a regression calculator, what is the equation of the line of best fit for the data?answers: a y= 0.06x+0.03 | b y= 0.06x+0.29 | c y=0.59x+0.03 | d y= 0.59x+0.29Please help!
Data: x y 4 1 5 2 6 3 7 4 y = x - ?
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
x y
4 1
5 2
6 3
7 4
y = x - ?
Step 02:
equation of the line:
y = x - ?
y = mx + b
m = slope = 1
point ( 4 , 1)
Point-slope form of the line
(y - y1) = m (x - x1)
(y - 1) = 1 (x - 4)
y - 1 = x - 4
y = x - 4 + 1
y = x - 3
The answer is:
y = x - 3