1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Given:

One linear function represented by the table.

Another linear function represented by the graph.

To find:

The greater unit rate and greater y-intercept.

Solution:

Formula for slope (unit rate):

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.

[tex]m_1=\dfrac{15-5}{5-0}[/tex]

[tex]m_1=\dfrac{10}{5}[/tex]

[tex]m_1=2[/tex]

So, the unit rate of first function is 2.

From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.

[tex]m_2=\dfrac{0-6}{-4-0}[/tex]

[tex]m_2=\dfrac{-6}{-4}[/tex]

[tex]m_2=\dfrac{3}{2}[/tex]

So, the unit rate of first function is [tex]\dfrac{3}{2}[/tex].

Now,

[tex]2>\dfrac{3}{2}[/tex]

[tex]m_1>m_2[/tex]

And,

[tex]15>6[/tex]

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.

Answer:

The greater unit rate of the two functions is 2.

The greater y-intercept of the two functions is 6.

Step-by-step explanation:

yay!

Answer:

m=6

Step-by-step explanation:

Subtract 8 from both sides.

then divide both sides by 3 to get 6.

Hope this helps!

Answer:

x=7

Step-by-step explanation:

2x=20-6

2x=14

x=14/2

x=7

Answer:

0.043

Step-by-step explanation:

0.0 is tenths

0.00 is 100ths

Answer:

pi×diamiter = circumference

pi÷circumference = diamiter

3.14159265358979 (pi) ÷ 16

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

a4=4

3b=2 x 3=6

2c=2 x 3=6

Answer:

48

Step-by-step explanation:

We just need to put in the values of a and b.

4a3b² = 4(1) × 3(2)²

          = 4 × 3(4)

          = 4 × 12

          = 48

Answer:

2

Step-by-step explanation:

|-8| + (-6)

8 - 6

2

Best of Luck!

Answer:

(2)(9) + 75 = 75+18

Step-by-step explanation:

(2)(9) + 75 = 75+18

The expression written as a product of a number and another sum is 3(25 + 8)

Given the expression 75 + 18, we are to write as a product of a number and another sum.

First we need to find the GCF of 75 and 18

75 = 3 * 25

18 = 3 * 6

Since 3 is common to both D+GCF, we can factor it out from the expression to have:

75 + 18 = 3(25 + 8)

Hence the expression written as a product of a number and another sum is 3(25 + 8)

Learn more here: https://brainly.com/question/219464

Answer: 0.2

Step-by-step explanation:

Answer:

7inches

Step-by-step explanation:

Given the conversion rate expressed as:

1 in = 7ft

We are to find the equivalent with of  49ft in inches.

x in = 49ft

Divide both equations:

1/x = 7/49

Cross multiply;

7*x = 1*49

7x = 49

x = 49/7

x = 7

Hence the correct answer is 7inches

​

Answer:

7 inches

Step-by-step explanation:

(divide 49 by 7) 7 feet go into 49 feet 7 times. If there are 7 groups of 7 feet, and every 7 feet is one inch, then 7 inches is the width of the drawing.

Answer:

Step-by-step explanation:

8.3÷0.25

Multiply that by 30 and you get 996

The actual distance between the two cities will be 996 miles.

Distance is defined as the product of speed and time.

Scale is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

The given scale is 0.25 inches on the map representing 30 miles.

If the distance between two cities is 8.3 inches

As per the given scale, the actual distance between the two cities will be as:

⇒ 8.3 × 30/0.25

⇒ 83/10 × 3000/25

⇒ 249,000/250

Apply the division operation, and we get

⇒ 996 miles

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

The question seems to be incomplete the correct question would be:

On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches. find the actual distance between two cities?

Answer:

12/25

Step-by-step explanation:

so he walked 12 days so that would be 12 and there was 25 days of feburary so its 25.

Answer - 12/25

Answer:

Yes that formula is right, and the y- intercept is where the line intersects with the y- axis on the graph.

Answer:

The Median of all these numbers is $32.55

Step-by-step explanation:

Answer:

answer is d

Step-by-step explanation:

I will se anywhere

Answer:

the answer is:

4 - 4x+ 2x = -3x -3

4 - 2x = -3x -3

4 + 3 = -3x +2x

7 = -x

x = (-7)

Answer: -7

Step-by-step explanation:

4(1 – x) + 2 x = –3( x + 1)

Simplify the parentheses

4 - 4x + 2x = -3x - 3

Combine like terms

4 - 2x = -3x - 3

Subtract like terms on each side of the equal sign to isolate variable

x=-7

Answer:

3

Step-by-step explanation:

there is a 3 times difference in the first image and its the same just smaller

Answer:

Multiplying 10 by t will not work under most circumstances so it would be 10t which means 10*t but if you substitute the t for lets say 4 then you would get 40 but that wasn’t the question so your answer is 10t

Answer: The y intercept is 1.

Step-by-step explanation: Sorry I could only answer the one about the y-intercept. So basically finding the y intercept is where the line crosses at the y-axis. So in this case the y-intercept is 1 because thats the point the line crosses at the y-axis. I hope this clarifies your question and I hope this helps. Good Luck on your upcoming test if you have one soon!

Answer:

0.81

Step-by-step explanation:

MAKE ME BRAINLIEST PLEASEE <333

Answer:

0.81

Step-by-step explanation:

the answer is 0.81

0.9×0.9=0.81

Answer:

its d thats the right anwsers

Step-by-step explanation:

Answer: A

i had looked up another question on my quiz thing and an old staar test popped up and this was one of the questions with the answer, i also had this question on my quiz.

Answer:

y = 3/x

Step-by-step explanation:

Answer:

y=mx+b

m=slope

b=y intercept

the answer is -1

Steps:

See attachment.

Description:

The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.

For more steps and graph see the attachment.

Answer: 1/12 x + 1/3

Hope this helps.

Answer:

Step-by-step explanation:

to find x we can use tangent function

tan 31= x/9

0.60=x/9

x=0.60*9=5.4 choice B

The measure of x side.

We have given a right angle triangle whose angle A=31 degrees and two sides that is x and 9.

We have to determine the value of x.

Therefore we use here the trigonometric ratio

[tex]tan\theta=\frac{opposite side}{adjacent side}[/tex]

Therefore we get

tan 31= x/9

tan(31)=0.60

0.60=x/9

Isolate the x

x=0.60*9

x=5.4

Therefore option B is correct.

To learn more about the trigonometric ratio visit:

https://brainly.com/question/24349828

Answer:

432/120 or 18/5 or 3 3/5

Step-by-step explanation:

Once you multiply all the fractions, you get 432/120

Then you simplify to the furthest