Find the slope of a line through the given points.
(3-7), (5,5)

Answer:

Kylie has 6 Nickels and 18 dimes

Step-by-step explanation:

Variable definitions:

x=the number of nickels

y=the number of dimes

One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y equals $2.10:

0.05x + 0.10y = 2.10

Since she has a total of 24 coins, we know x+y must equal 24.

x + y = 24

Write System of Equations:

0.05x + 0.10y = 2.10

x + y =  24

Solve for y in each equation:

0.05x + 0.10y= 2.10         x + y = 24

0.10y = 0.05x + 2.10         y = -x + 24

0.10y = -0.05x + 2.10

0.10                0.10                

  y = -1/2x + 21

The x variable represents the number of nickels and the y variable represents the number of dimes. Since the lines intersect at the point (6,18) we can say:

Kylie has 6 Nickels and 18 dimes

We want to solve a system of equations to see how many nickels and dimes Kyle has. We will see that she has 6 nickels and 18 dimes.

First, let's define the variables, we will use:

We know that there are 24 coins, then:

x + y = 24

We know that the total whort of the coins is $2.10, then:

x*$0.05 + y*$0.10 = $2.10

Then the system of equations is:

x + y = 24

x*$0.05 + y*$0.10 = $2.10

Here we need to graph both equations and find where they do intercept, the graph of the system can be seen below:

We can see that the intersection is at the point (6, 18)

So this means that she has:

6 nickels and 18 dimes.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

You need to find the equations for each scenario and set them = to each other

Step-by-step explanation:

A) S = 5t + 5

B) S = 7t + 2

Now set them = and solve for t

5t + 5 = 7t + 2

3 = 2t

t = 3/2 of an hr

To check plug in 3/2 into both equations and you should get same answer.

Hope this helps and never stop striving to learn more!

Answer: x = [tex]\frac{-z - 7}{y}[/tex]

Step-by-step explanation:

Flip the equation

xy + z = −7

Add -z to both sides

xy + z + −z = − 7 + −z

xy = −z − 7

Divide both sides by y

[tex]\frac{xy}{y}[/tex] = [tex]\frac{-z - 7}{y}[/tex]

x = [tex]\frac{-z - 7}{y}[/tex]

x = [tex]\frac{-z - 7}{y}[/tex]

Answer:

Diameter of the ball = 8 inches

Radius of the ball (r) = diameter ÷ 2 = 8 ÷ 2 = 4 inches

π = 3.14

Surface area of the ball (A) is the same as the surface area for a sphere = 4 π r² = 4 × 3.14 × 4² = 200.96 inches²

Step-by-step explanation:

hi nice to meet you

Using the formula of volume of sphere, the volume of the rubber ball is 14[tex]inches^{3}[/tex] approximately.

The volume of sphere is the amount of space occupied, within the sphere.

Diameter of sphere = 3 inches

Radius of sphere = 3/2 = 1.5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] = [tex]\frac{4}{3}*\frac{22}{7}*1.5^{3}[/tex] = 14.13 [tex]inches^{3}[/tex]

Learn more about volume of sphere here

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Answer:

p = 45 - 2.5f

Step-by-step explanation:

5f + 2p = 90

just manipulate the equation, treat it like a regular algebra equation and solve for p by inverse operations and simplifying

5f + 2p = 90

-5f           -5f

2p = 90 - 5f

/2       /2

p = [tex]\frac{90 -5f}{2}[/tex]

p = 45 - 2.5f

Answer:

$6.39/3=x

x=2.13

Each sister will earn 2 dollars and 13 cents.

Step-by-step explanation:

Answer:

2.30139104 US dollar

i think

Step-by-step explanation:

Answer:

2x + 8 = y

or

2y = x + 8

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

10x10=6x6 + 8x8

100= 36 + 64

Pythagoras theorem

Answer:

The lawn care is the most sucsessful.The most money is earned and the uh House shelter or whatever is in the middle and the dog thing is the least sucsesful with the money.

For the second,i dont get it.

The lawn care is wealthy BUT never judge a book by its cover so the lawn care (lc)may be dirty,smelly,uncivilized,or just no privacey.

Answer: 4 is the correct answer

Step-by-step explanation:

12x+5=4x+37

12x-4x=37-5

8x=32

x=32/8

x=4

Answer:

x = 4

Step-by-step explanation:

First you look at the two values of the equation, so the difference between the difference of the two variables is 32, ( 37 - 5 ) then we know that ( 12x - 4x ) 8x . So we know that 8x equals to 32, so ( 32/8 ) equals to x = 4.

Answer:

C the First page

Step-by-step explanation:

1) you input the 2 into the T So the equation would look like this

15+2.5*(times) 2

2) I'm not sure for the second

3) A because you are using the number given then multiplying.

1.58* times 5 = 7.5

But the starting number would be 1.5 sense that's  the first number given

No one report me please.

Answer:

x+27

Step-by-step explanation:

7(x+3)-3(2x-2)=

(distribute)

7x+21-6x+6=

(combine like terms)

x+27

Answer:

it is C

Step-by-step explanation:

it is reflected so the angles and the sides stay the same.

The statement best describes the relationship between the two figures is: figure JKL is similar to figure J'K'L'.

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

As per the given figure,

In triangles ΔJKLand ΔJ'K'L',

side JK = side J'K'

side KL= side K'L'

side JL = side J'L'

According to Side-Side-Side criterion, two triangles are similar if three sides of a triangle are equal to the corresponding sides of the other triangle.

Thus, ΔJKLand ΔJ'K'L' are similar triangles due to equal pairs of corresponding sides.

Learn more about similar triangles here:

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Answer:

in 234,230 feet there are 44.36 miles

Answer:

It looks like you can keep the same nad just add the exponents

Step-by-step explanation:

plzz mark brainliest

Answer:

6 (for the "cody's bike" one)

Step-by-step explanation:

48-18=30

30/5-6

hope this helped! =)

Answer:

I think x  2  +3x−5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The median is the number in the middle. So first we order these numbers up which is:

2  15  16  23  24  25  25  26  34

Next we see in the middle we have 24, since there is four numbers on either side.

Answer:

hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else

Answer:

b is 0

Step-by-step explanation:

yes, i am here :)

Answer:

Equation: y = [tex]\frac{1}{2}x[/tex]

m = [tex]\frac{1}{2\\}[/tex]

b = 0

Type of Slope = Positive linear slope

We are here for you m8.

Answer:

6.14 is Rational only

Answer: 9, 18, 21, and 23 respectively

Step-by-step explanation:

To solve any problem like this, you want to assign a variable to each child because you dont know their age. So lets write an equation and assign variables to these children.

r = first child (youngest)

x = second child

y = third child

z = fourth child (oldest)

We know that r + x + y + z = 71

We also are given info on the comparisons of their ages.

r = r

x = 2r (2 times the youngest)

y = 12 + r (12 more than the youngest)

z = 3r - 4 (4 less than 3 times the youngest)

That was the easy part tbh, now we have to solve for 'r'. We can see that all the ages are a function of the same variable (r), and we know the sum of them is equal to 71. So lets solve for r and then plug that r value into each equation we just derived.

Child #1 (youngest)

[tex]r+2r+(12+r)+(3r-4)=71\\3r+12+r+3r-4=71\\7r+12-4=71\\7r+8=71\\7r=63\\r=9yrs[/tex]

Child #2

[tex]x=2*9=18yrs[/tex]

Child #3

[tex]y=12+r=12+9=21yrs[/tex]

Child #4 (oldest)

[tex]z=3r-4=(3*9)-4=27-4=23yrs[/tex]

Fact Check:

[tex]9+18+21+23=71[/tex]

Answer:

we I would need to see the triangles, but yes. Both triangles can have that same the same angles or the same side lengths.

Answer:

d. x = 1/3 (5y - 2)

Step-by-step explanation:

5y = 3x + 2 (subtract 5y and 3x on both sides)

-3x = -5y + 2 (divide by -3 or multiply by 1/3)

x = 1/3 (5y - 2)