Alex graphed two lines in order to find the
solution to a given system of equations.
What is the solution?

Answer:

Lara started with the number 15.

Step-by-step explanation:

In order to solve this problem, you can write an equation representing the situation. You can do this by applying the described actions to a variable; I'll use n for this:

(n ÷ 2 + 6) ÷ 3 = 4.5

Now, you can just solve this equation for n:

(n ÷ 2 + 6) ÷ 3 = 4.5 (given)

n ÷ 2 + 6 = 13.5 (multiply both sides by 3)

n ÷ 2 = 7.5 (subtract 6 from both sides)

n = 15 (multiply both sides by 2)

So, now you know that Lara's starting number was 15.

Answer:

area = πr^2

so π x 18^2 = 324π

Answer:

answer is selling price=$1411

Step-by-step explanation:

discount percentage=100%-15%=85%

Answer:

-19/5

Step-by-step explanation:

3-7+2/5-1/5

⇒-4+1/5

⇒-20+1/5

answer⇒-19/5

hope it helps

Answer:

(4, 8) where =(x, y)

Step-by-step explanation:

x + 4(-x + 12) = 36

x -4x + 48 = 36

-3x = -12

x = 4

4 + 4y = 36

4y = 32

y = 8

Answer:

the equation should be c=768/s or c s=768.

Step-by-step explanation:

This situation involves inverse variation, so the equation will either take the form c=6/3 or the form cs=k.

To write a general equation for this situation, find the value of k. Use the form cs=k and the point (128,6) since the container can fill 128 cups holding 6 ounces each.

cs=k

(128)x(6)=k

768=k

Using 768 for k, the general equation is c=768/s or cs=768.

The equation for the number of cups for a specific size can be written as c = 768/x.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The amount of drinks carried by each cup is 6 ounces.

And, the total number of cups are 128.

Then,the total amount of drink is 128 × 6 = 768 ounces.

Suppose the number of cups be c.

And, the size of each cup be x.

The following equation can be written for the number of cups as,

c = 768/x

Hence, the equation that describes the number of cups for the given case is c = 768/x.

To know more about Linear equation click on,

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Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Answer:

h= 2/3d

Step-by-step explanation:

slope is the change of y value on the change of x value

4/6 = 2/3

Answer:

adjacent

Step-by-step explanation:

It is the leg that touches the 18 degree angle

Answer:

The answer is 41 because there a prime numbers and even numbers on a sequence

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

Answer:

Step-by-step explanation:

Polygon is regular when all angles are congruent and all sides are congruent.

So, the given polygon is square.

Answer:

Major Arc

Step-by-step explanation:

because it's bigger then half of the circle

Answer:

it's probably a major arc because it is bigger than half of a circle

The circle has center O. Its radius is 6 cm, and the central angle measures 40. What is the area of the shaded region? Give the exact answer in terms of π, and be sure to include the correct unit in your answer.

Answer:

= 4π

Step-by-step explanation:

Area of the shaded region

Sector area = (central angle)/360° x area of circle

= (central angle)/360° x πr²

= 40°/360° x π6²

= 1/9 x 36π

= 36π/9

= 4π

Answer:

7

Step-by-step explanation:

because 5 times 7 = 35 so you have to divide 49 and 7 and you get 7, and 7 times 7 is 49, so it makes sense

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

Answer:

1/5

Step-by-step explanation:

34c-14c+3=7

20c+3=7

20c=4

c = 1/5

Answer:

c

Step-by-step explanation:

bc

Answer:

Step-by-step explanation:

(16x³)^(¼) = (2⁴⋅x³)^(¼)

= (2⁴)^(¼)⋅(x³)^(¼)

= 2⋅(x^(¼))³

= 2⋅(∜x³)

= 2∜x³

Answer:

34°

Step-by-step explanation:

So both angles marked are equal, I think according to some rule in math, but yea, so if one is 34° then the other one is also 34°

Answer:

P = 4/7

Step-by-step explanation:

There are 5 cards with a picture of a rose and 3 cards with a picture of a daisy.

Then we have a total of 8 cards.

Now Alia turns over one card, and this card has a picture of a rose, then she removes it.

This means that now there are 4 cards with a picture of a rose and 3 cards with a picture of a daisy, so now we have a total of 7 cards.

We want to find the probability that the next turned card has also a rose on it.

This will be equal to the quotient between the number of cards with a rose on it (4 cards) and the total number of cards (7)

Then the probability is:

P = 4/7

Answer: 15 cans of sprite

Step-by-step explanation:

5 cans of coke and 3 cans of sprite

then its

25 cans of coke and 15 cans of sprite

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

Answer:

The answer is "5"

Step-by-step explanation:

Please find the complete question in the attached file.

Given values:

[tex]15 \ miles /hour\\\\10\ miles /hour[/tex]

When we calculating the difference so, it is "5" because 15 -10=5

Answer:

it is option binomial with degree 3

hope it helps

Answer:

747+9+83=839

Step-by-step explanation:

We can use 9x83=747 as a extra help to get the answer. Say you need the answer above (which I gave you) so you get 9x83 as an example to help figure out 749+9+83=839.