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3 years ago

11

Two equations are shown: Equation 1: 3 4 (x−12)=12 Equation 2: 3 4 y−12=12 Solve each equation. Then, enter a number in each box

to make this statement true.

2 answers:

mamaluj [8]3 years ago

7 0

Answer:

x = 28

y = 32

Step-by-step explanation:

tigry1 [53]3 years ago

3 0

X=28
y=32

your welcome;)

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A hot dog costs $1 at the ballpark. Which equation shows the total cost, C, of n hot dogs?

pochemuha

C=1n is the answer because the cost of hotdogs equals the price times the number of hotdogs

5 0

2 years ago

Read 2 more answers

Factor out the GCF -2x^2 - 4x - 6

andrew-mc [135]

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

<h3>What is Greatest Common Factor?</h3>

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

-2(x^2-3x)+(x-3)

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is

Learn more about Greatest Common factor on:brainly.com/question/219464

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3 0

1 year ago

the total entry price of the top of the Eiffel Tower during the low season of 95 Euros for 4 students and five teachers the tota

tamaranim1 [39]

Answer:

74.30

Step-by-step explanation:

Let s = entry price for a student

Let t = entry price for a teacher

4s +5t = 95

6s+10t = 173

I will use elimination to solve this problem.

Multiply the first equation by -2

-2(4s +5t) = -2*95

Distribute

-8s - 10t = -190

Add this equation to the second equation to eliminate t

-8s - 10t = -190

6s+10t = 173

----------------------

-2s = -17

Divide by -2

-2s/-2 = -17/-2

s = 8.50

Now we need to find t

4s +5t = 95

Substitute s=8.50

4(8.50) +5(t) = 95

34 +5t = 95

Subtract 34 from each side

34-34 +5t = 95-34

5t = 61

Divide by 5

5t/5 = 61/5

t = 12.20

We want to find the cost for 3 students and 4 teachers

3s+4t

3(8.50) + 4(12.20)

25.50 + 48.80

74.30

6 0

3 years ago

How to find the slope of the line passing through the pairs of points and describe the line as rising,falling,horizontal or vert

jonny [76]

Falling because the slope is: -5/4

3 0

3 years ago

What is the most precise name for a quadrilateral with the following vertices:

lozanna [386]

Answer:

The most precise name for a quadrilateral ABCD is a parallelogram

Step-by-step explanation:

we have

A(2,3) B(7,2) C(6,-1) D(1,0)

Plot the quadrilateral'

using a graphing tool

The quadrilateral ABCD in the attached figure

Verify the length of the sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find distance AB

A(2,3) B(7,2)

substitute

$d=\sqrt{(2-3)^{2}+(7-2)^{2}}$

$d=\sqrt{(-1)^{2}+(5)^{2}}$

$d_A_B=\sqrt{26}\ units$

step 2

Find distance BC

B(7,2) C(6,-1)

substitute

$d=\sqrt{(-1-2)^{2}+(6-7)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_B_C=\sqrt{10}\ units$

step 3

Find distance CD

C(6,-1) D(1,0)

substitute

$d=\sqrt{(0+1)^{2}+(1-6)^{2}}$

$d=\sqrt{(1)^{2}+(-5)^{2}}$

$d_C_D=\sqrt{26}\ units$

step 4

Find distance AD

A(2,3) D(1,0)

substitute

$d=\sqrt{(0-3)^{2}+(1-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-1)^{2}}$

$d_A_D=\sqrt{10}\ units$

step 5

Compare the length sides

AB=CD

BC=AD

Opposite sides are congruent

<em>Verify the slope of the sides</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find slope AB

A(2,3) B(7,2)

substitute

$m=\frac{2-3}{7-2}$

$m=\frac{-1}{5}$

$m_A_B=-\frac{1}{5}$

step 2

Find slope BC

B(7,2) C(6,-1)

substitute

$m=\frac{-1-2}{6-7}$

$m=\frac{-3}{-1}$

$m_B_C=3$

step 3

Find slope CD

C(6,-1) D(1,0)

substitute

$m=\frac{0+1}{1-6}$

$m=\frac{1}{-5}$

$m_C_D=-\frac{1}{5}$

step 4

Find slope AD

A(2,3) D(1,0)

substitute

$m=\frac{0-3}{1-2}$

$m=\frac{-3}{-1}$

$m_A_D=3$

step 5

Compare the slopes

$m_A_B=m_C_D$

$m_B_C=m_A_D$

The slope of the opposite sides are equal, that means, opposite sides are parallel

The slopes of consecutive sides are not opposite reciprocal, that means, consecutive sides are not perpendicular

therefore

The most precise name for a quadrilateral ABCD is a parallelogram

8 0

3 years ago