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nadya68 [22]
3 years ago
11

Which fraction is equivalent to 5(z+3)-4(1+p)? A. 15z-4p B. 5z+19+4p C. 5z+11-4p

Mathematics
1 answer:
Mila [183]3 years ago
8 0
C 5z+11-4p.

5(z+3)-4(1+p)
5z+15-4-4p
5z+11-4p
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the system of equations y =-3x+2 and y =1/2 x -6 is shown on the graph below. What is a reasonable estimate for the solution>
Tom [10]

Answer:

The reasonable estimate for the solution is (2.29, -4.87)

Step-by-step explanation:

The reasonable estimate for the solution is the point where the two lines intersect each other.

To get the point where they intersect, we will simply equate the system of equations given as shown:

-3x+2=\frac{1}{2}x-6\\Collect \ the \ like \ terms\\-3x-\frac{1}{2}x=-6-2\\\frac{-7x}{2}=-8\\-7x=-16\\x=\frac{16}{7}    \\x=2.29

Substitute x = 2.29 into any of the equation

Using the equation y = -3x+2

y = -3(2.29)+2

y = -6.87+2

y =-4.87

This shows that the reasonable estimate for the solution is (2.29, -4.87)

Further explanation on the similar question can be found here brainly.com/question/19713330

3 0
3 years ago
Read 2 more answers
Simplify -4(x-5) +3(a-7)
PilotLPTM [1.2K]

Answer:

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

Step-by-step explanation:

-4x + 20 +3a - 21

3a - 4x - 1

6 0
3 years ago
Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1
Leviafan [203]

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

Read more about system of linear equations at

brainly.com/question/14323743

#SPJ1

7 0
2 years ago
A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The b
givi [52]

The mass of brick is 2478 gram

<em><u>Solution:</u></em>

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

<em><u>The volume of rectangular prism is given as:</u></em>

volume = length \times width \times height

volume = 8 \times 3.5 \times 2\\\\volume = 56

Thus volume of brick is 56 cubic inches

<em><u>Convert inches to centimeter</u></em>

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of  2.7 grams per cubic centimeter

Density = 2.7 grams

<em><u>The mass of brick is given by formula:</u></em>

mass = density \times volume

<em><u>Substituting the values we get,</u></em>

mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478

Thus mass of brick is 2478 gram

7 0
3 years ago
Brooks built two similar wooden chests in the shape of rectangular prisms. She used 16 pints of paint to cover the outside of th
Anika [276]
The choices for this question is found elsewhere and as follows:

<span>A. 16/9 B. 4/3 C. 32/9 D. 64/27
</span>
From the choices, i think the correct answer from the choices listed above is option B since from the situation you are reducing the ratio. Hope this answers the question.
7 0
3 years ago
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