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professor190 [17]
3 years ago
11

A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

Mathematics
2 answers:
sleet_krkn [62]3 years ago
8 0
<span>A. Given the equation 4x + 7 = 3(2x − 5), solve for the variable. 
</span>4x + 7 = 3(2x − 5)
<span>4x + 7 = 6x - 15 (distributive property of multiplication)
4x - 6x = -15 - 7 (transitive property)
-2x = -22
x = 11

B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
7x − 1 = 8
7x = 7
x = 1

Sam's solution is incorrect, this is the correct solution
</span>5x − 1 = 2(x + 4)
5x − 1 = 2x + 8
5x − 2x = 8 + 1
3x = 9
x = 3
Tju [1.3M]3 years ago
3 0
I hope this helps you




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∠3 and ∠6 can be classified as:
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Answer:

Alternate Interior Angles

Step-by-step explanation:

Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.

Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.

Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.

Therefore, we are left with Alternate Interior Angles.

6 0
3 years ago
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Find 50% of 36:<br> Find 25% of 36:<br> Find 75% of 36:
HACTEHA [7]

Answer:

18, 9, 27

Step-by-step explanation:

36 ÷ 2 = 18. Dividing by 2 is the same as multiplying by 50%.

36 ÷ 4 = 9. Dividing by 4 is the same as multiplying by 25%.

Since 25% • 3 = 75%, you can do 9 (from previous) • 3 to get 27.

5 0
3 years ago
5. In the morning, Kevin's cat eats 1/2 of a can of cat food. In the afternoon, the cat eats 1/4 of a can of food. In the evenin
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Answer:

2 cans

Step-by-step explanation:

1/2 + 1/4 + 4/5 = 1.55

2 is the best answer since we know the cat eats more than 1 and a half cans so the closest thing would be 2 cans

5 0
2 years ago
Chandra has $36.25 in dimes and quarters If she has 250 coins in total, hwo many
vladimir2022 [97]

Answer:

175 dimes and 75 quarters

Step-by-step explanation:

Make a system of equations, where d is the number of dimes and q is the number of quarters:

d + q = 250

0.1d + 0.25q = 36.25

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1q = -25

0.1d + 0.25q = 36.25

0.15q = 11.25

q = 75

Then, plug in 75 as q into one of the equations to solve for d:

d + q = 250

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So, there are 175 dimes and 75 quarters

7 0
3 years ago
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GEOMETRY PROOFS!
yarga [219]

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

<em>Additional</em><em> comment</em><em>:</em><em>-</em>

SAS property:-

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