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OlgaM077 [116]
2 years ago
8

Thomas has earned $800 and earns $20 every week by mowing lawns. Ken has earned $600 and earns $30 every week for helping his fa

ther with household projects. in how many weeks will both Thomas and kens earnings be the same? What will the amount of earnings be? 
Mathematics
2 answers:
Greeley [361]2 years ago
7 0

Answer:

20 weeks and \$1200

Step-by-step explanation:

Let us suppose their earning will be same in x

so basis the given information,

800 + 20x = 600 + 30x

⇒800 - 600 = 30x - 20x

⇒200 = 10x

⇒x = 20

∴ earnings of Thomas and Ken will be same in 20 weeks

Amount for Thomas and Ken will be-

800 + 20(20) = 600 + 30(20)\\800 + 400 = 600 + 600 = 1200

Their earning will be \$1200

Yakvenalex [24]2 years ago
3 0
 
To solve, we subtract 20x from both sides and subtract 600 from both sides:

Then, we simplify by dividing both sides by 10:

Thomas and Ken have to work 20 weeks for their earnings to be the same
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Answer:

3 1/8

Step-by-step explanation:

1. You can add the 2 halves together making 1

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4. Convert 2 1/2 to eighths. 2 4/8

5. Finally add one 5/8.

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2 years ago
If the measure of angle BCD=51 degrees, solve for x.
BabaBlast [244]

Answer:

x=5

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

so

m\ angle BCD=m\angle BED=51^o

m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o --- > given problem

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EFD

m\ angle FED+m\ angle FDE+m\ angle EFD=180^o

substitute the given values

25.5^o+55^o+m\ angle EFD=180^o

80.5^o+m\ angle EFD=180^o

m\ angle EFD=180^o-80.5^o

m\ angle EFD=99.5^o

step 2

Find the measure of angle EFB

we know that

m\angle EFB+m\angle EFD=180^o ---> by supplementary angles

we have

m\ angle EFD=99.5^o

substitute

m\angle EFB+99.5^o=180^o

m\angle EFB=180^o-99.5^o

m\angle EFB=80.5^o

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EBF

m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o

we have

m\angle BEF=m\ angle FED=25.5^o

m\angle EFB=80.5^o

m\angle EBF=(14x+4)^o

substitute

25.5^o+80.5^o+(14x+4)^o=180^o

solve for x

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(14x+110)^o=180^o

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2 years ago
Solve: 3.6 (5x4) divided 3+5.0=
zavuch27 [327]

The value of the expression will be 9.

<em><u>Explanation</u></em>

Given expression is : \frac{3.6(5*4)}{3+5.0}

First we will simplify both numerator and denominator separately using <u>order of operations</u>. So....

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Thus the expression....

\frac{3.6(5*4)}{3+5.0}=\frac{72}{8}=9


7 0
2 years ago
Eliza’s backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her ba
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Step-by-step explanation:

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1 year ago
r Flag For Review A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to h
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Answer:

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Step-by-step explanation:

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