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icang [17]
2 years ago
6

Solve the Equations

Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

Answer:

1) -2.13

2) 2.57

3) 33

Step-by-step explanation:

1)

3(8 + 5h) = -28  Distribute the 3

24 + 15h = -28  Subtract 24 from both sides of the equation

15h = -32  Divide both sides by 15 and round

h = - 2.13

2)

19 = 7(3n - 5)  Distribute the 7

19 = 21n - 35  Add 35 to both sides of the equation

54 = 21n  Divide both sides of the equation by 21

2.57 = n

3)

6s - 7s = -33  Combine the s's

-s = -33  Multiply both sides by -1

s = 33

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There are 22 fourths in 5 1/2
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4 years ago
In a recent survey of monetary donations made by college graduates, the following information was obtained: 91 graduates had don
vodka [1.7K]

Answer: a) 11.26% and b) 50.23%

Step-by-step explanation:

Number of graduates donated to a political campaign n(A) = 91

Number of graduates donated to assist medical research n(B) = 76

Number of graduated to help preserve the environment n(C) = 131

Number of graduated donated to all n(A∩B∩C) = 27

Number of graduates donated to none = 24

Number of graduated donated to political campaign and to medical research n(A∩B) = 32

Number of graduates donated to medical research and to preserve the environment n(B∩C) = 48

Number of graduates  donated to a political campaign and to preserve the environment n(C∩A) = 56

Now,

n(U)=n(A)+n(B)+n(C)-n(A∩B)-n(B∩C) -n(C∩A)+n(A∩B∩C)+n(none)

n(U)=91+76+131-32-48-56+27+24=213

So, What percent of the college graduates donated to none of the three listed causes?

Percentage would be

\dfrac{24}{213}\times 100\\\\=11.26\%

(b) What percent of the college graduates donated to exactly one of the three listed causes?

Exactly one = 91+76+131-2(32-56-48)+3(27)=107

Percentage would be

\dfrac{107}{213}\times 100\\\\=50.23\%

Hence, a) 11.26% and b) 50.23%

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4 years ago
A landscape worker cares for 42 lawns in a 6-day work week. express his daily work unit rate.
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Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve= 10/8 = n/10 <br> Write your answer as an improper fraction in simplest form.
vekshin1
<h2>Answer:</h2>

n=\frac{25}{2}.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

\frac{10}{8} =\frac{n}{10}

<h3>2. Solve the equation for n.</h3>

\frac{10}{8} =\frac{n}{10}

10*(\frac{10}{8}) =(\frac{n}{10})*10 ----> Multiply both sides by 10.

10*(\frac{10}{8}) =n----> Simplify.

\frac{10*10}{8} =n----> Solve the fraction product.

\frac{100}{8} =n----> Simplify.

\frac{100/4}{8/4} =n----> Simplify by dividing the numerator and denominator by the       same number.

\frac{25}{2} =n----> Simplify.

n=\frac{25}{2}----> Reorganize.

.

<h3>3. Express your result.</h3>

n=\frac{25}{2}.

<em>Note. </em><em>Check the attched image to see the manual solution of the equation. We took the same steps I explained previously in the manual solution.</em>

3 0
2 years ago
Help please I’m stuck on this problem
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120 km / 2km = 60

60*0.5 = 30 cm
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4 years ago
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