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4 years ago

(1 - 5q ) +2 (2.5q +8 )

Mathematics

1 answer:

VikaD [51]4 years ago

5 0

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remember
a(b+c)=ab+ac
2(2.5q+8)=2(2.5q)+2(8)=5q+16

1-5q+5q+16
1+0+16
17

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What is the answer to #3?

Rudiy27

I believe the answer is the last option choice.

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4 years ago

Please help with this question

8090 [49]

The answer is 103 it's false

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3 years ago

Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte

Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

"She has 10 more dimes than nickels"

d = n + 10

"twice as many quarters as dimes."

q = 2d

How many coins of each kind does she have?

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

.05(d-10) + .1d + .25(2d) = 15.75

.05d - .5 + .1d + .5d = 15.75

.65d - .5 = 15.75

.65d = 15.75 + .5

.65d = 16.25

d = 16.25/.65

d = 25 dimes

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0

2 years ago

In a survey of 200 professors at Gotham University, professors were asked, “Regarding your weight, do you think you are: About r

DochEvi [55]

The probability that a randomly selected professor is female and feels "About Right" is 0.40

The distribution table :

____About right _ Oweight _ Uweight __ Total

Female _ 80 _____ 39 ______ 3 _______ 122

Male ___ 52 _____ 10 ______ 16 _______ 88

Total ___ 132 ____ 49 ______ 19 _______ 200

Oweight = Overweight

Uweight = Underweight

Recall :

Probability = required outcome / Total possible outcomes

Probability that a selected professor is female and feels 'About right' :

Required outcome = number of female professors who feels 'About right' = 80

Total number of professors = 200

Hence,

P(Female and 'About right') = 80/200 = 0.40

Learn more : brainly.com/question/11234923

3 0

3 years ago

Which expression is equivalent to RootIndex 3 StartRoot 32 x Superscript 8 Baseline y Superscript 10 Baseline EndRoot?

evablogger [386]

Answer:

The equivalent expression to the given expression is $\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}$

Step-by-step explanation:

The given expression is $\sqrt[3]{32x^8y^{10}}$

To find the equivalent expression:

$\sqrt[3]{32x^8y^{10}}=(32x^8y^{10})^{\frac{1}{3}}$

We may write the above expression as below:

$=(32^{\frac{1}{3}})((x^8)^{\frac{1}{3}})((y^{10})^{\frac{1}{3}})$

$=(2)((4)^{\frac{1}{3}})(x^6)\times (x^2)(x^{\frac{2}{3}})(y^3)(y^{\frac{1}{3}})$ (using square root properties)

$=(2\sqrt[3]{4})(x^2\sqrt[3]{x^2})(y^3\sqrt[3]{y})$ (combining the like terms and doing multiplication )

$=2x^2y^3\sqrt[3]{4x^2y}$

Therefore $\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}$

Therefore the equivalent expression to the given expression is $\sqrt[3]{32x^8y^{10}}=2x^2y^3\sqrt[3]{4x^2y}$

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3 years ago

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