Jorge wants to write 4/5 as a sum of unit fractions.

Answers

Answer 1

Answer: Unit fractions are fractions whose numerators are 1 and whose denominators are positive integers.

4/5 written as a sum of unit fractions is:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

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What is fifty two percent of seventy nine

Answers

Answer: 41.08

Step-by-step explanation:

The value in cents of 4 quarters and x dimes is

Answers

To add numbers, their units should be the same. We need first to convert the quarters and dimes into cents.
4 quarters is equal to 100 cents, while a dime is equal to 10 cents.
In formula, the answer would be 100+10x. ( x refers to the number of dimes)

Find cos theta if csc theta = square root 5

Answers

Answer:

cos theta = adjacent/hypotenuse = $(2)/(√(5) )$

Step-by-step explanation:

csc theta = hypotenuse/opposite = $√(5)$ /1 (reciprocal identity)

1^2 + b^2 = $√(5)$ ^2 (pythagorean theorem)

b^2 = 5-1

b = 2

cos theta = adjacent/hypotenuse = 2/ $√(5)$ (quotient identity)

3. Kendall is going to a store that sells abottle of iced tea for $1.99 and a pack of
six bottles for $9.65. Kendall buys five
bottles of iced tea. Is Kendall being
financially responsible or financially irresponsible? Explain.

Answers

Answer: financially irresponsible

Step-by-step explanation:

Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents

After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

Answers

These are the choice given. I'll just substitute x with 1 and 2 to see if the amount corresponds to the given amount.
A.    y = 7591.96(1.02)x
y = 7,591.96(1.02)¹ = 7,743.80
  y = 7,591.96(1.02)² = 7,898.68

B.    y = 7591.96(0.02)x
y = 7,591.96(0.02)¹ = 151.84
y =7,591.96(0.02)² = 3.04

C.    y = 7595(1.02)x THIS IS THE CORRECT EQUATION.
y = 7,595(1.02)¹ = 7,746.90
y = 7,595(1.02)² = 7,901.84

D.    y = 7595(0.02)x

Can you solve y=2x-5 and 4x-y=7 with steps?

Answers

$y=2x-5 \n4x-y=7 \n \n\hbox{substitute 2x-5 for y in the 2nd equation and solve for x:} \n4x-(2x-5)=7 \n4x-2x+5=7 \n2x+5=7 \n2x=7-5 \n2x=2 \nx=(2)/(2) \nx=1 \n \n\hbox{substitute 1 for x in the 1st equation:} \ny=2 * 1-5=2-5=-3 \n \n\hbox{the answer:} \nx=1 \n y=-3$

This is straight forward:
You have already said: y = 2x - 5 ...........(i)
   4x - y = 7............(ii)
So anywhere we see, y in equation (ii) we replace it with (2x - 5).
      4x - (2x - 5) = 7
   4x - 2x + 5 = 7
Note minus sign before the bracket, changes sign inside the bracket.
      2x + 5 = 7
      2x = 7 - 5.
      2x = 2 Divide both sides by 2.
      x = 2/2
      x =1.
Remember from (i) y = 2x - 5, y = 2*1 - 5 = 2-5 = -3.
Therefore, x = 1, y = -3.
Those are the steps.

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