It is not always helpful to rewrite an equation in standard form as a first step in solving it.True/False?

Answers

Answer 1

Answer: The answer to the problem above is True. Standard form of an equation means the right side of the equation should be 0, and everything on the left side. For example, x^2 = 4 , to make this this in standard form you have to transfer number 4 to the left side of the equation making it x^2 - 4 = 0.
In this situation, if you will be asked to look for x, there is no need to make the equation in standard form, you can directly take the square root of both sides of the equation to get x.

Answer 2

Answer:

Answer:

True

Step-by-step explanation:

apex

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Solve for X.

A. 10
B. 12
C. 15
D. 22

Answers

Answer:

B. 12

Step-by-step explanation:

Since Z is midpoint of SR and Y is midpoint of QR, so as per triangle midpoint theorem ZY is parallel to SQ and measures half of its value:

SQ = 2ZY
3x - 8 = 2(x + 2)
3x - 8 = 2x + 4
3x - 2x = 4 + 8
x = 12

Correct answer choice is B

Answer:

the answer is B.12 ......

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.

Answers

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ? || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

$Ratio = (Minutes)/(Mile)$

When minutes = 16; mile = 4

So, we have:

$Ratio = (16)/(4)$

$Ratio = 4$

Next, we multiply the ratio by 7.5

$Minutes = Ratio * 7.5$

$Minutes =4 * 7.5$

$Minutes = 30$

Hence, option B answers the question.

Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 & each hamburger weighed 1/3 pound. How many of each did Vong grill?

Answers

$x-number\ of\ hamburgers\n21-x-number\ of\ turkey\ burgers\n\n(1)/(4)x=(1)/(3)(21-x)\n\n(1)/(4)x=7-(1)/(3)x\n\n(3)/(12)x+(4)/(12)x=7\n\n(7)/(12)x=7\ \ \ \ \ |\cdot(12)/(7)\n\nx=12\n\n21-12=9\n\nVong\ grilled\ 12\ hamburgers\ and\ 9\ turkey\ burgers$

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years?
A. $5,805.96
B. $6,502.34
C. $6,584.91

Answers

Amount earned in compound interest = P(1 + r)^n; where P is the principal, r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Principal amount = $3000

Rate of interest = 14%

Time period = 6 years

As we know the formula for "Compound Interest " :

$Amount=P(1+(R)/(100))^n\n\nAmount=3000(1+(14)/(100))^6\n\nAmount=3000(1+0.14)^6\n\nAmount=3000(1.14)^6\n\nAmount=3000* 2.194\n\nAmount=\$6584.91$

Hence, Option 'C' is correct.

A candy machine is filled with candy. The weight of the candy can differ from the desired 84 ounce weight by no more than 0.5 ounces. Solve the absolute value equation given in order to find the heaviest and lightest acceptable weights for the candy machine.|x – 84| = 0.5

Answers

$Formula\ for\ absolute\ value\n\n |a|=a,\ for\ a \geq 0\n or\n|a|=-a,\ for\ a<0\n\n|x-84|=0,5\n\n x-84=-0,5\ \ \ or\ \ \ \ x-84=0,5\n x=-0,5+84\ \ \ \ or \ \ \ x=0,5+84\n x=83,5\ \ \ \ \ \ \ \ \ \ \ or\ \ \ x=84,5\n\nThe\ lightes\weight\ is\ 83,5\ ounce\ and\ the\ heaviest\ is\ 84,5\ ounce.$

A pair of jeans regularly sells for $24.00. They are on sale for 25% off. What is the sale price of the jeans?

Answers

18 dollars. $24.00 * .75 = 18. Or 24 *.25 = 6, 24 - 6 = 18.

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