MATHEMATICS HIGH SCHOOL

2k + 5 — 7k = 8 + 3

I need someone to help me out with this one please.

Answers

Answer 1

Answer: 2k + 5 - 7k = 8+3
-5k + 5 = 11
-5k = 6
k= -6/5

Answer 2

Answer:

Answer:

-1.2

Step-by-step explanation:

2k+5-7k=8+3

2k-7k+5=11

-5k=11-5

-5k=6

-5k/5=6/5

k=-1.2

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You have a long-distance calling card with a remaining balance of $12.00. It costs $4.25 for the first 5 minutes and then an additional $0.40 for each additional minute. How many minutes do you have remaining on the card? Round your answer to the nearest whole number. A. 10 B. 16 C. 22 D. 17 E. 24

Answers

Final answer:

After subtracting the initial 5-minute cost from the total balance and dividing by the cost of additional minutes, you would have about 24 minutes remaining on your long-distance calling card when rounding to the nearest whole number.

Explanation:

To solve how many minutes you have remaining on your long-distance calling card, you'll first need to subtract the cost of the first 5-minute period from your total balance, which gives you $12.00 - $4.25 = $7.75.

Next, you would divide this amount by the cost of each additional minute which is $0.40. This calculation ( $7.75 / $0.40 ) results in a total of approximately 19.375 minutes.

Therefore, since you already have 5 minutes from the initial payment, you would add these two values together (5 + 19 = 24 minutes). But, according to the task you need to round your answer to the nearest whole number. As such, you can say you have approximately 24 minutes left on your card.

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Final answer:

To determine the number of minutes remaining on the calling card, subtract the cost of the first 5 minutes from the remaining balance and divide by the additional cost per minute. You have approximately 19 minutes remaining on the calling card.

Explanation:

To determine the number of minutes remaining on the calling card, we need to subtract the cost of the first 5 minutes from the remaining balance and then divide the result by the additional cost per minute.

Subtract the cost of the first 5 minutes ($4.25) from the remaining balance ($12.00): $12.00 - $4.25 = $7.75.
Divide the result by the additional cost per minute ($0.40): $7.75 ÷ $0.40 ≈ 19.38 minutes.
Round the result to the nearest whole number: 19.38 ≈ 19 minutes.

Therefore, you have approximately 19 minutes remaining on the calling card.

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Solve for x: 25x2 − 36 = 0

Answers

$25x^2-36 = 0 \n\n(5x)^2-6^2=0\n \n(5x-6)(5x+6)=0\n \n5x-6=0 \ \ or \ \ 5x+6=0\n \n5x=6 \ \ or \ \ x=-6\n \nx=(6)/(5) \ \ or \ \ x=-(6)/(5) \n \n \n a^2-b^2 =(a-b)(a+b)$

$25x^2-36=0$

$25x^2=36$

$x^2=(36)/(25)$

$x=\sqrt{(36)/(25)}$ $or$ $x=-\sqrt{(36)/(25)}$

$x=(√(36))/(√(25))$ $or$ $x=-(√(36))/(√(25))$

$x=(6)/(5)$ or $x=-(6)/(5)$

$x=1(1)/(5)$ or $x=-1(1)/(5)$

Which of the following statements is INCORRECT?A. A triangle with three congruent sides is equiangular.
B. The Isosceles Triangle Theorem can be applied to equilateral triangles.
C. The measure of each angle of an equilateral triangle is 120°.
D. A triangle with three congruent angles is equilateral.

Answers

Answer:

Step-by-step explanation:

The measure of each angle in an equilateral triangle is $60^(\circ)$ , not $120^(\circ)$ .

A student raises her grade average from a 75 to a 90. What was the percent of increase in the student’s grade average? Round your answer to the nearest tenth of a percent, if necessary.

Answers

=(new-old)/old *100%
=(90-75)/75 *100%
=20%
hope it helps

Work out: 27^-(1/3).

Answers

Click on the pic for answer:

Which type of interest rate reflects the effects of compounding?

Answers

It is called effective interest rate.

For example, you invest in a bond wich pays 5% annual interest rate and it compounds semiannually.

The first semester you win 2.5% over the capital invested and in the second semester you win 2.5% over the capital plus the interested earned in the first semester. Then the effecive interest rate is higher than 5%.

Answer: For connections academy it’s APY

Step-by-step explanation:

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