How do you write the expression without a fraction bar;
a to the seventh/a to the tenth

Answers

Answer 1

Answer: $((1)/(7))/((1)/(10))=(1)/(7):(1)/(10)=(1)/(7)\cdot(10)/(1)=(10)/(7)=1(3)/(7)$

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A square has sides of length s A rectangle is 6 inches shorter and 8 inches wider than the square. Express the area of the rectangle as a polynomial.
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How would I write these problems?

Answers

21) Total number of cups: 26

6) Solution of the equation: x = -12

7) Father's age: 40

4) Distance driven: 400 miles

Step-by-step explanation:

21)

Let's call:

$h=10 cm$ the height of each cup

$H=30 cm$ the total height available in the dispenser

We are told that each cup added to the stack add a height of

$\Delta h = 0.8 cm$

We can therefore solve the problem by writing the following equation:

$H=h+N\Delta h$

which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.

Solving for N:

$N=(H-h)/(\Delta h)=(30-10)/(0.8)=25$

And including the first cup, the total number of cups is

$N+1=25+1=26$

The equation that we have to solve is

$(5)/(2)x-1=-31$

We proceed as follows:

First of all, we add +1 on both sides of the equation,

$(5)/(2)x-1+1=-31+1\n(5)/(2)x=-30$

Now we multiply by 2 on both sides:

$(5)/(2)x\cdot 2=-30\cdot 2\n5x=-60$

And now we divide both sides by 5:

$(5x)/(5)=(-60)/(5)\nx=-12$

Let's call:

k = Karma's age

f = father's age

We are told that Karma is 13 years old, so

k = 13

Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write

$k=(3)/(8)f-2$

By combining the two equations,

$13=(3)/(8)f-2$

And solving for f, we find:

$(3)/(8)f=13+2\n(3)/(8)f=15\n3f=15\cdot 8 =120\nf=(120)/(3)=40$

So, the father's age is 40.

Let's call:

T = 16 the total volume of the tank (16 gallons)

We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is

$0.03 x$

This means that the amount of fuel left after x miles is

$16-0.03x$

We also know that the amount of fuel left is 4 gallons, therefore:

$16-0.03x=4\n0.03x=16-4\n0.03x=12\nx=(12)/(0.03)=400$

So, 400 miles.

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The number of pages that Allen, Kevin, Roneisha, and Ben can read in a day is shown below. Allen read 15% of his 56-page book.
Kevin read 12% of his 64-page book.
Roneisha read 16% of his 42-page book.
Ben read 10% of his 72-page book.

Who can read the greatest number of pages in a day?

Answers

Allen read the greatest number of pages in a day.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Allen read 15% of his 56-page book, therefore, the number of pages he read is:

15 % of 56

= 15 × 56 /100

= 8.4

Kevin read 12% of his 64-page book, therefore, the number of pages he read is:

12% of 64

=12 ×64/ 100

= 7.68

Roneisha read 16% of his 42-page book, therefore, the number of pages she read is:

16% of 42

= 16×42/100

= 6.72

Ben read 10% of his 72-page book, therefore, the number of pages he read is:

10 % of 72

= 10×72/100

= 7.2

Note that Allen read the greatest number of pages in a day.

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Allen : 0.15(56) = 8.4 pgs per day
Kevin : 0.12(64) = 7.68 pgs per day
Roneisha : 0.16(42) = 6.72 pgs per day
Ben : 0.10(72) = 7.2 pgs per day

Allen can read the greatest number of pages per day

Why is the answer to this C and not E. Don’t you usually keep the negative number negative? Why is this one not left negative?

Answers

Answer:

Step-by-step explanation:

Given

x² = 7x - 3 ( subtract 7x - 3 from both sides )

x² - 7x + 3 = 0 ← in standard form

with a = 1, b = - 7, c = 3

Using the quadratic formula to solve for x

x = ( - (- 7) ± $√((-7)^2-(4(1)(3))$ ) / 2

= ( 7 ± $√(49-12)$ ) / 2

= $(7+/-√(37) )/(2)$ → C

Valerie sold 6 tickets to the school play and mark sold 16 tickets. What is the ratio of the number of tickets Valerie sold to the number of tickets mark sold

Answers

3:8 I think it is don't be cerain

6 to 16 or
6;16 or
as a fraction 6 on top and 16 on the bottom

Solve the system of equations -x - 2y = 11 and -3x - 2y = -7

Answers

Answer: (9,-10) or x=9...y=-10

Zeki's course at a trade school cost $1,500. The school gave him a loan for the full amount at an interest rate of 23%. The school expects a payment of $123.00 every month for 15 months. How much interest will Zeki have paid when the loan balance is $0?

Answers

Typically, interest is charged by month and since this problem doesn't say anything about compound interest, we'll treat it as simple. We can just simply multiply 1500 and 0.23 to get the total amount of interest. The total amount of interest is 345. Assuming that the $123 to be paid monthly doesn't include the interest yet, Zeki has to pay 345 in total. At the end of the 15 months, he would have paid 345.

Answer:

At the end he would have paid 345

Step-by-step explanation:

i did it on ttm for u :))

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