MATHEMATICS HIGH SCHOOL

4 5/6 divided by 7/8

Answers

Answer 1

Answer:

Answer: 5 11/21

Step-by-step explanation:

Answer 2

Answer: the answer to 4 5/6 divided by 7/8 is 5 11/21

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Simplify 12- (-8) X4=

Answers

Using PEMDAS, you must multiply -8 by 4 first

12-(-32)

The negatives cancel. Therefore, 12+32 = 44

12-(-8)*4

12-(-32)

12+32

= 44

I hope that's help !

The tax rate as a percent, r, charged on an item can be determined using the formula 100( – 1) = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?

Answers

The question is asking us to calculate the final cost of the item after the tax is applied. The price of item before the tax is: P = $40 and the tax rate as a percent is 8%. It means that r = 0.08. And the formula is: C = P * ( 1 + r ). Finally: C = $40 * ( 1 + 0.08 ) = $40 * 1.08 = $43.20. Answer: The final cost is $43.20.

In the first year of ownership, a new car can lose 20% of its value. If a car lost $4,200 of value in the first year how much did the car originally cost?

Answers

Original cost of the car is $21,000.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

A new car lose 20% of its value.

In first year, A car lost $4,200 of the value.

Now, Let original price of car = $x

Then, By the given condition;

20% of x = $4,200

Solve for x;

20/100 of x = 4,200

20/100 × x = 4,200

1/5 × x = 4,200

x = 5 × 4,200

x = 21,000

Thus, Original cost of the car is $21,000.

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Using the (is/of = %/100) 4,200 is 20% of x. 4200/x = 20/100. Cross multiply and divide and you should get $21,000

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches. What is the length of the other leg in inches?

Answers

Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².

Given

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15 inches.

$c^2 = 20 in$

$a^2 = 15 in$

$b^2 = Unknown$

------------ Calculations

$b^2 = c^2 - a^2$

$b^2 = c^2(20) - a^2(15)$

$b^2 = 400 - 225$

$b^2 = 175$

$b = √(175)$

$b = 13.2287565553$

Please help!!! I've attached an image with the diagram and answers.Name the line and plane shown in the diagram.

Answers

Im pretty. sure its c

Okay so you know what a line is right?
A line has two points ( point A & point B), also a line has two endpoints. A plane in where two points are on a surface but they’re not on the same line or connected by a ray etc.

Simplify each sum or difference. State any restrictions on the variables.19) (-3x)/(x^2 - 9) + 4/(2x-6)

Answers

Simplify 4
2x-6

1.1 Pull out like factors :

2x - 6 = 2 • (x - 3)

-3x Simplify ——3 over x2 -9———— x2 - 9

(-3x)/(x^2 - 9) + 4/(2x-6) = (-3x)/[(x-3)(x+3)] + 4/[2(x-3)] = (-3x)/[(x-3)(x+3)] + 2/(x-3) =
(-3x + 2x + 6)/[(x-3)(x+3)] = (-x+6)/[(x-3)(x+3)];

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