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3 years ago

A 192-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Mathematics

2 answers:

stepan [7]3 years ago

7 0

Answer:

I do not know

Step-by-step explanation:

Andreyy893 years ago

4 0

Answer:

The short piece is 46 inches long.

The long piece is 230 inches long.

Step-by-step explanation:

a + b = 276

5b + b = 276 ---------------- substitute a = 5b

6b = 276 ---------------Divide both sides by 6

6b/6 = 276/6

b = 46.

Substitute b = 46 to find a.

a + b = 276

a + 46 = 276

a = 230.

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Arturiano [62]

Answer:

1. Substitute y = -3x +4 for y in the first equation

2. Combine like terms and isolate x

3. Substitute in x into the 2nd equation to get y

Step-by-step explanation:

1. Substitute y = -3x +4 for y in the first equation

2x- (-3x+4) = 6

2. Combine like terms

5x -4 = 6

5x -4 +4 = 6+4

5x=10 Divide by 5 to isolate x

5x/5 =10/5

x=2

3. Substitute in x into the 2nd equation to get y

y = -3x +4

y = -3(2) +4

y = -6+4

y=-2

(2,-2)

5 0

3 years ago

Beth will borrow 10,000 which earns 4% compound interest and she will repay that amount in 20 years. How much interest was earne

gtnhenbr [62]

Answer: 18,000

Step-by-step explanation: 10,000 borrowed + the 4% earned x the amount paid within 20 years

5 0

3 years ago

Read 2 more answers

Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordina

IrinaK [193]

Answer:

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Step-by-step explanation:

Ax + By = C, where A = 0, B is positive, and C is negative

By= C or y= C/B which is negative

Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero

---------------

A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).

no, the line is horizontal

A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).

no, the line is horizontal

A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).

no, the y-values should be negative

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

yes, this is horizontal line below zero

8 0

3 years ago

Read 2 more answers

Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a

dimaraw [331]

Answer:

<u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

hypotenuse² = leg₁² + leg₂²

hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

$hypotenuse=\sqrt{208mile^2}=14.4mile^2$ , which is rounded to the neartest tenth of a mile.

8 0

3 years ago

A recent survey determined the IQ score of a random selection of residents of Alaska. The accompanying relative frequency distri

ycow [4]

Answer:

The class width is 20

Step-by-step explanation:

In a frequency or a relative frequency distribution the class width is calculated as the difference between the lower or upper class limits of consecutive classes. A point to note is that all the categories or classes usually have the same class width.

We use the first two classes to calculate the class width by using their respective upper limits;

Class width = 89 - 69

Class width = 20

4 0

3 years ago