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brilliants [131]
3 years ago
8

Which algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer:

The answer is A. \frac{-8}{g+3}

Step-by-step explanation:

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A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f
dimaraw [331]

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

3 0
2 years ago
3 quarts of maple syrup cost $19.47. How much do 3 gallons of maple syrup cost?
Murljashka [212]

Answer:

$ 77.88

Step-by-step explanation:

1 Gallon = 4 Quarts

3 Gallons = 3*4=12 Quarts

thus (19.47/3)*12 =$ 77.88 (we know 3 quarts cost $19.47, so divide by 3 and multiply by 12 gives the result.

8 0
3 years ago
Pls help find shaded area
Pavlova-9 [17]
<h3>Exact area = 12pi - 9*sqrt(3)  square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>

==========================================================

Work Shown:

Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure

A = area of northern sector (you can think of it as a pizza slize)

A = (angle/360)*pi*r^2

A = (120/360)*pi*6^2

A = 12pi

B = area of triangle

B = (1/2)*side1*side2*sin(included angle)

B = (1/2)*6*6*sin(120)

B = 18*sqrt(3)/2

B = 9*sqrt(3)

C = area of shaded region

C = A - B

C = 12pi - 9*sqrt(3)  .... exact area

C = 22.1106545749577 ... use a calculator to get the approximate area

6 0
3 years ago
Round to the Nearest Ten
lora16 [44]

Answer:

Step-by-step explanation:

62 to the nearest ten is 60.

6 0
3 years ago
Find the third side in simplest radical form:
ryzh [129]

Answer:

I'm pretty sure that this is the answer 41 square root

7 0
3 years ago
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