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3 years ago

Using the variable x for unknown number what is five more than the quotient of a number and 6 equals 7

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

"Using the variable x for unknown number what is five more than the quotient of a number and 6 equals 7" translates into 5 + x/6 = 7.

To solve use inverse operations.

$5 + \frac{x}{6} = 7\\\\\frac{x}{6} = 2 \\\\ x = 12$

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A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

7 0

3 years ago

8. Find the value of x so that line mis parallel to line l. (1 p<br><br> (3x+21)°<br><br> (4x-7)

dybincka [34]

Answer: The value of x is 28.

Step-by-step explanation:

Since line m is parallel to line l.

So, we assume that

(3x+21)° and (4x-7)° are corresponding angles.

And we know that , corresponding angles formed when a transversal cut the parallel line are equal.

So, they must be equal to each other.

$3x+21=4x-7\\\\21+7=4x-3x\\\\28^\circ=x$

Hence, the value of x is 28.

6 0

3 years ago

Find all possible values of k so that x^2 + kx - 32 can be factored.

daser333 [38]

Answer:

Step-by-step explanation:

The posssible factors are

x^2 + 4x - 32

(x+8)(x-4)

x^2+ 14x - 32

(x+16)(x-2)

(x+32)(x-1)

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3 years ago

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Katarina [22]

Answer:

7 hours

Step-by-step explanation:

10-3=7

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