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3 years ago

Eight less than the quotient of a number and 3 is 18. Which equation models this sentence?

Mathematics

2 answers:

labwork [276]3 years ago

8 0

B- n/ 3 - 8 = 18....................

Yuki888 [10]3 years ago

5 0

Answer:

$\frac{n}{3}-8=18$

Step-by-step explanation:

Eight less than the quotient of a number and 3 is 18.

Let the unknown number be 'n'

the quotient of a number and 3. For quotient we divide by 3

$\frac{n}{3}$

Eight less than the quotient of a number and 3

For eight less , we subtract 8 from the division

$\frac{n}{3}-8$

The above expression is equal to 18

Eight less than the quotient of a number and 3 is 18.

$\frac{n}{3}-8=18$

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An arc of length 8 in. is intersected by a central angle in a circle with a radius of 3 in. What is the measure of the angle? Ro

krok68 [10]

Using the formula
L=rx (x=angle)
x=L/r
x=8/3
x=2.6 radians

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3 years ago

What’s the mean of 55,60,60,40,60,75,40,25

Mazyrski [523]

Answer:

51.625

Step-by-step explanation:

you add them all up to get 415 then you divide by eight because there are eight numbers that you add up to get the answer 51.625

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3 years ago

Read 2 more answers

Find the zeros of polynomial function.<br> f(x)=x^2-x-90

Fofino [41]

First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.

So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.

f(x) = x² + 9x - 10x - 90

Now we group together and pull out GCFs.

f(x) = (x² + 9x) + (10x - 90)

f(x) = x(x² + 9) - 10(x + 9)

f(x) = (x - 10)(x + 9)

Now, set each factor equal to zero.

x - 10 = 0, x + 9 = 0

For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.

x = 10, x = -9

Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).

7 0

2 years ago

Analyze the diagram below and complete the instructions that follow.

Umnica [9.8K]

Answer:

$x= 7, y=4\sqrt{2}$

<em>Correct option B.</em>

Step-by-step explanation:

The diagram shows a trapezoid with a base angle of 45° and the other base angle of 90°.

We have completed the diagram to draw a perpendicular line over the base of height h=4. A triangle is formed with an angle of 45°.

Recall a right triangle with angles of 45° is isosceles, thus the base and the height are h=4. Please check the diagram below.

For that triangle, we apply Pythagora's Theorem:

$y^2=4^2+4^2=2*4^2$

Thus:

$y=\sqrt{2*4^4}=4\sqrt{2}$

$y=4\sqrt{2}$

The base of the trapezoid x is h + 3 = 7

Thus:

$\mathbf{x= 7, y=4\sqrt{2}}$

Correct option B.

7 0

2 years ago

A football is passed through the air and caught at ground level for a touchdown. The height of the ball (h) is given by h= -d² +

IgorC [24]

Answer:

d = 6+sqrt(42)=12.4807407

Step-by-step explanation:

h= -d² + 12d + 6

The ball is caught at ground level which means h=0

0 = -d² + 12d + 6

Subtract 6 from each side

-6 = -d^2 +12d

Factor out a - sign

-6 =-(d^2-12d)

Divide by -1

6 = d^2 -12 d

Complete the square

-12/2 = -6 then square it = 36

Add 36 to each side

6+36 = d^2 -12d +36

42 = (d-6)^2

Take the square root of each side

±sqrt(42) = sqrt( (d-6)^2)

±sqrt(42) = (d-6)

Add 6 to each side

6±sqrt(42) = (d-6)+6

6±sqrt(42) = d

d = 6+sqrt(42)=12.4807407

d =6- sqrt(42)=-.480740698

Since the distance cannot be negative

3 0

3 years ago