Something divided by 4= 9

Answers

Answer 1
Answer:
Well, let's see:

You said that                        (something) / 4  =    9

Multiply each side by  4 :      something      =  36 .

Answer 2
Answer: x / 4 = 9

Multiply both sides by 4

x/4 * 4 = 9 * 4

x = 9 * 4

x = 36

36 divided by 4 = 9

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Can the fraction 2/1 be simplified

Answers

Yes. 2/1=2

It's the same as saying 2 divided by 1.
Yes, If you want a whole number, 2 but if you want a fraction then no it can't be simplified.
Hope it helps! :-)

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?

Answers

Answer:

Bird house is 20 ft. high.

Step-by-step explanation:

Let the height of the bird house is h feet high casts a shadow of 14 ft long.

My friend is 5 feet high and casts a shadow of 3.5 feet.

Now we see both the triangles Δ ABC and Δ XYZ are similar.

By the similar triangles theorem sides opposite to the corresponding angles will be in the same ratio.

(5)/(h)=(3.5)/(14) (from similar triangles ABC and XYZ)

h=(14*5)/(3.5)=(70)/(3.5)=20 ft.

Therefore bird's house is 20 feet high.

Answer:

20 feet high

Step-by-step explanation:

Do the work

What is 127km  to the nearest 10km

Answers

127 rounded to the nearest 10 is 130 .

The ' 10s ' on each side of it are 120 and 130.
It's closer to 130.

You can tell that by looking at the units place.
If the units digit is less than 5, then it's closer to the lower ten.
If the units digit is 5 or more, then it's closer to the higher ten.
This units digit is 7, so it's closer to the higher ten . . . 130 .
127km = 130km since 7 in the tens digit is nearer to the 30 than 20 :)

How do I Express 18+24 as the product of the GCF and another sum

Answers

Answer:

6(3+4)

Step-by-step explanation:

We are asked to represent 18+24 as the product of the GCF and another sum.

First of all, we will find the greatest common factor of 18 and 24.

Factors of 18: 1, 2, 3, 6, 9, 18.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.

We can see that greatest common factor of 18 and 24 is 6. Let us write our given expression as product.

6\cdot 3+6\cdot 4

Factor our 6:

6(3+4)

Therefore, our required expression would be 6(3+4).

Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours? What is the hourly rate Bruce charges to rent a snowmobile? Write a direct variation equation, then solve.

Answers

Answer:

The hourly rate Bruce charges is, $33.75

Step-by-step explanation:

Direct Variation states two variables that can be expressed by an equation in which one variable is equal to a constant times the other, or we can say that if one variable changes then the other changes in proportion to the other.

i.e y \propto x or

y = kx where k is the constant.

Let x be the number of hours and y be the charges.

He charges $ 135 for 4 hours, by using direct variation;

135= k( 4)

Solve for k:

k = (135)/(4) = \$ 33.75 per hour

Now, for 6 hours he charges $ 202.50, by using direct variation.

202.50 = k(6)

Now, solve for above k: we have

k = (202.50)/(6)  = \$ 33.75 per hour.

Therefore, the hourly rate Bruce charges to rent a snowmobile, k is, $ 33.75


Answer: Hourly rate of rent a snowmobile is $ 33.75.

Step-by-step explanation:

Since we have given that

Amount Bruce charges for 4 hours = $135

Amount Bruce charges for 6 hours = $ 202.50

Since there is direct variation, as with the increase in hours the cost will also increase.

So, it will be written like this :

(135)/(4)=(202.5)/(6)

But we need to find the hourly rate which will be

(135)/(4)=\$33.75

Hence, hourly rate of rent a snowmobile is $ 33.75.

if 3 is added to a number and the sum is tripled, the result is 19 more than the number. find the number

Answers

Answer:

The number is 5

Step-by-step explanation:

if 3 is added to a number and the sum is tripled, the result is 19 more than the number

(n+3) *3 = n+19

Distribute the 3

3n +9 = n+19

Subtract n from each side

3n-n +9 = n-n+19

2n +9 = 19

Subtract 9 from each side

2n+9-9 = 19-9

2n =10

Divide by 2

2n/2 =10/2

n=5

The number is 5

Answer:

(x + 3)·3 = x + 19 --> x = 5