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KIM [24]
2 years ago
15

10. The perimeter of the rectangle below is 30 inches. Find the value of x. 5x X-3

Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0
The answer is 3. This is because the perimeter is 30 so 5x+5x+x-3+x-3 = 30. Thus you have 12x-6=30 so x = 3
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Heather has divided ​$5400 between two​ investments, one paying 8​%, the other paying 5​%. if the return on her investment is ​$
Phantasy [73]

Answer:

$2500 at 8%.

$2900 st 5%.

Step-by-step explanation:

Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.

We have been given that Heather has divided ​$5400 between two​ investments. We can represent this information as:

x+y=5400...(1)

The return on her investment is ​$345.  

Earnings from the investment at 8% will be 8% of x.

Earnings from the investment at 5% will be 5% of y.

(\frac{8}{100})x+(\frac{5}{100})y=345...(2)

0.08x+0.05y=345...(2)

We will use substitution method to solve our system of equations. From equation (1) we will get,

x=5400-y

Substituting this value in equation (2) we will get,

0.08(5400-y)+0.05y=345

432-0.08y+0.05y=345

-0.08y+0.05y=345-432

-0.03y=-87

\frac{-0.03y}{-0.03}=\frac{-87}{-0.03}

y=2900  

Therefore, Heather has invested an amount of $2900 at 5%.

Let us substitute y=2900 in equation (1) to solve for x.

x+2900=5400

x+2900-2900=5400-2900

x=2500

Therefore, Heather has invested an amount of $2500 at 8%.

6 0
3 years ago
in the actual room, the distance between the front and back walls is 8 feet. what is the actual length of the front wall, in fee
Bogdan [553]

Answer:

8 feet

Step-by-step explanation:

it actually will be 8 feet

3 0
3 years ago
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
murzikaleks [220]

Answer:

the correct answer would be B

3 0
3 years ago
Read 2 more answers
If f(x) =2x²-x, find f(-4)-f(9)​
sergeinik [125]
F(-4) = 36
f(9) = 153
3 0
3 years ago
A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of coo
tensa zangetsu [6.8K]

Answer:

20 batches

Step-by-step explanation:

Cups of sugar in a bag = 15

Cups of sugar per batch of cookie = 3/4 cup

Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1

what's the greatest number of batches of cookies that can be made with the bag of sugar

Let

x = batches of cookies made with a bag of sugar

Cups of sugar per batch of cookie : batch of cookies = 15 : x

Equate the ratios

3/4 : 1 = 15 : x

3/4 ÷ 1 = 15/x

3/4 × 1/1 = 15/x

3/4 = 15/x

Cross product

3 * x = 4 * 15

3x = 60

x = 60/3

x = 20

x = batches of cookies made with a bag of sugar = 20 batches

8 0
3 years ago
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