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jasenka [17]
4 years ago
13

A number is less than one fourth the sum of three times the number and four

Mathematics
1 answer:
Neko [114]4 years ago
3 0

Answer:

Step-by-step explanation:If we write the inequality out, we get this: x < 1 4 ( 3 x + 4 ) Now we just need to solve for x. Multiplying both sides by 4 yields: 4 x < 3 x + 4

Step-by-step explanation:

If we write the inequality out, we get this:

x

<

1

4

(

3

x

+

4

)

Now we just need to solve for x. Multiplying both sides by 4 yields:

4

x

<

3

x

+

4

Subtract 3x from both sides:

x

<

4

So any number less than 4 will work!

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1. Peyton has a credit card with an annual rate of 24.7% compounded monthly. She used the credit card to purchase cleaning suppl
enyata [817]

Answer:

Total interest = $3.41

Step-by-step explanation:

Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.

The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%

For the first month

With payment of $72 the remaining amount will be 189.56 - 72 = $117.56

Interest paid will be 0.02058 * 117.56 = $2.42

Total amount owed now will be 117.56 + 2.42 = $119.98

For the second month another payment of $72 is made

The remaining will be 119.98 - 72 = $47.98

Interest charged will be 0.02058 * 47.98 = $0.99

The amount owed will be 47.98 + 0.99 = $48.97

In the third month she will pay the remaining $47.98 which is within her monthly limit

Total interest paid = Sum of Amount paid each month - Initial amount spent

Total interest = {(72 * 2) +48.97} - 189.56 = $3.41

4 0
4 years ago
Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p
Levart [38]

Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
  • The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

3 0
3 years ago
Read 2 more answers
Use the correct function to find the missing angle y measurement to the
Doss [256]

Answer:

Cos;

26 degrees

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle = y°

Adjacent side = 18 in.

Hypotenuse = 20 in.

We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:

Cos y° = Adj/Hyp

Cos y° = 18/20

Cos y° = 0.9

y° = cos^{-1}(0.9)

y = 25.8419328° ≈ 26 degrees (nearest whole degree)

The answers are:

Cos and 26 degrees

4 0
3 years ago
Which absolute value equation represents the graph? PLEASE HELP
storchak [24]

Answer:

c

Step-by-step explanation:

i just looked up the question

3 0
3 years ago
What is 4% of 50% of 5
icang [17]

Answer:

4% of 50% of 5 is 0.1

Use a calculator.

(Answer was deleted for "incorrect" as it was correct as that's what I got as an answer.)

6 0
4 years ago
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