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solong [7]
3 years ago
12

The difference between two numbers is 9Find these numbers if their sum is 45.​

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer:

spoe that x and y are the two numbers. Then we have x-y=9 and x+y=45. By adding the two equations together we obtain 2x=54 and so x=27. This implies that y=45-27=18.

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What multiple of 8 is also a factor of 8?
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Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was p
Gemiola [76]

Answer:

The value of the bond when Tyler's mom purchased it was $150

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem

r=4%=4/100=0.04

b=1+0.04=1.04

substitute

f(x)=a(1.04)^{x}

where

x is the number of years since the savings bond was purchased

f(x) is the value of the savings bond

For x=1

f(x)=$156

substitute

156=a(1.04)^{1}

Solve for a

156=a(1.04)

a=\$150

therefore

The value of the bond when Tyler's mom purchased it was $150

8 0
3 years ago
Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller
gregori [183]

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90°                   Combine like terms on the left

Solution

5x + 30 = 90                            Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30             Combine

5x = 60                                     Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

  • smallest angle = 12
  • Larger angle = 4*12 + 30 = 78

6 0
2 years ago
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