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iren2701 [21]
2 years ago
14

The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
8 0

Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.

Set the equation

2x + x = 36

Simplify. Combine like terms

(2x + x) = 36

3x = 36

Isolate the x. Divide 3 from both sides

(3x)/3 = (36)/3

x = 36/3

x = 12

The first number is 12

The second number is 2x. Replace x with 12. Multiply.

2x = 2(12) = 24

The second number is 24

Check: 12 + 24 = 36 (True)

Answer: 12 & 24

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3 years ago
C(1)=−20<br> c(n)=c(n−1)+10<br><br> Find the second term in the sequence. <br> ​
svet-max [94.6K]

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

5 0
3 years ago
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

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3 years ago
What is the correct answer to 42r - 18
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Answer:

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To find the driver's initial speed
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The speed of the driver is 200km/hr.

<h3>How to calculate the speed?</h3>

The information is incomplete and an overview will be given since the complete information wasn't found online.

It should be noted that speed is calculated as:

= Distance / Time

Let distance = 2000km

Let time = 10 hours.

Speed = Distance/Time

Speed = 2000/10

Speed = 200km/hr

Learn more about speed on:

brainly.com/question/4931057

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