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Dimas [21]
3 years ago
7

The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. Find the two numbers.

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0
I think its 30 and 15
Irina18 [472]3 years ago
4 0
Let the smaller number be x.

The larger number is 1 more than 3 times the smaller number; in numbers this is: 3x + 1.

Their sum is 15, so subtracting x from 3x + 1 will be equal to 15. Your equation is: 15 = (3x + 1) - x

Solve 15 = (3x + 1) - x algebraically for x, and then plug x into 3x + 1 to find the larger number.

15 = (3x + 1) - x
15 = 3x + 1 - x
15 = 2x + 1
14 = 2x
7 = x

3x + 1
3(7) + 1
21 + 1
22

Finally, check all work.

22 - 7 = 15
7(3) + 1 = 22

Answer:
The smaller number is 7 and the larger number is 22.
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Step-by-step explanation:

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3 years ago
  Sarah Wiggum would like to make a single investment and have ​$1.7 million at the time of her retirement in 34 years. She has
vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

t = 35, I = 0.07, T = 1700000

She has to invest P today.

T = E + P

1700000 = E + P

E = 1700000 - P

So

E = P*I*t

1700000 - P = P*0.07*34

3.38P = 1700000

P = \frac{1700000}{3.38}

P = 502958.58

Sarah has to invest $502,958.58 today.

8 0
3 years ago
help. If 20 men can survive for 24 days on 15 cans of rations, how many cans will be needed for 16 men to survive for 36 days?
Semmy [17]

Answer: 29 cans.

Step-by-step explanation:

20 can survive 24 days with 15 cans.

If X is the number of days that a man can survive with one can of rations.

so X is in the units can/day

then we have that:

24/15*X = 20

X = 20*15/24 = 12.5

This means that a man can live 12.5 days with a can of food.

then, for 16 men and 36 days we have:

(36/C)*12.5 = 16

C = (36/16)*12.5 = 28.1215

And we can not have a 0.1215 of a can, so we should round it up to 29 cans.

4 0
3 years ago
2y+8×=2 identify the table that would correctly graph this equation
lys-0071 [83]

We have

2y+8x=2

In order to obtain easily the table, we need to clear y

\begin{gathered} 2y=-8x+2 \\ y=\frac{-8x+2}{2} \\ y=-4x+1 \end{gathered}

then we evaluate for values of x

if x=0

y=-4(0)+1=1

y=1

if x=1

y=-4(1)+1=-3

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if x=2

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if x=3

y=-4(3)+1=-11

y=-11

So the table for the given equation is

x y

0 1

1 -3

2 -7

3 -11

3 0
1 year ago
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