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dusya [7]
2 years ago
14

There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be

equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?
Mathematics
1 answer:
gogolik [260]2 years ago
6 0

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10

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Marizza181 [45]
It is 13 over 31 your welcome
6 0
3 years ago
The vertex of the graph of f(x) = |x - 3| +6 is located at<br> Done<br> Intro
Igoryamba

Answer:

The vertex of the graph is located at the point (3,6)

Step-by-step explanation:

Here, we want to know where the vertex of the equation if plotted will be

To get this, what we have to do is to equate the expression that we have in the absolute value to zero

After this, we then proceed to solve for the value of x

We have this as;

x -3 = 0

hence;

x = 0 + 3

x = 3

to get the y-value of the vertex, we look at the value at the side of the absolute value

This value is 6 and thus, the y-value of the vertex point is 6

So the coordinates of the vertex is (3,6)

8 0
3 years ago
Emma receives $7750 and invests it in an account that earns 4% interest copounded continuously, What is the total amount of her
QveST [7]
So your present value is 7750. this is what you have now. they give you the intesrest rate which is 4% and how the amount of year is 5.

recall the formula for a compounded continously is
P×e^(r×t)

the answer is 7750×e^(.04×5)
8 0
3 years ago
A plumber charges $70 per hour plus $40 for the call what does he charge for 4 hours of work
docker41 [41]
First do $70(4). That would equal $280. Then do $280+$40=$320

6 0
3 years ago
Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4
ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

4 0
3 years ago
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