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3 years ago

A washer and a dryer cost $726 combined. The washer costs $76 more than the dryer. What is the cost of the dryer?

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:Cost of dryer=$325

Step-by-step explanation:

Let the dryer be represented as x

and the washer be x+76

such that the price of both can be written as

dryer + washer=$726

x + x+76=726

2x+76=726

2x=726-76

2x=650

x=650/2=325

Cost of dryer =x=$325

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

3 years ago

Use the parabola you graph the quadratic function y = x^2 + 4x + 5 graph the parabola by first plotting its vertex and then plot

SVETLANKA909090 [29]

Answer:

Vertex : (-2,1)

other points : (0,5) & (-4,5)

Step-by-step explanation:

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2 years ago

Two buses leave a corner at the same time. One bus goes uptown at a constant rate of 25 mph, the other downtown at a rate of 15

vlada-n [284]

The rate of separation = 25 + 15 = 40 mph

speed = distance / time

40 = 30 / t

t = 30/40 hour = 45 minutes

Its C.

5 0

2 years ago

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A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.

Natali5045456 [20]

Answer: 4/5 , 3/10

Step-by-step explanation:

P(not drawing black marble)= $\frac{ number of marbles which are not black}{total number of marbles}$

= 8/10

=4/5

P(drawing a red marble)= $\frac{ number of marbles which are red}{total number of marbles}$

=3/10

4 0

3 years ago

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Help me please for the brainliest answer

AveGali [126]

Answer with Step-by-step explanation:

$a) {n}^{2} + 3 \\ \\ n = 1 \\ {1}^{2} + 3 \\ 1 + 3 \\ = 4 \\ \\ n = 2 \\ {2}^{2} + 3 \\ 4 + 3 \\ = 7 \\ \\ n = 3 \\ {3}^{2} + 3 \\ 9 + 3 \\ = 12 \\ \\ n = 4 \\ {4}^{2} + 3 \\ 16 + 3 \\ = 19 \\ \\ n = 10 \\ {10}^{2} + 3 \\ 100 + 3 \\ = 103$

In this sequence,

1st term = 4

2nd term = 7

3rd term = 12

4th term = 19

10th term = 103

$b)2 {n}^{2} \\ \\ n = 1 \\ 2 \times {1}^{2} \\ 2 \times 1 \\ = 2 \\ \\ n = 2 \\ 2 \times {2}^{2} \\ 2 \times 4 \\ = 8 \\ \\ n = 3 \\ 2 \times {3}^{2} \\ 2 \times 9 \\ = 18 \\ \\ n = 4 \\ 2 \times {4}^{2} \\ 2 \times 16 \\ = 32 \\ \\ n = 10 \\ 2 \times {10}^{2} \\ 2 \times 100 \\ = 200$

in this sequence,

1st term = 2

2nd term =8

3rd term = 18

4th term =32

10th term = 200

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3 years ago