All categories

3 years ago

The sum of two numbers is 57 and the difference is 13 what are the numbers

Mathematics

2 answers:

Sergio [31]3 years ago

6 0

Guess and Check!
N1=Number 1
N2=Number 2

n1 + n2 = 57

n1 - n2 = 13

2n2 = 70

n2 = 35

n1 = 57 - 35 = 22

22 and 35=number

Rainbow [258]3 years ago

5 0

Let the numbers be x and y

x + y = 57 ........(i)
x - y = 13 ........(ii)

Add equations (i) and (ii) to eliminate y

x + y + x - y = 57 + 13
x + x + y - y = 57 +13
2x = 70
x = 70/2 = 35

From (i) x + y = 57
35 + y = 57
y = 57 - 35
y = 22

The numbers are 35 and 22.

You might be interested in

What is the answer I need help ?

lara [203]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

(-5,7) and (2,5) find the slope of the line passing through the given points

svp [43]

Answer: -2/7

Step-by-step explanation:

To find the slope, you use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ .

$m=\frac{5-7}{2-(-5)} =\frac{-2}{7}=-\frac{2}{7}$

Now, we know the slope is -2/7.

6 0

3 years ago

abbie spent 5/8 of her money and saved the rest. if she spent 45,how much money did she have at first?

algol13

$72

<h3>Further explanation</h3>

Given:

Abbie spent ⁵/₈ of her money and saved the rest.

She spent $45.

Question:

How much money did she have at first?

The Process:

The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.

Let us make a pattern of 8 units for the amount of money that Abbie had at first.

$\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that $\boxed{\$ 45 \div 5 = \$ 9}$

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 45$

From the pattern above, we can see that $\boxed{ \ 1 \ unit = \$ 9 \ }.$

Let us calculate how much money Abbie had at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \ ? \ }$

$\boxed{ \ 8 \times \$ 9 = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

The complete pattern of Abbie's initial money is as follows:

$\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9}\boxed{\$ 9} = \$ 72$

- - - - - - - - - -

Quick Steps:

Let M as Abbie's initial money.

$\boxed{ \ \frac{5}{8} \times M = \$ 45 \ }$

Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.

$\boxed{ \ M = \frac{8}{5} \times \$ 45 \ }$

We crossed out 5 and 45.

$\boxed{ \ M = 8 \times \$ 9 \ }$

$\boxed{ \ M = \$ 72 \ }$

Thus, the money Abbie had at first is $72.

<h3>Learn more</h3>

How much did Ciro spend altogether for the concert ticket, hotel, and dinner? brainly.com/question/12507869
How much does his cat weigh (Jesse's)? brainly.com/question/388037
How much more paint will Mathilde need to buy? brainly.com/question/36885

Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern

4 0

4 years ago

Read 2 more answers

What is the value of y? a. 30 b. 120 c. 60 d. 180

Oksana_A [137]

Okay, so we know the first triangle is an equilateral and the second is an isosceles. (the lines indicate congruence)

To find x, we have to figure out the other triangle's angles.

Since it is equilateral, all its sides are 60 degrees.

All triangles angles add up to 180. 180/3= 60

To find x we subtract the angle beside it by 180 to find the angle's degree.

180-60= 120. x= 120.

Since it is an isosceles, the last two angles are the same.
Subtract the vertex from 180.

180- 120= 60

Divide that by 2. (since there are two angles)

y= 30 Or choice A.

3 0

4 years ago

Find the hypotenuse of a triangle with a base of 11cm and a height of 9cm

lana66690 [7]

Pythagorean Theorem
=9²+11²
c=202
c=14.21

3 0

3 years ago