All categories

3 years ago

Solve the system by substitution. In the space provided, type the answer without any

Mathematics

1 answer:

adelina 88 [10]3 years ago

7 0

Answer:

x - y = -1 ....... 1

3x + 2y = 22 ........ 2

Make x the subject in the first equation

x = -1+y

Substitute this into the second equation

3(-1+y) + 2y = 22

-3 + 3y + 2y = 22

5y = 25

Divide both sides by 5

y = 5

Substitute y = 5 into x = -1+y

x = -1+5

x = 4

x = 4 , y = 5

Hope this helps

You might be interested in

You buy 3.7 pounds of trail mix. The mix costs $2.99 per pound. What is the total price for the trail mix?

Sauron [17]

Answer: $11.06

Step-by-step explanation: 3.7*2.99 = 11.063

Hopefully this helps, if its wrong lmk

6 0

1 year ago

As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho

Maslowich

Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_c}{E})^2$

, where p = prior estimate of population proportion.

E= Margin of error.

$z_c$ = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = $z_c=1.96$

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61

[∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

$n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2$

Simplify ,

$n=0.2379\times9604=2284.7916\approx2285$

Thus , we need to survey <u>2285</u> Americans .

4 0

3 years ago

45/100 in simplest form

Harrizon [31]

Hello there! How are you today?

First, let's take a look at our numbers.

45 / 100

Both of these numbers have a 0 and a 5, which means it is divisible by 5.
Let's divide both of them by 5.

45 / 5 = 9
100 / 5 = 20

We are now left with 9/20.

This is your simplified fraction since 9 and 20 do not have any common factors.

I hope this helps!

4 0

3 years ago

The side lengths of the Australian flag are in a ratio of 1:2. If the flag is 5 feet long, what is it’s height?

jonny [76]

height:length

1:2

x feet: 5 feet

You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.

6 0

2 years ago

The product of a 7 and a number.

Virty [35]

it would look like this: x times 7 -> 7x

8 0

3 years ago