All categories

2 years ago

For each ordered pair, determine whether it is a solution to the system of equations.

Mathematics

1 answer:

Yuri [45]2 years ago

8 0

Answer:

Step-by-step explanation:

Simplifying

4x + 2y = 18

Solving

4x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

4x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

4x + 0 = 18 + -2y

4x = 18 + -2y

Divide each side by '4'.

x = 4.5 + -0.5y

Simplifying

x = 4.5 + -0.5y

////////////

Simplifying

y = -2 + 9

Combine like terms: -2 + 9 = 7

y = 7

Solving

y = 7

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = 7

You might be interested in

Find the quotient of -32/15 divided by -4/5

lana [24]

Answer:

Step-by-step explanation:

-32/15/-4/5

-32/15*5/-4

-32*5/15*-4

-160/-60

8/3

8 0

2 years ago

A recent poll of 120 randomly selected adults who frequent the local farmer's market found that 54 have purchased reusable clot

Olenka [21]

Answer:

95% Confidence interval: (0.361,0.539)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 120

Number of farmers who reusable cloth bags, x = 54

$\hat{p} = \dfrac{x}{n} = \dfrac{54}{120} = 0.45$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get:

$0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)$

is the required 95% confidence interval for the proportion of adults who have purchased reusable cloth bags.

3 0

3 years ago

A 9-foot roll of waxed paper costs $2.16. What is the price per inch?

Mama L [17]

Answer:

$0.02

Step-by-step explanation:

$2.16/9=$0.24 per foot

$0.24/12=$0.02 per inch

8 0

3 years ago

Read 2 more answers

Convert 35% into a decimal and a fraction. Show/explain your strategy.

Aloiza [94]

Answer:

Below.

Step-by-step explanation:

35% as a decimal can be written as 0.35. Because it is 0.35 out of 1.00 or 0.35%.

As a fraction, you could write it as 35/100 because its 0.35 or 35/100

6 0

2 years ago

Read 2 more answers

Five snails are having a race. The snail's speeds are given in the table. Which two snails are going the same rate of speed?

skad [1K]

Answer:

2 1/5 for alice

4 3/14 for Bert

5 for Carl

5 for Eva

5 1/2 for Dennis

Carl and Eva

Step-by-step explanation:

brainliest please

7 0

2 years ago