Part A:

Given the ratio 1 : 2, we can describe this ratio with the following situation.

The number of green balls to orange balls in the bag is in the ratio of 1 : 2. For every green ball in the bag, there are 2 corresponding orange ball.

Part B:

Given the ratio 29 : 30, we can describe this ratio with the following situation.

The ratio of the amount of sugar used to the amount of salt used to prepare the sugar-salt solution is 29 : 30. For every teaspoons of sugar used in the solution, 30 teaspoons of salt needs to be used.

Part C:

Given the ratio 52 : 12, we can describe this ratio with the following situation.

The number of kilometers travelled by the car and the bicycle is in the ratio of 52 : 12. For every 52 kilometers travelled by the car, the bicycle travelled 12 kilometers.

4 0

2 years ago

Taylor and Layla go to the movie theater and purchase refreshments for their friends.

zhenek [66]

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

The price of a drink is $8.50

Step-by-step explanation:

Taylor and Layla go to the movie theater and purchase refreshments

for their friends

Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn
Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

We need to write a system of equations that can be used to find the

price of one drink and the price of one bag of popcorn

Assume that the price of each drink is $x and the price of each bag

of popcorn is $y

∵ Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn

∴ 4 x + 9 y = 43 ⇒ (1)

∵ Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

∴ 2 x + 8 y = 25 ⇒ (2)

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

Multiply equation (2) by -2 to eliminate x

∵ -2(2 x) + -2(8 y) = -2(25)

∴ -4 x - 16 y = -50 ⇒ (3)

- Add equations (1) and (3)

∴ -7 y = -7

- Divide both sides by -7

∴ y = 1

- Substitute y in equation (1) to find x

∵ 4 x + 9(1) = 43

∴ 4 x + 9 = 43

- Subtract 9 from both sides

∴ 4 x = 34

- Divide both sides by 4

∴ x = 8.5

∵ x is the price of each drink

∴ The price of a drink = $8.50

The price of a drink is $8.50

Learn more:

You can learn more about system of equation in brainly.com/question/6075514

#LearnwithBrainly

6 0

2 years ago

Three teachers burned calories dancing.

Georgia [21]

Answer:

Mr doyle the fastest and Mr hennessy was the slowest

Step-by-step explanation:

3/4 of an hour is 45 minutes Mr panasuk took 45 minutes

5 0

2 years ago

A company claims that less than 10% of adults own a smart watch. You want to test this claim, and you find that in a random samp

Nezavi [6.7K]

Answer:

Test statistic is 0.67

Critical value is -2.33

Step-by-step explanation:

Consider the provided information.

The formula for testing a proportion is based on the z statistic.

$z=\frac{\hat p-p_0}{\sqrt{p_0\frac{1-p_0}{n}}}$

Were $\hat p$ is sample proportion.

$p_0$ hypothesized proportion and n is the smaple space,

Random sample of 100 adults, 12% say that they own a smart watch.

A company claims that less than 10% of adults own a smart watch.

Therefore, n = 100 $\hat p$ = 0.12 , $P_0$ = 0.10

$1 - P_0 = 1 - 0.10 = 0.90$

Substitute the respective values in the above formula.

$z=\frac{0.12-0.10}{\sqrt{0.10\frac{0.90}{100}}}$

$z\approx 0.67$

Hence, test statistic = 0.67

This is the left tailed test.

Now using the table the P value is:

P(z < 0.667) = 0.7476

P-value = 0.7476

$\alpha = 0.01$

Here, P-value > α therefore, we are fail to reject the null hypothesis.

$Z_{\alpha}= Z_{0.01} = -2.33$

Hence, Critical value is -2.33

7 0

2 years ago