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3 years ago

kaitlin buys 9/10 pound of orange slices. she eats 1/3 of them and divides the rest equaly into 3 bags. how much is in each bag

Mathematics

1 answer:

USPshnik [31]3 years ago

6 0

2/10

1/3 of 9/10 would be 3/10

this leaves you with 6/10

divided into 3 bags leaves you with 2/10 in each bag

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Danielle runs 1/5 of a mile in 4.5 minutes. if she continues at the same speed, how long will it take her to run two miles?

motikmotik

(1/5) / 4.5 = 2 / m....1/5 mile to 4.5 minutes = 2 miles to m minutes
cross multiply
(1/5)(m) = (2)(4.5)
1/5m = 9
m = 9 * 5/1
m = 45 minutes <===

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3 years ago

11 The wild tiger population in India increased from 1706 in the year 2010 to

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The percentage change is 20%

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3 years ago

Harrison went out to buy coffee for his classmates. There are 23 students in his class, counting Harrison himself. Some wanted m

NemiM [27]

Step-by-step explanation:

Let's represent the number of mochas bought with the variable $M$ , and the number of lattes bought with the variable $L$ .

Since there are $23$ students, the total number of mochas and lattes bought must be $23$ . This can be represented with the following equation:

$M + L = 23$

We can also set up another equation based on the total amount spent on the coffe:

$4.30M + 3.50L = 87.70$

If we rearrange the first equation, we can solve for $M$ :

$M = 23 - L$

If we substitute this into the second equation, we can solve for $L$ :

$4.30(23 - L) + 3.50L = 87.70$

$98.9 - 4.3L + 3.5L = 87.7$

$98.9 - 0.8L = 87.7$

$0.8L = 11.2$

$L = 14$

Subtituting this back into the original equation, we can solve for $M$ :

$M + L = 23$

$M + 14 = 23$

$M = 9$

Therefore, 9 mochas and 14 lattes were bought.

3 0

3 years ago

Read 2 more answers

Layla uses 1.75 cups of sugar per batch of cookies. How many cups of sugar would she require to bake 9 batches of cookies?

ruslelena [56]

Answer:

15.75 cups

Step-by-step explanation:

If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups

8 0

3 years ago

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

7 0

3 years ago