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Alenkasestr [34]

2 years ago

13

Jude has 5 pairs of sunglasses that cost the same in his online shopping cart, then decides to get only 2. Each pair of sunglass

es is the same price. Let p represent the cost of each pair. Write an expression for the original cost, and the difference in cost.

1 answer:

hoa [83]2 years ago

5 0

Answer:

Step-by-step explanation:

5p is the original price

Then 2p is the new price

5p-2p=3p

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Mia has 1/2 of a pizza. She divides it equally among 4 people. Which model shows the fraction of a whole pizza each person gets

Llana [10]

Each person gets $\frac{1}{8}$ of whole pizza

<em><u>Solution:</u></em>

Given that Mia has $\frac{1}{2}$ of a pizza

She divides it equally among 4 people

<em><u>To find: Fraction of a whole pizza each person gets</u></em>

From statement,

$\frac{1}{2}$ of pizza is divided equally among 4 people

Therefore, to find the fraction of whole pizza each person gets, we can divide the $\frac{1}{2}$ by 4 people

$\text{fraction each person gets } = \frac{\frac{1}{2}}{4}\\\\\text{fraction each person gets } = \frac{1}{2} \times \frac{1}{4}\\\\\text{fraction each person gets } = \frac{1}{8}$

Thus each person gets $\frac{1}{8}$ of whole pizza

3 0

2 years ago

Gavyn rolls a fair dice 540 times.<br> How many times would Gavyn expect to roll a four?

Flura [38]

540 / 4 = 135 times.

3 0

1 year ago

Read 2 more answers

mylen [45]

Answer:

The answer is 128 that is the answer

3 0

1 year ago

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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1 0.1702

28.5 1.0252

28.8 0.5077

29.4 0.0127

29.8 0.0827

29.8 0.0827

30.1 0.3452

30.6 1.1827

----------------------------------------

236.1 3.4088

Mean = 236.1 / 8 = 29.51

$S_{x}=\sqrt{3.4088/(8-1)}=0.6978$

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

$t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861$

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

$t$

Finding in the t distribution table α=0.05 with df=7, we have

$t_{0.05,7}=2.365$

$t>-t_{0.05,7}$ = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0

2 years ago

Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

emmasim [6.3K]

Answer:

$\frac{12}{35}$

Step-by-step explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

$\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}$

2) The ratio for Purple People Eater can be expressed in fraction form as :

$=\frac{3}{5}$

3) The ratio for Purple Majesty can be expressed in fraction form as :

$=\frac{7}{4}$

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in $\frac{3}{5}$

$\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}$

Multiply numerator and denominator by 5 in $\frac{7}{4}$

$\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}$

Common denominator is 20

6 0

1 year ago

Read 2 more answers