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3 years ago

Which of the following is a solution of y - x > -3?

Mathematics

1 answer:

lys-0071 [83]3 years ago

5 0

A. (6, 2) because simple math can dictate that 6-2 will be equal to 4 positive which is still more than -3

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Pine Bluff Middle School is having its annual Spring Fling dance, which will cost \$400$400dollar sign, 400. The student treasur

nikklg [1K]

The correct answers are:

The inequality is 75+4t ≥ 400, and they must sell at least 82 tickets.

Explanation:

t is the number of tickets sold. They start out with $75, so that is where our inequality begins. Each ticket is $4; this gives us the expression 4t. Together with the $75 carry over, we have 75+4t.

They must make at least $400 to pay for the dance. This means it must be more than or equal to 400; this gives us 75+4t ≥ 400.

To solve this, first subtract 75 from each side:

75+4t-75 ≥ 400-75

4t ≥ 325

Divide both sides by 4:

4t/4 ≥ 325/4

t ≥ 81.25

We cannot sell a portion of a ticket, so we round. While mathematically this number would "round down," if they only sell 81 tickets, they will not have enough money. Therefore we round up to 82.

7 0

3 years ago

Read 2 more answers

Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim

DaniilM [7]

Answer:

$t = 0.875$

Step-by-step explanation:

Given

Brand A Brand B

$n_ 1= 12$ $n_2 = 12$

$\bar x_1 = 21.8$ $\bar x_2 = 18.9$

$\sigma_1 = 8.7$ $\sigma_2 = 7.5$

Required

Determine the test statistic (t)

This is calculated as:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

Calculate s using:

$s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}$

The equation becomes:

$s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}$

$s = \sqrt{\frac{1451.34}{22}}$

$s = \sqrt{65.97}$

$s = 8.12$

So:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}$

$t = \frac{21.8 - 18.9}{8.12 * 0.408}}$

$t = \frac{2.9}{3.31296}}$

$t = 0.875$

3 0

3 years ago

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo

nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0

3 years ago

Help ASPP -3/5 x = 18 -30 -10 4/5 10 4/5 30

kompoz [17]

Answer:

-30

Step-by-step explanation:

move and divide -3/5 to the right side

-3/5x = 18

x=18÷(-3/5)

x= -30

5 0

3 years ago

I need help it will be great if you help me. :)

kvv77 [185]

Divide everything by 8: 550/8=68.75, 250/8=31.25. The new dimensions are 68.75 inches by 31.25 inches :)

5 0

3 years ago