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3 years ago

Please explain how to get this answer.

Mathematics

1 answer:

Klio2033 [76]3 years ago

4 0

From earth and mars theres a 37.7% difference, from earth to the moon theres a 16.6% difference

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What is the answer to this inequality -45 <-9k

DIA [1.3K]

Answer: 5 > k

Step-by-step explanation: When you're asked to solve an inequality like -45 < -9k, your goal should be the same as it was when solving equations which is to get k by itself on one side.

In this problem since k is being multiplied by -9 on the right side of the inequality, to get k by itself, we divide both sides by -9 but here is the rule you have to watch out for when solving inequalities.

When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this less than in our original problem becomes greater than in our second step. I would recommend switching it as soon as possible so you don't forget.

Let's rewrite our original inequality.

-45 < -9k

On the right side, the -9's cancel and we're left with k and on the right side, -45 divided -9 is -5. So we have 5 > k.

5 0

3 years ago

If two ppl working at 7.00 per hour work 8 hours making trays that cost 35.00 each if it cost 14.00 to make the trays how many w

sasho [114]

Answer:

They have to make 6 trays to cover the cost including labor.

Step-by-step explanation:

Given:

Number of labor =2

Cost per hour of labor =7.00

Number of hours they work = 8

Selling cost of each trays =35.00

making cost of each tray = 14.00

We need to find the number of trays they to make to cover the cost including the labor.

Solution:

Let the number of trays be 'x'.

First we will will find the Total cost of labor.

Total cost of labor is equal to Number of labor multiplied by Cost per hour of labor multiplied by Number of hours they work.

framing in equation form we get;

Total cost of labor = $2\times 7\times8 =112.00$

Now we can say that;

Selling price of each tray multiplied number of trays equal to Making cost of each trays multiplied by number of tray plus Cost of labor.

framing in equation form we get;

$112+14x=35x$

Combining like terms we get;

$112= 35x-14x\\\\112=21x$

Dividing both side by 21 using division property of equality we get;

$\frac{112}{21} = \frac{21x}{21}\\\\5.33=x$

Hence They have to make 6 trays to cover the cost including labor.

3 0

3 years ago

Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 56 text messages from Yolanda. Which equation ca

gizmo_the_mogwai [7]

Answer:

Quiana has 8 text messages from Pierre.

Step-by-step explanation:

This question can be solved using a rule of three.

Quiana has 7 times more text messages from Yolanda than from Pierre.

This means that for each message that she receives from Pierre, she receives 7 from Yolanda.

She received 56 from Yolanda.

7 messages from Yolanda - 1 messages from Pierre

56 messages from Yolanda - x messages from Pierre

$7x = 56$

$x = \frac{56}{7}$

$x = 8$

Quiana has 8 text messages from Pierre.

6 0

3 years ago

Write a proportion for each of the diagrams below and solve for the missing value.

Arada [10]

Answer:

x=7.5

Step-by-step explanation:

$\frac{8}{5} =\frac{12}{x}$

$8x=60$

$x=7.5$

8 0

3 years ago

The perimeter of an equilateral triangle is 65 cm, to the nearest centimetre.

iogann1982 [59]

Answer:

The smallest possible side length is around 21.3.

Step-by-step explanation:

Equilateral triangles have 3 sides of equal lengths.

65 ÷ 3 = $\frac{65}{3}$ or 21.333

4 0

3 years ago

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