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xenn [34]
3 years ago
11

Hector took a 1 week vacation, so his next paycheck will only be 3 weeks of work. What percentage of his regular pay should he e

xpect to receive?
Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0
The problem says that Hector receives his regular pay when he works 4 weeks, but he <span>took a 1 week vacation. So, if in 4 weeks Hector receives the 100% of his regular pay, w</span><span>hat percentage of that pay should he expect to receive with 3 weeks of work?
</span><span>
 4 weeks-------100%
 3 weeks-------x

 We have:

 x=(3x100)/4
 x=75%

 Then, the answer is:

 Hector </span>should expect to receive the 75% of his regular pay.<span>
</span>
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Kryger [21]
((2÷9))÷3
(0.222)÷3
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Handsome jack is buying a pony mad of diamonds. The price of the pony is p dollars and jack also has pay 25% diamond pony tax. H
Leona [35]

Answer:

5/4 P dollars

Step-by-step explanation:

Given that,

price of pony =  P

Tax which is to added in the total price of pony = 25% of pony price

so, now total price of pony including its tax = P + 25%P

                                                                        =  P + 25/100 P

                                                                        =  P + 1/4 P

                                                                        = 5/4 P dollars

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5 0
3 years ago
Read 2 more answers
Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)
jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

 a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

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* Lets solve the problem

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∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

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∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0
3 years ago
Match each question to the correct problem.
Maslowich
<h2>Answer:</h2>

<em>(Check attached images).</em>

<h2>Step-by-step explanation:</h2>

<h3>Exercise 1.</h3>

a. Convert to decimals.

To order the numbers from least to greaters, convert them to decimals and compare.

5.2(percent)=0.052\\ \\\frac{1}{7} =0.1429\\\\ -0.8=-0.8000\\ \\\frac{-11}{5} =-2.2

b. Select the second least number.

-0.8.

<h3>Exercise 2.</h3>

a. Convert to decimals.

-3.4(percent)=-0.034\\ \\-0.031\\\\ -0.2\\ \\-\sqrt{0.8}= -0.8944

b. Select the correct number.

-\frac{1}{5}.

<h3>Exercise 3.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

<em>59%=0.59</em>

<em>3/5=0.6</em>

<em />

b. Select the correct number.

3/5.

<h3>Exercise 4.</h3>

a. Convert to decimals.

-0.35

-3.5%= -0.035

b. Conclude.

Seeing that -3.5% is less than -0.35, the symbol that makes the statement true is ">".

<h3>Exercise 5.</h3>

a. Try to visually estimate b.

B appears to have a value of -0.9.

b. Convert the numbers to decimals.

-3.4%= -0.034

-0.031

-1/5= -0.2

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c. Select the correct answer.

<em>Since we estimated the value of b as -0.9, the number that best adequates to its value is </em>-\sqrt{0.8}.

<h3>Exercise 6.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the positive numbers.</em>

5.2%= 0.052

1/7= 0.1429

b. Select the correct number.

5.2% is the second largest.

<h3>Exercise 7.</h3>

a. Convert to decimals.

6/7= 0.857143

0.857

b. Select the correct answer.

Seeing that 0.857 is marked as an approximate by the

ellipsis,  and considering that 6/7 is an irrational numbers, we can conclude that the number that better fits the situation and makes the statement true is "=".

<h3>Exercise 8.</h3>

a. Convert to decimals.

<em>After seeing that there are negative and positive numbers, and with the premise that negative numbers are </em><u><em>always</em></u><em> lesser than positive numbers, we'll only compare the negative numbers.</em>

<em>-4.6</em>

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b. Select the correct answer.

The smallest number is -4.6.

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Nata [24]
4x + 2x< 5x-13
solve
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