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mel-nik [20]
3 years ago
9

Hector works 12 hours per week at a part time job. His original pay rate was $8 per hour, but he recently received a raise of x

dollars per hour. His new total weekly pay, y, is represented by the equation y = 12(8 + x). If Hector earned $126 last week, what was the amount of Hector's raise per hour?
Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer:

x = \frac{8}{3}

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

128=12(8+x)

128=(12)(8)+(12)(x)(Distribute)

128=96+12x

128=12x+96

Step 2: Flip the equation.

12x+96=128

Step 3: Subtract 96 from both sides.

12x+96−96=128−96

12x=32

Step 4: Divide both sides by 12.

\frac{12x}{12} =\frac{32}{12}

x=8/3

qwelly [4]3 years ago
3 0

Answer:

poop

Step-by-step explanation:

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A campus club held a bake sale as a fund raiser, selling coffee, muffins, and bacon and eggs sandwiches. The club members charge
OLEGan [10]

Answer:

The number of  bacon and egg sandwiches sells are 2 .

Step-by-step explanation:

Let us assume that the number of coffee cups campus club sells be x .

Let us assume that the number of muffins  cups campus club sells be y .

Let us assume that the number of bacon and eggs sandwiches campus club sells be z .

As given

Campus club sold a total of 55 items .

Thus the equation becomes

x + y + z = 55

Of the club members sold 5 more muffins than cups of coffee .

Thus

Number of muffins = 5 + Number of cups of coffee

y = 5 + x

Putting the value of y in the equation x + y + z = 55 .

x + 5 + x + z = 55

2x + z = 55- 5

2x + z = 50

As given

The club members charged $1 for a cup of coffee, 3$ for a muffin , and $4 for a bacon and egg sandwich and earns $119 .

Thus the equation becomes

x + 3y + 4z = 119

Putting the value of y in the above

x + 3 × (x + 5) + 4z = 119

x + 3x + 15 + 4z = 119

4x + 4z = 119 - 15

4x + 4z = 104

Simplify the above

x + z = 26

Thus the two equations are

2x + z = 50

x + z = 26

Multiply x + z = 26 subtracted from 2x + z = 50.

2x -x + z - z = 50  - 26

x = 24

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24 + z =26

z = 26 - 24

z = 2

Therefore the number of  bacon and egg sandwiches sells are 2 .

7 0
3 years ago
What are the steps to find the lower and upper quartiles of a data set
Mariana [72]

Answer:

1. Order the values. 2. Find the median. 3. Find the lower quartile. 4. Find the upper quartile.

Step-by-step explanation:

6 0
3 years ago
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator
WARRIOR [948]

Answer: 5n = 3d and 3n + 6 = 2d + 4

Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.  

We are to select the system of equations that could be used to solve the problem.  

Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:

n/d = 3/5

5n = 3d

<h3>and</h3>

(n+2)/(d+2) = 2/3

3(n+2) = 2(d+2)

3n + 6 = 2d + 4

Thus, the required system of equations is,

5n = 3d and 3n + 6 = 2d + 4

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3 0
2 years ago
What is the answer to this question?<br> I am confused.
olga nikolaevna [1]

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

5 0
3 years ago
What are the coordinates of the orthocenter of LMN ?
Sauron [17]

Answer:

a (1, 2.5)

Step-by-step explanation:

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8 0
3 years ago
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