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egoroff_w [7]
3 years ago
5

Alessia is paid 1.4 times her normal hourly rate for each hour she works over 30 hours in a week. Last week she worked 35 hours

and earned $436.60. Write and solve an equation to find Alessia's normal hourly rate.
Mathematics
2 answers:
ella [17]3 years ago
7 0

Answer:

why is my name there

Step-by-step explanation:

pantera1 [17]3 years ago
4 0
x- normal\ hourly\ rate\\\\
35\ hours\ of\ work:\\
30\ normal\ hours\ and\ 5\ overtime\\\\
30x+5*1,4x=436,60\\\\
30x+7x=436,60\\\\
37x=436,60\ \ \ :37\\\\
x=11,8\$\\\\
\textbf{Alessia's\ normal\ hourly\ rate\ in\ work\ is\ 11,8\$.}
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What is equivalent to 3 radical 8
klemol [59]

Answer:

Equivalent 3\sqrt{8}=6\sqrt{2}

Step-by-step explanation:

Given: 3 radical 8

Mathematically 3 radical 8 can be written as 3\sqrt{8}

We have to find an equivalent to 3\sqrt{8}.

Given expression can be written as ,

3\sqrt{8}=3\sqrt{4 \times 2}

On further simplification, we get,

3\sqrt{4 \times 2}=3(\sqrt{4} \sqrt{2} )

We know \sqrt{4}=2

further simplification gives,

3\sqrt{8}=6\sqrt{2}

Thus, Equivalent 3\sqrt{8}=6\sqrt{2}


7 0
3 years ago
Is 6/7 equal to 3/4?
zheka24 [161]
Ok so, when working to find if a fraction is equal to another you must know what it is cut down by. So 6 / 2 = 3. Now let's break down 7 by 2. It is 3.5 that is not four. So no 6/7 so not equal to 3/4. 
8 0
3 years ago
Read 2 more answers
A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure anti
Dimas [21]

Answer:

42 gallons 45% antifreeze

28 gallons 95% antifreeze

Step-by-step explanation:

If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:

x + y = 70

And the total amount of antifreeze is:

0.45 x + 0.95 y = 0.65 (70)

Solving by substitution:

0.45 x + 0.95 (70 − x) = 0.65 (70)

0.45 x + 66.5 − 0.95 x = 45.5

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x = 42

y = 28

7 0
3 years ago
A group of friends are playing a trivia game. players spin a spinner 2 times to find the 2 categories of trivia questions they w
Delicious77 [7]

The probability that a player will be asked a math question and then a music question is 0.03125

<h3>How to determine the probability?</h3>

The size of the sections are given as:

Music = 0.5

Sport = 0.5

Others = 1

So, the total size is:

Total = 0.5 + 0.5 + 1 + 1 + 1

Evaluate

Total = 4

The probability of asking a math question is:

P(Math) = 1/4 = 0.25

The probability of asking a music question is:

P(Music) = 0.5/4 = 0.125

The required probability is:

P(Math and Music) = P(Math) * P(Music)

This gives

P(Math and Music) = 0.25 * 0.125

Evaluate

P(Math and Music) = 0.03125

Hence, the probability that a player will be asked a math question and then a music question is 0.03125

Read more about probability at:

brainly.com/question/25870256

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5 0
2 years ago
What is the solution to the system of equations?
Over [174]

ANSWER

C) (6,-8)

EXPLANATION

The equations are:

y =  \frac{1}{3}x - 10

and

2x+y=4

We substitute the first equation into the second equation to get:

2x +  \frac{1}{3}x - 10 = 4

We multiply through by 3 to get:

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Group similar terms,

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Divide both sides by 7 to get,

x =  \frac{42}{7}  = 6

Put this value of x into the first equation to get;

y =  \frac{1}{3} (6) - 10

y = 2 - 10 =  - 8

3 0
3 years ago
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