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frez [133]
4 years ago
7

Simplify the following expression.

Mathematics
2 answers:
MAVERICK [17]4 years ago
8 0
(43x+62y)+(34x-25y)\ \ \ \ |use\ Commutative\ and\ Associative\ property\\\\=(43x+34x)+(62y-25y)\\\\=\boxed{77x+37y\to\boxed{D}}

Commutative\ property:a+b=b+a\\\\Associative\ property:(a+b)+c=a+(b+c)
Mashutka [201]4 years ago
7 0
(43x+62y)+(34x-25y)=
43x+62y+34x-25y=
43x+34x+62y-25y=
77x+37y
The answer is D.
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Yuri [45]
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5 0
3 years ago
Greta currently works 45 hours per week and earns a weekly salary of $729. She
marissa [1.9K]

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

4 0
3 years ago
Can someone explain this to me pls
Maurinko [17]

Answer: 15 gallons are needed

Step-by-step explanation: Simplify the ratio 5:2, which is 2.5:1. Multiply 6 on both sides to get 15:6. :)

7 0
3 years ago
Can someone help me on this and thanks
Natasha_Volkova [10]

Answer: False

Step-by-step explanation:

Although it does go through y= -4

Doing Rise/Run we go up 2 and and over to the right 3 and see it does not cross through the point.

5 0
3 years ago
Write an equation that expresses the following relationship.
ahrayia [7]

Given:

u varies directly with the square of p and inversely with d.

To find:

The equation for the given situation.

Solution:

If y is directly proportional to x, then

y\propto x

If y is inversely proportional to x, then

y\propto \dfrac{1}{x}

It is given that u varies directly with the square of p and inversely with d. So,

u\propto \dfrac{p^2}{d}

It can be written as:

u=k\dfrac{p^2}{d}

Where, k is the constant of proportionality.

Therefore, the required equation is u=\dfrac{kp^2}{d}.

6 0
3 years ago
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