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tamaranim1 [39]
3 years ago
5

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

ate is $600 and the daily rate for each partner is $1200. The law firm assigned a total of 10 lawyers to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case, x , x, and the number partners assigned to the case, y y.
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0
Add the numbers together and se what you get
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Round to the nearest hundred thousand 111022
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Write True or False for the statement below
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Answer:

true

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What is the square root of 29,
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Which values of a and b make the following equation true? (5x7y2)(-4x4y5)=-20xayb
Kaylis [27]

Answer:

The values of a and b are a = 11 , b = 7

Step-by-step explanation:

* Lets explain how to solve the problem

* In the exponential functions we have some rules

1-  In multiplication if they have same base we add  the power

# Ex: b^m  ×  b^n  =  b^(m + n) ⇒ b is the base , m and n are the powers

2- In division if they have same base we subtract  the power

# Ex: b^m  ÷  b^n =  b^(m – n) ⇒ b is the base , m and n are the powers

3- If we have power over power we multiply them

# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers

* Lets solve the problem

∵ The equation is (5x^{7}y^{2})(-4x^{4}y^{5})=-20x^{a}y^{2} ⇒ (1)

- At first multiply the coefficients

∵ -4 × 5 = -20

- Multiply the base x

∵ (x^{7})(x^{4})=x^{7+4}=x^{11}

- Multiply the base y

∵ (y^{2})(y^{5})=y^{2+5}=y^{7}

∴ (5x^{7}y^{2})(-4x^{4}y^{5})=-20x^{11}y^{7} ⇒ (2)

- By comparing (1) and (2)

∴ a = 11 and b = 7

* The values of a and b are a = 11 , b = 7

5 0
3 years ago
Read 2 more answers
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Leto [7]

Answer:

1 inch

Step-by-step explanation:

If we call the thickness of the frame x, then the dimensions of the glass are:

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The area of the glass is width times height:

48 = (8 − 2x) (10 − 2x)

Distribute and simplify:

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0 = 4x² − 36x + 32

0 = x² − 9x + 8

Factor and solve:

0 = (x − 1) (x − 8)

x = 1 or x = 8

x can't be more than 4 (half the width of the frame), so x = 1 inch.

7 0
3 years ago
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