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2 years ago

6

Which number line represents the solution set for the inequality 3(8-4x)<5(x-5)

2 answers:

dexar [7]2 years ago

8 0

Answer:

The answer is x > 3

Step-by-step explanation:

Tatiana [17]2 years ago

6 0

3(8-4x) < 5(x-5)

24-12x < 5x-25

-12x-5x < -25 -24

-17x < -49

x > ⁴⁹/₁₇

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Select the objects that hold the same amount of liquid as 160 fluid ounce jug spect all that apply A four 8 ounce fluid glasses

Olegator [25]

The answer is D .....

7 0

2 years ago

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

3 years ago

Finding an angle measure

g100num [7]

Answer:

C. 50 degrees

Step-by-step explanation:

Angle EDG is 90 degrees

x = 10

5 multiplied by 10 is 50

4 multiplied by 10 is 40

40+50=90

3 0

2 years ago

Read 2 more answers

Kamal spent 40% of his income. He

Arte-miy333 [17]

Answer:

<em>(c) Rs. 1500</em>

Step-by-step explanation:

Percentages

It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.

This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.

The 100% of his income is calculated as a percent proportion:

If 60% is Rs. 900, then 100% is:

$\displaystyle \frac{900}{60}*100=1500$

Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500

5 0

3 years ago

Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D.

Julli [10]

Answer:

$AB = 6$

Step-by-step explanation:

Given

$BC = 3.8$

$A'B' = 15$

$B'C' = 9.5$

Required

Determine the length of AB

Because A'B'C'D is a dilation of ABCD, then the following relationship must exist:

$A'B' : AB = B'C' : BC$

Substitute values for A'B', B'C' and BC

$15 : AB = 9.5 : 3.8$

Express the ratio as fractions:

$\frac{AB}{15} = \frac{3.8}{9.5}$

Multiply through by 14

$15 * \frac{AB}{15} = \frac{3.8}{9.5} * 15$

$AB = \frac{3.8}{9.5} * 15$

$AB = \frac{3.8* 15}{9.5}$

$AB = \frac{57}{9.5}$

$AB = 6$

8 0

2 years ago

Read 2 more answers