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3 years ago

Which inequality will have a shaded area below the boundary line?

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

3x + 4y > 12 <span>will have a shaded area below the boundary line</span>

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Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than

irakobra [83]

Answer:

Ratio of Quentin new income to Sam new income is $\frac{11}{12}$

So option (a) will be correct option

Step-by-step explanation:

Let Rex income is 100

Then Paul income is 40 % less than Rex income 100 - 100×0.4 = 100-40 = 60

And Quentin's income is 20 % less than Paul income

So Quentin's income is 60 - 60×0.2 = 60-12 = 48

Sam income is 40% less than Paul income

So Sam income = 60 - 60×0.4 = 60 - 24 = 36

Now Rex give 60% income Sam

So Sam new income = 36 + 100×0.6 = 60+36 = 96

And Rex give 40% of his income to Quentin's

So Quentin's new income = 48 + 100×0.4 = 40+48 = 88

Now ratio of Quentin's new income to the Sam new income $=\frac{88}{96}=\frac{11}{12}$

So option (a) will be correct answer

3 0

3 years ago

Determine if the given information yields zero, one or two triangles

wel

Answer:

1. zero triangles

2. one triangle

3. two triangles

4. zero triangles

5. one triangle

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

21.)

vivado [14]

Answer:

Step-by-step explanation:

a+b=9500 equation 1

35a+55b=432500 equation 2

a=9500-b modified equation 1 to isolate a

35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2

332500-35b+55b=432500

20b=100000

b=5000

solve for a

a + b=9500

a + 5000=9500

a=4500

check answer:

35a+55b=432500

35(4500)+55(5000)=432500

157500+275000=432500

432500=432500

6 0

3 years ago

A farmer had a plot of land measuring 15 yd. by 11 yd. Thefarmer put up a fence,leaving a margin of 2 yd. wide all round it. (a)

sineoko [7]

The answer would be 850.85

6 0

3 years ago

Read 2 more answers

Under typical conditions, 1 <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\

damaskus [11]

Answer:

2 $\frac{1}{3}$ inches

Step-by-step explanation:

First, I would try to get the mixed numbers into improper fractions. Then, I try to make them have the same denominator so it is easier.

1 $\frac{1}{2}$ feet --- 2 inches

$\frac{3}{2}$ feet --- 2 inches

$\frac{6}{4}$ feet --- 2 inches

1 $\frac{3}{4}$ feet --- ? inches

$\frac{7}{4}$ feet --- ? inches

$\frac{7}{4}$ feet --- $\frac{7}{6}$ × 2 inches

= 2 $\frac{1}{3}$ inches

3 0

3 years ago