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3 years ago

8

Write and solve an inequality for the following. As a salesperson you are paid $75 a week plus $3 per sale. This week you want t

o make at least $150.

1 answer:

Nitella [24]3 years ago

5 0

Answer:

x≥25

Step-by-step explanation:

150-75=75

75/3=25

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Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has

Aleksandr [31]

Answer:

5

Step-by-step explanation:

for the first gear

revolutions/teeth

1 / 24

2 / 48

3 / 72

4 / 96

5 / 120

6 / 144

for the second gear

revolutions/teeth

1 / 40

2 / 80

3 / 120

4 / 160

<em>the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.</em>

the way to get that amount of teeth is

$24 = 2 \times 2 \times 2 \times 3 = {2}^{3} \times 3$

$40 = 2 \times 2 \times 2 \times 5 = {2}^{3} \times 5$

the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.

${2}^{3} \times 5 \times 3 = 120$

120 teeth are 5 revolutions for gear1 and 3 por gear2

8 0

3 years ago

What is -3x^2-4x-4=0

ss7ja [257]

Answer:

<h2>no real solution</h2>

Step-by-step explanation:

$-3x^2-4x-4=0\qquad\text{change the signs}\\\\3x^2+4x+4=0\\\\\text{use the quadratic formula:}\\\\\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\text{We have}\ a=3,\ b=4,\ c=4.\\\\\text{Substitute:}\\\\b^2-4ac=4^2-4(3)(4)=16-48=-32$

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3 years ago

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Lina20 [59]

Answer:

-3/5

Step-by-step exp:

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Step-by-step explanation:

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