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AysviL [449]
2 years ago
15

−15x+4≤109 OR −6x+70>−2

Mathematics
2 answers:
Xelga [282]2 years ago
3 0

-15x+4\leq109\qquad\text{subtract 4 from both sides}\\\\-15x\leq105\qquad\text{change the signs}\\\\15x\geq-105\qquad\text{divide both sides by 15}\\\\\boxed{x\geq-7}\\or\\-6x+70>-2\qquad\text{subtract 70 from both sides}\\\\-6x>-72\qquad\text{change the signs}\\\\6x

wlad13 [49]2 years ago
3 0

Answer:

all values of x are solutions

Step-by-step explanation:

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A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?
ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%

30.56% of volume of the grapefruit is the peel.

4 0
2 years ago
HELP QUICK!
USPshnik [31]

Answer:

Eric will win if Nita chooses 7 and he chooses and number that is less than 17 (ex. n<17).

Nita will win if Eric chooses 17 and she chooses a number less than 8 (ex. n<8).

3 0
2 years ago
Ravi is driving 440 miles to visit his grandma.
Nesterboy [21]

Answer:

You would use the formula: Rate = distance / time which equals 55

Since we are asked for the time it takes to reach 3/4 the destination.We just use 3/4 of the value of the distance.

55 = (3/4)(440) / t

t = 6 hours

So the answer would be "C"



8 0
1 year ago
On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minute
Aloiza [94]
The answer is b, hope this helps
7 0
2 years ago
Read 2 more answers
each transformation is performed on the line with the equation y=2x-1. write the equation of the new line. vertical translation
Phoenix [80]

Answer:

y2= 2x-4

y3=6x-1

y4= x-1

y5=2x

Step-by-step explanation:

for y=2x-1

1) for a vertical translation down of 3 units

y2= y-3 =(2x-1)-3= 2x-4

y2= 2x-4

2) for a slope increased by 4

y3= y+ 4x = 2x-1 +4x = 6x-1

y3=6x-1

3) for sloped divided in half. slope of y : m=2 → slope of y4=2/2 =1

y4= x-1

4) shifted up (vertical translation) of  1 unit

y5= y+1 = 2x-1+1=2x

y5=2x

6 0
1 year ago
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