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Bad White [126]
3 years ago
5

The range of all real numbers x such that 2x − 5 < 7 and 4x + 10 > 6 is

Mathematics
1 answer:
hammer [34]3 years ago
5 0
2x - 5 < 7
2x = 12
x = 6

4x + 10 > 6
4x = - 4
x = - 1

( - 1 , 6 )

i am a mathematics teacher. if anything to ask please pm me
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4p-10&lt;6p-8 or 10p+16&lt;9p-3
Finger [1]

Answer:

p>-1    or    p<-19

Step-by-step explanation:

4p-10<6p-8 (add 10 to each side)

4p< 6p+2 (subtract 6p from each side)

-2p<2  (divide by -2 and switch the sign)

p>-1

10p+16<9p-3 (subtract 16 from each side)

10p<9p+-19 (subtract 9p from each side)

p<-19

8 0
3 years ago
A room in the shape of a cube has a floor area of 20.25 square metre what is its height ? what is its volume ? ​
ki77a [65]

Answer:

Height= 4.5 Volume= 91.125

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
At a recent marathon, spectators lined the street near the starting line to cheer for the runners. The crowd lined up 5 feet dee
masha68 [24]

Answer:

29568 people cheered for the runners at the start of the race

Step-by-step explanation:

From the question, the crowd lined up 5 feet deep on both sides of the street for the first mile.

This lined up crowd could be related to a rectangle that is 1 mile long and 5 feet wide.

First, Convert 1 mile to feet

1 mile = 5280 feet

Hence, the length of the rectangle is 5280 feet and the width is 5 feet.

Now, we will determine how many 5 feet by 5 feet square we can get from the 5280 feet by 5 feet rectangle. To do that, we will divide 5280 feet by 5 feet

5280 feet ÷ 5 feet = 1056

Hence, from the rectangle, we can get 1056 5 feet by 5 feet square.

From the question, you estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet,

∴ 14 × 1056 people will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

14 × 1056 = 14784 people

This is the amount of people that will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.

Since the crowd lined up on both sides of the street, then

2 × 14784 people will comfortably fit in the crowed lined up 5 feet deep on both sides of the street for the first mile

2 × 14784 = 29568 people

Hence, 29568 people cheered for the runners at the start of the race.

5 0
3 years ago
You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Year
hoa [83]

Answer:

intercept=b0=75

Step-by-step explanation:

The least squares estimate of the intercept b0 can be computed as

b0=ybar-b1*xbar.

ybar=average number of shares of company stock=525.

xbar= average number of years employed=22.5.

slope=b1=20.

Thus,

intercept=b0=ybar-b1*xbar

intercept=b0=525-20*22.5

intercept=b0=525-450

intercept=b0=75.

Thus, the estimate of intercept b0=75.

8 0
3 years ago
PLEASE HELP I AM STUCK!!!THESE ARE ALL MY POINTS!!!
Bond [772]

Answer:

come back when you have the number for the 32oz

Step-by-step explanation:

8 0
3 years ago
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