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VARVARA [1.3K]
4 years ago
14

Which graph represents the solution set of the compound inequality?−5<a−6<2

Mathematics
2 answers:
Aliun [14]4 years ago
8 0
C is the correct answer

Debora [2.8K]4 years ago
3 0

Answer:

Correct graph of the inequality −5 < a−6 < 2   is:

Third option

Step-by-step explanation:

We are given a inequality:

−5 < a−6 < 2

adding 6 on each sides of inequality, we get

-5+6 < a-6+6 < 2+6

i.e. 1 < a < 8

Hence, Values of a lies between 1 and 8 excluding both 1 and 8

Hence, Correct graph of the inequality −5 < a−6 < 2   is:

Third option

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Vani bought two pounds of strawberries for $8.00. What is the price, in dollars per ounce of strawberries?
WARRIOR [948]

Answer:

the prize is 8.00 for 1 pound

7 0
3 years ago
Antonio is building a 1:240 scale model of a real castle. His model has a rectangular base that is 2.5 feet wide and 2 feet long
UNO [17]
*Hint: In order to find the area of a rectangle you multiply the length and width.

Because the scale is 1:240, you multiply the sides by 240.

2.5 turns into 600.
2 turns into 480.

A = lw
A = (600)(480)
A = 288,000

The area would be 288,000 square feet.
6 0
3 years ago
Calculate the variance and the standard deviation of the data below 23. 19, 22, 30, 28
Alina [70]

To get the variance, start with finding the mean of your data points:

(23 + 19 + 22 + 30 + 28) / 5 = 24.4

Now take each data point and subtract the mean from it, then square that value:

23 - 24.4 = -1.4 * -1.4 = 1.96

19 - 24.4 = -5.4 * -5.4 = 29.16

22 - 24.4 = -2.4 * -2.4 = 5.76

30 - 24.4 = 5.6 * 5.6 = 31.36

28 - 24.4 = 3.6 * 3.6 = 12.96

Now get the average of those new numbers. That is your variance:

(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24

The standard deviation will be the square root of the variance:

√(16.24) = 4.0299 (rounded to 4DP)

7 0
3 years ago
Which number is a solution of the inequality? 3x – 7 &gt; – 1 A. 0 B. 2 C. 5
Softa [21]

Answer:

C. 5

Step-by-step explanation:

3x – 7 > – 1

Add 7 to each side

3x – 7+7 > – 1+7

3x> 6

Divide each side by 3

3x/3 >6/3

x >2

X must be greater than 2


5 0
4 years ago
Read 2 more answers
Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old
erik [133]

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

3 0
3 years ago
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