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horrorfan [7]
3 years ago
15

On the number line below, show the set of values of x for which –2 < x + 3 ⩽ 4

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

-5 < x ⩽ 1

Step-by-step explanation:

Given the compount inequality

–2 < x + 3 ⩽ 4

Subtract 3 from all the sides

-2-3 < x+ 3 - 3 ⩽ 4 - 3

-5 < x ⩽ 1

This can be expressed as;

-5 <x and x ⩽ 1

x > -5 and x ⩽ 1

Hence the reqiures set of values of x are values from -4 to 1

S ={-4, -3, -2, -1, 0, 1}

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For a science report, Doug is measuring widths of mushrooms with a ruler that divides inches as shown. To determine each width,
Serga [27]
From the 3 options listed, both 5.25 in and 6.5 in could be measures found using a ruler with eighth inches marked, because those decimals can be written in terms of eighth fractions.

5.25 $in $ \rightarrow (5 + 0.25) $in $ \rightarrow (5 +  \frac{2}{8} ) $in$ \\ &#10;6.5 $in $ \rightarrow (6 + 0.5) $in $ \rightarrow (5 +  \frac{4}{8} ) $in$

The other option, 7.1 in, is not a possibility because 0.1 cannot be written as a fraction of 8 that is marked on the ruler.
7 0
3 years ago
Allie deposited $80 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have
77julia77 [94]

Answer: $96.8

Step-by-step explanation:

Formular for Compounding annually :

A =P ( 1 + r/n) ^nt

Where p is the Principal given as $80

r is the rate given as 10% = 10/100 = 0.1

n is the number of times the principal was compounded, given as 1

t is the time, given as 2 years:

Slot the values into the formula:

A= $80 ( 1 + 0.1/1) ^ (1 × 2)

A= $80 ( 1 + 0.1) ^2

A= $80 ( 1.1) ^2

A= $80 (1.21)

A= $80 x 1.21

A= $96.8

96.8 is already rounded to the nearest cent.

5 0
3 years ago
Would it be “A” or “C”?
LUCKY_DIMON [66]

Answer:

Tagging Problem for future searchers

Step-by-step explanation:

Which expression represents the statement "four less than the product of three and a number"?

A) 4-3n

B) 4-n/3

C) 3n-4

D) n/3-4

7 0
3 years ago
the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 9
natima [27]
Inverse variation means y=k/x  (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6(900)

k=5400 so the equation is:

y=5400/x  or more accurately for this problem

t(v)=5400/v  then:

t(800)=5400/800

t(800)=6.75 hours
7 0
3 years ago
What is the answer ?
fomenos

Answer:

19/60 or .317

Step-by-step explanation:

C = 95/300

95/300 = 19/60

19/60 = .317

3 0
2 years ago
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