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Soloha48 [4]
3 years ago
12

Question 1 Multiple Choice Worth 1 points) (01.05 LC) Solve for x: -7 < X -1 <8

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

-6 < x <9

Step-by-step explanation:

-7 < X -1 <8

Add 1 to all sides

-7+1 < X -1+1 <8+1

-6 < x <9

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What is the solution to the inequality?
oksano4ka [1.4K]

Alright, lets get started.

-\frac{2}{3} (2x-\frac{1}{2} )\leq \frac{1}{5}x -1

Distributing -\frac{2}{3} into parenthesis

-\frac{4x}{3}+ \frac{2}{6} \leq \frac{x}{5} -1

-\frac{4x}{3}+ \frac{1}{3} \leq \frac{x}{5} -1

Subtracting \frac{1}{3} from both sides

-\frac{4x}{3}+ \frac{1}{3}- \frac{1}{3}\leq\frac{x}{5}-1- \frac{1}{3}

-\frac{4x}{3} \leq \frac{x}{5}- \frac{4}{3}

Adding \frac{4}{3} in both sides

-\frac{4x}{3}+ \frac{4}{3} \leq \frac{x}{5} -\frac{4}{3}+ \frac{4}{3}

-\frac{4x}{3} +\frac{4}{3} \leq \frac{x}{5}

Adding \frac{4x}{3} in both sides

-\frac{4x}{3} +\frac{4}{3} +\frac{4x}{3} \leq \frac{x}{5} +\frac{4x}{3}

\frac{4}{3} \leq \frac{x}{5} +\frac{4x}{3}

Making common denominator, adding fractions

\frac{4}{3} \leq \frac{23x}{15}

It means

23x\geq \frac{4*15}{3}

23x\geq 20

Dividing 23 in both sides

x\geq \frac{20}{23}

In interval notation

[\frac{20}{23},∞)

This is the answer

Hope it will help :)


4 0
3 years ago
On a cold January morning, the radiator fluid in Christine’s truck is –13°F. With the engine on, the temperature goes up by 3.6°
faust18 [17]

Answer:

It will take 17.5 minutes to reach 50 degrees F.

Step-by-step explanation:

Current temperature = -13 degrees F

With the engine on, the temperature goes up by 3.6°F per minute.

Let us assume that it takes x minutes to reach 50 degrees F.

So, the time taken will be =

-13+3.6(x)=50

=> 3.6x=50+13

=> 3.6x=63

x = 17.5 minutes

The expression that tells how much the temperature needs to change from -13°F to 50°F is : -13+3.6(x)=50

It will take 17.5 minutes to reach 50 degrees F.

5 0
4 years ago
Read 2 more answers
A certain natural number is not divisible by 7. Can it be divisible by 14?
Delicious77 [7]
No because 14 is a multiple of 7 so any number that can be divided by 14 can be divided by 7. (2x7=14)
6 0
4 years ago
Please help with this 7th grade math I need to pass this test
kari74 [83]

<u>Area of triangle = (1/2) × Base × Height</u>

Area of bigger triangle = (1/2) × 15 cm × 10 cm

Area of bigger triangle = (1/2) × 150 sq. cm

Area of bigger triangle = 75 sq. cm

Similarly,

Area of smaller triangle = (1/2) × 12 cm × 5 cm

Area of smaller triangle = (1/2) × 60 sq. cm

Area of smaller triangle = 30 sq. cm

Area of shaded region = Area of bigger triangle - Area of smaller triangle

Area of shaded region = 75 sq. cm - 30 sq. cm

Area of shaded region = 45 sq. cm

<u>Answer</u><u> </u><u>:</u>

Area of shaded region in sq. cm = 45

7 0
3 years ago
Read 2 more answers
PLEAS HELP ON THESE QUESTIONS THEY ARE MY LAST ONE ALSO I WILL GIVE BRAINLIEST
amid [387]

Answer: the mean number is of kittens is 4

6 0
3 years ago
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