# -6 < -3; Divide both sides by -3

2 months ago

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2 months ago
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## ðŸ“š Related Questions

Question
What is the approximate circumference of a circle with a radius of 42.1 km? A. 5565.4 km B. 1391.3 km C. 264.4 km D. 132.2 km
Solution 1

Solution 2
Circumference of circle = 2*pi*r
Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â = 2*22/7*42.1
Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â = 264.4 km

Therefore, the circumference of the circle is 264.4 km
Question
Write a story problem about 40 apples and 17 pears
Solution 1
There were 40 apples with 17 pears that died.
Question
Claireâ€™s mother is 4 years more than twice Claireâ€™s age. The sum of their ages is 58 years.Â
Solution 1
Claire's age = x

claire's mothers age = 2x+4 ( 4 more than twice claire's age)

x + 2x+4 = 58

add like terms ( x +2x = 3x)

3x +4 = 58

subtract 4 from each side:

3x = 54

divide both sides by 3
x = 54 /3
x = 18

Claire is 18 years old
Â Claire's mother is Â 2*18 = 36 +4 = 40 years old

Solution 2
Let x = Claire's age
Claireâ€™s mother is 4 years more than twice Claireâ€™s age = 2x + 4
The sum of their ages is 58 years:
x + 2x + 4 = 58
3x + 4 = 58
3x = 54
x = 18

Claire's age = 18
Claireâ€™s mother = 2(18)+4 = 36 + 4 = 40
Question
What two prime numbers equal 85 when added together?
Solution 1

I started out trying to subtract a prime number from 85, and then
see whether I had a prime number remaining.Â  I did this several
times, before I slapped myself upside the head.

-- 85 is an odd number.Â

-- To get an odd-number for a sum, you have to add one odd number
to one even number ... there's no other way.

-- So one of the prime numbers we're looking for must be
Â Â  Â  an even number.

-- The ONLY even number that's a prime number is ' 2 '.
Â Â  Â  So it must be one of them.

-- Subtract 2 from 85, and you have 83 left.
Â Â  Â  Is 83 a prime number ?Â  Yes.Â

-- So the two numbers areÂ  2Â  andÂ  83.

If 83 were not a prime number, this wouldn't work, and I would have said
"There is no such pair of numbers.".Â  That means it doesn't necessarily work
for every odd number.

Examples:

75Â  ===>Â  2 and 73 . \
55Â  ===>Â  2 and 53 .Â  \
45Â  ===>Â  2 and 43 .Â Â  \
Â Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Both primes.Â  It works.

65Â  ===>Â  2 and 63 .Â  63 is not a prime. \
35Â  ===>Â  2 and 33 .Â  33 in not a prime.Â  \
Â Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  It doesn't work.

Question
A flagpole casts a showdown 15 feet long the 6 foot tall man casts a shadow 4 feet long how tall is the flag pole
Solution 1
Set it up as a ratio:
mans shadow over mans height (4/6 ) equals flag pole shadow over flag pole height (15/x)

set them to equal each other:

4/6 = 15/x

cross multiply: 4*x =4x, 15*6 = 90

so you have 4x = 90

now divide both sides by 5 to solve for x, which is the height of the flag pole:

x = 90 / 4 = 22.5 feet tall
Question
she brought the cameras for \$65 each and included a 60% markup to get the selling price ,what was the selling price for one camera?
Solution 1
60% of 65=
0.6*65=36
add it into a sum with 65
39+65= 104

This means each camera is worth \$104

Hope I helpedÂ
Solution 2
39 I think
how many cameras did she buy?
opps I forgot to add 39 to 65 for a total of 104
SORRY

Question
What is 13.05 to 1 decimal place?
Solution 1

-- When 13.05 is truncated to one decimal place, it becomes 13.0 .

-- When 13.05 is rounded to one decimal place, it becomesÂ  13.1 .

Question
Which expression means "five divided by the sum of two times b and three?" A. B. C. D.
Solution 1
You didn't give the choices but it would be

5/2b + 3
Solution 2
I would doÂ
5/2b
This mean 2xB
5/2B+3
Question
As a salesperson, you are paid \$92 per week plus \$4 per sale. This week you want your pay to be at least \$200. Write an inequality for the number of sales you need to make, and describe the solutions
Solution 1
So I did some working out and i got this...
You are payed \$92 per week Â so you need to take it away from 200
200-92=108
Now divide 108 by 4
108/4= 27
So in order to be payed \$200 dollars she needs to sell ATLEAST 27 things.
Solution 2
You need to do \$200 -\$92 =108. 108 divide by 4 is 27. so you would need to make 27 sales
Question
30 deciliters he already has 1 liter.How many liters of milk will he need to buy?
Solution 1
STEP 1:
find number of liters in 30 deciliters

1 deciliter= 0.1 liter

multiply total number of deciliters (30) by liters in one deciliter (0.1).

=30 * 0.1 liter
=3 liters

STEP 2:
subtract 1 liter from step 1 answer because he already has one liter

= 3 liters - 1 liter
= 2 liters still needed

Hope this helps! :)

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