-6 < -3; Divide Both Sides By -3

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Mathematics Middle School

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

2 months ago

Solution 1

Guest #454

2 months ago

2 $\geq$ 1

📚 Related Questions

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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

C.264.4 that should answer your question

Solution 2

Circumference of circle = 2*pi*r
= 2*22/7*42.1
= 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

Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.

Solution 1

Claire's age = x

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

sum is addition

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

Solution 2

Let x = Claire's age
Claire’s mother is 4 years more than twice Claire’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
Claire’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. I did this several
times, before I slapped myself upside the head.

-- 85 is an odd number.

-- 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
   an even number.

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

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

-- So the two numbers are 2 and 83.

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

Examples:

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

65 ===> 2 and 63 . 63 is not a prime. \
35 ===> 2 and 33 . 33 in not a prime. \
   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 helped

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 becomes 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 do
5/2b
This mean 2xB
and then add 3
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 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

ANSWER: He needs to buy 2 liters

Hope this helps! :)

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