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yKpoI14uk [10]
2 years ago
10

2/3 - 1/2 in lowest terms?

Mathematics
1 answer:
RoseWind [281]2 years ago
4 0

Answer:

1/6

Step-by-step explanation:

convert 2/3 and 1/2 into fractions with the same denominator

2/3 = 4/6

1/2 = 3/6

4/6 - 3/6 = 1/6

1/6 can not be simplified further

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Archimedes was asked by his king to figure out a way of telling if people were giving him fake gold objects. That was when Archi
klio [65]

Answer:

See explanation below

Step-by-step explanation:

Archimedes was able o obtain the actual volume of the supposedly gold made object by collecting the water displaced by the object as it was sunk on a bowl filled with water to the rim. Then knowing the volume displaced and therefore the volume of the object, he could find the object's density (mass over volume). The mass he could get just by weighting the object. and compare that with the density of any other object made of real gold (like for example a coin) and see if the quotient was the same. The density of both objects should be the same if they are made of the same material.

6 0
3 years ago
If 3x-1=11, then 2x=?
choli [55]
<span>If 3x-1=11, then 2x=?
</span><span>
 2x + x - 1 = 11
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7 0
3 years ago
An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each
LenaWriter [7]
Pyramid
volume=base area times height times 1/3
or
length times widht times height times 1/3
base area=3
3 times height iems 1/3
height=4
3 times 3 times 1/3=4 times 1/3 times 3=4 times 1
each pyramide=4 in volume
so
x pyramids =alabaster volume
divide by pyramids
x=alabaster/pyrimds
alabaster=576
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divide
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the artis can make 144 pyramids
5 0
3 years ago
Read 2 more answers
I don't know it at all I need help
damaskus [11]
I hope this helps you

7 0
3 years ago
. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y
tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

x+y=5,000

x=5,000-y  -----> equation A

x \geq 0.25(5,000)

x \geq \$1,250 -----> inequality B

y \leq 0.50(5,000)

y \leq \$2,250 -----> inequality C

x \geq \frac{1}{2}y -----> inequality D

Substitute equation A in the inequality D and solve for y

5,000-y \geq \frac{1}{2}y

Multiply by 2 both sides

10,000-2y \geq y

Multiply by -1 both sides

-10,000+2y \leq -y

Adds y both sides

-10,000+2y+y \leq 0

-10,000+3y \leq 0

adds 10,000 both sides

3y \leq 10,000

Divide by 3 both sides

y \leq \$3,333.33 -----> inequality E

therefore

<em>Solve for y</em>

we have

y \leq \$2,250 -----> inequality C

y \leq \$3,333.33 -----> inequality E

The solution of inequality C and inequality E is

y \leq \$2,250

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

so

x \geq \$2,750 -----> inequality F

<em>Solve for x</em>

we have

x \geq \$1,250 -----> inequality B

x \geq \$2,750 -----> inequality F

The solution of inequality B and inequality F is

x \geq \$2,750

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0
3 years ago
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