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lesya [120]
3 years ago
11

Cassi collects glass bottles for a deposit.She can earn $0.25 for five bottles.Last week she earns $12.75.How many bottles did C

assie turn in.
Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

$0.25 = 5 bottles

Divide both sides by 5:

$0.05 = 1 bottle

Last week: $12.75

12.75 = 0.05b where b represents bottles

Divide all by 0.05 to get b alone:

255 = b

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(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)
klemol [59]

Answer:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

Step-by-step explanation:

Given the expression

\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)

Remove parentheses:  (a)=a

=-t^4-5t^3-10t^2+9t^3+3t^2-1

Group like terms

=-t^4-5t^3+9t^3-10t^2+3t^2-1

Add similar elements        

=-t^4-5t^3+9t^3-7t^2-1         ∵ -10t^2+3t^2=-7t^2

Add similar elements        

=-t^4+4t^3-7t^2-1                  ∵  -5t^3+9t^3=4t^3

Thus, the equivalent expression in simplified form:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

4 0
3 years ago
Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?
ZanzabumX [31]

Answer:

The fraction of cup filled with water is 3/4.

Step-by-step explanation:

Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?

Capacity =  2/3 L

Amount of water = 1/2 L

Fraction of amount of water to the capacity of mug is

\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}

5 0
3 years ago
-3(5)^2-(-2)(-8) simplify
avanturin [10]

To do this, we're going to use the order of operations (PEMDAS):

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

First let's do parentheses, there isn't anythig in parentheses we need to simplify, so we can skip this step.

Next let's look for exponents. I see we have a 5^2 so let's replace that with 5^2=25:

-3(25)-(-2)(-8)

Now let's look for multiplcation. We know that things that are right next to eachother in parentheses represent multiplcation, so let's simply this more:

-3(25)=-75

(-2)(-8)=16

-75-16

And now we're left with a simple problem we know how to solve.

Answer: -91

Hope this helps!

3 0
3 years ago
Find the constant of proportionality that creates a direct proportion between x and y,
Fofino [41]

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

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3 years ago
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mel-nik [20]

Answer:

Step-by-step explanation:

Th correct one is the third box

plz mark me brainliest

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