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Reptile [31]
3 years ago
9

Proportional relationships! Need help on!

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0
Direct variation has this equation:

y = kx

where k is the constant of variation

y = -5 ; x = -15

y = kx
-5 = k(-15)
-5/-15 = k
1/3 = k

Choice D. y = 1/3 x 
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A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85 how many quarters are in the piggy bank in you
Lesechka [4]
The main idea here is to "translate" the words into maths. 
First we need to identify the unknowns and label these. 

We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters

Now lets write equations from the written problem. 
We know that there are 36 coind total, thus: 
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents. 
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus: 
10x+25y=585

We have two equations and two unknowns now, that needs to be solved to get the answer. 

x + y = 36
10x+25y=585


4 0
3 years ago
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Please help due ASAP <br> I really need help
elena55 [62]
C because it is icoceles.
6 0
3 years ago
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The sum of two number is 27. One number is 3more than the other number. Write and solve a system of equations to find the two nu
Sladkaya [172]

Answer:

One number is 15 and 3 less than that is 12 so that is your other number

3 0
3 years ago
Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

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And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

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When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

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So then we multiply all of these simplified parts together:

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So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

3 0
3 years ago
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Since it starts at 50 and goes to 35....it is a decrease since the amount is going down, or getting smaller.  To find the percent, first find the difference 50-35 = 15; then divide by the initial amount of 50.  So, 15/50 = 0.3, and then convert that to a percent by multiplying by 100.  Therefore the percent decrease is 30%
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