3x+5y=10. 5x+7y=10 system of equations

Answers

Answer 1
Answer: 3x + 5y = 10....multiply by 5
5x + 7y = 10 ...multiply by -3
------------------
15x + 25y = 50 (result of multiplying by 5)
-15x - 21y = -30 (result of multiplying by -3)
-----------------add
4y = 20
y = 20/4
y = 5

3x + 5y = 10
3x + 5(5) = 10
3x + 25 = 10
3x = 10 - 25
3x = -15
x = -15/3
x = -5

solution is (-5,5)

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Conrad has a collection of three types of coins: nickels,dimes,and quarters.There are five more nickels than quarters but four times as many dimes as quarters.If the entire collection is worth $5.85,how many nickels,dimes,and quarters are there?

Answers

n=number of nickles
d=number of dimes
q=number of quarters
use cents for everything

total value=585
5n+10d+25q=585
divide everybody by 5 to simplify
n+2d+5q=117

we have

nicles are 5 more than quarters
n=5+q

4 times as many dimes as quarters
d=4 times q
d=4q

sub those in
5+q+2(4q)+5q=117
5+6q+8q=117
5+14q=117
minus 5
14q=112
q=8

sub back
n=5+q
n=5+8
n=13

d=4q
d=4(8)
d=32


13 nickles
32 dimes
8 quarters
divide both sides by 22

What is the relationship between the 6s in the number 7,664?

Answers

if 7664 is divided by 6,
7664 / 6
1277. 33

1277.33 time of 6 is equal to 7664

to make a fruit salad Marvin mixes 1 3/4 cups of diced peaches with 2 1/4 cups of diced pears how many cups of peaches and pears are in a fruit salad

Answers

4 cups....

First, change the proper fractions to improper fractions. 

2 1/4 = 9/4 

1 3/4 = 7/4

Then, add the improper fractions. 

9             7                16
---     +   ----     =     ---------   =   4
4            4                  4

4 cups of peaches and pears 

What two numbers multiply to 210 and add to -29

Answers

factor 210 and add them factors
remember that both have to be negative

-1-210=not -29
-2-105=not -29
-3-70=not -29
-5-42=not -29
-6-36=not -29
-7-30=not -29
-10-21=not -29
-15-14=-29

answer is -15 and -14
-7-30=not -29



Decrease 42 by 15%.
it's for maths and it's decreasing percenages

Answers

OK so 1st you need to do 42 times .15 = 6.3 then you need to subtract that number from 42 which is 35.7 so that is your answer! I hope it helps :) 

Ramona creates 16 paintings each month. About how many paintings will she create in 3 years?

Answers

she will have 576 paintings in 3 years
U know that there is 12 months in a year and she creates 16 each month so 12x16=192 and then u want to multiply 192 by 3 because 192 is the amount she makes in a year