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3 years ago

5x times 4y equal to 3x times 5y

Mathematics

1 answer:

makvit [3.9K]3 years ago

3 0

I’m guessing you want oh know what x and y are?

If so isolate the variable and do the inverse of the operation

If not please correct me ^^

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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is

eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

$1\ nickel=\$0.05$

$1\ dime=\$0.10$

$0.05x+0.10y=9.45$ ------> equation A

$0.05x+0.10(2y)=16.65$

$0.05x+0.20y=16.65$ ------> equation B

<em>Solve the system by substitution</em>

we have

$0.05x+0.10y=9.45$ ------> equation A

$0.05x+0.20y=16.65$ ------> equation B

Multiply both equations by 100 both sides

$5x+10y=945$ ----> $5x=945-10y$ --> equation C

$5x+20y=1,665$ ----> equation D

substitute equation C in equation D

$(945-10y)+20y=1,665$

solve for y

$945+10y=1,665$

$10y=1,665-945$

$10y=720$

$y=72\ dimes$

Find the value of x

$5x=945-10y$

$5x=945-10(72)$

$5x=225$

$x=45\ nickels$

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0

3 years ago

To convert centimeters to meters, you must: by what number? multiply divide 10 100 1,000

Mariana [72]

Divide by 100
-----------------

7 0

3 years ago

Luke makes fruit cakes for a stall at a village fete. It costs Luke £1.80 for

zalisa [80]

Answer:

2.43

Step-by-step explanation:

1.80 x 0.35 + 1.80

5 0

3 years ago

9 ( 3x + 5y - 11x + 8 )

harina [27]

Answer: -72x+45y+72

Step-by-step explanation:

7 0

2 years ago

40% of what number is 24

liq [111]

40% of what number is 24

24 : 40 * 100 =

60 is your answer

3 0

2 years ago