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3 years ago

Write the set by listing its elements.

Mathematics

1 answer:

IceJOKER [234]3 years ago

7 0

Step-by-step explanation:

set o= o

set t= t

those are the set of letters used to form the set

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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

Solve the system by substitution

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

$5x=945-10y$

$5x=945-10(72)$

$5x=225$

$x=45\ nickels$

Alternative Method

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

Whats the answer to this

ValentinkaMS [17]

Answer:

Step-by-step explanation:

sweet

7 0

3 years ago

Plz help me with it !

Kipish [7]

Answer: $\bold{-7+2\sqrt{14}+5\sqrt{7}-10\sqrt{2}}$

Step-by-step explanation:

$\dfrac{\sqrt7-5}{\sqrt7+\sqrt8}\bigg(\dfrac{\sqrt7-\sqrt8}{\sqrt7-\sqrt8}\bigg)=\dfrac{7-2\sqrt{14}-5\sqrt{7}+10\sqrt2}{7-8}=\dfrac{7-2\sqrt{14}-5\sqrt{7}+10\sqrt2}{-1}\\\\\\=\boxed{-7+2\sqrt{14}+5\sqrt{7}-10\sqrt2}$

8 0

3 years ago

Which is greater, |-6.3| or |-19\20|

MrMuchimi

|6.3| because the lines mean absolute value. Take the positive number values of each number and compare them. 6.3 vs 19/20. 19/20 is 0.95 so 6.3 is bigger.

7 0

3 years ago

gas mileage is the number of miles you can drive on a gallon of gasoline a test of a new car result in 560 miles on 10 gallons o

jonny [76]

Answer:

you could drive 3600 miles on 60 gallons and 60 miles gas mileage

Step-by-step explanation:

560/10 as a fraction *6/6 as a fraction = 3600/60

7 0

3 years ago