Answer:
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Answer:
6 runners finished the race
Step-by-step explanation:
it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3
90 ÷ 3 = 30
Then, 1/5 of the runners remained.
That means you do 30 divided by 5
30÷ 5= 6
so the answer is 6 remaining runners finished the race.
Solve the following system using substitution:
{y + 2.3 = 0.45 x
{-2 y = -3.6
In the second equation, look to solve for y:
{y + 2.3 = 0.45 x
{-2 y = -3.6
-3.6 = -18/5:
-2 y = -18/5
Divide both sides by -2:
{y + 2.3 = 0.45 x
{y = 9/5
Substitute y = 9/5 into the first equation:
{4.1 = 0.45 x
{y = 9/5
In the first equation, look to solve for x:
{4.1 = 0.45 x
{y = 9/5
4.1 = 41/10 and 0.45 x = (9 x)/20:
41/10 = (9 x)/20
41/10 = (9 x)/20 is equivalent to (9 x)/20 = 41/10:
{(9 x)/20 = 41/10
{y = 9/5
Multiply both sides by 20/9:
Answer: {x = 82/9
{y = 9/5
Answer:
Jupiter is so big that all the other planets in the solar system could fit inside it. More than 1,300 Earths would fit inside Jupiter. Jupiter is the fifth planet from the sun. From Earth, it is almost always the second brightest planet in the night sky.
Answer:
Step-by-step explanation:
We first have to write an expression for each of the types of coins in terms of one of them. If he has 8 more dimes than nickels, let's call nickels "x". That means that dimes is "x + 8". The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x. The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8). The total value of these coins is 1.70:
.05x + .10(x + 8) = 1.70 and
.05x + .10x + .8 = 1.70 and
.15x = .9 so
x = 6
That means we have 6 nickels and 14 dimes.
