Let number of fives = x then number of ones = 3x and number of tens = x - 1
so we can create the equation
x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27
also we have the equation
5x + 3x + 10(x - 1) + 20y = 120
18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives
Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties
So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties
Jeff is correct because:
2 sides of a triangle must always be longer than the other side, so:
12+8>19
19+8>12
12+19>8
Since all of them are true, Jeff is correct
<span>We know that the runner completed her first race in 17.8 seconds and that she completed her second race in 16.9 seconds. Then the difference between the first race and the second race is .9 seconds. Now we divide .9 by 17.8 and multiply by 100 to get the percent decrease. We get 5.06%. The percent decrease in her time is 5%.</span>
Answer:
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Step-by-step explanation:
Divide both sides of the equation by 3
Write 7x as a difference
Factor out 3x from the expression
Factor out -4 from the expression
Factor out 2x + 5 from the expression
When the product of factors equals 0 , at least one factor is 0
Solve the equation for X
Move constant to R.H.S and change its sign
Calculate the difference
Divide both sides of the equation by 2
Calculate
Again,
Move constant to RHS and change its sign
Calculate the sum
divide both sides of the equation by 3
Calculate
Hope this helps..
Best regards!!
