Answer:
<em>-5/4</em>
Step-by-step explanation:
7(x + 4) + 1x - 9 * 2 = -8x + -10
Distribute 7 on left side. Multiply 9 * 2 on left side.
7x + 28 + 1x - 18 = -8x + -10
Combine like terms on left side.
8x + 10 = -8x + -10
Add 8x to both sides. Subtract 10 from both sides.
16x = -20
Divide both sides by 16.
x = -20/16
Reduce the fraction.
x = -5/4
Answer:
As we know:
A nickle is worth 5 cents.
A dime is worth 10 cents.
A quarter is worth 25 cents.
Here is what Robert had:
Number of nickles (a)
Number of dimes (b)
Number of quarters (c)
Here is assumption:
5a + 10b + 25c = 850
a = 3b
c = b + 10
=> 5(3b) + 10b + 25(b + 10) = 850
=> 50b + 250 = 850
=> 50b = 600
=> b = 600/50 = 12
=> a = 3b = 3 x 12 = 36
=> c = b + 10 = 12 + 10 = 22
=> Number of nickles: 36
=> Number of dimes: 12
=> Number of quarters: 22
Hope this helps!
:)
Answer:
Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.
Step-by-step explanation:
The unit rate is the change in y for a 1-unit change in x. Since the graph of a proportion will go through the origin, it is appropriate to look at the y-value for x = 1 (one unit from the origin).
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The ratio of units up to units to the right is also the unit rate when the fraction is reduced to lowest terms. It is a "unit" rate when the denominator of the fraction is 1 unit.
The range (y) is 6, 2, 0, -9
