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Answer:
- 30m +50 = 20m +100
- m = 5
- yes. symmetric property of equality.
Step-by-step explanation:
1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...
c = 20m +100
gives you ...
30m +50 = 20m +100
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2. Adding -50-20m to both sides gives ...
10m = 50
m = 5 . . . . . . . divide by 10
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3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...
c = 30m +50
to get ...
20m +100 = 30m +50
This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).
You get the same solution.
Answer:
Step-by-step explanation:
‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so
a<-1
Well for every 9 Tuesday’s that she goes, she gets 3, so since 9•4 equals 36, then to solve you multiply 3 times 4, equals 12, so she will most likely get 12 coupons in the next year
Price for a radio = $ 40 for supply 90 radios in a month.
Ratio of increase in price to the number of radios supplies in a month 4:8 that is 1:2.
New unit price given = $76.
Difference in unit price given in starting and New unit price = 76-40=$36
So, increase in unit price = $36.
Let us assume number of supplied increased = x radios for increase in unit price $36.
So, we can setup a perportion as,
1/2 = 36/x.
On cross multiplication, we get
1*x = 2*36
x= 72.
So, 72 is the increased number of radios in 90 radios.
That is 72+90 = 162 radios each month.
Therefore, 162 radios are supplied if their per unit price is $76.
