The only 5-digit numbers that do the job are 21,143 and 28,847 .
So, either
a = 1 and
b = 3
or
a = 8 and
b = 7 .
The sum of the values that 'a' can have is (1 + 7) = <em>8</em> .
I shall cherish every one of your generous 5 points.
Answer:
Step-by-step explanation:
y/7.5=11/10
y=7.5(11)/10
y=8.25mm
58 to x should be the ratio of 6/3 or 1/2 if they are similar.
Find out how much bigger 58 is compared to 6, the matching side on the other polygon.
58/6 = ~9.7
The x side should be half of this, just like it is on the smaller polygon.
9.7/2 = 4.85
4.85 x 3 = 14.55
Complete Question
Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink
Answer:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
Step-by-step explanation:
Let the cost of
1 donut = x
300ml carton of juice = y
Max buys six donuts and a 300ml carton of juice for $3.50
6x + y = 3.50.....Equation 1
y = 3.50 - 6x
Susie buys four donuts and two 300ml carton of juice for $3.00
4x + 2y = 3...... Equation 2
Ben buys eight donuts and one 300ml carton of juice for $6.50
8x + 5y = 6.50......Equation 3
We substitute 3.50 - 6x for y in Equation 2
4x + 2y = 3...... Equation 2
4x + 2(3.50 - 6x) = 3
4x + 7 - 12x = 3
Collect like terms
4x - 12x = 3 - 7
-8x = -4
x = -4/-8
x = $0.50
Solving for y
y = 3.50 - 6x
y = 3.50 - 6(0.50)
y = 3.50 - 3.00
y = $0.50
Therefore:
The cost of
1 donut = x = $0.50
300ml carton of juice = y = $0.50
