Answer:
see explanation
Step-by-step explanation:
Expressing as equations
9x + 10y = 297 → (1) ← that is B
8x + 5y = 194 → (2) ← that is D
To solve the system of equations, multiply (2) by - 2
- 16x - 10y = - 388 → (3)
Add (1) and (3) term by term to eliminate the term in y
(9x - 16x) + (10y - 10y) = (297 - 388), that is
- 7x = - 91 ( divide both sides by - 7 )
x = 13
Substitute x = 13 into either of the 2 equations and solve for y
Using (1), then
(9 × 13) + 10y = 297
117 + 10y = 297 ( subtract 117 from both sides )
10y = 280 ( divide both sides by 10 )
y = 28
Cost of a small box of candy = $13
Cost of a large box of candy = $28
Using proportions, it is found that they must win 19 of their next 30 games.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
We want a win-to-loss proportion of 2:1, which is equivalent to a win-to-total proportion of 2:3. We have that:
- The team will have won 5 + x games.
- The team will have played 36 games.
Hence:
![\frac{5 + x}{36} = \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%20%2B%20x%7D%7B36%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D)
3(5 + x) = 72
15 + 3x = 72
3x = 57
x = 19.
The Rangers must win 19 of their next 30 games.
More can be learned about proportions at brainly.com/question/24372153
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The expanded form is: 800,000,000+70,000,000+ 6,000,000
Answer:
a. 1.25 laps per min
b. .8 min per lap
c. 17.6 minutes
Step-by-step explanation: