Answer:
Tomatoes = 11.5
Onions = 2
Step-by-step explanation:
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, , plus five times the number of onions, x, should produce 56 bowls of tomato soup. A different recipe states that two times the number of tomatoes used minus the number of onions used should produce 21 bowls of tomato soup. What is the resulting recipe for the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Let
Tomatoes = x
Onions = y
Recipe 1:
4x + 5y = 56
Recipe 2:
2x - y = 21
4x + 5y = 56 (1)
2x - y = 21 (2)
Multiply (2) by 5
4x + 5y = 56 (1)
10x - 5y = 105 (3)
Add
10x + 4x = 105 + 56
14x = 161
x = 161 / 14
= 11.5
Substitute x =11.5 into
2x - y = 21
2(11.5) - y = 21
23 - y = 21
-y = 21 - 23
-y = -2
y = 2
Tomatoes = 11.5
Onions = 2
Answer:
7÷4=1.75
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Let the two angles be x and y
Then: y = 5x - 6
And x + y = 180° (the of supplementary angle is 180°)
Putting y = 5x - 6
x + 5x - 6 = 180
6x = 180 + 6
6x = 186
x = 186/6
x = 31°
And y = 5x - 6
y = 5(31) - 6
y = 155 - 6
y = 149°
The angles are 31° and 149°
Hey there! :)
Your answer is: Between 11 and 12
11² = 11 × 11 = 121
12² = 12 × 12 = 144
129 is between 121 and 144
Hope this helps :)
3j=21
(Divide by 3 on both sides)
j=7 bottles of juice