Answer:
Step-by-step explanation:
<u>Let the numbers be x, y and z</u>
- x + y + z = 24
- 2y = z + 2
- z = x + y
<u>Solving by substitution:</u>
- x + y + z = z + z = 24
- 2z = 24
- z = 12
- 2y = z + 2
- 2y = 12 + 2
- 2y = 14
- y = 7
- z = x + y
- x = z - y
- x = 12 - 7 = 5
<u>The answer:</u>
Answer: See explanation
Step-by-step explanation:
3.) Boys║5║<em>10 ║</em>60
Girls ║7║ 14 ║<em>84</em>
7 × 2 = 14
5 × 2 = 10
5 × 12 = 60
7 × 12 = 84
Hope I helped!
Answer:
79
Step-by-step explanation:
So we have the function:
To find g(9), substitute 9 for t. Thus:
Square:
Subtract:
So, our answer is 79.
And we're done!
Multiply first equation by -5 and 2nd by 2, add them
15x+20y=-100
<u>2x-20y=32 +</u>
17x+0y=-68
17x=-68
divide both sides by 17
x=-4
the x value is -4
9514 1404 393
Answer:
Step-by-step explanation:
When the 12-cup bag of sugar is divided evenly, each baker gets 6 cups.
There is no dot on Noah"s graph for 6 cups of sugar, so you have to extrapolate the given set of dots to see where it might be. You notice that each dot is 1/2 cup of flour more than the one to its left, so you expect that Noah will use 3 cups of flour for 6 cups of sugar.
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Similarly, the table for Lin does not have an entry for 6 cups of sugar. Again, the next entry can be figured using the relations between previous entries. Here, each row for sugar goes up by 1 1/2 cups, so the next row would be 4 1/2 + 1 1/2 = 6 cups. And the rows for flour go up by 1 cup, so the next row for flour (for 6 cups of sugar) would be 4 cups of flour.
Lin will use 4 cups of flour for 6 cups of sugar.
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<em>Alternate solution</em>
The relationship are proportional in both cases, so you can read the value for a smaller amount (2 cups or 3 cups of sugar), then multiply the value by an appropriate multiplier (3 or 2) to get the number of cups of flour for 6 cups of sugar.
Noah: 1 flour for 2 sugar ⇒ 3 flour for 6 sugar
Lin: 2 flour for 3 sugar ⇒ 4 flour for 6 sugar
