Multiply each number by 4
1*4= 4
4*4=16
16*4= 64
64*4= 256
256*4= 1024
Answer: 4
Answer:
60000 square miles
Step-by-step explanation:
Step 1: Great lakes beginning with consonant: Huron, Michigan, Superior
Great lakes beginning with vowel: Ontario, Erie
Step 2: Estimate the areas to nearest thousand.
Estimation of area of Huron = 23000 square miles
Estimation of area of Michigan = 22000 square miles
Estimation of area of Superior = 32000 square miles
Total area of Great lakes beginning with a consonant = 23000 + 22000 + 32000 = 77000 square miles
Estimation of area of Ontario = 7000 square miles
Estimation of area of Erie = 10000 square miles
Total area of Great lakes beginning with a vowel = 7000 + 10000 = 17000 square miles
Step 3: Difference between the total area of Great lakes beginning with a consonant and the vowel
77000 – 17000 = 60000 square miles
9514 1404 393
Answer:
A: x + y = 55; y - x = 25
B: 15 minutes running
C: no
Step-by-step explanation:
<h3>Part A:</h3>
The two equations relate to the total number of minutes, and to the difference specified in the problem statement.
x + y = 55 . . . . . . total time is 55 minutes
y = x + 25 . . . . . . dances 25 minutes longer
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<h3>Part B:</h3>
We can substitute for y in the first equation to find the value of x, the time spent running.
x + (x +25) = 55
2x = 30 . . . . subtract 25
x = 15 . . . . . . divide by 2
Jackie spends 15 minutes running each day.
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<h3>Part C:</h3>
The value of y from is found using the second equation:
y = x +25 = 15 +25 = 40
Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.
3x + 2y = 10 ....multiply by -4
12x + 5y = 25
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-12x - 8y = -40 (result of multiplying by -4)
12x + 5y = 25
------------------add
-3y = - 15
y = -15/-3
y = 5
3x + 2y = 10
3x + 2(5) = 10
3x + 10 = 10
3x = 10 - 10
3x = 0
x = 0
solution is (0,5)
