Indicate whether the following statements are True (T) or False (F). 1. The difference of two integers is always a natural number. 2. The difference of two integers is always an integer. 3. The sum of two integers is always an integer. 4. The quotient of two integers is always an integer (provided the denominator is non-zero). 5. The ratio of two integers is always positive 6. The product of two integers is always an integer. 7. The quotient of two integers is always a rational number (provided the denominator is non-zero).
Answers
2. True (T)
3. True (T)
4. False (F): Example: 3/4=0.75 which is not an integer
5. False(F) : Ratio can be negative if one but not the other integer is negative. Example: 5 : (-1)= -5
6. True (T)
7. True (T)
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Manuel buys 7.9 pounds of strawberries. Each pound costs $3.89. Which expression gives the best estimate of the cost of the strawberries?(8)($4)(7)($4)(8)($3)(7)($3)
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In the inverse variation function, what happens to the output when the function's input value is divided by 5?
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Convert your answer to percent and round your answer to the nearest tenth(one decimal
place).
Answers
Step-by-step explanation:
FV = PV e^(rt)
6230 = 5000 e^(4 r) <====solve for 'r' = 5.5 %
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______________
-1 2/5÷ -1 3/5
_____________
4 ÷ −4 4/7
_____________
−7/10 ÷ 4/5
Show your work pls
Answers
5/2 x 10/7
50/14; 25/7; Answer: 3 4/7
-7/5 ÷ -8/5
-7/5 x 5/8
-35/40
-(-35/40)
-(-7/8). Answer: 7/8
-7/10 x 5/4
-35/40
-7/8. Answer: -7/8
Hoped this helped
Answers
Answer: Arturo is 14 years
Benny is 17 years
Carlos is 10 years
Step-by-step explanation:
Let x represent the age of Arturo.
Let y represent the age of Benny.
Let z represent the age of Carlos.
The sum of the ages of Arturo, Benny, and Carlos is 41 years. It means that
x + y + z = 41- - - - - - - - - - - - -1
Twice Arturo's age exceeds the sum of Benny and Carlos's ages by one year. It means that
2x = y + z + 1- - - - - - - - - 2
Five years ago, Benny was 2 years more than twice as old as Carlos. It means that
y - 5 = 2(z - 5) + 2
y - 5 = 2z - 10 + 2
y = 2z - 8 + 5
y = 2z - 3
Substituting y = 2z - 3 into equation 2, it becomes
2x = 2z - 3 + z + 1
2x = 2z + z - 3 + 1
2x = 3z - 2
x = 3z/2 - 1
Substituting y = 2z - 3 and
x = 3z/2 - 1 into equation 1, it becomes
3z/2 - 1 + 2z - 3 + z = 41
Multiplying through by 2, it becomes
3z - 2 + 4z - 6 + 2z = 82
3z + 4z + 2z - 2 - 6 = 82
9z - 8 = 82
9z = 82 + 8 = 90
z = 90/9
z = 10
x = 3z/2 - 1 = (3 × 10)/2 - 1
x = 14
y = 2z - 3 = 2 × 10 - 3
y = 17
Answers
Answer:
y= · x²
Step-by-step explanation:
·x²
p=3
·x²
Answers
so 12 cups of rasins to x cups of trail mix
ratio is 12 to x or 12:x
it has to be the same ratio so makek fractions and
2/9=12/x
solve for x
mulitply both sides by x
2x/9=12
multiply both sides by 9
2x=108
divide by 2
x=54
answer is 54 cups of trail mix
I hope this helped