When making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all?
Answers
She can make 48 cups juice
Further ExplanationOne variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex]\large{\boxed{\bold{ax=b}}[/tex]
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large{\boxed{\bold{ax+bx=c}}}[/tex]
x, y = variable
Let x = cups of concentrate
w = cups of water
Jackie used 5 times as much water as concentrate.If we translate this sentence into equation:
w = 5x .. equation 1
There were 32 more cups of water than concentrate.If we translate this sentence into equation:
w = 32+x .. equation 2
We can make a comparison from equation 1 and 2
[tex]\displaystyle \frac{water}{concentrate} =5[/tex]
[tex]\displaystyle \frac{32+x}{x} =5[/tex]
[tex]\displaystyle 32+x=5x[/tex]
[tex]\displaystyle 32=4x[/tex][tex]\large{\boxed{x=8\:cups}}[/tex]
so x = concentrate = 8 cups
then water :
[tex]\displaystyle water={5\times8}[/tex]
water = 40 cups
Total juice she can make :
= 40 + 8 cups
= 48 cups
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Keywords : one variable, linear equation , juice, cups, concentrate, water
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Both trains will leave the station together again in B. 36 minutes.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We have been given that "A" train leaves a subway station every 12 minutes. An "E" train leaves every 9 minutes.
If both trains just left the station on parallel tracks, then both leave the station together again;
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The LCM of 12 and 9
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Which one don't belong; which expression does not have a two-digit quotient. 519÷6, 915÷7, 439÷7, and 812÷9
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We need to find which of the expressions does not have a two digit quotient.
The only expression which does not have a two digit quotient is [tex]\dfrac{915}{7}[/tex].
Let us check each expression
[tex]\dfrac{519}{6}[/tex]
Dividing each by three
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Hence, the only expression which does not have a two digit quotient is [tex]\dfrac{915}{7}[/tex].
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Given :
A motorboat takes 40 minutes to travel 20 miles downstream.
When the boat is going downstream current helps the boat and hinders when the boat is going up.
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[tex]\rm s = \dfrac{20}{40}=0.5\;miles \;per\;minute=30\;mph[/tex]
The speed of the boat going upstream is:
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So, the speed of the current adds when the boat is going downstream and subtracted when the boat is going upstream.
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7(y-8) does not equal 7y+42
If you expand 7(y-8), you should get 7y-56
So: 7(y-8)=7y-56
The equation 7(y-8)=7y+42 results in an implausible mathematical statement, meaning it has no valid solutions.
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Answers
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
The amount of the tip of the total bill will be $10.53. Then the correct option is C.
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Nina paid the bill for dinner with her family.
The total cost of the food was $65, and the restaurant added an 8 percent sales tax, $5.20, to the bill.
Then the amount of the bill will be
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Tip amount = $10.53
The amount of the tip of the total bill will be $10.53.
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