Final answer:
Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies. This is calculated by tripling the original required amount of 7/8 cup of oil needed for 2 dozen brownies.
Explanation:
Colton's recipe for brownies specifies that 7/8 cup of vegetable oil is needed to make 2 dozen brownies. To find out how much oil is required for 6 dozen brownies, we need to calculate the amount of oil for triple the original quantity since 6 dozen is three times 2 dozen. First, we set up a proportion where 2 dozen corresponds to 7/8 cup of oil.
Mathematically, we can find the amount of oil needed for 6 dozen by multiplying the amount of oil for 2 dozen by 3 (since 6 is three times larger than 2):
Multiply 7/8 cup by 3.
7/8 × 3 = 21/8 cups.
Convert 21/8 cups to a mixed number to get 2 5/8 cups.
Therefore, Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies.
(sin2a+sin4a)²+(cos2a+cos4a)²=4cos²a
Deirdre doubled her savings account balance of $100 . Then she withdrew $30 to buy some new clothes. Represent this situation with a numerical expression.
In an orchestra there are 42 with Woodwind players to 56 brass players what is the ratio of woodwinds to brass written as a fraction in simplest form
The seventh-grade band is going to sell baked goods at the craft show. The cost to rent a booth at the craft show is $60. The band plans to charge $1.50 per baked good. How many baked goods must they sell in order to profit at least $200?
The number of baked goods to have at least a profit of $200 is
94 or more.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of renting a booth = $60
Charge per baked good = $1.50
The number of baked goods to have a profit of at least $200.
60 + 1.50x ≥200
Solve for x.
60 + 1.50x ≥ 200
Subtract 60 on both sides.
1.50x ≥ 200 - 60
1.50x ≥ 140
Divide both sides by 1.50
x ≥ 140/1.50
x ≥ 93.33
This means,
94 or more baked goods.
Thus,
94 or more baked goods need to be sold to have a profit of at least $200.
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Paula received a paycheck of $585. This amount reflects her weekly earnings less 10% of her earnings for deductions. How much was she paid before deductions were taken out?
Lightning strikes Earth 1000 times in 10 seconds. How many times does it strike per second?
Lightning strikes the earth 100 times per second.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, lightning strikes earth 1000 times in 10 seconds.
So, mathematically,
10 seconds = 1000 times
1 second = (1000/10) times
1 second = 100 times
Hence, lightning strikes the earth 100 times per second.
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use the decimal model to find the product 3×0.33
Two bands are marching in a parade there are 32 people in the first band 40 people in the second band the same number of people are marching in each row in each band what is the greatest number of people that could be marching in each row
a.Two friends share 76 blueberries
To count the blueberries,they can put them into small bowls of 10 blueberries.Draw a picture to show how the blueberries can be shared equally.Will they have to split apart any of the bowls of 10 bluberries when they share them?
To divide 76 blueberries equally into small bowls of 10 blueberries, 7 bowls will be needed. They will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each bowl.
Explanation:To divide 76 blueberries equally into small bowls of 10 blueberries, we will need 7 bowls. Each bowl will contain 10 blueberries, with 6 blueberries left over. Since they cannot split apart a bowl of 10 blueberries, they will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each of the 7 bowls. This way, they will have shared the blueberries equally.
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Car A travels 180 miles in 7 hours. Car b travels 350 miles in 4 hours. Car c travels 584 miles in 15 hours. Which car has fastest average speed?
Answer:
Car B has the fastest average speed 87.5/ per hours
Step-by-step explanation:
Car A
180/7 = 25.714
Car B
350/4= 87.5
Car C
584/15= 38.93
What is 126 divided by 2?
the answer is 63
126/2=63
The quotient of 126 divided by 2 is 63.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, A statement that the number 126 is being divided by the number 2.
We know, 126 is an even number so it is definitely divisible by 2 without remainder.
Now, (126/2) = 63 (as 2×6 is 12 and 2×3 is 6).
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HELP!!
What is the solution of the system?
Use the substitution method.
{y+7=3x
6x−2y=12
(a.) (14, 12)
(b.) (12, 14)
(c.) There is no solution.
(d.) There are an infinite number of solutions.
I am making an acrostic poem and I am using the word "slope". Anyone have any ideas?
78% as a fraction and in simplest form
A baker wants to put 3 3/4 pounds of apples in each pie she makes. She purchased 52 1/2 pounds of apples. How many pies can she make
Answer:
UCOSVGLJHBdfbhksd
Step-by-step explanation:
How many fluid ounces are in 3 pints?
Grey 2.4 times as many miles as Emory. If Emery ran 2.08 miles, how many miles did grey run.
Thirty-one is three more than twice a number divided by three
3500 calories for 6 servings of pie ----------- calories per serving
Answer the 2 pictures please and thank you (":
3.25 meters to 2.95 meters
What is the slope of the line whose equation is –48 = 2x − 8y?
convert in to a fraction
I need it done now
Can I have halp with all and an explanation because I am terrible at properties.
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.
1. 4 • (–3) • 5
2. (2.25 • 23) • 4
4. 5 • 12 • (–2)
5. 35(26)(0)
Explanation of simplifying expressions using properties of equality.
Properties of equality are used to simplify expressions. Let's go through each example:
4 • (–3) • 5 = -60 (Multiplicative property of equality) (2.25 • 23) • 4 = 207 (Associative property of multiplication) 5 • 12 • (–2) = -120 (Multiplicative property of equality) 35(26)(0) = 0 (Multiplicative property of equality)Plz Help fast!!
25 points. Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
C. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
or D. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
Answer:
The answer is B
Step-by-step explanation:
I know I'm late to this answer, but I'm just answering it just in case anyone else needs it.
Solve the following word problems by writing an equation and then solving algebraically:
During the 2007 baseball season, Wade was up to bat 10 more times than his teammate Dwight. Dwight batted 17 fewer times than another teammate, Ellis. The three players were up to bat a total of 1650 times. How many times did Ellis come to bat?
I only really need help making an equation because the ones I tried making didn't work.
how to turn 5x+10y=15 in to slope intercept form (y=mx+b)
To convert the equation 5x+10y=15 into the slope-intercept form y=mx+b, subtract 5x from both sides and then divide by 10. The final equation will be y = -0.5x + 1.5, where -0.5 is the slope (m) and 1.5 is the y-intercept (b).
Explanation:Converting the equation 5x+10y=15 into slope-intercept form (y=mx+b) involves isolating y on one side of the equation. The slope-intercept form of an equation is defined such that m is the slope and b is the y-intercept.
Here are the steps to convert this:
Start with the original equation: 5x + 10y = 15.Subtract 5x from both sides to get: 10y = -5x + 15.Divide every term by 10 to isolate y: y = -0.5x + 1.5.The equation is now in the form y = mx + b. Here, the slope, m, is -0.5 and the y intercept, b, is 1.5, which is the point at which the line intercepts the y axis.
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What is the value of x?
x/48 = 12/32
Jim said led 3/4 gallon of lemonade. Dwight sold some lemonade, to.together they sold 1 5/12 gallons.who sold more lemonade, Jim or Dwight
It's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.
Jim sold [tex]\( \frac{3}{4} \)[/tex] gallon of lemonade.
Dwight sold [tex]\( \frac{5}{12} \)[/tex] gallons.
To compare them, we need to find a common denominator, which is 12.
For Jim:
[tex]\[ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \][/tex] gallon.
For Dwight:
[tex]\[ \frac{5}{12} \times \frac{4}{4} = \frac{20}{48} \][/tex] gallon.
Now, it's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.
a factory can make 2,418 footballs in 1 week. How many can it make in 9 weeks
what is the last step when solving the following equation for m? 4m-6=92
Answer: 24.5
Step-by-step explanation:
4m-6 = 92
If we replace m with 24.5
4 x 24.5 = 92
therefore the answer is:
24.5