miguel is making smoothies out of yogurt and juice to serve his friends, and he needs to make 12 cups. the ratio of yogurt to juice is 2 cups to 1 cup. how much yogurt will he use
Answer:
Eight cups of yogurt will be used.
Step-by-step explanation:
Let cups of yogurt used in 12 cups of smoothies be x
Cups of juice used in 12 cups of smoothies = 12- x
The ratio of yogurt to juice is 2 cups to 1 cup that is:
[tex]\frac{Yogurt}{Juice}=\frac{2}{1}[/tex]
Ratio will be maintained through out 12 cups of smoothies:
[tex]\frac{Yogurt}{Juice}=\frac{2}{1}=\frac{x}{12-x}[/tex]
[tex]2(12-x)=1(x)[/tex]
[tex]24-2x=x[/tex]
[tex]24=3x[/tex]
x = 8
Eight cups of yogurt will be used.
What is 8/25 as a percentage?
A mall distribution center processes as many as 150,000 pieces of mail each day. The mail is sent via ground and air. Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load. The loading equipment is able to handle as many as 200 loads per day.
Let x be the number of loads by land carriers and y the number of loads by air carriers. Which system of inequalities represents the situation?
Options:
1500x+2000y>=150,000 x+y>=200
2000x+1500y>=150,000 x+y>=200
2000x+1500y<=150,000 x+y<=200
1500x+2000y<=150,000 x+y<=200 ...?
Answer: [tex]2000x+1500y\leq150,000[/tex]
[tex]\Rightarrow x+\leq200[/tex]
Step-by-step explanation:
Let x be the number of loads by land carriers and y be the number of loads by air carriers.
Given: A mall distribution center processes as many as 150,000 pieces of mail each day.
Each land carrier takes 2000 pieces per load and each air carrier 1500 pieces per load.
[tex]2000x+1500y\leq150,000[/tex]
The loading equipment is able to handle as many as 200 loads per day.
[tex]\Rightarrow x+\leq200[/tex]
Hence, the system of inequalities represents the situation is
[tex]2000x+1500y\leq150,000[/tex]
[tex]\Rightarrow x+\leq200[/tex]
10: A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the bin is 1⁄6 full. How many bolts are in the bin when it’s time to reorder?
I am the number that is divided in a division problem
Evaluate 0!÷1!.
0
1
undefined
Answer:
it is actually not undefined because of the (!), due to this the answer is 1
Step-by-step explanation:
0! 1 5! 120
1! 1 6! 720
2! 2 7! 5,040
3! 6 8! 40,320
4! 24 9! 362,880
those are the factorial calculations
whats 3.428571429 into fraction ...?
Five boxes of candles contain a total of 60 candles. each box holds the same number of candles.
Answer:
60/5=12
Step-by-step explanation:
A first number plus twice a second number is 13 twice the first number plus the second totals 20 find the numbers
A cyclist rides his bike at a rate of 8 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 2 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six months installments. what will be the amount of each monthly payments?
Susan's down payment for the paddle boat is $168, with the remaining $672 divided into six monthly payments of $112 each.
Susan wants to buy a paddle boat for $840. She will pay 20% down and the rest in six monthly installments. To calculate the down payment, we calculate 20% of $840, which is $168.
The remaining amount after the down payment is $840 - $168 = $672. This remainder will be paid in six monthly installments, so we divide $672 by 6 to get the monthly payment amount.
The amount of each monthly payment will therefore be $672 / 6 = $112 per month.
Therefore, as per the above explaination, the correct answer is $112.
richerds checkbook awnsers as of 02/19
B is between A and C, AB = 13.7 and BC = 8.3. Find AC.
A basketball player is 15 ft horizontally from the center of the basket, which is 10 ft off the ground. At what angle should the player aim the ball if it is thrown from a height of 8.2 ft with a speed of 29 ft/s ?
The slope of a line is 0, and the y-intercept is 6. the equation, written as y = 6, represents a horizontal line. true false
The answer is: true.
Here's why:
A slope of 0 indicates a horizontal line, meaning there's no change in y-value as x changes.
A y-intercept of 6 means the line intersects the y-axis at the point (0, 6).
The equation y = 6 represents a constant y-value for any x, which indeed depicts a horizontal line that intersects the y-axis at (0, 6).
Therefore, both the slope and the equation confirm that the line is horizontal.
explain how to solve the following system of equations. what is the solution to the system? 2x+2y+z =-5
3X plus 4Y plus 2Z = zero
X plus 3Y plus 2Z= zero
Suppose that there were a negative correlation between the variables a and b. If b is 90 when a is 8, which of these is most likely to be the value of b when a is 16?
A. 105
B. 120
C. 90
D. 45
Answer:
45 is correct
Step-by-step explanation:
You know that a certain trait occurs in 30% of the population. You want to know how many individuals you have to draw from the population, on average, to get three subjects with the trait.
To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution. The average number of trials until the third success can be calculated by dividing 1 by the probability of success.
Explanation:To find out how many individuals you have to draw from the population, on average, to get three subjects with the trait, you can use the geometric distribution.
The probability of success (finding an individual with the trait) is 30% or 0.30, and the probability of failure is 70% or 0.70.
To calculate the average number of trials until the third success, you divide 1 by the probability of success:
1 / 0.30 = 3.33
Therefore, on average, you would have to draw from the population about 3.33 individuals to get three subjects with the trait.
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2x+y=3, 5x-2y=12 how to solve this
The Shelby University rose garden is a rectangular shape with an area of 192 square feet. The dimensions of the garden are x^2 feet wide by x^2– 61 feet long. How wide is the garden?
a. 3 feet c. 64 feet
b. 8 feet d. 131 feet
...?
When you add the number 1, and then add 1, what do you get??
Which is greater 2 gallons or 8 liters?
The polynomial x3 + 8 is equal to
(x + 2)(x2 – 2x + 4).
(x – 2)(x2 + 2x + 4).
(x + 2)(x2 – 2x + 8).
(x – 2)(x2 + 2x + 8)
Answer:
A
Step-by-step explanation:
other guy said it and I got it right.
Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L? Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel on a full tank of 50 L?
AT THANKSGIVING DINNER, EMMA'S FAMILY ATE 1/3 OF A PUMPKIN PIE. WHAT FRACTION OF THE PIE WAS LEFT OVER?
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Total pumpkin in fraction = 1
= 1 - 1/3
= 2/3
The fraction of the pie left over is 2/3
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Amount of pumpkin pie eaten by the family = 1/3
Let the total pumpkin in fraction = 1
Now,
The fraction of the pie left over.
= 1 - 1/3
= (3 -1)/ 3
= 2/3
Thus,
The fraction of the pie left over is 2/3
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I am the method of dividing in which multiplies of the divisor are subtracted from the dividend
a student finds the slope of a line between (14,1) and (18,17). she writes 1-17/18-14 what mistake did she make?
Answer:
Mistake was in denominator.
Step-by-step explanation:
If a line passes through two points ( a, b ) & ( c, d )
Then slope of this line will be = [tex](\frac{d-b}{c-a})[/tex]
Now we come to the question.
a student finds the slope of a line passing through ( 14, 1 ) and ( 18, 17 ) as
slope = [tex](\frac{1 - 17}{18-14})[/tex]
This formula is not the form of [tex](\frac{d-b}{c-a})[/tex]
Accurate answer should be
slope = [tex](\frac{1-17}{14-18})[/tex]
So mistake was in denominator.
Which of the following is the expansion of (2m - n)7?
Answer: 128m⁷ - 448m⁶n + 672m⁵n² - 560m⁴n³ + 280m³n⁴ - 84m²n⁵ + 14mn⁶ - n⁷
Step-by-step explanation:
2023 edge
Find the coordinates for the vertex of the graph of the function y = 3x^2- 12x + 12
Solve the inequality.
y – 5 ≥ 11
The solution to the inequality y - 5 ≥ 11 is y ≥ 16.
To solve the inequality y - 5 ≥ 11,
we need to isolate the variable y on one side of the inequality sign.
Adding 5 to both sides of the inequality, we have:
y - 5 + 5 ≥ 11 + 5
Simplifying, we get:
y ≥ 16
Therefore, the solution to the inequality y - 5 ≥ 11 is y ≥ 16.
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