if you needed to triple a recipe, would the ratio change? Explain.
7 teachers share 1 liter of cappuccino. If you make 3 litters of cappuccino, how many teachers can drink cappuccino? If you need to make enough cappuccino for 74 teachers, how many liters would you need to make?
If 3 liters of cappuccino are made, 21 teachers can drink it. To have enough cappuccino for 74 teachers, approximately 10.57 liters would be needed.
Explanation:To answer the first part of the question, we can use a proportion to find out how many teachers can drink cappuccino if 3 liters are made. Since 7 teachers share 1 liter, we can set up the proportion: 7 teachers / 1 liter = x teachers / 3 liters. Solving for x, we get x = 21 teachers. Therefore, 21 teachers can drink cappuccino.
For the second part of the question, we can use a similar proportion to find how many liters of cappuccino would be needed for 74 teachers. From the previous proportion, we know that 7 teachers share 1 liter. So, we can set up the proportion: 7 teachers / 1 liter = 74 teachers / x liters. Solving for x, we get x = 10.57 liters. Therefore, you would need to make approximately 10.57 liters to have enough cappuccino for 74 teachers.
How can area models be used to solve multiplication problems?
Area models can be used to solve multiplication problems by representing the problem visually using rectangles or squares. The areas of these shapes can then be calculated to find the product.
Explanation:Area models can be used to solve multiplication problems by representing the problem visually using rectangles or squares. The areas of these shapes can then be calculated to find the product.
For example, if we want to multiply 3 by 4, we can create a rectangle with a length of 3 units and a width of 4 units. The area of this rectangle is 3 * 4 = 12 units squared, which is the product of the two numbers.
Area models can also be used to solve more complex multiplication problems by breaking them down into smaller areas and summing them up.
Area models are visual representations of multiplication that use rectangular shapes to represent the dimensions of the problem. They help students better understand the concept of multiplication and visualize how it works.
Explanation:An area model is a visual representation of multiplication that uses rectangular shapes to represent the dimensions of the problem.
For example, if you want to multiply 3 by 4, you can draw a rectangle with a length of 3 units and a width of 4 units.The area of the rectangle will then give you the product of the multiplication, which in this case is 12.Area models can also be used to solve more complex multiplication problems by breaking them down into smaller, easier-to-visualize steps.By using area models, you can better understand the concept of multiplication and visualize how it works.
Community Gym charges a $40 membership fee and a $50 monthly fee. Workout Gym charges a $210 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
To find the number of months it will take for the total amount of money paid to both gyms to be the same, set up an equation and solve for x. After 17 months, the total amount paid to both gyms will be $870.
Explanation:To find the number of months it will take for the total amount of money paid to both gyms to be the same, we need to set up an equation and solve for x. Let x represent the number of months.
For Community Gym, the total cost after x months is: 40 (membership fee) + 50x (monthly fee).
For Workout Gym, the total cost after x months is: 210 (membership fee) + 40x (monthly fee).
Setting up the equation:
40 + 50x = 210 + 40x
10x = 170
x = 17
After 17 months, the total amount of money paid to both gyms will be the same, which is $870.
what is the distance between 16 and 52
Domain, first element, and y -value all have the same meaning.
True Or False
Answer:
False
Step-by-step explanation:
Hi there!
The domain refers to the possible x-values in a function.
The first element refers to the first member in a set of data (example: In the set {1, 2, 3}, 1 is the first element).
The y-value of a coordinate refers to the y-coordinate (example: In the ordered pair (4,9), 9 is the y-value or y-coordinate).
Therefore, the three terms all have different meanings.
I hope this helps!
Which medication should be immediately started when a client has an anaphylactic attack?
What is the value of negative 3.25 times negative 1.56
The Jensen family took a trip in September. Sally is calculating the gas mileage in miles per gallon for her dads SUV. When he fills the tank ,her dad records the miles on the SUV as 24033. Her dad pays $83.58 I fill up the empty gas tank of the SUV. At the destination, there was a quarter tank of gas left in the vehicle and the miles where recorded as 24,297. Use a ratio equation to determine the gas mileage in miles per gallon for the trip. Round your answer to the nearest whole.
Answer:
The gas mileage formula in miles per gallon (mpg) is:
[tex]gas mileage=\frac{miles driven}{gallons used}[/tex] (1)
We know that Sally’s dad filled the tank when it was empty and the miles recorded in the SUV were 24033 miles.
We also know that at the destination, there was a quarter tank of gas left in the vehicle and the miles were recorded as 24297 miles.
This means that the miles driven during the whole trip were 894 miles:
[tex]24927 miles-24033 miles=894 miles[/tex]
If at the beginning the tank was full and at the end is left with a quarter tank ([tex]\frac{1}{4}[/tex]), this means that the car wasted [tex]\frac{3}{4}[/tex] of the tank:
[tex]\frac{4}{4}-\frac{1}{4}=\frac{3}{4}[/tex]
Now, SUVs come in so many different sizes and models, hence it is difficult to assume an average size for a SUV gas tank. It may vary from the smaller ones that hold 16.5 gallons to larger SUVs that hold from 28 to 33.5 gallons.
In this case let’s assume that the tank holds 28 gallons
Then, if 1 tank holds 28 gallons, [tex]\frac{3}{4}[/tex] of a tank holds 21 gallons.
Knowing this, let’s apply the mileage formula ( equation 1):
[tex]\frac{894 miles}{21 gallons}=42.571mpg[/tex]
If we round the result we have, the gas mileage in miles per gallon for the Jensen’s SUV is 43mpg
A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = -16t2 + 112t + 30 How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary
Answer:
3.5 s; 226 ft is correct.
Step-by-step explanation:
if z=2 what is z+6? This is a practice question.
A produce stand sells a basket of 12 apples for $6. If the unit price of an apple is the same , what is the price for a basket of 18 apples?
line r is parallel to line t. find m<6. The diagram is not to scale
Two stores sell the same television for the same original price. Store A advertises that the television is on sale for 30% off the original price. Store B advertises that it is reducing the television’s price by $250. When Allison compares the sale prices of the television in both stores, she concludes that the sale prices are equal. Let p represent the television’s original price. Which equation models this situation? 0.7(p−250)=p 0.3=p−250 0.7p=p−250 0.3p = p + 250
30% off so sale price is 70%
so 0.7p = p-250
Answer:
Musiclover10045 is correct! I took the test and the correct answer is in fact:
0.7p = p - 250!
Thanks, mate!
Cheers!
7x + 55 ≥ 300. Solve this inequality for x.
identify a number of pages that the student could read per day in order to have at least 300 pages of the novel read in a week.
The number of pages is 35
To solve the inequality 7x + 55 ≥ 300 for x, we first subtract 55 from both sides to isolate the term with x:
7x + 55 - 55 ≥ 300 - 55
7x ≥ 245
Divide by 7 to solve for x:
x ≥ 35
This means the student needs to read at least 35 pages per day to have 300 pages of the novel read in a week.
0.249 in expanded form
Final answer:
The expanded form of the number 0.249 is the sum of each digit multiplied by its place value, which is 0.2 + 0.04 + 0.009.
Explanation:
The question asks to write the number 0.249 in expanded form. The expanded form of a number is the sum of each digit multiplied by its place value. For the number 0.249, the expanded form is:
2/10 + 4/100 + 9/1000
This can also be written as:
0.2 + 0.04 + 0.009
Breaking down the number 0.249 into its decimal place values helps one understand how each digit contributes to the overall value of the number.
How do you complete a square root problem?
An employee earns $255 for 15 hours of work. Assuming he is paid by the hour, how much will he earn in 8 hours?
The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the length of the other leg.
Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?
explain why two employees at a company, earning the same gross pay, might have different net pays.
Step-by-step explanation:
Gross pay:
Gross pay can be define as the wage before paying any taxes and all other deductions.
Net pay:
Net pay can be define as the wages after paying all taxes and all other deductions.
So we can say that
Gross pay = Net pay + taxes and all other deductions
So from above equation we can say that ,even two employees have same gross pay but can have different net pays .Because maybe they are paying different taxes and other deductions.
On a large map, the distance from Austin, Texas, to Milwaukee, Wisconsin, is 13.7 inches. The actual distance is about 1,000 miles. What is the distance on the same map from Waco, Texas, to Plano, Texas if the actual distance is about 100 miles? Round your answer to the nearest tenth.
100 POINTS IF YOU ANSWER CORRECTLY Rotate these coordinates 180 around the origin and then translate 6 units to the left.
Hello!
When you flip the coordinates and move them 6 units to the left your coordinates would be: (-4, 8) (0, 8) (5, 1) (1, 3)
All movies until 4:00 p.m require a discount ticket, and all movies after 4:00 p.m require a regular-price ticket.Each theater at the movieplex seats 98 people. What is the least number of showings the theater could have shown after 4:00 p.m last Saturday ? Explain how you found your answer. The discount ticket is 208 the regular price is 1248
a car travels an average speed of 64 miles per hour. how many miles does it travel in 5 hours and 15 minutes?
water stations will be placed every 400 meters of a 5-kilometer race how many water stations are needed?
given f(x) =-3x-2 find the following
The value of function f(x)=-3x-2 are as follows:
a. f(3) = -11
b. f(-1) = 1
c. f(-2) = 4
To find the values of the function \(f(x) = -3x - 2\) at specific points, substitute the given values of \(x\) into the function:
a. f(3)
Substitute x = 3 into the function:
f(3) = -3(3) - 2 = -9 - 2 = -11
b. f(-1)
Substitute x = -1 into the function:
f(-1) = -3(-1) - 2 = 3 - 2 = 1
c. f(-2)
Substitute x = -2 into the function:
f(-2) = -3(-2) - 2 = 6 - 2 = 4
So, the values of the function f(x) = -3x - 2 at x = 3, x = -1, and x = -2 are:
a. f(3) = -11
b. f(-1) = 1
c. f(-2) = 4
For more such questions on Functions :
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Que. Given f(x) = -3x – 2, find the following.
a. f(3)
b. f(-1)
c. f(-2)
The number 9 has only one prime Factors, 3. What is another number less than 50 with only one prime factor
brett hoped to get 100 pumpkins from his garden this year. since the weather was favorable 20% more pumpkins grew then he xpected. unfortuntely animals ate 30% of all the pumpkins the grew A) how many pumpkins were left B) is the final number of pumpkins more than or less then he hoped?
Evaluate 10s 3t for s = 3 and t = 7.