To maintain an equivalent ratio of sugar to milk when increasing a recipe, multiply both the sugar and milk amounts by the same factor. For example, multiplying by 5 results in a ratio of 15 tablespoons of sugar to 10 tablespoons of milk.
Explanation:If Mark is using a ratio of 3 tablespoons of sugar to 2 tablespoons of milk in a recipe and decides to increase the recipe, we need to maintain the same ratio for any quantity. An equivalent ratio can be found by multiplying both parts of the original ratio by the same number. For example, if Mark wanted to double the recipe, he would use 6 tablespoons of sugar and 4 tablespoons of milk (3 x 2 = 6 and 2 x 2 = 4), keeping the same ratio of 3:2.
To increase the recipe to any desired amount, Mark could use a conversion factor. For instance, if the original recipe makes 1 batch and Mark wants to make 5 batches, he multiplies both parts of the ratio by 5. The new ratio would be 15 tablespoons of sugar to 10 tablespoons of milk, as 3 x 5 = 15 and 2 x 5 = 10. This maintains the sweetness and consistency of the recipe across a larger volume.
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?
____ inches
plz help!
Final answer:
To find the unknown number for the rectangle's dimensions, we set up an equation based on the perimeter formula. Solving this equation, we find that the value of the unknown number is 12 inches.
Explanation:
To solve this problem, we need to find the unknown number given that the short sides of the rectangle are 2 inches each, and the long sides are three less than an unknown number of inches. The perimeter of the rectangle is given as 22 inches.
First, let's denote the unknown number as x. The formula for the perimeter of a rectangle is 2 times the width + 2 times the length. Here, the width is 2 inches, and the length is x - 3 inches.
So, the equation becomes:
2(2) + 2(x - 3) = 22
Solving for x:
4 + 2x - 6 = 22
2x - 2 = 22
2x = 24
x = 12
Therefore, the value of the unknown number is 12 inches.
Four equivalent expressions for 4(2+7p)
Ann bought two shirts for $28.95 each and a skirt for $33.95. The sales tax was $3.71. About how much did she pay altogether?
It says you need to round to the nearest one, and add the whole numbers. :D
6 times what equals 324
6 times 54 equals 324.
To find the number that, when multiplied by 6, equals 324, you can set up the equation:
6x = 324
To solve for x, you divide both sides of the equation by 6:
6x / 6 = 324 / 6
Simplifying this equation, you get:
x = 54
Therefore, 6 times 54 equals 324.
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What is fifteen plus B
Shafiq measured a piece of construction paper to be 6.75 inches wide by 8.25 inches long. What is the area of the piece of construction paper in square inches. Show your work.
What is the value of the expression?divide 57/20
Need help on number 11
I don't understand this
Creat a word problem that uses multiplication of money. Draw a bar model to help you write equations to solve the problem.
We created a word problem involving Sarah saving $6 each week to buy $24 art supplies, showing the multiplication equation $6 x W = $24, and used a bar model to find that Sarah needs to save for 4 weeks.
Explanation:Let's create a word problem that involves the multiplication of money and use a bar model to solve it. Imagine that a girl named Sarah is saving up to buy a special set of art supplies that costs $24. She decides to save $6 every week from her allowance. To find out how many weeks she needs to save in order to buy the art supplies, we can set up an equation using multiplication: 6 (number of dollars saved per week) x W (number of weeks) = 24 (total cost of the art supplies).
Using a bar model, we can represent the total cost as a long bar divided into smaller equal parts, each part representing $6. Counting the number of parts that add up to $24 will give us the number of weeks Sarah needs to save. This model visually supports our equation and helps us solve for W. In this case, W equals 4 because 6 dollars times 4 weeks equals the 24 dollars needed for the art supplies.
A town's population went from 25,800 to 42,600 in 15 years. What was the percent of changes?
The percentage increase in population is 65.11%.
What is percent increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
A town's population went from 25,800 to 42,600.
as, the population of town increase in 15 years.
So, percent increase
= Change in Amount/ Original Amount x 100
= ( 42600 - 25800) / 25800 x 100
= 16800/ 25800 x 100
= 65.11%
Hence, the percentage increase in population is 65.11%.
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4. A gardener has 10 pounds of soil. He used of the soil for his garden. How many pounds of soil did he use in the garden? How many pounds did he have left?
Triangle ABC is transformed to obtain triangle A′B′C′:
Which statement is correct for and ?
A , because is obtained by dilating by a scale factor of and then rotating it about the origin by 90 degrees
B, because is obtained by dilating by a scale factor of and then rotating it about the origin by 180 degrees
C, because is obtained by dilating by a scale factor of and then rotating it about the origin by 180 degrees
D, because is obtained by dilating by a scale factor of and then rotating it about the origin by 90 degrees
The pineapple is seven times as heavy as an orange pineapple awesome where is 870 g more than orange what is the total weight in grams for the pineapple and
At noon on January 7, the temperature in Buffalo, New York, was 1 degree below 0F?. The temperature in Pittsburgh, Pennsylvania, at the same time, was 10 degrees warmer. What was the temperature in Pittsburgh? The temperature in Pittsburgh was degrees Fahrenheit.
Answer:
its nine peeps
Step-by-step explanation:
cause
A 10 ounce bag of popcorn costs $2.45 at the movies. what is the cost of 4 bags?
A carpenter install 40 sheets of dry wall in five minutes what is the rate per minute
Write number in expanded form , one mullion, three hundred forty five thousand, eight hundred twenty
Math 7. Grade 7
Evaluate: 6(p÷x) - 2x , if p = 6 and x = 3.
SHOW ALL OF YOUR WORK!
write the missing exponent of 100=10 =
Write each fraction as the sum of two fractions with the same denominator. a) 1/2 b)3/4 c)9/10
about how many gallons of water are used to refill the bathub everyday for 31 days? explain.
Yolanda is buying a car with a base price Of 16,750. She must also pay the options,fees,and taxes shown.The car dealership will give her 48 months to pay off the entire amount. Yolanda can only afford to pay 395 each month. Will she be able to buy the car explain fully
Assuming the additional costs raise the base price of the car to $18,000, by multiplying her monthly payments of $395 by 48 months, Yolanda could afford up to $18,960. Therefore, Yolanda can afford the car.
Explanation:To determine whether Yolanda can afford the car, we must first establish the total cost of the car including options, fees, and taxes. Suppose they escalate the base price of the car from $16,750 to a total of $18,000, which is within the values provided in the Price and Demand Shifts: A Car Example table.
Next, we need to multiply Yolanda's monthly payments of $395 by the payment period of 48 months. This equals $18,960. Yolanda's total affordability over the 48-month duration would be $18,960.
Given her total affordability surpasses the total cost of the car, Yolanda will be able to buy the car.
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the library is 4 blocks north and 9 blocks east of the school. The museum is 9 blocks east and 11 blocks south of the school. How far is it from the library to the museum?
What is the first thing you need to do to add 1/9 + 5/6?
A) Add the numberators
B) Add the denominators
C) Find the lest common denominator.
D) Multiply the numerators by the denominators.
H E L P P L E A S E
Solve and check.
16 = 1/4p
A turtle walks at a rate of 1/5 mile in 45 minutes. If the turtle continues at the same rate, how much of a mile will the turtle walk in 1 hour?
The turtle walks at a rate of 1/5 mile in 45 minutes. By calculating the turtle's speed as 1/225 miles per minute, we find that the turtle will walk 4/15 of a mile in 1 hour.
Explanation:The student asked how much of a mile the turtle will walk in 1 hour if the turtle walks at a rate of 1/5 mile in 45 minutes. To solve this, we calculate the speed of the turtle in miles per minute and then find out how far the turtle can go in 60 minutes (1 hour).
First, we find the turtle's speed:
The turtle walks 1/5 mile in 45 minutes. Therefore, the turtle's speed is (1/5) mile per 45 minutes. To find the speed in miles per minute, divide 1/5 by 45: Speed = (1/5) mile / 45 minutes = 1/225 miles per minute. Now we want to know how far the turtle will go in 60 minutes, so we multiply the speed by 60: Distance in 1 hour = 1/225 miles/minute * 60 minutes = 4/15 mile.
Therefore, if the turtle continues at the same rate, it will walk 4/15 of a mile in 1 hour.
To find out how much of a mile the turtle will walk in 1 hour, divide 1/5 by 45 to find the distance walked in 1 minute. Then multiply the distance walked in 1 minute by 60 to find the distance walked in 1 hour. The turtle will walk 1/3 of a mile in 1 hour.
Explanation:To find out how much of a mile the turtle will walk in 1 hour, we first need to determine the distance the turtle walks in 1 minute. Since the turtle walks 1/5 mile in 45 minutes, we can divide 1/5 by 45 to find the distance walked in 1 minute:
1/5 mile ÷ 45 minutes = 1/225 mile per minute
Now, we can multiply the distance walked in 1 minute by 60 to find the distance walked in 1 hour:
(1/225 mile per minute) × 60 minutes = 1/3 mile
Therefore, the turtle will walk 1/3 of a mile in 1 hour.
A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?
Distance to be covered by the runner is given as [tex]\frac{7}{8}.[/tex] miles.
Speed of runner= [tex]\frac{3}{8}.[/tex] miles per minute.
The Time taken can be calculated by the formula Time = Distance ÷speed.
Time taken =[tex]\frac{7}{8}.[/tex] ÷[tex]\frac{3}{8}.[/tex]
Time = [tex]\frac{7}{8} x \frac{8}{3} =\frac{7}{3}.[/tex]
Time = 2.33 minutes = 2+(.33x60) [ 1 minute = 60 seconds]
Time = 2 minutes 20 seconds.
A CD usually sells for $18.00. If the CD is 20% off, and sales tax is 5%, what is the total price of the CD, including tax?
A. $15.12
B. $16.06
C. $14.18
D. $15.30
What is 13.28 divided by 3
13.28 divided by 3 equals approximately 4.4267. This is a simple division problem that can be solved using a calculator.
Explanation:The Numerical Conundrum:
The task at hand is straightforward — to compute the outcome of 13.28 divided by 3.
The Division Process:
The division process involves sharing or partitioning a given quantity into equal parts. In this case, we aim to distribute 13.28 into three equal segments.
Calculating the Division:
When we employ a calculator or mathematical tool, we discover that:
13.28 ÷ 3 ≈ 4.4267
Interpreting the Result:
The division of 13.28 by 3 yields an approximate quotient of 4.4267. This result signifies that each portion, when dividing 13.28 into three equal parts, is approximately 4.4267.
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