Keith uses 18 cherries and 3 peaches to make a pie filling. Lena uses an equivalent ratio of cherries to peaches when she makes pie filling. Can Lena use a ratio of 21 cherries to 6 peaches?
Answer:
No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.
Step-by-step explanation:
We are given the following in the question:
Keith uses 18 cherries and 3 peaches to make a pie filling
We find the ratio of number of cherries to number of peaches in the pie.
Equivalent Ratio =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]
This ration can be interpreted as:
There are 6 cherries in the pie for every 1 peach in the pie.
We have to check whether Lena can use a ratio of 21 cherries to 6 peaches.
Lena's ratio of number of cherries to number of peaches in the pie =
[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]
No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.
Use properties of addition and subtraction to evaluate the expression. −57−14−23 Enter your answer in the box.
Answer:
-94
Step-by-step explanation:
-57-14= -71
-71-23= -94
A 6-pack carton of sport drink bottles at the local grocery store is labeled as 13.48 oz. What is the weight of the carton rounded to the nearest tenth of an ounce?
A. 13.0 oz.
B. 13.2 oz.
C. 13.5 oz.
D. 14.0 oz.
Estimate 37,496 divided by 603
the farther an integer is from 0, the ______ its absolute value.
cos^4t - sin^4t = 1 - 2sin^2t
X y
1 12
5 40
10 50
15 170
20 280
25 410
What is the curve of best fit for the data shown?
A) y = 16x2 - 51x + 9
B) y = 0.2x2 + x + 23
C) y = 10x2 - 0.5x + 8
D) y = 0.6x2 - 0.02x + 11
The best fit curve for #1 is D. The easiest way to check these is by pluggin in to the equation and seeing if they come close. By doing just the first ordered pair along, it is apparent that only D will work.
With x = 1 input
A) -36
B) 24.2
C) 17.5
D) 11.58
#2 is also D. We can tell this because multiplying any of these options always results in a middle term between them. For instance, if you multiply out C, you will not only get x^4 and x^4, but you will also get terms such as 4x^2y^2 in the middle.
There were 360 pumpkins in a pumpkin patch, but it was difficult for Farmer Joe to find the Perfect pumpkin. Every third pumpkin was too small. Every fourth pumpkin was too green. Every fifth pumpkin had a broken stem. Every sixth pumpkin had the wrong shape. How many perfect pumpkins did Farmer Joe find in the pumpkin patch?
How do the values of the digit 2 in the number 222.222 change for each place value
Carla has $1000 in a Bank account. Each year she gets 50% interest on the total money in her bank account. How much will she have in her account after the end of 3 years
I need help on this problem
How much is 2.1x 82
What number is shown on the graph ?
Answer:
B
Step-by-step explanation:
[tex]\sqrt{20}[/tex] = 4.47
4.47 + 2 = 6.47
What is true about the absolute values of the slopes of parallel and perpendicular lines?
How do you write 18 tens in standard form
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 48 minutes, the container has 5 gallons of water left.
The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.
Explanation:This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.
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What is the remainder when the polynomial 7x^2+15x−12 is divided by x + 3?
Answer:
6
Step-by-step explanation:
The answer is 6 my teacher showed me.
the temperature dropped 12 degrees Fahrenheit in 8 hours. if the final temperature was -7 degrees Fahrenheit what was the starting temperature
The starting temperature will be 5 degrees Fahrenheit.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The temperature dropped 12 degrees Fahrenheit in 8 hours.
If the final temperature was -7 degrees Fahrenheit.
Then the starting temperature will be given as the summation of the numbers -7 and 12. Then we have
⇒ - 7 + 12
⇒ 5 degrees Fahrenheit
The starting temperature will be 5 degrees Fahrenheit.
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Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container How many biscuits does Trevor put in the container? help me please
If Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container.
Total number of biscuits = Number of batches × Biscuit in each batch
Total number of biscuits = 8 × 14
Total number of biscuits = 112
Number of biscuits sets aside,
Total number of biscuits sets aside = Number of batches × Biscuit in each batch
Total number of biscuits sets aside = 4 × 8
Total number of biscuits sets aside = 32
The number of biscuits Trevor put in the container is,
=112 - 32
=80
Thus, if Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.
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which of the following cannot be classified as a substance a. table salt b. air c. nitrogen d. gold
Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.
Explanation:The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:
Table salt (sodium chloride) is a compound, thus it is a substance.Nitrogen is an element, making it a substance as well.Gold is also an element, so it is a substance.Air, however, is a mixture of many gases, primarily nitrogen, oxygen, and other trace gases, and therefore cannot be considered a substance since its composition can vary.Based on these classifications, air is the one that cannot be classified as a substance.
Are θ = πn and θ= π+ πn equivalent?
How long will it take you to bike 225 miles at a speed of 15 miles per hour?
The time taken by the bile to cover 225 miles will be 15 hours.
What is velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Given that bike covers a distance of 225 miles with a speed of 15 miles per hour.
The time will be calculated as below:-
Velocity = Distance / Time
15 = 225 / Time
Time = 225 / 15
Time = 15 hours
Therefore, the time taken by the bile to cover 225 miles will be 15 hours.
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Caroline has 4 green cards, 3 red cars, 3 orange cards, and 1 gold card. if she discards the gold card, what percent of her remaining cards are red?
After discarding the gold card, Caroline has 10 cards left. Since 3 of these are red, the percentage of red cards is 30%.
Explanation:To find the percent of the remaining cards that are red after Caroline discards the gold card, we must first determine the total number of cards left. Caroline initially has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card, totalling to 11 cards. If she discards the gold card, she is left with 10 cards.
Now, since there are 3 red cards out of the 10 remaining cards, to find the percentage of red cards, we perform the following calculation:
Divide the number of red cards by the total number of remaining cards: 3 red cards / 10 remaining cards = 0.3.Convert the decimal to a percentage by multiplying by 100: 0.3 \(\times\) 100 = 30%.Therefore, 30% of Caroline's remaining cards are red.
How many 6-ounce cups can be filled from 4 gallons of juice? Hint 1 gallon = 128 ounces
Kiki wants to rent a bounce house for her daughter's party. The cost, y, to rent a bounce house for a number of hours, x, is shown in the table. The initial set-up fee is included in the cost.
Answer:
The initial setup fee is $55.The hourly rate is $65.Step-by-step explanation:
First of all, we need to find the equation that models this situation.
Let's find the constant ratio of change using two pair of values from the given table.
[tex]m=\frac{575-185}{8-2}=\frac{390}{6}=65[/tex]
The ratio of change is 65.
In other words, the hourly rate is $65, that is, 65 dollars per hour.
Then, we use the point-slope form to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-185=65(x-2)\\y=65x-130+185\\y=65x+55[/tex]
Where [tex]55[/tex] refers to the initial condition.
In other words, the initial setup fee is $55.
Starting at 1:00 p.m., the temperature changes −4 degrees Fahrenheit per hour. It is 35°F at 1:00 p.m.. Write and solve an equation to find how many hours x it will take to reach −1°F.
An equation is
It will take _ hours to reach −1°F.
To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.
Explanation:To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.
The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.
To solve the equation, we can first subtract 35 from both sides to isolate -4x. This gives us: -4x = -36.Next, we can divide both sides of the equation by -4 to solve for x. This gives us: x = -36 / -4 = 9.So, it will take 9 hours to reach -1°F starting from 1:00 p.m.
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What's the equation
8p-3=13
what number 4 times as many as 25 times?
A)100
B)125
C)21
D)29
Is this a lCM or GCF
Answer:
This is greatest common factor.
Step-by-step explanation:
It said,”What is the greatest number of baskets?
Eddie is reading a novel for English lass. He has read 173 out of 480. About what percent of the book he has read ?
Final answer:
Eddie has read about 36% of the book for his English class, calculated by dividing the number of pages read by the total number of pages and then multiplying by 100.
Explanation:
To determine what percent of the novel Eddie has read for his English class, you would use the formula for calculating percentage: Percentage = (Part / Total) × 100. In this case, the part is the number of pages Eddie has read (173 pages) and the total is the number of pages in the novel (480 pages).
Now, let's calculate the percentage:
Percentage = (173 / 480) × 100
First, divide 173 by 480, which gives approximately 0.3604. Then, multiply this result by 100 to convert it into a percentage.
Percentage = 0.3604 × 100 => 36.04%
Therefore, Eddie has read about 36% of the book for his English class.