Answer:
Ratio of 4:
12:8 = (divide by 4 to get) 3:2
Ratio of 5:
4:15
Answer:
1.5 : 3:5 = smallest ratio 1 : 2.3333333333333
Step-by-step explanation:
Large Parallelogram 12 small parallelogram 8 = 12/8 = 1.5 scale factor
Large triangle 14 and small triangle 4 = 14/4 = 3.5 scale factor
1.5 : 3:5 = smallest ratio 1 : 2.3333333333333
Objective: Use ratios, rates, and proportions to solve application problems
1. There is a special at the store: $34 for 7 roses. Harry is trying to figure out if it's a good deal. Help Harry figure out the unit price (round to 2 decimal places)
2. Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel-efficient the car is. Please help by computing the ratio. (round to 2 decimal places)
3. Jade can travel 42 miles in 4 hours. Please calculate Jade's rate of speed. (round to 2 decimal places)
4. Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)
5. Tanya's car will go 45 meters on 7 gallons. Tanya wants to know how fuel-efficient the car is. Please help by computing the ratio. (round to 2 decimal places)
6. Sara can travel 23 feet in 11 hours. Please calculate Sara's rate of speed. (round to 2 decimal places)
7. Deb found 56 tulips for $8. Please help Deb by figuring out the ratio. (round to 2 decimal places)
8. There is a special at the store: $57 for 9 limes. Ruth is trying to figure out if it's a good deal. Help Ruth figure out the unit price (round to 2 decimal places)
9. Ruth found 50 chairs for $10. Please help Ruth by figuring out the ratio. (round to 2 decimal places)
10. Erin can travel 62 meters in 3 seconds. Please calculate Erin's rate of speed. (round to 2 decimal places)
What does X represent
Jamar arranged flowers in 35 vases. How many flowers did he arrange?
Could you be more specific? I don't understand the question.
2. The point (12, 9) is included in a direct variation. What is the constant of variation?
a. 1/2
b.3/4
c. 1
d. 2
Part A your were randomly survey 1,000 people at a local grocery store about their of consume use of corrective lenses would this be a valid random sample for your study on use of corrective eyewear in the United States? why or why not?
(explain in your own words)
kaylie and her family have decided to go on a mountain biking trip. use the graph tp draw a graph that represents their trip.
In one hour they rode one mile up the mountain. the next two hours they rode an additional three miles up the mountain. next, they stopped to have a lunch for an half hour. after lunch they rode two more miles up the mountain for two hours. finally they rode back to the bottom of the mountain in two hours.
Answer:
1234567891011121314151617
Answer:
where is the question?
Step-by-step explanation:
At the zoo, 1/3 of the animals are mammals. 1/4 of the mammals are elephants. What fraction of the animals at the zoo are elephants?
awnser choices:
1/12
1/7
2/4
2/3
Answer: 1/12
Step-by-step explanation:
1/3 x 1/4 = 1/12
DESMOS HELP
Which is an equation that represents the table?
a.y=16x+28
b.y=16x+60
c.y=32x+28
d.y=32x+60
Answer:
The answer is c) y=32x+28.
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
Juan and Ari went to the farmers market to buy fruit. Juan’s bag of apples that he bought weighed StartFraction 31 over 7 EndFraction pounds. Ari’s bag of oranges that he bought weighed StartFraction 19 over 3 EndFraction pounds. Using compatible fractions, estimate how much heavier Ari’s bag is compared to Juan’s bag.
Answer:
b
Step-by-step explanation:
Please answer as fast as you can. I will pay you
Promise
Answer:
c all real values of x such that x=/ 7
Step-by-step explanation:
Can someone please help me with this question. I just need to know the height.
Step-by-step explanation:
Area of triangle = 1/2 . base . height
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 73 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 11 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Let's break down this problem step by step.
First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.
The total number of ducks in the pond is 73.
Out of these 73 ducks:
- 5 are marked for a large prize,
- 11 are marked for a medium prize,
- 24 are marked for a small prize.
We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.
Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.
The total number of outcomes is just the total number of ducks you can choose from, which is 73.
The probability (P) of winning a medium prize is then:
P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)
= 11/73
To convert this fraction to a decimal, simply divide 11 by 73:
= 11 ÷ 73
≈ 0.1507 (rounded to the nearest thousandth)
So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.
The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150
To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.
The total number of ducks in the pond is given as 73.
The number of medium-prize-winning ducks is given as 11.
Therefore, the probability can be calculated as follows:
Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)
Probability of winning a medium prize = 11 / 73
To express the answer as a decimal, we divide 11 by 73:
Probability of winning a medium prize ≈ 0.150
Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150
To better understand how to find theoretical probability of winning medium prize at the duck pond:
https://brainly.com/question/1369541
The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. If each puppy gained 2.1 ounces, how much would the puppies weigh?
PLEASE DO NOT ANSWER FOR POINTS
The ratio of keepers to animals in the city zoo is 2 : 7. 12 keepers and 42 animals. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?
A. 16
B. 17
C. 18
D. 19
E. 20
Answer:
C: 18
Step-by-step explanation:
All you have to do is write down the ratio. Then you find out that 21 is half of 42 so that means that the amount of zookeepers that you will have to add should be half the amount as well so instead of 12 it would be 6. Then you just add the two numbers together to get your final answer of 18.
What is the solution of the equation n+13=30 ?
Answer:17
Step-by-step explanation:
1) 30 -13=17
n=17
A tree grows 1.5 feet per year. The tree is now 6 feet tall. Which sets of steps show ways to determine how many years the tree will take to be 27 feet tall?
Select the TWO correct answers.
A. 1.5x+6=27
1.5x=21
x=14
The tree will take 14 years to be 27 feet tall.
B. 27-6=21
21÷1.5=14
The tree will take 14 years to be 27 feet tall.
C. 1.5(x+6)=27
x+6=18
x=12
The tree will take 12 years to be 27 feet tall.
D. 1.5x+6=27
x+6=18
x=12
The tree will take 12 years to be 27 feet tall.
E. 27÷1.5=18
18-6=12
Answer:
Step-by-step explanation:
Answers are A and B.
Facts given are :
Current height = 6 ft
Growth per year = 1.5 ft
Final height = 27
Explanation for A:
Assume it takes 'x' number of years.
initial height + growth in 'x' years = Total height of the tree after 'x' years
6 + 1.5x = 27
1.5x = 27 -6 = 21
(1.5 can be written as 3/2) 3x/2 = 21
3x = 42
x = 14
hence, number of years = 14
Explanation for B:
After 'x' years,
Final height - initial height = Growth in 'x' years
27 - 6 = Growth in 'x' years
21=Growth in 'x' years = 1.5x
21= 3x/2
42=3x
14=x
hence, number of years = 14
Find the area of the figure to the nearest tenth.
Graph y= -3x+7
please show the graph points
Answer:
Step-by-step explanation:
help me plezzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
pls answer ASAP this is due in 30 minutes
what's the length of the hypotenuse of the triangle if x = 3
Answer:2√73
Step-by-step explanation:Input x with 3
2(3) = 6
5(3) + 1 = 16
16 squared is 256
6 squared is 36
A square plus B squared is C squared
square root of 292
A certain bacterium splits itself into 2 identical cells in 1 day. Each of those new cells is capable of splitting itself into 2 identical cells in 1 day. So the first day there are 2 cells, the second day there are 2 x 2 cells, and so on. Write and evaluate an expression using a base and an exponent to represent the number of cells present at the end of the 7th day.
Answer:
2 with the second power??
Step-by-step explanation:
if you have two with the second power II exponents will multiply it by itself so the number gradually gets larger each time
50** POINTS! 7th Grade, Geometry. Thankyou.
Jon has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300.
Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.
Answer:
36 hours
Step-by-step explanation:
300-30=270
270÷7.50=36
Answer:
36
Step-by-step explanation:
300 - 30 = 270
270 ÷ 7.50 = 36
HELP LIKE ASAP!!!!!!!!!!!!!!!!
Answer: A C and D
Step-by-step explanation:
What I did was look at point A, we see it starts at (-8, 6) this means that if it were to be shifted right 9 and down 4 we would get (1, 2). so, all the answers claiming that the points were shifted right 9 and down 4, or x+9 y-4 are correct.
your answer would be the first option the 3rd and the last option
Use the figure
A
B
C
D
Answer:
D. BE
Step-by-step explanation:
You want a line segment in the given figure that is skew to segment GH.
SkewA skew segment is one that does not and cannot lie in the same plane as a given line segment. Here, segments AD, BC, EF are all parallel to segment GH, so could lie in the same plane with GH.
Segments AH and DG intersect GH, so also could lie in the same plane with GH.
Segments BE and CF do not intersect segment GH, and are not parallel to it. They are skew with respect to GH.
A segment skew to GH is BE, choice D.
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REVIEW
(P13.2
Xavier starts with the integer -10 and multiplies it by a negative integer. Mark the statements below as true or false. If false, explain
why to the right of the statement.
a. The resulting product cannot be greater than-10.
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
b. The resulting product must be greater than 0.
c. The resulting product cannot be less than 10.
Answer:
a. The resulting product cannot be greater than-10. (False)
b. The resulting product must be greater than 0. (True)
c. The resulting product cannot be less than 10. (True)
Step-by-step explanation:
Explaining Statement (a):
The integer that is given is -10,
Let it will b multiplied with another negative integers let say (-1). Starting with the smallest one in order to clarify all statement.
So, if the resultant product is represented by x, So:
x = (-10)(-1)
Using the sign Multiplication rule which is {(-)*(-)} = +
x = 10
While looking at the result It is greater than -10 because 10 is greater than -10 (So, First Statement is False)\Similarly, the resulting product is greater than 0 because 10 is greater than 0 (So, 2nd statement is true)At the end, the minimum integer choose to multiply with the -10 will be -1. It neither be -0.5 because -0.5 is not an integer. Hence answer will never ever be less than 10. (Last statement is True)Sammie purchased a soccer ball for $12.99 . Her total was . $14.17
Sammie paid $
in sales tax.
Answer:
the sales tax is $1.18
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
The price of Stock A at 9 A.M. was $15.75. Since then, the price has been increasing at the rate of $0.05 per hour. At noon, the price of Stock B was $16.53. It begins to decrease at a rate of $0.13 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answer:
the price of Stock A and Stock B will be the same after 3.5 hours.
Step-by-step explanation:
15.75 + (0.05 × 3) = 15.90
15.90 + 0.05t= 16.53 - 0.13t
0.05t + 0.13t = 16.53 - 15.90
0.18t = 0.63
t = (0.63 ÷ 0.18)
t = 3.5