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
Answers
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.
Related Questions
what is the opposite of -2/3? explain.
Answers
a bag of potatoes weighs 10 1/2 pounds of the potatoes in the bag 1/6 are rotten. What is the weight of the rotten potatoes?
Answers
Answer:
1.75 Pounds.
Step-by-step explanation:
Answer:
1 3/4 pounds are rotten
Step-by-step explanation: Change to improper fraction and multiply.
21/2 × 1/6 = 7/4
Change back to mixed number
7/4 = 1 3/4 That's one and three fourths.
Betty weighs 150 pounds. During each week of the next month, she consumes 14,000 calories and burns 10,000 calories. At the end of the month, what will her weight be?
Answers
Answer:About 154.5 pounds
Step-by-step explanation:
Answer:
154.58 as the easy answer
Step-by-step explanation:
John had $26 to spend on eight paintbrushes for his art class. After buying them, John had $10 left. How much did each of the paintbrushes cost?
PLSS HELP ME
Answers
Answer:
Each paint brush cost 2 dollars
Step-by-step explanation:
all u do is subtract 10 from 26 witch leaves 16 so 16 divided by 8 is 2 and to check work divide 16 by 2 and u get 8
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may yall help me what the answer????
Answers
Answer:
8=20.32
10=25.4
3.5=8.89
Step-by-step explanation:
One inch is 2.54 cm so you just multiply that by the number of inches.
Answer:
8=20.32
10=25.4
3.5=8.89
Step-by-step explanation:
-3 + 6x. Which expression shows the correct factorization?
Here are the ones to pick from
1. -2 + -2 +6 +x
2. 6(-2 +x)
3. 6(-2 +x)
4. -3 (1 - 2x)
Answers
Answer:
Option #4
Step-by-step explanation:
Expand option #4
=-3(1-2x)
=-3 -2x*-3
=-3+6x which is what your original equation was.
8th/9th-95 POINTS+BRAINLIEST!!!!!!!! How do you write a quadratic equation in vertex form? Please explain the steps in simple language and use y=x²+6x+16 as an example.
Answers
Answer:
In vertex form: y = 1(x - (-3))² + 7
Vertex: Minimum (-3, 7)
Explanation:
Vertex form: y = a(x - h)² + k
Completing square (rules) :
1st rule: (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
2nd rule: x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Given equation:
y = x² + 6x + 16
y = x² + 2(3)x + 3² + 7
y = (x + 3)² + 7
Into vertex form:
y = 1(x - (-3))² + 7
From this identify:
a = 1, h = -3, k = 7
Solution, vertex of this equation: Minimum (-3, 7)
The line plot shows the ages of participants in two group activities at a science center. What conclusion can be drawn about the data sets? Responses
The median age of participants in group 2 is older than the median age of participants for group
1. The median age of participants in group 2 is older than the median age of participants for group 1.
2. Group 1 participants have a greater range in age than group 2 participants.
3. 14- and 15-year olds are in group 2 than in group 1.
4. The mean age of participants in group 2 is younger than the mean age of participants in group 1.
Answers
The conclusion that can be made on the ages of the participants is 1. The median age of participants in group 2 is older than the median age of participants for group 1.
What is median ?A median is the number in the center of a data collection that is written from least to greatest. When two numbers are in the center, the median is the mean of these two values.
On the line plot, we see that the Median Age for Group 1 is 15 years while the Median Age in Group 2 is 17 years. This therefore means that the median age of Group 2 is larger than Group 1.
Find out more on median at https://brainly.com/question/26177250
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PLS PLS PLS PLS HELP I WILL MARK BRAINLIEST!!
Answers
Answer:
A. 9.20 and -14.5
Step-by-step explanation:
See answer details down below
3. The equation of the line on the graph below is a direct variation equation. What is the constant of variation? (Image: The graph of a line on a coordinate grid is shown connecting the points (-4, - 1), (0,0) (4, 1))
A.1/4
b.1/2
c.3/4
d.1
Answers
Answer: 1/4 or 1/2.
Step-by-step explanation:
PLS HELP ASAP (in link) 15 points!!
Answers
Answer:
go to the website slader . com for answers go to your book and page number and you got the answers
Step-by-step explanation:
Reasoning: unit rate : -9.95/1 you want to get to 3 months. So the fraction will look like ?/3. 1•3 = 3 so you have to multiply -9.95•3 to get how much is charged. The answer would be 29.85 and since there’s two different signs, it’ll be negative. -29.85. (Sorry if I’m late and all- hope this helps but if I’m wrong I’m sorry too)
Need help on this one
Answers
Answer:
12
Step-by-step explanation: it’s right
Can someone write a story with dialogue about a kid who gets to be President of the United States for the day.?
Answers
step by step explanation as well please
Answers
Answer:
125˚
Step-by-step explanation:
The angles given are supplementary. So we can set up the equation :
(3x+5)+(x+15)=180
Then we can solve for x.
Combine like terms:
4x+20=180
4x+20-20=180-20
4x=160
4x/4=160/4
x=40
Now we plug in 40 for x.
3(40)+5=<A
120+5=<A
<A=125
Write an expression to represent "nine minus the quotient of two and a number x." (use / for division)
Answers
Answer: 9-2x
Step-by-step explanation: Please make me the brainliest
“Nine minus” is “9 -“
“Quotient of 2 and a number” is “2/x”
Two fair number cubes are rolled. The table below shows the possible outcomes for each number cube and their sum.
+ 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
What is the theoretical probability of rolling two numbers with a sum less than 6?
Answers
Answer:
The easiest method is to draw a possibility space first. The grid shows the totals for two dice. There are: 6×6=36 possible outcomes. Of these there are 10 totals which are less than 6.
Step-by-step explanation:
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Answer:
6/36 or 1/6 either answer is correct. but you must show your workings for 6/36
Step-by-step explanation:
We look at the data within each line that shows 1,2,3,4,5,6 both horizontal shows match with vertical.
We count 10 possible outcomes that would show product of under 6 out of 36 events = 6/36
If it asks to simplify we see 6 divides into 6 and 36 = 1/6
the table shows the relationship y=kx. what is the constant proportion, k?
Answers
Answer:
\(k \: = 4 \)
Step-by-step explanation:
Thanks alot
SHOW 2 DIFFERENT WAYS TO FACTOR
\(-\frac{11}{2}x\) + \(\frac{1}{2} - \frac{7}{2} y\)
BTW!! \(-\frac{11}{2}x\) is NEGATIVE
Answers
Answer:
the fraction is 3(x + 4)
Step-by-step explanation:
The length of a building is 60 feet. The length of the building on a scale drawing is 4 inches. Which ratio describes the scale of the drawing?
-- giving brainliest to whoever has the answer (with descriptions and such)
-- if no one else answers (but only one person), i'll be able to give five stars and a thanks
Answers
the ratio of the scale drawing is
1 inch on the drawing represents 180 feet in real life.
To determine the ratio of the scale drawing, we need to first find the length of the building on the scale drawing. We know that the actual length of the building is 60 feet, and the length of the building on the scale drawing is 4 inches. We can set up a proportion to find the length of the building on the scale drawing:
Actual length / Length on scale drawing = Scale factor
We can plug in the values we know:
60 feet / Length on scale drawing in inches = Scale factor
To solve for the length on the scale drawing in inches, we can cross-multiply:
60 feet * 1 inch / Scale factor = Length on scale drawing in inches
Simplifying:
Length on scale drawing in inches = 60 feet * 12 inches / Scale factor
We know that the length on the scale drawing is 4 inches, so we can plug that into the equation:
4 inches = 60 feet * 12 inches / Scale factor
Solving for the scale factor:
Scale factor = 60 feet * 12 inches / 4 inches
Scale factor = 180
Question 2(Multiple Choice Worth 2 points)
(Experimental Probability MC)
In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36. Predict how many times the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
3
9
10
18
Answers
9 the rolls will result in a sum greater than 10 if the experiment is repeated 108 times.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
The theoretical probability of both rolls equaling a sum greater than 10 is 3 over 36.
As, Expected number of outcomes = theoretical probability * number of trials
Expected number of outcomes = 3/36 x 108
= 9
Thus, the required value is 9.
Learn more about Probability here:
https://brainly.com/question/30544947
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HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.
Answers
Answer:
Step-by-step explanation:
1. 3x + 2y - 2x + y + 12 is equivalent to x + 3y + 12
2. 4y + 3y + 3x - 6y - 10 - 2 is equivalent to 3x + y - 12
3. x + 3y + 2x - 3x + 7 + 5 is equivalent to 3y + 12
4. I do not know unfortunately
Answer:
See attached image
Step-by-step explanation:
To solve this, first simplify the compound expressions - the ones with multiple x, y terms and see which of the other expressions matches the simplified expression
I will tell you how to solve one of the more complex expressions; the technique is the same for the rest
Let's take the very last expression
4y + 3y + 3x - 6y -10 - 2
To simplify,
group like terms:
=(4y + 3y - 6y) + 3x +(-10 -2)
= y + 3x - 12
Rewriting with x before y gives
3x + y - 12
and there is a matching 3x + y - 12
4y + 3y + 3x - 6y -10 - 2 ⇔ 3x + y - 12
The solution is in the attached image
Please help me! im on an assignment an cant figure it out
Answers
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47
please help now i need this quick
Answers
On the graph in the Sketchpad reflect ABC over the X axis. Then translate it 4 spots to the LEFT. Draw ABC in it's new location.
Make sure you label each of the points as to where they will be after the above transformation.
Answers
Answer:
the answer is:
Step-by-step explanation:
A will be at (0,2)
B will be at (3,9)
C will be at (3,2)
Point A, located at (5, -4) is reflected in the y-axis, resulting in the location of point A'. Which of the following statements is true?
Point A' is located at (-5,-4)
Point A' is located at (-5,4)
Point A is located at (4,5)
Point A' is located at (-4,5)
Answers
The correct answer is Point A' is located at (-5, -4).
When a point is reflected in the y-axis, its x-coordinate is negated and its y-coordinate remains the same. Therefore, the x-coordinate of point A changes from +5 to -5, and the y-coordinate remains -4. Hence, the coordinates of A' are (-5, -4).
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
This graph represents a linear function
select the equation represented by the graph
Answers
Y=4/1x -1
Answer: \(y = \frac{1}{4} x - 1\)
Step-by-step explanation: In general, know that the equation for a linear graph is \(y = mx + b\), where
m = \(\frac{rise}{run}\) = the slope of the linear functionb = the y intercept.In our case,
m = \(\frac{rise}{run}\) = \(\frac{1}{4}\)b = -1
Describe the pros and the cons of using the standard form of a line to graph an equation.
Answers
Answer:
The standard form of a line is expressed as Ax + By = C, where A, B, and C are constants and x and y represent the variables. One advantage of using the standard form to graph a line is that it is relatively easy to determine the slope and y-intercept of the line from the constants A and B. This can be particularly useful when trying to analyze the behavior of the line.
Another advantage of using the standard form is that it allows you to easily determine the equation of the line when given a set of points. For example, if you are given the points (2,4) and (3,6), you can use the standard form to find the equation of the line that passes through these points by substituting the coordinates into the form and solving for the constants.
One potential disadvantage of using the standard form is that it can be more difficult to interpret the meaning of the constants A, B, and C in terms of the context of the problem. For example, if the line represents the cost of a product, it may be more intuitive to express the equation in terms of the variables x (the number of units) and y (the cost). In this case, it may be more useful to use the slope-intercept form of the equation, which is expressed as y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
https://www.math.net/standard-form
Step-by-step explanation:
I honestly think that - ' jphhendell13 ' is correct.
what is the square root of 392 between?
Answers
Answer:
The square root of 392 with one digit decimal accuracy is 19.7
Step-by-step explanation:
Banana Cupcakes
makes 10 cupcakes
1 cup granulated sugar
cup vegetable oil
1 large egg
4 tablespoons sour cream
2 medium-sized ripe bananas, mashed
1 cups all-purpose flour
1 teaspoon baking soda
teaspoon salt
1 teaspoon vanilla extract
pinch of nutmeg
You will use the recipe above to answer the following questions:
This recipe serves 10, but you need to serve 30. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?
How much vegetable oil do you need for 30 cupcakes?
How much flour do you need for 30 cupcakes?
What is the difference in the amount of vanilla extract you would need for 30 cupcakes?
What is the difference in the amount of salt you would need for 30 cupcakes?
In the real world, even though you make adjustments to a recipe to accommodate the number of people you need to serve, you sometimes round the amount of an ingredient instead of using an exact amount. Which ingredient would it make more sense to round rather than coming up with the exact amount? Why?
Answers
Answer: Hey give me 1 hour and ill answer it I'm doing odessyware rn so Ill get back to you later appreciate yo patients.
Step-by-step explanation:
Then, if we want to make 30 servings, we need to use that recipe 3 times. (because x*10 = 30, then x = 30/10 = 3)
This would be equivalent to multiply each ingredient by 3.
for 30 cupcakes we need:
3 cups of vegetable oil.
3 cups of all-purpose flour
(because for each one of these ingredients we needed only 1 cup to make 10 cupcakes).
for 10 cupcakes we need 1 teaspoon of vanilla.
for 30 cupcakes we need 3 teaspoons of vanilla, the difference is 3 - 1 = 2.
So the difference is 2 teaspoons.
About which quantities we should round are those where we may have mixed numbers or big numbers.
For example, we have 4 tablespoons of sour cream for 10 servings, then for 30 servings we should have:
3*4 = 12 tablespoons.
We could round this down to 10 tablespoons.
Hope this helped
I almost broke my brain doing this so can you give me brainliest answer please thank you