peter has 18 oranges, 27 pears, and 12 bananas. He wants t o make fruit baskets with the same number of each fruit in each basket.

a. What is the greatest number of fruit baskets he can make?

b. How many oranges will be in each basket?

c. How many bananas will be in each basket?

d. How many pears will be in each basket?

Answers

Answer 1
A. 3 baskets
B. 6 oranges
C. 9 pears
D. 4 bananas
Hope this helps! Let me know if you need any further assistance!
Answer 2

Answer:

a. Maximum 3 baskets

b. Number of oranges = 6

c. Number of bananas = 4

d. Number of pears = 9

Step-by-step explanation:

Peter has 18 oranges, 27 pears and 12 bananas.

He wants to prepare the fruit baskets with the same number of each fruit in each basket.

a). Greatest number of fruit baskets can be prepared by calculating highest common factor.

Factors of 18 = 2×3×3

Factors of 27 = 3×3×3

Factors of 12 = 2×2×3

Now highest common factor of 18, 12 and 27 = 3

Therefore, maximum 3 baskets can be prepared.

b. Number of oranges in each basket = [tex]\frac{18}{3}=6[/tex]

c. Number of bananas in each basket = [tex]\frac{12}{3}=4[/tex]

d. Pears in each basket = [tex]\frac{27}{3}=9[/tex]


Related Questions

Find the coordinates of the points of intersection of the graphs with coordinate axes: y=−1.5x+3

Answers

Final answer:

The coordinates for the points of intersection of the line y=-1.5x + 3 with the coordinate axes are (0,3) for y-axis and (2,0) for the x-axis.

Explanation:

To find the points of intersection of the line with the coordinate axes, we will set the values of y and x to zero separately. So, let's start from the intersection of the line with the y-axis. For this, we set x=0 in the equation y = -1.5x + 3. Thus, y = 0*(-1.5) + 3 which gives us y = 3. So one point of intersection is (0,3). Next, finding the x-intercept requires setting y=0, which gives 0 = -1.5x + 3. Solving this equation, we get x = 3 / 1.5 or x=2. Hence, the other point of intersection is (2,0). Therefore, the coordinates for the points of intersections are (0,3) and (2,0).

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How do I round 6.44 to the nearest minute

Answers

Anything lower than 5 in rounding turns into a zero. The number your rounding stays the same. Therefore the answer is 6 minutes if rounded to the nearest minute.

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same? (GB means “gigabytes of data.”)

Answers

8n = 20 + 6(n – 2)
Next time write the whole equation down.

Answer:

5n = 30 + 3(n - 4)

Step-by-step explanation:

Can someone help me with this? Please look at the top, write it in standard form.

Answers

11.  .0000003
12. 9050.

I'm not sure about 12,
but I do know 11 is correct.

Alicia plots a point at (0, 5) and (0, -2). What is the distance between the points?

Answers

In (5,0), five represents how many times he will move over in the X axis. Since it’s zero, you do not move at all. However you will move five spot up, because the five is on the Y axis. Then, he will do the same thing with your second pair of coordinates. You do not move on the X axis, but you will move two spots down on the Y axis. Then, trace your pencil between the two dots. You will notice that it passes seven intersections, so your answer will be seven units.

It would be 7 units because when you put down the points and you draw a diaganal line between the two points and it crosses 7 intersections.

Hope you stay safe and this answer helps you.

What is a cause of mechanical weathering?


A. sunlight


B. natural acids


C. physical forces


D.rainwater

Answers

The cause of mechanical weathering is physical force

Answer:

Physical force is ur answer mate

Hope it helps.

Can you please help and explain I will give brainliest or thanks

Answers

9: is 12 (not fully sure)

11: is 3 2/4

What is 7√11√ in simplest radical form? Enter your answer in the box.

Answers

23.21 is the answer i believe

Answer:

[tex]\sqrt{\frac{7}{11} }[/tex]

Step-by-step explanation:

The right expression of the question is

[tex]\frac{\sqrt{7} }{\sqrt{11} }[/tex]

The simplest radical form of this expression is obtained by applying the right property, which is about the quotient between radicals. According to this property, the quotient of radical is equal to the radical of the quotient, that is

[tex]\frac{\sqrt{7} }{\sqrt{11} }=\sqrt{\frac{7}{11} }[/tex]

Stephanie planted a home garden. She planted 2 rows of tomatoes with 5 tomato plants in each row. She also planted squash in rows of 7 plants each.

If x represents the number of rows of squash she planted, which of the following equations can be used to find the total number of plants Stephanie planted in her home garden?
A.
y = 7x + 10
B.
y = 7x + 7
C.
y = 8x + 7
D.
y = 15x + 7

Answers

the answer would be A. y=7x+10

Answer:

A. y = 7x + 10

Step-by-step explanation:

The expression we have to find must include the total number of plants.

According to the problem, Stephanie has 2 rows of tomatoes with 5 tomatoes each, that means she has 10 tomato plants, so the expression must have 10 as a term.

You can see already that the only option that has 10 as a term is option A. Therefore, that's the right answer.

In addition, the other plant is represents by 7x, because the problem states that she planted squash in rows of 7 plants, where x expresses rows.

While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Use a double number line to support your answer.

Answers

9.5 hours of babysitting.

Kyla has to babysit for 9.55 hours to earn $52.50 so that she can buy the dress.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The dress costs $52.50 more that Kyla has, so she has to earn that much money by babysitting so that she can have the full amount of that dress.

Kyla charges $5.50 for an hour.

So, for $52.50 she has to work for 52.50 divided by 5.50;

52.50/5.50 hours

= 9.55 hours

Therefore, Kyla has to babysit for 9.55 hours to earn $52.50 so that she can buy the dress.

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Jamal hiked on two trails . the First trail was 5 1/3 miles long and the second trail was 1 3/4 times as long as the first.how many miles did jamal hiked?

Answers

all you have to do is add the miles Jamal hiked
5 1/3+1 3/4= 7 1/12


6 and 7/12 Is the answer Because 3/4 and 1/3 is Equivalent to 7/12 Hope it works out:)

Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.

Answers

Final answer:

By adding the distance from A to M to A's coordinate, we find that M's coordinate is 1.

Explanation:

The question asks to find the coordinate of point M on a number line where point A has a coordinate of −1.5, point B has a coordinate of 6, and the ratio of the distances AM to MB is 1:2. To solve this, we first identify that AM and MB are segments on the number line with point M somewhere between A and B. Since AM:MB = 1:2, we know that for every unit distance from A to M, there are 2 unit distances from M to B.

The total distance between A and B is 6 - (−1.5) = 7.5 units. Dividing this distance in the ratio 1:2, implies that AM takes up one-third of the total distance and MB takes up two-thirds of the total distance. Therefore, AM = ¼ * 7.5 = 2.5 units. Adding this distance to the coordinate of A gives us the coordinate for M: −1.5 + 2.5 = 1. So, the coordinate of point M is 1.

math question down below

Answers

Negative products: (-1/2)(1/2),(1/2)(-1/2)
Positive products: (1/2)(1/2),(-1/2)(-1/2)

One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours. On the way back, I take the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home. Given that x > 0, what is x? Express your answer as a common fraction.

Answers

Answer:

8/3

Step-by-step explanation:

Since we know that the distance that I traveled to the park and the distance that I traveled to get back home are the same, and that distance = rate x time, we have that

(x^2)(3)=(16-4x)(4)

3x^2=64-16x

3x^2+16x-64=0

(3x-8)(x+8)=0

Solving this equation, we get the solutions x=8/3 and x=-8. Since x must be positive, we have x=8/3.

The value of x = 8/3 and this can be determined by forming the quadratic equation using the given data and then factorizing it.

Given :

One day, I decide to run to the park. On the way there, I run at a rate of x^2 miles per hour for 3 hours.On the way back, I take the same path and jog at a slower rate of 16 - 4x miles per hour so that it takes me 4 hours to get home.x > 0

The quadratic equation that represents the given situation is:

[tex](x^2)\times 3 = (16-4x)\times 4[/tex]

Simplify the above quadratic equation.

[tex]3x^2= 64-16x[/tex]

[tex]3x^2+16x - 64=0[/tex]

Now, factorize the above equation.

[tex]3x^2+24x-8x - 64=0[/tex]

3x(x+8) - 8(x + 8) = 0

(x + 8)(3x - 8) = 0

x = -8 will be rejected because x is always positive. So, the value of x = 8/3.

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Negative K over five equals seven over five

Answers

Hey! Sorry about your misunderstanding of your work, Allow me to help :)

Let's turn that phrase into an equation.

Negative K ( - k) over five ( /5 ) equals ( = )  seven (7) over five ( /5)

Let's put that together.

- k/5 = 7/5

To solve, we need to get rid of the fraction by getting rid of the denominator, in this case, the denominator for both sides is 5. Multiply each side by 5 to cancel out the 5. We get :

- k = 7

Now we need to get rid of that negative sign next to k, so what we do is divide each side by -1 so we can cancel out that negative 1 next to k.

Our Final answer is k = -7 .

Help Please!

The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:

V = 2s3

If s = 3.5 units, what is the value of V?

A: 21.0 cubic units
B: 24.5 cubic units
C: 36.75 cubic units
D: 85.75 cubic units

Answers

Answer:

85.75 cubic units

Step-by-step explanation:

You got the formula [tex]V=2s^3[/tex] and you know that s = 3.5 units

The only thing you need to do is to substitute the value of s in your formula. This is

[tex]V= 2(3.5)^3[/tex]

And you need to do all the operations

[tex]V= 2(3.5)^3 = 2(42.875) = 85.75[/tex]

And your answer is D

The value of V for s = 3.5 units is,

⇒ V = 85.75 cubic units

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units as,

⇒ V = 2s³

Here, We have;

s = 3.5 units

Hence, We get;

⇒ V = 2s³

⇒ V = 2 × 3.5³

⇒ V = 85.75 cubic units

Thus, The value of V for s = 3.5 units is,

⇒ V = 85.75 cubic units

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three times some number decreased by five is no less than 16

Answers

Final answer:

The problem involves mathematical inequalities. We translate the sentence into the inequality 3x - 5 ≥ 16 and solve for 'x', resulting in 'x ≥ 7'. Thus, the number must be 7 or any number above 7.

Explanation:

The student's question involves mathematical inequalities. To solve it, let's use 'x' to represent the unknown number in the problem. The question can therefore be translated into the following inequality: 3x - 5 ≥ 16. To find 'x', follow these steps:

Add 5 to both sides of the inequality to undo the subtraction: 3x ≥ 21.Divide both sides of the inequality by 3, to isolate on 'x': x ≥ 7.

So, the original sentence 'three times some number decreased by five is no less than 16' is equivalent to the inequality 'x ≥ 7'. Hence, the number must be 7 or any number greater than 7.

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One mile is equal to 5,280 feet.

How many feet are in 6 miles?


(BLANK) ft

Answers

If one mile is equal to 5,280 feet, and we want to find how many feet are in six miles, we have to multiply the two numbers. 

6 x 5,280 = 31,680

31,680 ft

Hope this helps! Let me know if you have any questions:)
The answer is 31680 feet,
5280
><6
----------
31680
Hope it help!
: )

If n=50 find the value of 6n

Answers

If n=50, to solve for 6n, you just plug 50 into 6n so that it looks something like this: 6(50) or 6*50. When you multiply, your answer should be 300.
The answer is 300. Since n=50, you do 6*50, which gives you 300

In May 2009, exactly 20,336 tent campers stayed at Grand Canyon National Park. What was the average number of campers per day in May? (May has 31 days.)

Answers

20,336÷31=656
so the average number per day in may was 656 campers

Which absolute value function defines this graph?

Answers

The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3

Answer:

A. [tex]f(x)=-4|x+2|+3[/tex]

Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is [tex]f(x)=|x|[/tex] with vertex at (0,0)

We can see that the vertex of our given function is at [tex](-2,3)[/tex]. This means that our function is shifted to left by 2 units. We can represent this information as: [tex]f(x)=|x--2|=|x+2|[/tex]

We can also see that our graph is reflected across x-axis, so after reflection our function would be [tex]f(x)=-|x+2|[/tex]

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be [tex]f(x)=-|x+2|+3[/tex].

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be [tex]f(x)=-4|x+2|+3[/tex].

Therefore, option A is the correct choice.

Hiiiiiioo helpppp pleas I want to undertsand

Answers

The function is y=3x+1 because it intercepts the y axis at the number 1 and it is going at a slope ( rise over run ) of 3
The answer is:  [C]:  " y = 3x + 1 " .
_____________________________________________________
Note:  By looking at the graph, we see that it passed through the point, " (0, 1) " (at the y-intercept).
_____________________________________________________
Consider choice:  [A]:  "y = 3x" ;  When "x = 0" ; what does "y" equal ?
 y = 3x = 3(0) = 0 ; → "(0, 0)" is a solution; NOT "(0, 1)" ; so rule out "[A]" .
________________________________________________________
Consider choice:  [B]:  "y = 3x − 1" ;  When "x = 0" ; what does "y" equal ?
 y = 3(0)−1 =0−1 = -1;  → "(0, -1)" is a solution; NOT "(0, 1)" ; so rule out "[B]" .
________________________________________________________
Consider choice:  [C]:  "y = 3x + 1" ;  When "x = 0" ; what does "y" equal ?
→  y = 3(0)+1 = 0+1 = 1;   → "(0, -1)" is a solution;  so "choice [C]" is possible.
________________________________________________________
Consider choice:  [D]:  "y = 3x² + 1"; When "x = 0" ; what does "y" equal ?
→  y = 3(0²)+1 = 0+1 = 1; → "(0, 1)" is a solution;  so "choice [D]" is possible.
________________________________________________________
However;  choice: [D]: is a parabola, not a line; so we determine that the correct answer is:  Choice [C]:  "y = 3x + 1" .
________________________________________________________

A number is divided into the ratio 5:9. If the first part is 35, find the number.

Answers

175 is the correct answer.

A line contains the points (-12, -60) and (60, -42).

What is the slope of the line in simplified form?

Answers

The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The slope of a line which contains points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]

is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The given is:

1. Point (-12 , -60) lies on the line

2. Point (60 , -42) lies on the line

We need to find the slope of the line

∵ [tex](x_{1},y_{1})[/tex] = (-12 , -60)

∵ [tex](x_{2},y_{2})[/tex] = (60 , -42)

- Substitute these values in the rule

∴ [tex]m=\frac{-42-(-60)}{60-(-12)}[/tex]

∴ [tex]m=\frac{-42+60}{60+12}[/tex]

∴ [tex]m=\frac{18}{72}[/tex]

∴ [tex]m=\frac{1}{4}[/tex]

The slope of the line in simplified form is [tex]\frac{1}{4}[/tex]

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janet's recipe calls for 6/8 cup of milk. what is this fraction in simplest form?
2/4
2/3
3/4
1/3

Answers

You can easily simpligy this fraction by taking a 2 out of the top and bottom of it.

6/2=3
8/2=4

Your answer is 3/4

I hope this helps!
The answer would be C, 3/4. Because, the greatest common factor of 6 and 8 is 2, meaning to simplify the fraction, you divide both of them by 2. So, 6 divided by 2 is 3 and 8 divided by 2 is 4, meaning that this fraction in simplest form is 3/4. Hope this helps!

(-3/4+4/3)+a=0
What value of a will make the equation a true statement

Answers

Final answer:

The value of A that will satisfy the equation (-3/4 + 4/3) + A = 0 is -7/12 after finding a common denominator and simplifying the fractions.

Explanation:

To find the value of a that will make the equation (-3/4 + 4/3) + a = 0 a true statement, we need to first simplify the fraction part of the equation.

Let's find a common denominator for the fractions, which is 12. Converting both fractions, we get:

-3/4 = -9/124/3 = 16/12

Now, adding these two fractions we have:

-9/12 + 16/12 = 7/12

So, the equation now is:

7/12 + a = 0

To solve for a, we need to isolate a on one side of the equation:

a = -7/12

Therefore, the value of a that makes the equation true is -7/12.

Members of the BladeRunner Skating Club collected $950 from fundraising activities. They want to buy Ultrablade skates which are $48 a pair. How many pairs of skates can they buy? What does the remainder represent?

Answers

They can buy 33 pairs of skates. The remainder represents the part pf the skate they can almost buy with that money.

Explain why it works to break apart a number by place values to multiply

Answers

Answer:

We are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.

Step-by-step explanation:

Because when we break apart a number by placing values to multiply like when we do in partial products, we are still multiplying the sum of the addends whose result is those numbers. In other words, we are multiplying those same numbers too.

Check below that Partial Products example:

[tex]46*32=\\46=(40+6)\\32=(30+2)\\(40+6)(30+2)=1200+80+180+120[/tex]

Breaking a number apart by place values then multiply gives the same product as multiply the numbers directly because under multiplication condition, each digit in a number multiplies every other digit in the other value.

Using the expression as an example :

(17 × 12)

17 = 10 + 7 (tens and unit respectively)

12 = 10 + 2 (tens and unit respectively)

17 × 2 = (10 + 7)(10 + 2)

(10 + 7)(10 + 2) = (10×10) + (10×2) + (7×10) + (7×2)

(10×10) + (10×2) + (7×10) + (7×2) = 100 + 20 + 70 + 14 = 204

Therefore, the product will give the same result always.

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WILL GIVE BRAINLIEST!

Answers

the answer will be 4000

Round 8.876 to the nearest whole number.





Answers

the first digit to the right of the decimal point is an 8, so the whole number gets rounded up the answer would be 9

Answer:

Step-by-step explanation:

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