A tart contains either 3 white, or 4 red, or 5 black cherries. A tray of 20 tarts contains 89 cherries. How many red cherries are on the tray if it contains 3 tarts with white cherries?

Answers

Answer 1
Let's use algebra to solve this problem. Let:

- x be the number of tarts with white cherries
- y be the number of tarts with red cherries
- z be the number of tarts with black cherries

From the problem, we know that each tart can only have one type of cherry. So we can set up the following system of equations:

x + y + z = 20 (the total number of tarts is 20)
3x + 4y + 5z = 89 (the total number of cherries is 89)

We also know from the problem that each tart with white cherries contains 3 cherries. So the total number of white cherries is 3x. We are looking for the number of red cherries, which is 4y.

To solve for y, we can use substitution. We can rearrange the first equation to get:

z = 20 - x - y

Then we substitute this expression for z in the second equation:

3x + 4y + 5(20 - x - y) = 89

Simplifying this equation, we get:

2x - y = -3

Now we can solve for y by isolating it on one side of the equation:

y = 2x + 3

We know that each tart with white cherries contains 3 cherries, so the total number of white cherries is 3x. We also know that each tart with black cherries contains 5 cherries, so the total number of black cherries is 5z. So we can rewrite the equation for the total number of cherries as:

3x + 4y + 5(20 - x - y) = 89

Simplifying this equation, we get:

2x - y = -3

Now we can solve for y by isolating it on one side of the equation:

y = 2x + 3

We know that each tart with white cherries contains 3 cherries, so the total number of white cherries is 3x. We also know that each tart with black cherries contains 5 cherries, so the total number of black cherries is 5z. So we can rewrite the equation for the total number of cherries as:

3x + 4y + 5(20 - x - y) = 89

Simplifying this equation, we get:
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Related Questions

Bill is playing a game. He chooses one fraction card and one decimal card that have the same value. What 2 cards might bill choose
2/3
6/8
5/4
5/6
0.6 repeating
1.5
0.75
1.3repeating
1.25
0.83
0.8
0.83repeating
1.2
0.67
1.3
1.33

Answers

Answer: To determine which fraction and decimal cards have the same value, we can convert each fraction to a decimal and then compare them to the decimal cards:

2/3 = 0.666... (repeating)

6/8 = 0.75

5/4 = 1.25

5/6 = 0.833... (repeating)

0.6 repeating = 0.666... (repeating)

1.5 = 1.5

0.75 = 0.75

1.3 repeating = 1.333... (repeating)

1.25 = 1.25

0.83 = 0.83

0.8 = 0.8

0.83 repeating = 0.833... (repeating)

1.2 = 1.2

0.67 = 0.67

1.3 = 1.3

1.33 = 1.33

From this list, we can see that Bill can choose the following two cards that have the same value:

2/3 and 0.666... (repeating)

0.6 repeating and 0.666... (repeating)

Step-by-step explanation:

Bill has a range of card pairs that all have the same value at his command. The fraction card 2/3 and the decimal card 0.67 are one such pair because both cards show the value of two-thirds. The fraction card 6/8 (which may be written as 3/4) as well as the decimal card 0.75 are another pair that could be used as both of them reflect the value of three-quarters.

Since both cards show the value of five-sixths, Bill may either select the fraction card 5/6 and the repeating decimal card 0.83 repeating. The fraction card 1.25 and the decimal card 1.25 are another pair that may coexist as both of them represent the sum of one and one-quarter.

Also, Bill has the choice to pick either the fractional card 0.75 or the decimal card 0.75, both of which denote the value of three-fourths. He might also select the decimal card 1.33, which reflects the amount of one and one-third, and the fraction card 1.3 repeating, which is similar to 4/3.

Bill has a choice of card pairs to select from, all of which reflect the same number in both fractional and decimal form.

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The dot plot below represents how long it takes students in an 8th grade math class to get to school every morning. please help me

Answers

Answer:

40

Step-by-step explanation:

Highest Value in the data set - Lowest Value in the data set = Range, so...

45 minutes - 5 minutes = 40 minutes

45 minutes - 5 minutes = 40 minutes. Therefore your answer will be 40.

When the fraction below is written as a decimal, how many digits are in the smallest sequence of repeating digits?


1/11

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

Step-by-step explanation:

D

The answer your looking for is D. 3

I need help this is due today

Answers

A is the correct answer
A is the correct answer

Pls solve with all steps shown

Answers

Answer:

just do 4in + 2.5 and 5 + 2.5

Step-by-step explanation:

4+2.5=6.5 and 5 + 2.5=7.5

Find the probability of neither showing
multiple of 3 nor multiple of 4 on the second die

Answers

Answer:

the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722

Step-by-step explanation:

To find the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die, we need to first determine the sample space of possible outcomes.

The sample space of rolling two dice is given by all possible pairs of numbers from 1 to 6, which has a total of 6 x 6 = 36 possible outcomes.

Out of these 36 possible outcomes, there are 12 outcomes where the second die shows a multiple of 3 (namely 3, 6, and 9), and 9 outcomes where the second die shows a multiple of 4 (namely 4 and 8).

However, we must note that there are two outcomes where the second die shows both a multiple of 3 and a multiple of 4, namely (3,4) and (6,4). We need to subtract these two outcomes from our total count.

Therefore, the number of outcomes where the second die shows a multiple of 3 or a multiple of 4 or both is 12 + 9 - 2 = 19.

The number of outcomes where the second die does not show a multiple of 3 or a multiple of 4 is the complement of the above count, which is 36 - 19 = 17.

Therefore, the probability of neither showing a multiple of 3 nor a multiple of 4 on the second die is 17/36, or approximately 0.4722.

Is this figure a polygon? Explain.

Answers

Answer: No.

Step-by-step explanation:

       A polygon is a closed shape with no curved side. We see four curved sides in this shape, so this figure is not a polygon.

2-step equation(explination need please and thank you )

x-4/3>10

Answers

Answer:

x > 7.5

Step-by-step explanation:

1. Multiply the reciprocal of 4/3 to both sides (3/4)

- x> 10/1 x 3/4

- x >30/4

2. Simplify the equation:

- x > 30/4

- x > 7 2/4

7 2/4 - 7.5

ANSWER = x > 7.5

Covert the following fractions to decimals using long division:​

Answers

Answer:

Step-by-step explanation:

1. 0.4

2. 0.33

3. 0.78

4. 0.82

Answer:

1. 0.4

2. 0.33.....

3. 0.78

4. 0.82

Step-by-step explanation:

1)2÷5

2)1÷3

3)7÷9

4)9÷11

The area of this figure = _______ m2.
a right triangle with long side of 11 meters, short side of 7 meters
5.0
38.5
18.0
77.0

Answers

Answer:

area=38.5 m^2

Step-by-step explanation:

11×7=77

77÷2=38.5

area=38.5m^2

help me it due in 30 min

Answers

Answer:

(geometry) A parallelogram having all sides of equal length

Yes! Squares are rhombus’ because they are quadrilaterals with 4 congruent sides

Solve below pls show work

Answers

Answer:

i believe its 90cm^2

Step-by-step explanation:

20x3/4=15 (reduce side 1)

8x3/4=6 (reduce side 2)

6x15=90 (multiply the sides to find the area)

90cm^2 is the answer

Darrel has 200 cm2 of wrapping paper. Which object below can be wrapped with the least amount of paper left over?

Answers

The answer should be C, please tell me if I'm wrong.

Answer:

C

Step-by-step explanation:

Ok yea

SPAM AND ILL DELETE UR ANSWER! GIVING 72 POINTS! PLEASE HELP ME!!! What conclusion can be determined from the dot plot below? A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12. (3 points) The number of observations is 10. The median of the data set is 10. The mean of the data set is 15. The range of the data set is 12.

Answers

Answer:

The conclusion that can be determined from the dot plot is that:

The number of observations is 15, as there are 5+6+3+1=15 dots in total.

The median of the data set is 10, as it is the middle value when the data is arranged in order.

The mean of the data set cannot be determined from the dot plot.

The range of the data set is 12, as it is the difference between the highest value (12) and the lowest value (9) in the data set.

Hope this Helps!

The conclusion that can be determined from the dot plot is that:
The number of observations is 15, as there are 5+6+3+1=15 dots in total.
The median of the data set is 10, as it is the middle value when the data is arranged in order.
The mean of the data set cannot be determined from the dot plot.
The range of the data set is 12, as it is the difference between the highest value (12) and the lowest value (9) in the data set.

Please answer the question

Answers

Answer:

the water tower is 143 3/4 feet

Step-by-step explanation:

5ft 9in height

4ft silhouette

Convert 9in to ft = 9/12 so height = 5 9/12 = 23/4

Ratio of height to silhouette is (23/4) / 4

X = 100 the height of the building

Set up a proportion (23/4)/4 = X/100

X = 143 3/4 ft

the water tower is 143 & 3 fourths

A plane intersects a right rectangular pyramid. The base of the pyramid has a length that is twice its width. Which of the following shapes could describe the intersection of the plane and the pyramid?

Responses

a square

a triangle

a trapezoid

a non-square rectangle

a non-regular pentagon

Answers

It’s c I promise I did this before

Answer: CCCCCCCCC

Step-by-step explanation:

PLEASE HELP! DUE TODAY

Answers

Answer: Count all the sides and the answer will be 4.5+2+2+4+5.5+1.5+1+7.5, which is equal to 26.5 (I think, I didn’t use a calculator)

The perimeter of the figure shown on the coordinate plane is 56 units.

What is Perimeter?

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given is a figure.

Perimeter of a figure is the total length of the boundary.

We have to find the length of each of the sides and then add it to get the perimeter.

Each line on the coordinate plane represents 2 units.

Perimeter adding the sides from the bottom, we get,

Perimeter = 2 + 3 + 11 + 8 + 4 + 4 + 9 + 15

                 = 56 units

Hence the perimeter of the figure is 56 units.

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Which angle is complementary to CFD?

Answers

Answer:

Step-by-step explanation:

Of the students at Milton Middle School, 216 are girls. If 60% of the students are girls, how many total students are there at Milton Middle school?

you will be the brainliest

Answers

Answer:

360

Step-by-step explanation:

x*60/100=216

60x=21600

x=21600/60

x=360

Answer:

360 students are thee in Milton Middle School.

Step-by-step explanation:

Number of girls in Milton Middle School = 216

Percentage of girls in Milton Middle School = 60%

From the above information we can know that 216 = 60% of Milton Middle School.

1% of students in the school = 216/60

                                                 = 3.6

100% of students in the school = 3.6 * 100

                                                      = 360 students


                                     Or

Total number of students in Milton Middle School = 216/60 * 100

                                                                                       = 216/6 * 10

                                                                                       = 36 * 10

                                                                                        = 360 students


Please mark my answer as the BRAINLIEST. Plsssssssssssssssss

Hope my answer helps you.

:)

Question Solve for x. −43x+16<79 Drag and drop a number or symbol into each box to correctly complete the solution. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. x Response area Response area

Answers

Answer:

Step-by-step explanation:

The equation y=2000x represents the number of miles, y, that the satellite Space Explorer flies in x hours. Find the rate of change.

Answers

Answer: 2000 miles in 1 hour.

solve systems using elimination (x + 5y= 28) ( -x - 2y = -13)

Answers

y=5 if im not wrong

srry this needs to be 20 chars long for me to post it

Answer:

5

Step-by-step explanation:

5y=28-x

x=-2y+13

5y=28+2y-13

5y=15+2y

3y=15

y=5

write 1 half and two thirds as fractions with denominators of 6. Then add the renamed fractions. Write the answer as a mixed number

Answers

Answer:

Step-by-step explanation:

1/2 = 3/6 (1x3 and 2x3 to make the denominator 6) 2/3 = 4/6 (2x2 and 3x2 to make the denominator 6) 3/6 + 4/6 equas 7/6. 7/6 equals 1 1/6 as a mixed number

Pls solve and show each step

Thx

Answers

The perimeter of triangle MNO is given as follows:

17.2 in.

What are similar triangles?

Similar triangles are triangles that share these two features listed as follows:

Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.

Applying the Pythagorean Theorem, the side length x of triangle MNO is given as follows:

x² = 4² + 6²

x² = 52

x = square root of 52

x = 7.2 in.

Hence the perimeter of triangle MNO is given as follows:

4 + 6 + 7.2 = 17.2 in.

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A line on a graph is represented with the equation y= -3x-9. What is the equation for the image of this line after a reflection over the mirror line y=x ?

Answers

Answer:

O y=-1/3x-3 is the answer i think

Which of the following tables represents a linear relationship that is also proportional?


x −1 2 5
y −1 0 1

x −2 −1 0
y −1 0 1

x −2 −1 0
y −4 −2 0

x −4 −2 1
y −2 0 3
please be frl!!

Answers

Answer:

x -2 -1 0

y -4 -2 0

Here, y = 2x.

This linear relationship is also proportional.

Need help ASAP will give Brainliest to the first one that answers

Answers

Answer:

Veggies = 700

Fruit = 300

Carbs = 500

Protein = 500

Protein is 500
Veggies is 700
Carbs is 500
Fruits is 300

find the area of the faces of the prism

Answers

Answer:

I think it's 90

Step-by-step explanation:

multiply base x height (9x5)

which = 45

and then multiply that by 2

which = 90

i hope this helped.

90 4 sure is the answer

A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.

Part A: How many square miles does two-way radio A cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)

Part B: How many square kilometers does two-way radio B cover? Use 3.14 for π and round to the nearest whole number. Show every step of your work. (3 points)

Part C: If 1 mile = 1.61 kilometers, which two-way radio covers the larger area? Show every step of your work. (3 points)

Part D: Using the radius of each circle, determine the scale factor relationship between the radio coverages. (3 points)

Answers

Answer:

don't copy this word for word, but here's the answers and reasons you can use
also mark me brainliest if this helps pls

Step-by-step explanation:

Part A:

The area covered by a circle is given by the formula:

A = πr^2

where r is the radius of the circle.

For two-way radio A, the radius is 3 miles. So we have:

A = π(3)^2

A ≈ 28.27 square miles

Therefore, two-way radio A covers approximately 28 square miles.

Part B:

For two-way radio B, the radius is 6.44 kilometers. However, the formula for the area of a circle uses the squared value of the radius, so we need to square 6.44:

A = π(6.44)^2

A ≈ 130.23 square kilometers

Therefore, two-way radio B covers approximately 130 square kilometers.

Part C:

To compare the two areas, we need to convert the area covered by two-way radio A to kilometers:

1 mile = 1.61 kilometers

So 3 miles is equivalent to:

3 miles x 1.61 kilometers/mile = 4.83 kilometers

The area covered by two-way radio A in square kilometers is:

A = π(4.83)^2

A ≈ 73.03 square kilometers

Comparing the areas, we see that two-way radio B covers the larger area.

Part D:

The scale factor relationship between the radio coverages is the ratio of their radii. Using the given conversion factor, we can convert the radius of two-way radio A to kilometers:

3 miles x 1.61 kilometers/mile = 4.83 kilometers

So the scale factor relationship is:

4.83 km (radius of two-way radio A) / 6.44 km (radius of two-way radio B)

= 0.75

This means that the coverage area of two-way radio B is approximately 0.75 times the coverage area of two-way radio A.

Given that A couple of two-way radios were purchased from different stores. Two-way radio A can reach 3 miles in any direction. Two-way radio B can reach 6.44 kilometers in any direction.

A) two way radio A can cover 28 square miles. (using area of circle)

B) two way radio B can cover 132 square kilometer.  (using area of circle)

C) Area of coverage of radio B is more.

D) Using the radius of each circle, the scale factor relationship between the radio coverages of A and B is 3:4.

Area of a circle is given by the formula [tex]\pi r^2[/tex].

A) radius of radio A = 3 miles

Area of coverage = [tex]\pi r^2 = 3.14 *3*3 = 28.26[/tex] sq miles

B) radius of radio B =  6.44 km

Area of coverage = [tex]\pi r^2 = 3.14 *6.44*6.44 = 130.22[/tex] sq km

C) 1 mile = 1.61 km

1 sq mile = 1.61 km * 1.61 km = 2.5921 sq km

Area of coverage of radio A = 28.26 sq miles = 28.26 *2.5921 = 73.25 sq km

On comparison, area of coverage of radio B is more.

D) 1 mile = 1.61 km

radius of radio A = 3 * 1.61 = 4.83 km

scalar factor relationship between radio A and B = [tex]\frac{4.83}{6.44} = 3:4[/tex]

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WILL GIVE BRAINLIESTT!! 13 Points! HURRYYY! Madison is monitoring the temperature over several hours.
Loook at pic attachment.


Her data are shown in the table. She draws a line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.



Describe the meaning of the slope and y-intercept in this context

A. The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees

B. The slope applied to this situation is the temperature drops 6.2 degrees per hour The y-intercept means at hour 1, it was a temperature of 6.2 degrees

C. The slope applied to this situation is the temperature drops 64 degrees per hour. The y-intercept means at hour 0, it was a temperature of 6.4 degrees

D. The slope applied to this situation is the temperature drops 6.2 degrees per 2 hours. The y-intercept means at hour 2, it was a temperature of 64 degrees

Answers

Answer:

Step-by-step explanation:

The correct answer is A.

In the context of this situation, the slope of -6.2 means that the temperature drops 6.2 degrees for every hour that passes. The negative sign indicates that the temperature is decreasing over time.

The y-intercept of 64 means that at hour 0 (the start of recording data), the temperature was 64 degrees. This is the initial value of the temperature, before any time has passed.

The slope and y intercept describes that

The slope applied to this situation is the temperature drops 6.2 degrees per hour. The y-intercept means at hour 0 (start of recording data), it was a temperature of 64 degrees.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

The line of best fit with the equation y = -6.2x + 64, where x represents the hour and y represents the temperature.

As, we know that the slope shows the rate of change of one quantity with respect to another quantity.

Here, the slope -6.2 tells us that the  temperature drops 6.2 degrees per hour.

and, the y intercept tells us that at 0 hour the temperature is 64 degree.

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