According to the graph, what is the value of the constant in the equation
below?

Answer:

x = 25 cm

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

400 + 225 = c²

625 = c²

√625 = c

25 = c

Answer:

Step-by-step explanation:

To find the median, we need to arrange the data in ascending order:

70, 71, 72, 74

Since the data set has an even number of values, the median is the average of the two middle values. In this case, the two middle values are 71 and 72. Therefore, the median is:

(71 + 72) / 2 = 143 / 2 = 71.5

So, the median for the given set of data is 71.5.

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:

Answer:

Part A: 42        Part B: 90

Step-by-step explanation:

Part A: 6x2=12      15x2=30

              12+30= 42

Part B: LxW=A

6x15= 90

Answer:

Step-by-step explanation:

x = 3

Answer:

a) false

b) false

c) true, x = -0.75

d) true, x = x

e) false


question 2: I think it just wants you to make up your own equation

a) 1/2 (10x-6)-x = 1/2 (6x-x)

x = 2

Step-by-step explanation:

Answer:

1) 4

2) y <= 9

3) NO SOLUTION

4) 24

5) 5 cards

Step-by-step explanation:

1st pic) 2x + 7 = 15

2x + 7 = 15

      -7    -7

2x = 8

divide by 2 to isolate x

x = 4

2nd pic) y - 3 <= 6

y - 3 <= 6

  +3      +3

y <= 9

3rd pic) x + 0.5 = x + 6

x + 0.5 = x + 6

   -0.5         -0.5

x = x + 5.5

NO SOLUTION

4th pic)  5m + 10 <= 130

5m + 10 <= 130

      -10        -10

5m <= 120

divide by 5 to isolate the m

m <= 24

5th pic) 2c - 8 > 0

2c - 8 > 0

     +8   +8

2c > 8

divide by 2 to isolate the c

c > 4

Create a system of equations
40x(car speed) +20(distance already traveled) = 50x (motorcycle speed)

simplify

40x+20=50x

20=10x

x=2

2 hours

Create a system of equations

40x(car speed) +20(distance already traveled) = 50x (motorcycle speed)

simplify

40x+20=50x

20=10x

x=2

2 hours

Answer:

\($\)$\(9.75\)

Step-by-step explanation:

\(39\)÷\(4=9.75\)

Answer:

$9.75

Step-by-step explanation:

divide the money he earnd by the hours he worked

Answer:

Step-by-step explanation:

The median is 24

The median for the given set of numbers is 24.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

To find the median of the given set of numbers, we first need to arrange them in numerical order:

So,

13, 16, 22, 22, 24, 25, 26, 28, 36

Now,

The median is the middle number in the ordered list.

Since there are nine numbers in this list, the middle number is the fifth number.

Therefore,

The median is 24.

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Answer:

um where is the question? im confused

Step-by-step explanation:

Answer:

5. Eastside Middle School has 75%

Step-by-step explanation:

Answer:

The art teacher is incorrect.

Step-by-step explanation:

Coming Up with Compatible Estimate Numbers:

The teacher has 47 1/3 pounds of clay. We can round this to 50. Now we have 50 pounds of clay.

Explaining the Operations:

The teacher wanted to distribute the clay by 2.5 lbs. This means we need to divide the amount of clay by 2.5.

Performing the Operations:

Divide 50 by 2.5 ---> 50÷2.5=(5÷2.5)*10--->5÷2.5=2--->2*10=20

Final Conclusion

For every student, the art teacher plans to give 2.5 lbs of clay. This means he will divide his 47 1/3 pounds by 2.5 piles and hand them out to the students. If we round 47 1/3 to 50 (about 2 points higher) and divide 50 by 2.5, you get 20. This means he would have a little less than enough clay for 20 students, not 9. Therefore, the art teacher is incorrect.

****ANOTHER POSSIBLE SOLUTION****

You can also multiply 9 x 2.5 and see if the product is close to 47 1/3. In this case, you can round 2.5 to 3 and proceed with the multiplication. 9*3=27 Since 27 is a lot lower than 47 1/3, the art teacher is incorrect.

Answer: 76m

Step-by-step explanation:

First, start by splitting the figure into 2 smaller rectangular prisms; this can be done vertically or horizontally. I'll solve both ways so you can understand better.

Method 1: Splitting the figure into 2 rectangles vertically

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the width (2m) by the length (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 5m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 5m (the height), and the answer is 40m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 4m and you can figure out the width by subtracting 5m - 2m which gives you 3m. Now you know your base which is 4m. To solve for the height you must again subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 4 X 3 X 3. The volume of rectangular prism 2 should come out to be 36m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 40m + 36m = 76m.

Method 2: Splitting the figure into 2 rectangles horizontally

The formula for volume or a rectangular prism is V = Bh. So, you start by finding the base of rectangular prism 1, which you can solve by multiplying the length (2m) by the width (4m) which is given in the figure. This gives you 8m which is the base. Now, if you look at the figure you can see that the height is 2m, so to find the volume of rectangular prism 1, you would multiply 8m (the base) by 2m (the height), and the answer is 16m.

Next, you would solve the same way to find the volume of rectangular prism 2. The given length is 5m and the given width is 4m. Now you know your base which is 4m. To solve for the height you must subtract 5m - 2m to get 3m. To find the volume, plug the values into the formula and multiply 5 X 4 X 3. The volume of rectangular prism 2 should come out to be 60m.

The last step is to add both of these volumes together. The volume of rectangular prism 1 + volume of rectangular prism 2 = Volume of the entire figure. The final volume is 16m + 60m = 76m.

Hope this helps!

Answer:

We can simply find our answer and this is our solution

38D+41=L

Step-by-step explanation:

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

Answer:

77.5

Step-by-step explanation:

Given:

Scores: 65, 70, 75, 80, 85, 90, 95

Number of Students: 8, 5, 3, 6, 6, 4, 2

Step 1: Calculate the sum

Sum = (65 * 8) + (70 * 5) + (75 * 3) + (80 * 6) + (85 * 6) + (90 * 4) + (95 * 2)

= 520 + 350 + 225 + 480 + 510 + 360 + 190

= 2635

Step 2: Calculate the mean

Mean = Sum / Total Number of Students

= 2635 / (8 + 5 + 3 + 6 + 6 + 4 + 2)

= 2635 / 34

≈ 77.5

Answer:77.5

Step-by-step explanation:

Answer:

GCF is 18 and Factor is: 18(x-2)

Step-by-step explanation:

To Factor 18x-36, you want to find the GCF. So the GCF here is 18. So let's spilt 18 out of each term.

18x+18(-2)

18(x-2)

So the factoring answer is 18(x-2)

The GCF is 18.

Answer:18

Step-by-step explanation:

the GCF is 18.

Answer:

give me an example please

Answer:

20

Step-by-step explanation:

The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).

Now, for the similarity reason of the areas, we just square that number (3^2=9).

Then we just divide the area of the big triangle by 9, which is 180/9= 20.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The area of the △DEF is 20cm².

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given △ABC∼△DEF, therefore, the sides will be in a particular ratio,

Ratio = AB/DE = 12/4 = 3

Also, the area of △ABC is 180 square centimeters. since the area is a two-dimensional quantity it will be the product of two sides, therefore, the ratio will also be multiplied twice. Thus, the area of △DEF will be 1/9 of the area of △ABC. Hence, the area of △DEF is,

△DEF = △ABC/9

△DEF = 180cm²/9 = 20cm²

Hence, the area of the △DEF is 20cm².

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Answer:

c 13

a prime number is a number that can only be divided by itself and 1

Answer:

13 is prime

Step-by-step explanation:

It has only 2 factors: 1 and itself.

I hope it helps! :)

Rental cost for each movie: $22.25

Rental cost for each video games: $12.2

Considering area (A) of garden as 30 square feet:

30 = x(2x+7)

Now we need to expand it:

x(2x+7) = 2x^2 + 7x

2x^2 + 7x = 30

Adding this into an Algebra calculator gives us 5/2 or 2.5

So x = 2.5

To prove this:

2(2.5) + 7 = 12

14 * 2.5 = 30

Answer:

40/12 & 3 1/3

Step-by-step explanation:

honestly i can't give a good explanation, if the answer is not right, please someone comment, and i'll fix it.

Answer:

he is right i did this one

Step-by-step explanation:

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.