12. What property of multiplication is illustrated in 9 x 7=7 x 9?
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Answer:

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[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]

Now, the value of the angles,

[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]

[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

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Answer:

33 units^2

Step-by-step explanation:

42 is the whole area and the triangle area is 9

so 42-9=33

Step-by-step explanation:

hope it is helpful to you

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any right triangle.

The equation for the Pythagorean Theorem is:

[tex]a^{2}+ b^{2} = c^{2}[/tex], in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

[tex]9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP[/tex]

So, we get our answer to be 15.

The length of HP is 15.

#teamtrees #PAW (Plant And Water)

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

[tex]V=s^3[/tex]

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]

Using a calculator: [tex]\frac{729}{91.125} =8[/tex]

Hence, 8 smaller boxes can fit inside of the larger box

=======================================================

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.

Answer:

The restaurant cooked 3/10 as many cashews on Tuesday

Step-by-step explanation:

If the word problem says that they used 3/5 of a bag of cashews on Monday, and they used 1/2 AS MANY.

So "as many" gives us a clue to multiply.

3/5 * 1/2 = 3/10

So the restaurant cooks 3/10 bag of cashews on Tuesday

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

[tex]P=5l[/tex] where l is the side length

Plug in the side length 7.6 cm

[tex]P=5(7.6)\\P=38[/tex]

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

[tex]A=\frac{1}{2} Pa[/tex]

Plug in the perimeter (38) and the apothem (5.2)

[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

Answer:

Answer is A.

Step-by-step explanation:

x^2-15x-16

x^2+x-16x-16

x(x+1)-16(x+1)

(x+1)(x-16)=0

x=-1 and x=16

Answer:

alternate exterior angles

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Answer:

A. 6(4a²-2)

Step-by-step explanation:

Got it correct… You’re welcome.

Answer:

8,100

Step-by-step explanation:

To get the area of a square you must multiply one length by width 90 x 90 = 8100

The area of the infield with each side 90 feet long is,

⇒ Area of the infield = 8100 feet²

The multiplication means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed by a process of repeated addition.

We have to given that;

The infield of a baseball diamond is shaped like a square.

And, Each side is 90 feet long.

Hence, The area of the infield is,

⇒ Area of the infield = side²

Here, We have;

Side of infield = 90 feet

Hence, We get;

⇒ Area = 90²

⇒ Area = 90 x 90 feet²

⇒ Area = 8100 feet²

Therefore, We get the correct answer is;

The area of the infield with each side 90 feet long is,

⇒  Area of the infield = 8100 feet²

Learn more about the multiplication visit:

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Answer:

75—the profit

Step-by-step explanation:

simply subtract the cost price from selling price

325-250=75

Answer:

$75

Step-by-step explanation:

Calculating profit or loss:

Selling price - Cost price

The profit or loss

= 325-250

= +$75

∴ It has a profit of $75.

Answer:

20

Step-by-step explanation:

Subtract the 2 from the width of 7, and then multiply the height by the width.

4x5=20

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

Answer:

around 5.5 inches

Step-by-step explanation:

34.48 = 2rπ

34.48/π = 2r = around 11

r = 11/2

The radius of the circle is equal to 5.49 inches.

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

here, we have,

Given here:

Circumference as 34.48 inches and π=3.14

Now circumference of the circle is given by

2πr=34.48

r=34.48/2×3.14

r=5.49 inches

Hence, The radius of the circle is equal to 5.49 inches.

Learn more about circumference here:

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Answer:

1.42

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Step 1: convert 3 1/3 to improper fraction. Use thus rule a b/c=ac+b/c. 5 divided by 3x3x+1/3

step 2: simplify 3x3 to 9 5 divided by 9+1/3

Step 3: simplify 9+1 to 10. 5 divided by 10/3

Step 4: use the rule a divided by b/c=axc/b 5x3/10

Step 5: use this rule: axb/c=ab/c 5x3/10

Step 6: simplify 5x3 to 15 so 15/10

Step 7: simplify to 3/2

Last step: Convert to a mixed fraction.. Which would leave us with 1 1/2 or 1.5 in decimal form.

Hope this helps! :)

Answer:

plug in the day to the equation:

November 1st is day 305, so November 24th would be day 328

y = 116.65 sin(0.02(328) +1.89) + 731.71

= 116.65 sin(8.45) + 731.71

= 828.247 minutes of daylight

≈ 13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)

Answer:

50600

Step-by-step explanation:

40/100×5500

=2200×2300×100

=50600

If its right brainyest pls

Answer:

Step-by-step explanation:

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Answer:

I can answer the type of angle: Acute

Step-by-step explanation:

It's less than 90 degrees, so it's [tex]acute.[/tex]

Answer:

The answer is 17.4.

Step-by-step explanation:

Mean is the average of all the numbers. To do this, you have to add up all the numbers then divide by how many numbers there are.

First, let's add up all the numbers.

11+14+15+16+16+18+20+20+22+22 = 174!

Next, let's divide the numbers by how many numbers there are. There are 10 numbers in total.

174÷10 = 17.4

Hope this helps! :3

Answer:

17.4

Step-by-step explanation:

To find the mean of a data set, add all numbers. Then, divide the sum by how many numbers are present.

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

There are 10 numbers, so divide 174 by 10.

174 / 10 = 17.4

Therefore, 17.4 is the mean of the data set.

Answer: n= -9

Step-by-step explanation:

5n-7=-52

5n = -52+7

5n=-45 (divide both sides)

n= -9

3 Answers

The correct box plot is shown below.

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Explanation:

The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.

For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.

You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers

Note: the median is the vertical bar inside the box of the box-and-whisker-plot.

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Once you have the median, break the list into two halves like so:

L = {25,25,30,30,35,35,40,45,50}

U = {60,60,60,70,85,90,95,95,105}

L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.

Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.

The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers

The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.

--------------------------------

To summarize his 3 mistakes, they are:

The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.

See the attached image below to see how Billy should have drawn the box plot.

Answer:

show the options

Step-by-step explanation:

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Answer:

Step-by-step explanation: