5. The shaded area is 327, find r.

Answer:

247

Step-by-step explanation:

Hello!

We can begin by finding the average and median before two numbers are removed.

(9 + 13 + 15 + 17 + 19 + 23 + 31 + 49) / 8  = 22

And the median!

(17 + 19)/ 2  =  18

Since we know that the average and median will increase by 2, we will have the median after removal as 20, and the average, 24.

For the average, we can see that the total must be 144, that's what 24 * 6 is.

19 must have been one of the numbers because (17 + 23) / 2  = 20.

That's 32 less than the original sum of 176.

So if one of the removed numbers is 19, the other must be 13.

13 * 19 = 247

Thus, the product of the removed numbers are [tex]\boxed{247}[/tex].

Hope this helps!

Step-by-step explanation:

a. 6 * (-3) = - 18

b. (-5) * 4 = - 20

c. (-9) * (-2) = 18

Answer:

5.5%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

[tex]r=\frac{I}{Pt}[/tex]

I = interest amount

P = principal amount

t = time (years)

The first step is to find the interest gained from the investment.

[tex]3,123.75-2,450=673.75[/tex]

Next, plug in the values into the equation:

[tex]r=\frac{673.75}{(2,450)(5)}[/tex]     Multiply the bottom values

[tex]r=\frac{673.75}{12,550}[/tex]         Divide the values

[tex]r=.055[/tex]

The last step is to convert 0.055 into a percent:

[tex]0.055(100)=5.5[/tex]

The interest rate is 5.5%

Answer:

(m+5) (m-9) = 0

Step-by-step explanation:

An equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given that, the solutions of an equation are m = -5, and m = 9, we need to find the equation,

(m + 5) (m - 9) = 0

One possibility is that of a quadratic equation.

y = (m + 5) (m - 9)

y = m² - 9m + 5m - 45

y = m² - 4m - 45

Hence, an equation with solutions of m = –5 and m = 9 is y = m² − 4m − 45.

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Answer:

letter C

Step-by-step explanation:

She substitue the X-Intercept, (3,0), for B

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Answer:

3:20 pm.

Step-by-step explanation:

Time Yasmin got home: 4:25

Time it took to walk home: 15 minutes

Practice started: 20 minutes after bell.

Practice lasted for 30 minutes.

For us to find this out, you have to calculate all the activities.

An hour is 60 minutes.

A half hour is 30 minutes.

15 + 20 + 30 = 65 minutes.

65 minutes = an hour and five minutes.

4:25 - 1:05 = 3:20.

Feel free to let me know if you need more help! :)

Answer:

3:20 p.m

Step-by-step explanation:

Answer:

36 feet squared

Step-by-step explanation:

Finding the perimeter of an object is adding all of the sides together. If the width of the rug is 6 feet then we know that there are two sides that length. Add those together.

6 feet + 6 feet = 12 feet

You would subtract the number you get from the perimeter.

24 feet - 12 feet = 12 feet

And then divide the number by the number of sides left, 2, to get each of their lengths.

12 feet / 2 feet = 6 feet

To find the area of a rectangle you multiply length times width, which in this case both are 6 feets.

6 feet x 6 feet = 36 feet squared

Answer:  24

Step-by-step explanation:  The first few multiples of 8 are: 8, 16, 24, 32, 40, and 48. The first multiples of 12 are: 12, 24, 36, 48, 60, and 72.

...

Step 1: List the Multiples of Each Number.

Answer:

Step-by-step explanation:

Solution:-

- We will denote:

          Number of Lions = x

          Number of bears = y

          Number of elephants = z

          Any other animal = T

- Now we will mathematically each statement given by the trainer.

Statement 1:

"7 times as many lions than other animals (not lions)."

- There were 7 times as many lions than any other animals i.e ( bears and elephants). So we can express:

                       x = 7*( x + y + T)   .... E 1

Statement 2:

"there were a seventh as many bears as other animals"

- There were 1/7 as many bears than any other animals i.e ( lions and elephants). So we can express:

                       y = (x+z+T) / 7  ... E2

- Now combine two decrypted mathematical expressions.

                       x + y + z = T

                       7T + T/7 + z = T

Answer:

the answer is b.

Step-by-step explanation:

Answer: 3

15(3)-15=30

45-15=30

30=30

15x-15=30

15x=45

x=3

Answer:

Step-by-step explanation:

[tex]\sf 15x-15=30[/tex]

[tex]\sf 15x-15+15=30+15[/tex]

[tex]\sf 15x=45[/tex]

[tex]\sf \frac{15x}{15}=\frac{45}{15}[/tex]

[tex]\sf x=3[/tex]

Final answer:

Solving the proportions, we find that the lengths, width, and height of the smaller prism are 3 feet, 2 feet, and 3 feet respectively.

Explanation:

Given:

Lengths of the larger prism: 4 feet, 3 feet, 4 feet

Dimensions of the stacked prisms: 4 feet, 3 feet, 2 feet

Let: The lengths, widths, and heights of the smaller prism be L, W, and H respectively.

Two proportions:

4/L = 4/3

3/W = 3/2

Solving the proportions, we find that the lengths, width, and height of the smaller prism are 3 feet, 2 feet, and 3 feet respectively.

Answer:

a) [tex]\sqrt{64+x^2}[/tex]

b) 15

Step-by-step explanation:

a) We know that AB = 8 and BC = x. We can use the Pythagorean Theorem, which states that for a right triangle with sides a, b, and c: [tex]a^2 +b^2=c^2[/tex] , where a and b are the shortest sides and c is the longest.

Here, AB = a = 8 and BC = b = x. So, AC = c. Then:

[tex]AB^2+BC^2=AC^2[/tex]

[tex]8^2+x^2=AC^2[/tex]

[tex]AC=\sqrt{64+x^2}[/tex]

b) We know that AC - AB = 9. Since AB = 8, then AC = 9 + 8 = 17. We also have the expression from above, so set them equal:

[tex]AC=\sqrt{64+x^2}=17[/tex]

[tex]64+x^2=289[/tex]

[tex]x^2=225[/tex]

x = 15

Hope this helps!

Answer:

sqrt(x^2 +64) = AC

x = 15

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 =c^2  a and b are the legs and c is the hypotenuse

We know the legs are x and 8

x^2 + 8^2 = AC^2

x^2 + 64= AC^2

Solving for AC

Take the square root of each side

sqrt(x^2 + 64) = sqrt(AC^2)

sqrt(x^2 +64) = AC

We are given AC - AB = 9

We know AB = 8

AC -8 =9

Add 8 to each side

AC -8+8 = 9+8

AC = 17

AC is the hypotenuse,

x^2 + 64= AC^2

x^2 +64 = 17^2

x^2 +64 = 289

Subtract 64  from each side

x^2 +64-64 = 289-64

x^2 =225

Take the square root

sqrt(x^2) = sqrt(225)

x =15

Answer:

2401

Step-by-step explanation:

7 * 7 * 7 * 7 = 2401

Answer:

70 degrees

Step-by-step explanation:

The adjacent angles in a parallelogram are supplementary and add to 180 degrees

∠CDE+∠DEF=180

We know that ∠CDE is 110 degrees, so we can substitute that in

∠CDE+∠DEF=180

110+∠DEF=180

Subtract 110 from both sides

∠DEF= 70

So, ∠E is 70 degrees

Answer:

20

Step-by-step explanation:

Hi there,

To find the least common multiple (LCM) of 2 numbers, I would recommend listing off a few multiples of each number. Since they are small, it shouldn't be too hard.

Multiples of 4:

4, 8, 12, 16, 20

Multiples of 5:

5, 10, 15, 20

As you can see, the first multiple that 4 and 5 both share is 20. So the least common multiple of 4 and 5 20.

Answer:

45ft

Step-by-step explanation:

The remaining piece has to be found. How far away is the end of the pole from the base of the pole along the ground.

We deduct original to broken 81-28 = 53 feet tall.  

PT + to find the other side.

53^2 - 28^2 = S^2

√2025 = 45 = S^2

S^2 = 45ft

Answer:

44.057 to nearest hundredth

44.06

Answer:

n/5 +12

Step-by-step explanation:

Answer:

3 : 6 : 1

Step-by-step explanation:

The common multiple between these numbers is 9, so divide everything by nine.

Answer:

3:6:1

Step-by-step explanation:

27/9=3

54/9=6

9/9=1

3:6:1

I hope this helps!

The length of the major arc LNM, in terms of pi, is 29π/6 yards.

The circle has a radius of 3 yards and the central angle m∠LKM is 70°. Since the question asks for the length of the major arc LNM, we first need to calculate the angle of the major arc. The angle of a full circle is 360°, so the angle of the major arc will be 360° - 70° = 290°.

To find the arc length, we use the formula for arc length (l) which is: l = rθ (in radians). We must convert the angle from degrees to radians by multiplying by π/180. So, 290° becomes (290π/180) radians.

Now, compute the length of the major arc LNM: l = 3 yd * (290π/180) = (870π/180) yd, which simplifies to: 29π/6 yd. Thus, the length of the major arc LNM, in terms of π, is 29π/6 yards.

Transformation involves changing the position of a shape

The coordinates of Y' are (-5, 5)

The vertices are given as:

X(2, 4), Y(-3, 4), and Z(-3,1)

The transformation rule is given as:

(x, y) → (x - 2, y + 1)

For vertex Y, we have:

(-3, 4) → (-3 - 2, 4 + 1)

Simplify

(-3, 4) → (-5, 5)

Hence, the coordinates of Y' are (-5, 5)

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Answer:

1)

90g strawberry jelly

6 sponge fingers

315ml custard

135g tinned fruit

2) 260 cm²

Step-by-step explanation:

1) 120/4 × 3

90g strawberry jelly

8/4 × 3

6 sponge fingers

420/4 × 3

315ml custard

180/4 × 3

135g tinned fruit

2) area = base × height

= 20 × 13

= 260 cm²

Answers and Step-by-step explanations:

1. Let's find the amount of each ingredient we need for 1 person, and then multiply that by 3 later.

strawberry jelly: we have 120 grams for 4 people, so for 1 person, we need 120/4 = 30 grams

sponge fingers: we have 8 of these for 4 people, so for 1 person, we need 8/4 = 2 sponge fingers

custard: we have 420 mL for 4 people, so for 1 person, we need 420/4 = 105 mL

tinned fruit: we have 180 grams for 4 people, so for 1 person, we need 180/4 = 45 grams

Now, multiply each of these by 3 to find the amount needed for 3 people:

strawberry jelly: 30 grams * 3 = 90 grams

sponge fingers: 2 sponge fingers * 3 = 6 sponge fingers

custard: 105 mL * 3 = 315 mL

tinned fruit: 45 grams * 3 = 135 grams

2. The area of a parallelogram is calculated by the formula: A = Bh, where B is the base length (usually a side length) and h is the height perpendicular to the base. Here, we see that have two potential base lengths: 20 and 15. However, looking at the height, it's only perpendicular to the base with length 20, so we know that B = 20 and h = 13.

Plugging these into the formula, we get: A = 20 * 13 = 260 cm squared.

Hope this helps!

Step-by-step explanation:

Hello there!

Solve for x:

-3x(x-8)-7x=12

-3x^2+24x-7x=12

-3x^2+17x+12=0

Can you factor it further?Feel free to ask questions in the comments.

:)

Answer:

6 laps

Step-by-step explanation:

Jeffery needs to run 3 laps.

To find the number of laps that Jeffery needs to run, we can set up a proportion. We know that 1 lap is equal to 1 tenth of a mile, so we can set up the following proportion:

1 lap / 1 tenth mile = x laps / 3 fifths mile

Cross-multiplying and solving for x, we get:

x = (1 lap * 3 fifths mile) / (1 tenth mile)

x = 3 laps / 1 lap

x = 3

Therefore, Jeffery needs to run 3 laps.

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Answer:

i think, it is option c.

Answer:

see the explanation

Step-by-step explanation:

The complete question is

The dimensions of the square pyramid are

Base: 40 inches

Height: 12 inches

step 1

Find the volume of the square pyramid

The volume of the square Pyramid is given by the formula

[tex]V=\frac{1}{3}b^2h[/tex]

where

b is the length side of the square base

h is the height of the pyramid

we have

[tex]b=40\ in\\h=12\ in[/tex]

substitute

[tex]V=\frac{1}{3}(40)^2(12)[/tex]

[tex]V=6,400\ in^3[/tex]

step 2

Find the volume of sand

Multiply the number of bags of sand by the volume of each bag

so

[tex]3(1,200)=3,600\ in^3[/tex]

step 3

Compare the volume of the sand with the volume of the square pyramid

3,600 < 6,400

therefore

Kaytlyn has not enough sand to build the castle

Answer:

$ 2.50

This is the right answer for ed2020

Answer:

$2.50

Step-by-step explanation:

Bc yeah <3

Answer:

The correct option is;

a. F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex]

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line [tex]\overline{AA'}[/tex] as the  dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of [tex]\overline{AA'}[/tex] because line [tex]\overline{EG}[/tex] bisects [tex]\overline{AA'}[/tex].

Answer:

A

Step-by-step explanation: i got it right on edge