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2 months ago

Guest #3363

2 months ago

D does not belong because the first 3 digits of the product of the first 3 equations is 525 and for D it is not.

Question

Ken's cafe serves hot cocoa.each serving has 9 grams of chocolate.how many grams of chocolate are in 8 servings of hot cocoa?

Solution 1

Multiply 9 * 8

answer = 72 grams

answer = 72 grams

Question

Andrew ran 4 laps on Sunday and 2.2 laps on Saturday. If each lap is 1.5 miles, how far did Andrew run last weekend?

Solution 1

4 x 1.5 + 2.2 x 1.5 = 12.3

Question

Whats the answer for this problem 8x+y=-16
-3x+y=-5

Solution 1

{x,y} = {-7/4,-2}

Explanation:

System of Linear Equations entered :

[1] 8x+y=-16

[2] -3+y=-5

Equations Simplified or Rearranged :

[1] 8x + y = -16

[2] y = -2

Regards

Sonny

Explanation:

System of Linear Equations entered :

[1] 8x+y=-16

[2] -3+y=-5

Equations Simplified or Rearranged :

[1] 8x + y = -16

[2] y = -2

Regards

Sonny

Question

Explain why a line of best fit is helpful when analyzing data

Solution 1

It helps identify the steps

Question

Mr. Grayson owns a wood company that sells trees, wood materials, and specialty items created from wood. (Score for Question 1: ___ of 4 points) 1. One of Mr. Grayson’s customers, Zenani, is creating an art wall on which she will display some art in triangular frames. She wants three frames, each in the shape of a right triangle.
(a) For the first frame, Zenani already has two wooden pieces that are 13 in. and 16 in. long. Zenani says that since she wants the frame to be a right triangle, there’s only one possible measurement for the last piece of wood. Is Zenani right? If so, what is that last measurement? If not, explain why not and give all possible measurements for the last wood piece. Round to the nearest tenth.
(b) For the second frame, Zenani asks Mr. Grayson to double the measurements of the first triangular frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the second frame? Explain why or why not.
(c) For the third frame, Zenani asks Mr. Grayson to add the same measurement to each of the sides of the original triangle frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the third frame? Explain why or why not. Answer: (
Score for Question 2: ___ of 4 points) 2.
Mr. Grayson gets a request from a customer to buy a palm tree of a specific height. Mr. Grayson’s tree nursery is very large and is organized by a coordinate plane map system. He finds a palm tree that he thinks might meet the customer’s specifications. The tree is located at coordinates . He calls his assistant to come over to help him determine the height of the tree. He asks his assistant where she’s located. His assistant says she is located at . Each unit on the coordinate grid represents 1 ft. How far is Mr. Grayson’s assistant from the tree? Round to the nearest tenth. Show your work. Answer:
(Score for Question 3: ___ of 3 points) 3.
Mr. Grayson orders a box that has a volume of . The box is in the shape of a cube. What is the longest stick that can fit in the box? Round your answers to the nearest whole number. Answer:
Please answer All of the questions to get the points

Solution 1

Question 1:

A) No; 9.3 or 20.6.

B) Yes, because the triangles are similar.

C) No, because the triangles will not necessarily be similar.

There is not enough information to answer Questions 2 or 3.

**Explanation for Question 1**:

A) We are not told which side is the longest, so these two sides could be placed anywhere in the Pythagorean theorem. They could either be both legs, or one could be the hypotenuse:

__Hypotenuse__: 13² + b² = 16²

169 + b² = 256

169 + b² - 169 = 256 - 169

b² = 87

b = √87 = 9.3

__Both legs__: 13² + 16² = c²

169 + 256 = c²

425 = c²

√425 = c

20.6 = c

B) The two triangles will be similar, since each pair of corresponding sides will have the same ratio (2, since it is doubled). Similar triangles have the same angle measures, so this must also be a right triangle.

C) Simply adding a value to each side will not preserve similarity. For example, if we had a triangle with sides 3, 4, and 5, adding 2 to each side would give us 5, 6 and 11. These do not have the same ratios; 3/5 is not the same as 4/6 or 5/11.

A) No; 9.3 or 20.6.

B) Yes, because the triangles are similar.

C) No, because the triangles will not necessarily be similar.

There is not enough information to answer Questions 2 or 3.

A) We are not told which side is the longest, so these two sides could be placed anywhere in the Pythagorean theorem. They could either be both legs, or one could be the hypotenuse:

169 + b² = 256

169 + b² - 169 = 256 - 169

b² = 87

b = √87 = 9.3

169 + 256 = c²

425 = c²

√425 = c

20.6 = c

B) The two triangles will be similar, since each pair of corresponding sides will have the same ratio (2, since it is doubled). Similar triangles have the same angle measures, so this must also be a right triangle.

C) Simply adding a value to each side will not preserve similarity. For example, if we had a triangle with sides 3, 4, and 5, adding 2 to each side would give us 5, 6 and 11. These do not have the same ratios; 3/5 is not the same as 4/6 or 5/11.

Question

How many tons are equal to 40000 pounds

Solution 1

20 us tons ................

Question

Jason is covering an ottoman with fabric. The ottoman is in the shape of a rectangular prism that is 37 cm long, 21 wide, and 30 cm high. How much fabric is needed to cover the sides and top of the ottoman? Explain your strategy.

Solution 1

We know that

we need to calculate the surface area including only one base

surface area=area of the base+perimeter of the base*height

area of the base=37*21----> 777 cm²

perimeter of the base=2*[37+21]----> 116 cm

height of the prism=30 cm

surface area=777+116*30-----> 4257 cm²

**the answer is**

**4257 cm²**

we need to calculate the surface area including only one base

surface area=area of the base+perimeter of the base*height

area of the base=37*21----> 777 cm²

perimeter of the base=2*[37+21]----> 116 cm

height of the prism=30 cm

surface area=777+116*30-----> 4257 cm²

Question

An elevator travels 117 feet in 6.5 seconds what is the elevators speed in a unit rate

Solution 1

you would have to do out the equation of 117 divided by 6.5 which would give you 18 feet per second

Question

COMPLETING THE SQUARE
2x^2 -4x+3=9
2. QUADRATIC FORMULA
2x^2+4x=0

Solution 1

X = 3 and x = -1 are the answers for both. They are exactly the same equation.

FOR COMPLETING THE SQUARE

Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:

(2x - 1)^2 - 7 = 0

Add to both sides, take a square root and then solve.

USE THE QUADRATIC FORMULA

Be sure to solve for zero and be aware of negatives when plugging in.

FOR COMPLETING THE SQUARE

Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:

(2x - 1)^2 - 7 = 0

Add to both sides, take a square root and then solve.

USE THE QUADRATIC FORMULA

Be sure to solve for zero and be aware of negatives when plugging in.

Question

You start a business making painted flower containers. You spend 300$ on paint and 5$ on each container. You charge 20$ for each container. How many containers do you have to sell to break even?

Solution 1

Without paint, you're profiting $15 per container with the $5 original cost

300/15 = 20

300/15 = 20

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