MATHEMATICS HIGH SCHOOL

A chef prepared five chocolate tortes for a dinner party. The guests consumed 2 5/16 tortes. How manytortes are left?
A. 3 11/16
B. 2 9/16
C. 3 9/16
D. 2 11/16

Answers

Answer 1
Answer: If you would like to know how many tortes are left, you can calculate this using the following steps:

five chocolate tortes - 2 5/16 tortes = 5 - 2 5/16 = 5 - 37/16 =  80/16 - 37/16 = 43/16 = 2 11/16

The correct result would be D. 2 11/16.
Answer 2
Answer:

Number of left tortes are, 43/16

We have to given that,

A chef prepared five chocolate tortes for a dinner party.

And, The guests consumed 2 5/16 tortes.

Now, Number of left tortes are,

⇒ 5 - 2 5/16

⇒ 5 - 37/16

⇒ (80 - 37) / 16

⇒ 43/16

Therefore, Number of left tortes are, 43/16

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In a port, the median weight of a container is 4,700 lbs, with a standard deviation of 500 pounds. 14% of the containers weigh more than 5,900 pounds.Why can't this data be represented by a normal distribution?

Because the containers are too heavy.
Because the standard deviation is too small.
Because the standard deviation is too big.
Because we don't know the number of containers.

Answers

A normal distribution works best for a very large sample size. Without knowing the number of containers, it's difficult to say whether or not it's an appropriate model for representing the distribution of container weights.

Answer:

Because the standard deviation is too small.

Step-by-step explanation:

i took this test and got it right

The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.

Answers

Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find

Let \; x \; be \; length \; of \; the \; rectangle

Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\n given \; about \; the \; rectangle

Statement \; 1: Width \; of \; a \; rectangle \; \nis \; 61cm \; more \; than \; the \; length\n\nWidth \; = \; 61+x\n\nStatement \; 2: \; The \; perimeter \; is \; 406cm\n\nPerimeter=2(Length+Width)\nPerimeter =2(x+61+x)\n\nSo \; the \; mathematical \; equation \; would \; be \n 2(x+61+x)=406

Step \; 3: \; Solve \; the \; equation \; by  \n undoing \; whatever \; is \; done \; x.\n\n2(x+61+x)=406\nGroup \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\n\n2(2x+61)=406\nDistribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\n\n4x+122=406\nSubtract \; 122 \; on \; both \; sides\n\n4x+122-122=406-122\nSimplify \; on \; both \; sides\n\n4x=284\nDivide \; on \; both \; sides\n\n(4x)/(4)=(284)/(4)\nSimplify \; fractions \; on \; both \; sides\n\nx=71

Conclusion:\nLength=x=71cm\nSubstituting \; 71 \; for \; x \; and \; find \; Width \; value.\nWidth=61+x=71+61=132cm\n\nLength \; is \; 71 cm \; and \; Width \; is 132cm

Final answer:

The length of the rectangle is 71 centimeters and the width is 132 centimeters.

Explanation:

To find the length and width of the rectangle, we can set up a system of equations. Let's denote the length of the rectangle as L and the width as W. We know that W = L + 61. The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we have 406 = 2L + 2(L + 61). Simplifying this equation, we get 406 = 4L + 122. Subtracting 122 from both sides, we obtain 284 = 4L. Dividing both sides by 4, we get L = 71. Finally, substituting the value of L into the equation W = L + 61, we find W = 71 + 61 = 132. Therefore, the length of the rectangle measures 71 centimeters and the width measures 132 centimeters.

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If the volume of a cube is 27 cubic meters, find the surface area of the cube

Answers

The formula for surface area of a cube is 6*e*e or 6e squared.

The formula for volume is e*e*e

The answer to your question would be 3 because 3*3*3 then 9*3=27 

Answer:

54square meters

Step-by-step explanation:

Volume of cube = a^3

27=a^3

a=∛27

a=3

Surface area of cube = 6a^2

Surface area=6*3^2

Surface area=6*9

surface area=54

The graph below shows the distance (y) between Hannah and her home, in km, after a certain time (x), in hours:Which of the following statements best describes Hannah"s distance from her home?

Answers

Alright, from the graph, we know that Hannah's distance between hour 2 and hour 4 isn't uniform, so what we need to do is break the graph down a little.

When we break it down, we learn that Hannah's distance between hour 2 and hour 3 is decreasing because the y value decreases, and that Hannah's distance between hour 3 and hour 4 is increasing, because the y value starts increasing again.

Once we know that, all that's left is to match it up with the choices given. We can eliminate choices A and D because Hannah's distance between hour 2 and hour 4 isn't uniform, leaving us with B and C.

Between hours 2 and 3, we know that Hannah's distance is decreasing because the y value decreases, giving you your answer, which is C!

Answer:

C

It is decreasing in the interval 2 < x < 3 hours

Step-by-step explanation:

i took the test

Multiple 8 by 10 5. How many zeros are before the decimal point in the product

Answers

your answer would 84.5
multiply the problem and then move your decimal over 1 to the left assuming it was at the end of your answer on the right your answer would be 840.  move 1x to the left then becomes 84.0

Which steps will verify that a parallelogram is a rectangle? Check all that apply.Calculate the lengths of the diagonals, and show that they are equal.
Calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.
Calculate the slope of each diagonal, and show that the lines are perpendicular.
Calculate the midpoints of each diagonal, and show the diagonals bisect each other.
Calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answers

The steps that will verify that a parallelogram is a rectangle are options A and E.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Therefore, the steps that will verify that a parallelogram is a rectangle are options A and E.

A. Calculate the lengths of the diagonals, and show that they are equal.

E. Calculate the slopes of every side, and show that adjacent sides are perpendicular.

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A & E

Happy learning

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