A pan of lasagna cut into 100 servings is equally shared among a group of people. For Exercises53 – 55, determine the portion of the pan that each person receives given the number of people in
each group. Write your answer as both a fractional and a decimal part of a pan.
53. 20 people 54. 40 people 55. 30 people

Answers

Answer 1
Answer:
53).  100 servings / 20 people  =  (100/20) (svngs/ppl)

                                                 = 5 servings per person.

         Each person gets 1/20 = 5% = 0.05 of the pan.


54).  100 servings / 40 people  =  (100/40) (svngs/ppl)

                                                 = 2.5 servings per person.

         Each person gets  1/40 = 2.5% = 0.025 of the pan.


55).  100 servings / 30 people  =  (100/30) (svngs/ppl) 

                                                  = (3 and 1/3) servings per person.

         Each person gets  1/30 = (3 and 1/3) % = 0.0333... of the pan.
 

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How to write 0.125 as a fraction in simplest form

Answers

Answer:

1/8

Step-by-step explanation:

.125 = 125/1000

reduce to get 1/8

Answer:

1/8 is your simplest form of fraction.

Question 20. SQ is an angle bisector. Find the value of x. Please help!! Struggling

Answers

Answer:

The value of x is 6.

Step-by-step explanation:

Given:

∠TSQ = (5x + 3)°

∠RSQ = (10x - 27)°

SQ is the angle bisector of ∠ TSR

To Find:

x = ?

Solution:

Angle Bisector:

A line that splits an angle into two equal angles.

'Bisect' means to divide into two equal parts.

SQ is the angle bisector of ∠ TSR ....Given

\angle TSQ=\angle RSQ

Substituting the values we get

(5x+3)=(10x-27)\n\n10x-5x=27+3\n\n5x=30\n\n\therefore x=(30)/(5)=6\n\therefore x=6

The value of x is 6.

How do you solve this problem? 6 x 2/5 =

Answers

You have to make 2/5 into a whole number , in this case a decimal
2/5 in decimal form = 0.4 
To make it easier for you 0.4 by 10 and then it will become  4
So 6x4=24
Then divide by 10 which will become 2.4
The answer is 2.4

At the theater, one section of seats has 8 rows with 12 seats in each row. In the center of each of the first 3 rows are 4 broken seats that cannot be used. How many seats can be used in the section?

Answers

92 because 8*12 is 96. Then, you have to do 96 - 4 which is 92.

Final answer:

Initially, we have 96 seats in the theater. However, due to 12 broken seats in the first 3 rows, 84 seats are usable.

Explanation:

To answer this question, we will use simple multiplication and subtraction techniques of Mathematics. This is about calculating the number of workable seats in a theater.

First, we need to calculate the total number of seats in the theater. There are 8 rows with 12 seats in each row. We multiply the number of rows by the number of seats in each row: 8 rows * 12 seats/row = 96 seats.

In the first 3 rows, there are 4 broken seats in each of these rows. We need to subtract these from the total number of seats: 3 rows * 4 broken seats/row = 12 broken seats.

Finally, we subtract the number of broken seats from the total number of seats to find out how many seats can be used: 96 seats - 12 broken seats = 84 usable seats.

Learn more about Math calculations here:

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Bryan wants to buy candy and gum to sell at the concession stand during the volleyball game. Candy cost 1$ per pack and gum cost 0.75$ per pack. If he only had 75$ to spend

Answers

Answer:

The solution in the attached figure

Step-by-step explanation:

Let

x ----> the number of candy pack that Brian can buy

y ---> the number of gum pack that Brian can buy

we know that

The inequality that represent this situation is

x+0.75y\leq 75

The solution is the shaded area below the solid line  x+0.75y=75

The slope of the solid line is negative

using a graphing tool

The solution is the shaded area

Remember that the value of x and the value of y cannot be a negative number

see the attached figure

In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x? (Please provide explanation)

Answers

X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!

Final answer:

To find the value of x in the given context of parallellines intersected by a transversal, we need to consider the properties of parallel lines such as corresponding angles being equal, alternate interior angles being equal, and interior angles on the same side of the transversal being supplementary. The actual numeric value of x however cannot be determined without knowing the values of other angles in the diagram or seeing the diagram itself.

Explanation:

Based on the information provided, if line p is parallel to line f and line t intersects both, we need to consider the properties of parallel lines intersected by a transversal to find the value of x. According to this concept, corresponding angles are equal, alternate interior angles are equal, and interior angles on the same side of the transversal are supplementary (their sum is 180 degrees).

In the diagrams, if the angle's measure associated with variable 'x' is a corresponding angle or alternate interior angle with a known angle, then x is equal to that known angle. If the 'x' is related to an unknown angle which forms an interior angle on the same side of the transversal with a known angle, then x = 180 - the known angle, due to the interior angles' supplementary property on the same side of transversal.

However, without the specific diagram or the values of the other angles, it is impossible to provide a definite numeric value for x.

Learn more about Parallel Lines and Transversals here:

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