MATHEMATICS HIGH SCHOOL

Your baseball team places an order for 8 pizzas which is a total of 96 slices of pizza. There are 16 people on your team. If everyone eats the same amount, how many slices does each person get?0.5

12

6

80

Answers

Answer 1
Answer: the answer is 96:16 = 6

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Due to fire laws no more than 720 people may attend a performance at metro auditorium. the balcony holds 120 people. there are 32 rows on the ground floor, each with the same number of seats. write an inequality to find the numbers of people that can sit in a ground floor row if the balcony is full. indentify what your variable represents WRITE ME A INEQUALITY AND WHAT THE VARIABLE REPRESENTS

Answers

Answer: x\leq 18.75 is the inequality and x is the number of seats in each row in the ground floor.

Step-by-step explanation:

Since, The total number of people may attend = People in the balcony + People in the ground floor.

And, According to the question, Number of the people in the balcony = 120

Now, Let x represents the number of the seats in the ground floor,

While y represents total number of people.

And, again according to the question,

There are 32 rows on the ground floor,

Therefore, the number of the people in the ground floor = 32 x

y = 120 + 32 x

But, the total number of the people must be not more than 720.

Therefore, y \leq 720

⇒ 120 + 32 x\leq 720

⇒  32 x\leq 720-120

⇒ x\leq 18.75

Where x is the number of seats in the ground floor.
32*x < 720-120 
32*x < 600
x < 18.75

because of x represents the number of seats in each row, it has to be a natural number -- whole. so x=18 is the max number of seats in each row and x < 18.75 is the desired inequality. 

Which two triangles are congruent by the ASA Theorem? Complete the congruence

statement

Answers

It would sure help a lot if I could take a peek at the drawings of the triangles.
in ASA theorem in the triangles angle followed by side followed by angle should be equal then we say the 2 triangles are congruent by ASA theorem.

Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction

Answers

The answer for dividing 5/31 by 15/23 is 23/93

What is division of fractions?

The division of fractions means dividing a fraction into further equal parts.

For example, If you have three-fourth of a pizza left, and you divided each slice into 2 parts you would get a total of six slices, but this would represent six-eighths of the total pizza.

Given that, find quotient 5/31 divided by 15/23.

5/31÷15/23

We know that, when we divide two fractions, we do the reciprocal of the second fraction and multiply it by the first fraction,

5/31×23/15

= 23 / 93

Hence, the answer for dividing 5/31 by 15/23 is 23/93

Learn more about division of fractions, click;

brainly.com/question/28635541

#SPJ5
5/31 / 15/23 5/31*23/15 23/93

Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?A.Draw a chain of bounces to the right, 12 units wide, starting at –24 and ending at 12. B.Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24. C.lDraw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. D.Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.

Answers

Answer:

Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24.

Step-by-step explanation:

This is the correct answer.

I hope this helps you!

Answer:

the answer is b

Step-by-step explanation:

hope this helps:D

Can someone help me and let me know if my answer is correct?A large emerald with a mass of 764.3 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

276.92

Answers

The answer is 276.92

The density (D) of is quotient of mass (m) and volume (V):
D = (m)/(V)

It is given:
m = 764.3 g
D = 2.76 g/cm³
V = ?

Since:
D = (m)/(V)
⇒ V= (m)/(D)= (764.3g)/(2.76g/cm^(3) ) = 276.92 cm ^(3)

Therefore, the volume of the emerald is 276.92 cm² and your answer is correct.

Answer:

276.92 cubic cm.

Step-by-step explanation:

Given :

A large emerald with a mass of 764.3 grams was recently discovered in a mine.

The density of the emerald is 2.76gm/cm^3

To Find: what is the volume?

Solution:

Density =2.76gm/cm^3

Mass = 764.3 grams

Volume=(Mass)/(Density)

Volume=(764.3)/(2.76)

Volume=276.92

Hence the volume of large emerald is 276.92 cubic cm.

Write the equation of the parabola with a focus (1,2) and directrix y = 1

Answers

since the y shifted and focus is above directix, parabola opens up
4P(y-k)=(x-h)^2
distance from focus to veretx=distance from vertex to directix=P

from focus to directix is
from 2 to 1 which is 1 distance
1/2=P since 1/2of 1=1/2
4(1/2)(y-k)=(x-h)^2
vertexis 1 higher than directix so add 1/2 to 1 to get 1.5
vertex=(1,1.5)
vertex=(h,k)

equation is
4(1/2)(y-1.5)=(x-1)^2
if you want vertex form
2(y-1.5)=(x-1)^2
divide 2
y-1.5=(1/2)(x-1)^2
add 1.5
y=(1/2)(x-1)^(2)+1.5
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