MATHEMATICS HIGH SCHOOL

At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. 4 times as many students chose Bulldogs as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?A.) 39 students
B.) 78 students
C.) 156 students
D.) 273 students

Answers

Answer 1

Answer:

78 students chose lion

Answer 2

Answer:

Answer: 78 students

Step-by-step explanation:

Let the number of students who chose tiger be x.

The number of students who chose bulldog is 4 * x.

The number of students who chose lion is 2 * x.

7x = 273

x = 273/7 = 39

Your answer would be:

2 * x = 78.

hope this helps! :))

and can i get brialist

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Julia has 2 identical rooms in her house. If each room measures 8 feet on one side and 12 feet on another, what is the total area of the rooms?

Answers

L = 12 ft
W = 8 ft
One room has area:
A1 = L · W = 12 · 8 = 96 ft²
The total area of rooms:
A = 2 · 96 = 192 ft²

Max or min value y=3x^2+6x-5

Answers

$y = 3x^2+6x-5$

For a parabola $ax^2+bx+c$ the vertex's x equals:

$(-b)/(a)$

$a = 3, b =6$

$x = (-6)/(2*3)$

refine:

$x = -1$

Plug in x = -1 to find the y value :

$y=3(-1)^2+6(-1)-5$

refine :

$y = -8$

Therefore the parabola vertex is :

$(-1,-8)$

if a < 0 , then the vertex is a maximum value

if a > 0, then then vertex is a minimum value

a=3

Therefore $(-1,-8)$ minimum

hope this helps!

HELP PLSS I WILL GIVE U MANY POINTS!Question 27 options:
If the side lengths of a square are increased by 300%,

a) How many times as large are the enlarged square's sides compared to the sides of the original, smaller square?

Answers

3 times larger because 300% is 3 times.

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number was 18. The system that represents Mira’s numbers is below.x – y = 4

x + y = 18

Which two numbers did Mira pick?

(10, 8)

(18, 4)
(20, 16)
(40, 32)

Answers

Based on the description, the system can be explained in equation form as x - y =4, an (x + y)/2 = 18. Based on these equations, we can plus in numbers from the given answers and come up with a solution where both equations are satisfied. The two numbers that satisfy both equations are (20, 16).

Let

x------> the first number

y-----> the second number

Assume $x> y$

we know that

$x-y=4$ ----> equation A

$(x)/(2)+ (y)/(2)=18$

Multiply by $2$ both sides

$x+y=36$ -----> equation B

Adds equation A and equation B

$x-y=4 \nx+y=36\n------- \n x+x=4+36\n 2x=40\n x=20$

Find the value of y

$20-y=4$

$y=20-4=16$

therefore

the answer is the option

$(20,16)$

Ratio of two volume cylinders (Geometry)

If two similar cylinders have heights of 75cm and 25cm. What is the
ratio of the volume of the larger cylinder to the volume of the smaller
cylinder? Can someone please explain in detail. Thank you!

Answers

The ratio of the lengths is 75 : 25 or 3 : 1

The ratio of and area is the square of this: ie 9 : 1 or 75^2 : 25^2
(In working out the area the radius is squared)

The ratio of the volumes is the cube of this: ie 27 : 1 or 75^3 : 25^3
(In working out the volume the radius is cubed)

Hopefully this explains it

V1 = π* ( r1)^2 * 75;
V2 = π* ( r2)^2 * 25;

V1/V2 = (r1/r2)^2 * 3.

Holiday Time! Crazy Time! You have to work 7 days in a row. You work 8 hours a day every single day for 7 days straight. Your wage rate is $12 per hour. How much are your gross wages?

Answers

I think its 672 because * hrs a day is 56 and when you multiply that by 12 its 672

So if you work 7 hours a day for 8 days in a row we get 56 hours, then multiply that by $12 to find your earnings which is 672.

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