MATHEMATICS MIDDLE SCHOOL

a fugitive has escaped in a train wreck. the police believe he could not have traveled more than 7 mi in any direction from the wreck. how many square miles must be searched?

Answers

Answer 1

Answer: the police believe he could not have traveled more than 7 mi in any direction from the wreck.

This 7 mi represents the radius of the circular area they need to search. Sp the fomula for the area of a circle :

A = pi(r^2)

Where r is the radius

A = pi( 7^2)

A = 153.94 sq mi thy need to search

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What is the approximate volume of the cylinder? height = 52.2 cm; diameter = 20 cm

A.
1640 cm3

B.
3300 cm3

C.
16,400 cm3

D.
65,600 cm3

Answers

h = 52.2 diameter = 20 cm
radius = 10 cm
Cylinder volume = π • r² • height
Cylinder volume = PI * 100*52.2

Cylinder volume = 16,399
answer is C

the drama club was selling tickets to their play for $7 per adult ticket and $5 per child ticket and made $350 . They sold 10 more adult tickets than child tickets . Write system of equations that could be used to find the number of adult (A) tickets and child (C) tickets that were sold

Answers

Answer:

7a +5c = 350
a - c = 10

Step-by-step explanation:

It is convenient to use the variables "a" and "c" for the number of adult tickets and child tickets, respectively. Two equations using these two variables can be written based on the given information:

7a +5c = 350 . . . . total revenue from ticket sales

a - c = 10 . . . . . . . . 10 more adult tickets were sold

_____

Comment on the question

The solution to these equations is a=33 1/3; c=23 1/3. There is no integer solution. In real-world terms, the given relations cannot exist.

Plz Help me with this

Answers

the answer is b. 2/5

Thirty-five percent of students at Jones High School ride the bus. Two hundred seventy-three students ride the bus. How many students go to Jones High School? A) 96 B) 560 C) 694 D) 780

Answers

Answer: D) 780 is the right option. The total number of students go to Jones High School=780.

Step-by-step explanation:

Let the total students go to the Jones High School be 'x'.

Percentage of students ride the bus=35%

Number of students ride the bus= 273

According to the given question,

35% of x=273

$\n\Rightarrow(35)/(100)*\ x=273\n\n\Rightarrow\ x=(273*100)/(35)\n\Rightarrow\ x=780$

he total number of students go to Jones High School=780.

when I solved it I got 750.(273÷.35=780)

Gina recently got a 10% raise on her salary. If Gina used to make $25 an hour, what is her new salary? $ per hour

Answers

Answer:

Her new salary is 27.50 an hour

Step-by-step explanation:

Gina used to make $25 an hour

We are given that Gina recently got a 10% raise on her salary

Increase in salary per hour =

Her new salary = 25+2.5 = 27.5 an hour

So, her new salary is 27.50 an hour

Which circles have an area of 9pi m2? Choose all answers that are correct. A. a circle with a radius of 3 m B. a circle with a diameter of 6 m C. a circle with a radius of 9 m D. a circle with a diameter of 9 m. Multiple Choice Question!

Answers

The formula of the area of a circle is
A = $\pi$ r²
given the area, find the radius

9 $\pi$ m² = $\pi$ r²
Divide by $\pi$

$\pi$ cancels out on both sides

9 = r²
Take square root on either sides
$√(9)$ = $√(r^2)$
3 m = r
The radius = 3 meters
Be careful for the units given
Its METERS

A. A circle with radius of 3 m
B. A circle with diameter of 6 m
(diameter = 2×radius, 2 × 3 = 6)

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