$650,000 was stolen from 1st Trust American Bank during a heist. The bank robbers got away clean and sped away traveling at a constant rate of 70 miles per hour. What the robbers did not realize is that one of the bank bags had a GPS tracking device inside of it. Once the police locked on to the signal of the tracking device they took off after the robbers traveling at a constant rate of 90 miles per hour. If the robbers already had a 30 mile head start, how long will it take the police to pass them and force them off the road to be arrested?

Answers

Answer 1

Answer:

The time taken before the police force the robbers off the road is 1.5 hours

Step-by-step explanation:

The speed with which the robbers were travelling = 70 miles per hour

The speed with which the police went after the robbers = 90 miles per hour

The distance with which the robbers were in front of the police before the police came after them =  miles

Let t represent the time in hours the police force the robbers off the road, we have;

30 + 70 × t = 90 × t

30 = 90 × t - 70 × t = (90 - 70) × t = 20 × t

30 = 20 × t

20 × t = 30

t = 30/20 = 1.5

t = 1.5 hours

The time taken before the police force the robbers off the road = t = 1.5 hours

Answer 2

Answer:

The time taken before the police force the robbers off the road is 1.5 hours

Step-by-step explanation:


Related Questions

For dinner, jerry had a double cheeseburger and one order of medium fries totalalling 1200 calories. Joe has two double cheeseburgers and one medium fry totalling 1260 calories. How many callories are in one cheeseburger and medium frys

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of callories that are in one cheeseburger be = x

Let the number of calories that are in one medium frys be = y

Therefore, the question can be formed into an expression as:

Jerry = 1x + 1y = 1200

Joe = 2x + 1y = 1260

x + y = 1200 ....... i

2x + y = 1260 ....... ok

Subtract equation i from ii

x = 60

Therefore, number of callories that are in one cheeseburger is 60 calories

Since x + y = 1200

60 + y = 1200

y = 1200 - 60

y = 1140 calories

The number of calories that are in one medium frys is 1140 calories

On a coordinate plane, a point is 7 units up on the y-axis. Which of the statements are true? On a coordinate plane, a point is 7 units up on the y-axis.
Which of the statements are true? Select all that apply.

The point is located at (7, 0).

The point is located at (0, 7).

The point is on the y-axis.

The point is on the x-axis.

The point is at the origin.

Answers

Answer:

The second one

The third one

Step-by-step explanation:

Answer:

the point is located at 7,0. the point is on the y-axis.

Step-by-step explanation:

Help pls . Math people

Answers

358. 3(-11)^2-5

3(121) -5

363-5

358

[tex]f(x)=3x^2-5[/tex]

Substitute x = -11 in the equation.

[tex]f(-11)=3(-11)^2-5\\f(-11)=3(121)-5\\f(-11)=363-5\\f(-11)=358[/tex]

Thus, the answer is 358 aka the second choice.

My assigned ratio is: 2:5 Give Two examples of ratios that are equivalent to my ratio:

Answers

Answer:

4:10 and 6:15 are equivalent to 2:5

What is the quotient?

Answers

Answer:

just post them all in one question instead of a ton of different questions. it's annoying.

Step-by-step explanation:

Reggie is deciding when to go bowling with his friends. Friday night is glow-bowling night, with 5 glow-bowling games for $22.50. But the early-bird special on Saturday morning offers 8 games for $30. How much more does glow-bowling cost per game?

How much does it cost per game?

Answers

$.75 per game

Step by step explanation:

p=a+b+c solve for a
please help

Answers

Answer:

a=p-b-c

Step-by-step explanation:

p=a+b+c

a=p-b-c

solve for x 9x + 1 equals 25 + x edg 2020?

x=2
x=3
x=4
x=5​

Answers

No no no no no no no no no no no no

The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___


-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3

Answers

Hello!

[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]

x + 3y = 2

Rewritten into slope form: y = mx + b

Find the slope when rewritten:

Move x to the right hand side of the equation. (Subtract)

x - x + 3y = 2 - x

3y = 2 - x

Divide both sides by 3:

y = 2/3 - 1/3x

Rearrange:

y = -1/3x + 2/3.

The slope is equivalent to -1/3.

athletic shoes: $79.99
discount: 40%

Answers

Answer:

48$ -specific (not rounded)

Step-by-step explanation:

There could be other solutions that can work. Such as counting the 79.99 to just 80. But for the very SPECIFIC value, you have to find 40% of 79.99 by multiplying it by .4 .        79.99*.4 = 31.99.         After that, you would subtract 79.99 and 31.99 which would get you to 48.

Answer:

$47.99

Step-by-step explanation:

79.99*40/100

79.99*0.4

40% of $79.99 = $32.00 ( rounded )

79.99 - 32 = $47.99

What is a pendulum?​

Answers

Answer:

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position

EXAMPLES:

the tick in a grandfather clock, a wrecking ball suspended by a chain or link

Step-by-step explanation:

hope this helps! please mark brainliest:)

A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity

Pendulum: A pendulum is a simple device consisting of a weight suspended from a fixed point, allowing it to swing back and forth under the force of gravity. The bob is typically attached to a string, rod, or wire that allows for free movement.

When a pendulum is set in motion, it swings back and forth in a regular and repetitive pattern.

The motion of a pendulum is governed by several factors, including the length of the pendulum, the mass of the bob, and the gravitational acceleration.

The swinging motion of a pendulum is influenced by two fundamental principles:

1. Period: The period of a pendulum is the time it takes for the pendulum to complete one full swing from one side to the other and back. The period depends on the length of the pendulum and is not affected by the mass of the bob. A longer pendulum will have a longer period, while a shorter pendulum will have a shorter period.

2. Oscillation: The pendulum oscillates due to the force of gravity acting on the bob. As the pendulum swings to one side, it gains potential energy, which is then converted into kinetic energy as it swings back. This energy transfer causes the pendulum to continue swinging back and forth.

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What is a correct first step in solving the inequality -4(3-5x)>-6x+9?

Answers

Answer:

you would distribute the -4 into the parenthesis and the answer would be option D

Step-by-step explanation:

how do i evaluate l18l

Answers

Answer:

18

Step-by-step explanation:

It is asking for the absolute value of 18. The absolute value is the units away from 0 the number is, so the answer is 18.

Answer: the answer is 1^19 (one to the power of 19)

Step-by-step explanation:

 l^18 multiplied by l^1 = l^(18 + 1) = l^19

(1 to the power of 18 multiplied by 1 to the power of 1 equals 1 to the power of (18 + 1) equals 1 to the power of 19)

Use the area of the rectangle to find the area of the triangle.
15 ft
8 ft
please help me

Answers

Answer:

c

Step-by-step explanation:

area of triangle=1/2 area of rectangle

where l=base

w=height of triangle.

Isaac buys eggs and apples at the store. .He pays a total of $24.26. • He pays a total of $4.36 for the eggs. • He buys 5 bags of apples that each cost the same amount. Write and solve an equation which can be used to determine x, how much each bag of apples costs. Equation: Answer: x = Submit Answer​

Answers

Each bag would cost 3.98$

The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Isaac buys eggs and apples at the store. He pays a total of $24.26. He pays a total of $4.36 for the eggs. He buys 5 bags of apples that each cost the same amount.

Let x be the cost of each bag of apples. Then the equation is given as,

5x + 4.36 = 24.26

Simplify the equation, then we have

5x = 24.26 - 4.36

5x = 19.90

x = 19.90 / 5

x = $3.98

The equation that represents the cost of each bag of apples is 5x + 4.36 = 24.26 and the cost is $3.98.

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Bella has $1,200 in her bank account. She wrote a check to pay her rent for $975.25. Then, she deposits $105 into the account. What is the balance of her account?

Answers

Answer:

The balance in her account is $329.75

what is the equation for the image graph

reflect f(x) = x² +1 over y axis​

Answers

Answer:

= 25

Step-by-step explanation:

solve the equation and answer it

Anyone wanna help me do this because I’m not understanding how this works

Answers

Answer:

its b .

Step-by-step explanation:

PLEASE HELP i'll give brinlist to the first person that is right

Answers

I think it’s 6 -8 I am not positive though

for f(x) = 1/3x +5

f(3) =

Answers

Answer:

f(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1/3x + 5

f(3) is x = 3

Step 2: Evaluate

Substitute:                    f(3) = 1/3(3) + 5Multiply:                        f(3) = 1 + 5Add:                              f(3) = 6

15 POINTS FOR THIS MATH QUESTION!

A teacher’s monthly gross pay is $5,321. The federal government withholds 15% of the teacher’s monthly gross pay for income taxes. How much does the teacher pay in income tax every month?

Answers

Answer:

798.15

Step-by-step explanation:

5321 x .15 = 798.15

(I think)

Answer:

798.15

Step-by-step explanation:

How many portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds?

Answers

Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.

Here,

A boneless roast weighing = 28 pounds

Each portion = 8 3/4 ounces

We have to find the number of portion.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now,

Since, 1 pound = 16 ounces

Hence, 28 pound = 28 x 16 = 448

So, Number of portions = 448 ÷  8 ¾ =  448 ÷ 35/4 = 51 7/35

Therefore, Number of portions of 8 ¾ ounces each can be made from a boneless roast weighing 28 pounds is 51 7/35.

Learn more about the Division method visit:

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Andrea and Peter are riding their bicycles in the same direction on the same path. Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour. Peter is traveling at a rate of 14 miles per hour. After how many hours will Peter catch up to Andrea? Write and solve an equation to model the problem. Explain the meaning of the solution.

Answers

Answer:

3 hours

Step-by-step explanation:

Step one:

given

Andrea started 6 miles ahead of Peter and is traveling at a rate of 12 miles per hour.

let the number of hours be x

and the total distance traveled be y

y=6+12x------------1

the initial distance is 6 miles

the distance traveled after x hours = 12x

Peter is traveling at a rate of 14 miles per hour.

y=14x------------2

the initial distance is 0 miles

the distance traveled after x hours = 14x

Step two:

let us equate the two expressions above

6+12x=14x

14x-12x=6

2x=6

divide both sides by 2

x=6/2

x= 3 hours

it will take 3 hours for both of them to cover the same distance

56 divided by 9,072 long form

Answers

Answer:

0.0061728395

Step-by-step explanation:

BOOM

Janine has $45. She plans to spend $70. Her father gives her $10. How much money does she need to borrow from her sister?

Answers

Answer:

i think -15 would be ur answer

Step-by-step explanation:

subtract 70 and 55 and u should get -15 if its right

She needs to borrow £15 of her sister

The value of y is directly proportional to the value of x. If y = 35 when X = 140, what is the
value of y whenx=70?

Answers

Answer:

17.5

Step-by-step explanation:

soln:

given,

since, x and y are directly proportional

and x=140, y=35

dividing x by y we get,

x/y=140/35

or,x/y=4/1

or,x=4y

when x=70,

x=4y

or,70=4y

•°•y=17.5

Acone with diameter 4 cm and a height of 8 cm. What is the volume of the figure? Round your answers to the nearest tenth,
if necessary.
a
18.1cm3
b
33.5cm3
с
44.5cm
d
30.2cm

Answers

Answer:

           B. 33.5 cm³

Step-by-step explanation:

d = 4 cm   ⇒  r = 2 cm

so:

[tex]V=\frac13\pi r^2\cdot H=\frac13\pi\cdot 2^2\cdot8\approx\frac13\cdot3.1415926...\cdot32=33.51032...\approx33.5\ cm^3[/tex]

F(x) = x^2+3; g(x) = square root of x-2 find f(g(x))

Answers

f(g(x)) = x + 1 . Just replace square root of x-2 to x in f(x)

A rectangle with a width of 2.5 cm and a length of 3 cm is dlated by a scale factor of 4. Which statements about the new
rectangle are true? Check all that apply.

Answers

Answer:

Step-by-step explanation:

1 - 3 - 6 - 7

Square number (2x+5y)(3x^2-4xy+2y^2)

Answers

Answer: 6x³+7x²y-16xy²+10y³

Step-by-step explanation:

( 2x + 5y )( 3x² - 4xy + 2y²)

⇒ (2x * 3x² ) = 6x³

⇒ (2x * - 4xy) = -8x²y

⇒ (2x * 2y² ) =  4xy²

⇒ (5y * 3x² ) = 15x²y

⇒ (5y * - 4xy) = -20xy²

⇒ (5y * 2y² ) =  10y³

( 2x + 5y )( 3x² - 4xy + 2y²) = 6x³-8x²y+4xy²+15x²y-20xy²+10y³

                                              = 6x³+7x²y-16xy²+10y³

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