police chase a car. police are originally 5 miles behind. if the police car's speed is 90 mph and the car they chase is moving with a speed of 80 mph. how long will it take them to catch up?

Answers

Answer 1

Step-by-step explanation:

Let x be the number of hours for

the police to catch up to the car.

We have 90x = 80x + 5.

=> 10x = 5

=> x = 0.5.

Hence it will take them 30 minutes.


Related Questions

Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog

Answers

Answer:

$1.65

Step-by-step explanation:

1.25 x 4 = 5.00

18.20 - 5.00 = 13.20

13.20 / 8 = 1.65

they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8

Classify the following triangle.

Answers

Answer:

Isosceles obtuse Triangle

Isosceles obtuse triangle

Explanation:
Isosceles - all sides are different lengths
Obtuse - angle over 90 degrees but under 189 degrees

SOLVE: 3x+4y = 18 and -2x+4y = 8

Answers

Answer:

1, if solved for x = 6 - 4y/3 & y = 9/2 - 3x/4

2, x = -4 + 2y & y = 2 + x/2

Step-by-step explanation:

In the figure shown what is the value of x?

Answers

Answer:

23 is the right answer hope it's helps you

The value of x from the given congruent triangles is 23 units.

In the figure ΔABC and ΔDEF are given.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider, ΔABC and ΔDEF, we have

AB=DE (Given)

∠BAC=∠EDF (Given)

AC=DF (Given)

So, ΔABC ≅ ΔDEF

We know that, by CPCT

BC=FE

⇒ x-4=19

⇒ x=23 units

Therefore, the value of x from the given congruent triangles is 23 units.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ5

rate mi and.my bestie when we were little im the one without the doll

Answers

Answer:

Cuties! 10/10 ❤

Step-by-step explanation:

Have a good rest of your day! :)

21x-9+27=180 what is x?​

Answers

The value of X is 69 lol get rekt

Do 9a, 9b, 9c please quick due in 5 minutes also pleaseeee show step by step thanks I will mark brainlest and give extra points people please

Answers

Step-by-step explanation:

The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.

The first and second box for 9c is > .

15. A private swimming club
ges $2.50
After the first hour, swimmers have to pay an additional $1.50 for each h.
hour, or part of a half hour thereafter. Georgina and her friend swam int
pool for x hours.

Answers

Answer:$11.00

Step-by-step explanation:

Simplify (0.24) × (-0.15)

Answers

Answer:

0.036

Step-by-step explanation:

Answer:

0.24 x 0.15 = 0.036

Step-by-step explanation:

First ignore the decimal points so you have 24*15 = 360.

You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

SHOW THE WORK PLSSS

Answers

Answer:

[tex] \frac{9 {x}^{4} {y}^{3} }{24 {x}^{ - 2}y } \\ \frac{3 {x}^{2} {y}^{2} }{8} [/tex]

n electric vehicle has a battery pack that is made up of 10 individual cells. With a 95% probability, we know that any given cell will last at for least 10,000 charge-discharge cycles. Assuming that the failure of any given cell in the battery pack does not depend, in any way, on the performance of any other cell in the battery pack, what is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

Answers

Answer:

0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

Step-by-step explanation:

For each cell, there are only two possible outcomes. Either it will least for at least 10,000 charge-discharge cycles, or it will not. Cells are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 individual cells.

This means that [tex]n = 10[/tex]

95% probability

This means that [tex]p = 0.95[/tex]

What is the probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

This is P(X = 10).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987[/tex]

0.5987 = 59.87% probability that every cell in the battery pack will last for at least 10,000 charge-discharge cycles

HELP ASAP! I need help with 11 and 12 please!! Thank you!

Answers

Answer:

Q11 part 4 is the correct option

Q12 part 4 is also the correct option

Evan has a loyalty card good for a discount at his local hardware store. The item he
wants to buy is priced at $14, before discount and tax. After the discount, and before
tax, the price is $11.76. Find the percent discount.

Answers

Answer:

14-11.76 = 2.24

2.24×100

14 = 16%

since, the discount percentage is 16%

The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft drink that is placed in 2-liter bottles at the local bottling plant of a large nationally known soft-drink company. A random sample of 64 bottles obtained from this bottling plant indicated a sample average and standard deviation of 2.99 and .06 liters repectively. Set up a 98% confidence interval estimate of the true average amount of soft drink in each bottle.

Answers

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.387

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

square root of -20

someone please help

Answers

Answer:

I think its either 5 or 4 one of the 2

In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed

Answers

Answer:

Normal distribution

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.

A large pizza costs $15.99. A second large pizza is 2/3 off. Using an estimate, approximately how much will it cost for 2 large pizzas?

Answers

2 large pizzas will equal 21.32
Since 2/3 of 15.99 (which is how much is being discounted or taken off) is 10.66, you subtract 15.99 by 10.66, then add 15.99 to get the full price of the two pizzas

3. Five more than a number is below 17. Use n
for the number.

Answers

Answer:

n + 5 = below 17

Step-by-step explanation:

Answer:

n+5<7

Step-by-step explanation:

n+5<7

This is just what I think the problem is asking. Since it asks for 5 more than a number(it doesn't specify what number), then it doesn't matter what number it is. It didn't say that the number is 17, which means that the equation is probably an unequality sentence.

An amount of $44,000 is borrowed for 9 years at 3% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid
back?

Answers

Answer:

A= $52,190.93

Step-by-step explanation:

A = $ 52,190.93

A = P + I where

P (principal) = $ 40,000.00

I (interest) = $ 12,190.93

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 3%/100

r = 0.03 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 40,000.00(1 + 0.03/1)(1)(9)

A = $ 52,190.93

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 40,000.00 at a rate of 3% per year

compounded 1 times per year

over 9 years is $ 52,190.93.

HELP ME WITH ALL OF THESE ASAP i will give BRAINEST

Answers

Answer:

The first is true.

8 · 21 = 168

The second is false.

The third is false.

The fourth is true.

Step-by-step explanation:

Answer:

true

168 divided by 21 is 8

true

168 divided by 8 is 21

false

168 divided by 16 is 10.5

false

168 divided by [tex]\frac{1}{8}[/tex] is 21

Step-by-step explanation:

for number one since there 21 cans of soup and 168 oz are used for all cans you would divide 168 by 21 and you get 8 and so on with the rest of the questions !

et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

Answers

Answer:

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Step-by-step explanation:

Step(i):-

Mean of the Population = 191.8 ft

Standard deviation of the Population = 4 ft

Let 'X' be the random variable in normal distribution

X = 182.2 feet

[tex]Z = \frac{x-mean}{S.D}[/tex]

[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]

Step(ii):-

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = P( z≤ -2.4)

                =  1-P(z>2.4)

                = 1-(0.5 + A(2.4))

              =  0.5 - A(2.4)

             = 0.5 - 0.4918

            = 0.0082

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

12 years ago, a mother was twice as old as her son. their present age are in the ratio of 14:9. find their present ages.​

Answers

Answer:

The presents age of the mom is 42 years old, and of the son is 27 years old.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

The mothers age is x.

The son's age is y.

12 years ago, a mother was twice as old as her son.

This means that:

[tex]x - 12 = 2(y - 12)[/tex]

[tex]x = 2y - 24 + 12[/tex]

[tex]x = 2y - 12[/tex]

Their present age are in the ratio of 14:9.

This means that:

[tex]\frac{x}{y} = \frac{14}{9}[/tex]

[tex]14y = 9x[/tex]

Since [tex]x = 2y - 12[/tex]

[tex]14y = 9(2y - 12)[/tex]

[tex]18y - 108 = 14y[/tex]

[tex]4y = 108[/tex]

[tex]y = \frac{108}{4}[/tex]

[tex]y = 27[/tex]

[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]

The presents age of the mom is 42 years old, and of the son is 27 years old.

Simplify: 299.081+59.26-95.32-365.195

Answers

-102.174. Just plugged into a calculator

Which two angles are adjacent?

∠AHD and ∠AHB

∠DHB and ∠BHF

∠AHD and ∠BHF

I don't know.
Imported Asset

Answers

Answer:

I think it is ∠DHB and ∠BHF

Step-by-step explanation:

Because they share a common side

a real estate agent sells a house for $360,000. the amount was 30% of her sales for the entire week. which equation could be used to determined s, the total amount of sales for the week​

Answers

Answer:

1 200 000 $

Step-by-step explanation:

(100 divide per 30 ) x 360 000 $

Dang he beat me here sorry for not getting to answer

Round 342.296269789 to 2 decimal places.

Answers

Answer:

342.30

Step-by-step explanation:

342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.

A circle had a radius 20 cm. What is the area?

Answers

Answer:

use formula πr^2

Step-by-step explanation:

the area is 1257.14cm^2

if I go into the store with $26 and I leave and come out with $11.70 how much did I spend​

Answers

Answer:

$14.30

Step-by-step explanation:

26 - 11.70 = 14.30

Solve the inequality.
x+7 > 18
The solution is
Graph the solution.

Answers

Answer:

Step-by-step explanation:

sshshfdf

As their financial advisor, what part of Kyle and Linda’s financial plan would you encourage them to work on and why?
a.
Their plan for managing income.
Their net cash flow is negative.
b.
Their plan for managing their liquidity.
They are not prepared for emergencies.
c.
Their plan for retirement.
They don’t contribute enough to meet their long term goals.
d.
Their plan for protecting their assets.
They should have life insurance on Linda.

Answers

Answer:

I think that there should be an image attached but your best bet is probably a.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

i just took the test edge 2021!

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