Mathematics Middle School

Lucy is running a test on her car engine that requires her car to be moving. The tolerance for the variation in her car’s speed, in miles/hour, while running the test is given by the inequality |x − 60| ≤ 3. Assume x is the actual speed of the car at any time during the test.

The minimum acceptable speed is ____ miles/hour, and maximum acceptable speed is ____ miles/hour.

Answers

Answer 1

Answer:

The speed of the car is 250. The error the student made is they didn't look at the hours.

Step-by-step explanation:

Hope this helps and have an good day

Answer 2

The minimum acceptable speed is 57 miles/hour, and the maximum acceptable speed is 63 miles/hour.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

We know, If |x| ≤ a, Then x ≤ a and x ≥ - a.

The given situation is modeled by the modulus inequality |x - 60| ≤ 3.

Therefore, (x - 60) ≤ 3 and (x - 60) ≥ - 3.

x ≤ 63 and x ≥ 57.

So, The acceptable speed(x) is between, 57 ≤ x ≤ 63.

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Related Questions

What is the perimeter of the parallelogram?

Answers

Answer:

16

Step-by-step explanation:

4units x 4units = 16

I got 16. I think it’s the correct answer

Chrsitine's jewelry box is shaped like a rectangular prism. It is 8 1/2 inches long, 4 inches wide, and 6 inches tall. Which equation can you use to find the volume of the jewelry box?

Answers

Answer:

Step-by-step explanation:

Adding would be 12 and multiplying would be 48

It would be
(8 1/2 • 4)) • 6

A car can travel a distance of 12s +3s² meters over some number of seconds s. What distance does the car travel in 8 seconds

Answers

Answer:

672 meters so very fast

Step-by-step explanation:

12*8=96

3*8=24^2=576

96+576=672

The car travels 672m in 8s

2/3 a - 1/6 = 1/3

answer this math question asap pls​

Answers

Answer:

a=3/4

Step-by-step explanation:

1. Get 2/3a by itself.

•Turn 1/3 to 2/6 by multiplying 1/3 by 2/2.

•Because you only add and subtract like denominators

This will make it look like:

2/3a - 1/6 = 2/6

Then, add 1/6 to both sides to get 2/3a by itself.

It'll look like this:

2/3a = 3/6

2. Get a by itself.

•Multiply the reciprocal (opposite) of 2/3 to get a alone.

This will look like:

(3/2) • 2/3a = (3/2) • 3/6

a = 18/24

3. Simplify.

Find the largest number that can simplify the equation.

For example, 18 ÷ 3 = 6, and 24 ÷ 3 = 8.

But the largest number you can divide both sides by is 6.

18 ÷ 6 = 3 and 24 ÷ 6 = 4.

3/4.

the answer is a= 3/4

Create 5 word problems using the equations provided. Each word problem should have a maximum of 2 to 3 sentences. Solve your word problem. Be sure to provide the equation for the word problems you are creating.

Answers

This is a word problem for 12.

Laura decided to throw a party. The DJ charged 2 dollars an hour and 4 dollars to use lights and fog. How long did the DJ play?

This one is for 11.

Kate wanted to go skating. When she got there it was 4 dollars an hour. The total cost was 12 dollars. How many hours did she skate?

#13. I have $171. I need to divide the money with 9 people. How much money does each person have?

Your speed while waterskiing is 22 miles per hour. How fast are you traveling in kilometers per hour? Round your answer to the nearest hundredth.

Answers

Answer:

35.41 kph

Step-by-step explanation:

Use a conversion factor of 1 mph = 1.609 kph to solve the problem.

Answer:

35.40

Step-by-step explanation: Therefor 35:40 is the answer!

(1 mile per hour = 1.609 kilometer per hour)

22*1.609=

39.398

39.398 - 39.40 (PLS MARK BRAINLIEST!!)

Therefore 35.40 is the answer!

(PLS MARK BRAINLIEST!!)

(I WOULD REALLY APPRICIATE IT!!)____

(Trigonometry question)

Answers

Answer:

is the answer 7/25 ? i got 7/25

Answer:

7/25 is the answer

Step-by-step explanation:

sin ○ = opp/ hyp

sin ○ = 7 /25

Two step equation - integer


Solve -1 + x/6 = -2 (Show your work!)

Answers

Answer:

Step-by-step explanation:

x/6 - 1 = -2

x/6 = -1

x = -6

x=-6
hope that helps

PLZ ANSWER <3
To achieve mastery of this lesson, make sure you develop a response to the following question:

How can you use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages?

Answers

mean and standerd deviation to standardizing a value Other words to find the Z score , in a normally distributed data, the value of mean represent 50% of the population

Pleaseeeeeee help mee i will give u brainliest

Answers

Answer:

erosion

Step-by-step explanation:

It’s Erosion hopefully this helps you

A Middle School takes a poll to find out what students want to eat at lunch. 70 students from 8th Grade are randomly chosen to answer the poll questions. Identify the population and sample?

Answers

Answer:

population: 8th grade

sample: 70

Population of middle school is 8th grade and sample is 70.

Here, 70 students from 8th grade are randomly chosen to answer the poll questions for find out what student want to eat at lunch.

What is population?

Population is known as a group of individuals, objects, events, organizations etc.

In middle school 70 students are chosen to answer the poll question.

So sample of middle school is 70 and population is 8th grade.

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In an orchard, there are 17 apple trees, 28 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?

Answers

Answer:

17:1

Step-by-step explanation:

there are 17apple trees n one cherry tree that's y it's 17:1 'a'means 1

17:1

It's literally so simple. You have 17 apple trees and one cherry tree. Did you even read the question?

help pls
!!!!!!!!!!!!

Answers

1 is 1,530 if you need help with 2 I’ll help u with that also
The first one is definitely 1,530

Refer to the image below.

Answers

Answer:

Median and mode because it is the digit in the middle aka the median and because it is the number that it is the most repeated aka the mode

Step-by-step explanation:

Answer: mode and median

Which expression represents five less a third of a number? ​

Answers

Answer:

A

Step-by-step explanation:

Answer:

The first option is the answer

hope this helps

have a good day :)

Step-by-step explanation:

help me please i will give brainliest

Answers

Answer:

Two

Step-by-step explanation:

And these are Elimination and substitution

This type of equation is Simultaneous equation

There is no solution

Answer for free Brainly coins and brainliest later URGENT! :)

Answers

Answer:

36

Step-by-step explanation:

Answer:

In total there are 36 girls.

Step by step explanation:

We apply the proportion.

for every 2 boys there are 3 girls, therefore the rule of three simple applies.

2 boys 3 girls

  Boys ??? girls

it is multiplied crossed where both ends have data, and the result is divided by the remaining number, being:

3 x 24 = 72

72/2 = 36

trying to get missing assignments done

Answers

Answer:

The answer to this question is B

Step-by-step explanation:

I hope it helps

help me with this please​

Answers

Answer:

ok dscaad

Step-by-step explanation:

ok rgeddx

it’s 2 i think i hope this helps

Analyze Relationships A rectangle and a triangle have the same area_ If
their bases are the same lengths, how do their heights compare? Justify
your answer.

Answers

Answer:

El área de un triángulo es base x altura entre 2

El área de un rectángulo es base x altura

Entonces si tienen misma área y base, realizamos la ecuación;

--> (b x h)/2 = b x H --> Las alturas son diferentes, pero sus áreas son iguales

Simplificamos b

--> h/2 = H

Y sacamos la relación

--> h/H = 1/2

Due to there proportional measures it will equate to diffrent

Brainliest have to be in the surface area

Answers

Answer: 375

the surface area for the whole shade is 375

explanation: you add the area of each shape
you can get 375 sq. units by adding

plz help someone helpsssss

Answers

Answer:

MAD stands for mean absolute deviation so 79.4 is the mean.  The MAD should be zero 0  

Step-by-step explanation:

We find MAD by "Taking each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth."-Ixl

So your Mean Absolute Deviation should be 0 zero.

Please mark as Brainliest

Hoped this helped

79.4 is the mean hope this helped

all thats the same

thank you :p

Answers

Answer:

ac and d are simluar to each other

Step-by-step explanation:

they all have a length that is a multiple of 4 and a width with a multipe of 5

Answer:

Figure A, B, and C are all similar.

Step-by-step explanation:

4/5 is the simplest length and width here. The other figures have the larger lengths that increase at the same rate.

Of 15 people, 9 wore sandshoes, 8 wore shorts and 3 wore neither sandshoes nor shorts
1. How many people wore both sandshoes and shorts?
2. How many people wore shorts but not sandshoes?

Answers

Answer:

1. 0 2. 8

Step-by-step explanation:

Answer:

1. 0

2. 8

Step-by-step explanation:

Help me with this please the best answer gets brainiest.

Answers

Answer:

The boys have a bigger range in height than the girls

Step-by-step explanation:

The boys range of height is way bigger then the girls because the girls range is only 56-59 while the boys range is 55-62 therefore it makes the boys range of height way larger then the girls

Wanna gett markked Brainliest?!!

Answers

Answer:

I this A is 40, B is 50 and C is 140

Step-by-step explanation:

Hope this helps and Im 70% sure !!!

Have an good day

The other guy is right^^^^^^^

PLS HELP FAST!!!
The question is in the picture below.
Will give 20 points each for answering.
Pls give a good answer with an explanation.

Answers

The points have been plotted on the coordinate graph.

Answer:

plot each coordinate pair onto the graph then solve for the function

Step-by-step explanation:

step one: plot each coordinate pain onto the coordinate graph

step two: fuse the vertical line test. Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function

Fill in the blank for the statement below: If a similar figure has been enlarged, the scale factor is a number that is ___________________.

Answers

Answer:

bigger ???

Step-by-step explanation:

Dilations


Explain: A transformation that enlarges or reduces a figure by a scale factor about a center point so that the original figure and its image are similar. If the scale factor is greater than 1, the dilation is an enlargement. If the scale factor is less than 1, the dilation is a reduction

Please help! Use the geometric mean theorem to solve.

Answers

Answer:

15.41

16.28

17.28

19.30

Step-by-step explanation:

god bless stay safe po

In Westchester County, the average home sells for $750,000. A survey of 250 applicants found that 38% of homebuyers are willing to spend $875,000 on a single family home. Identify the sample size

Answers

answer: 250
explanation:
answer is 250 good luck
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