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3 years ago

A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

8 0

Answer:

The jet will cover 2585 miles in 11 hours.

Step-by-step explanation:

Given that:

Distance travelled by jet in 2 hours = 470 miles

Speed of jet = $\frac{Distance}{Time}$

Speed of jet = 470/2

Speed of jet = 235 miles per hour

Time = 11 hours

Distance travelled in 11 hours = Speed * Time

Distance = 235 * 11

Distance = 2585 miles

Hence,

The jet will cover 2585 miles in 11 hours.

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What will the length of segment I' J' be?

Ymorist [56]

Answer:

5.333

Step-by-step explanation:

To find the length of dilated I' J' we need to dilate the shape.

To do this you multiply each coordinate by 8/3.

Ex: (x,y) ---> (8/3x, 8/3y)

H: (0,3) ---> (8/3*0, 8/3*3)

I: (1,1) ---> (8/3*1, 8/3*1)

J: (3,1) ---> (8/3*3, 8/3*1)

K: (2,5) ---> (8/3*2, 8/3*5)

Now we plot this. (Picture attached)

The new I' coordinate: (2.667, 2.667)

The new J' coordinate: (8, 2.667)

The new length would be 8 - 2.667 so we can find the distance between the two points.

Note we are subtracting the y coordinates and not x because x coordinates represent height and y represents length

8 - 2.667 equals 5.333

So the length of segment I' J' will be 5.333

5 0

2 years ago

The following table shows the salary of 7 people in an office last year.

kotegsom [21]

Answer:

a. £24,714.29

b. £16,833.33

Step-by-step explanation:

The calculation of mean income is given below:-

Mean income = Total addition of salaries ÷ Number of workers

= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000

= £173,000 ÷ 7

= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

= £101,000 ÷ 6

= £16,833.33

7 0

3 years ago

PLEASE HELP ANSWER ASAP

VLD [36.1K]

Question 1: h+4= how many kids in history class.
I think this cause it says to represent the # of kids in the English class with the varible h. there are 4 more kids in the history class for you just add four to the English class( h). this may be wrong tho

question 2: 57+4= 61.

you just input the 57 where the h (# of kids in English class) cause it need to figure out how many are in history and their are just four more kids. I think

also sorry if I suck at explaining things, this makes sorta sense

7 0

2 years ago

Is the following UPC code valid? 375407370090. PLEASE SHOW OR EXPLAIN!!!

MAXImum [283]

Answer:

The UPC is not valid..

Step-by-step explanation:

The Universal Price Code is represented in the form of bars which is scanned when we purchase something.

The last digit of the UPC is the check digit.

Give UPC = 375407370090

To check whether the UPC is valid or not.

Step 1:

Add the digits at odd positions.

3 + 5 + 0 +3 + 0 + 9 = 20

Step 2:

Multiply the number obtained in step 1 by 3

20*3 = 60

Step 3:

The digits at even positions have to be added. The last digit has to be ignored as it is a check digit.

7 + 4 + 7 +7 +0 = 25

Step 4:

Add the numbers obtained in Step 2 and step 3

60 + 25 = 85

Step 5:

The number obtained in step 5 is subtracted from the next multiple of 10.

In the above case,

85 will be subtracted from 90.

90 - 85 = 5

For a valid UPC, the answer to step 5 is equal to the last digit of UPC.

In the above case, the answer is 5 which is not equal to zero.

So, the UPC is not Valid.

4 0

2 years ago

If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c

Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children <-- We want to find this

a + c = 541 Equation for number of people

2.25a + 1.75c = 1041.25 Equation for money

Rearrange the equation for people. Isolate the variable you don't want to find.

a = 541 - c

Substitute "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25

2.25(541 - c) + 1.75c = 1041.25 Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25 Collect like terms

1217.25 - 0.5c = 1041.25 Simplified equation

Start isolating "c". Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25 Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25 Subtract 1217.25 on both sides

-0.5c = -176 Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5 Divide both sides by -0.5

c = 352 Number of children

Therefore, there were 352 children in the pool.

5 0

3 years ago