A series of maths books consists of four volumes. The first has x pages and the second has 54 more. The third and fourth volumes have 32 more pages than the second volume. The number of pages of all volumes is 866. Calculate the number of pages in each volume.

Answers

Answer 1

Answer:

1st volume = 160

2nd volume = 160 + 54 = 214

3rd volume = 160 + 54 + 32 = 246

4th volume = x + 54 + 32 = 246

Step-by-step explanation:

Given that:

Number of volumes = 4

1st volume = x pages

2nd volume = 54 more = x + 54

3rd volume = 32 more = x + 54 + 32

4th volume = 32 more = x + 54 + 32

Total number of pages = 866

Hence,

1st + 2nd + 3rd + 4th = 866

x + x + 54 + x + 54 + 32 + x + 54 + 32 = 866

4x + 226 = 866

4x = 640

x = 160

1st volume = 160

2nd volume = 160 + 54 = 214

3rd volume = 160 + 54 + 32 = 246

4th volume = x + 54 + 32 = 246


Related Questions

what time will it be in 3/4 hour

Answers

Answer:

45 minutes

Step-by-step explanation:

so  1 hr= 60 minutes  so you do 3/4 x 60min which is  45 minutes. Feel Free to mark Brainliest and have a great day!

3/4 of an hour is equal to 45 minutes.

To find 3/4 of an hour, we need to multiply the value of one hour by 3/4.

One hour is equal to 60 minutes.

To calculate 3/4 of an hour:

= 3/4 x 60 minutes

= (3/4) x 60

= 45 minutes.

Therefore, 3/4 of an hour is equal to 45 minutes.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

Dario borrows $12,000 to buy a car. He borrows the money at a yearly, or annual, simple interest rate of 4.2%. How much more interest will Dario owe if he borrows the money for 5 years instead of 1 year?
ITS URGENT HURRY!!!!!

Answers

Answer:

$2016 more

Step-by-step explanation:

Borrowed amount = $12000Interest rate = 4.2% per year simple

Interest in 1 year:

$12000*4.2/100 = $504

Interest in 5 years:

$12000*4.2*5/100 = $2520

The difference between 1-year interest and 5-year interest:

$2520 - $504 = $2016

Mary's scarf is 64 centimeters long. How many millimeters is the length of the scarf?

Answers

Answer:

640 mm

Step-by-step explanation:

640mm i got an 100 on a test with this

please help meeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

area of the kite,

A=(d1*d2)/2

A=(16*21)/2= 168 in^2

choice C

a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.​

Answers

I actually I’m really confused sorry can’t answer

A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Select all the expressions that have a value of 180 when b = 4. o 876 – 179 + 957 - 87 O 336 12 62 + 120 0 516 - 24 ( 115 + 187 – 2,756 - 13​

Answers

Answer: miata

Step-by-step explanation:

The diameter of a circle is 55 inches.



​Find the length of its radius.



Answer:​
inches

Answers

The radius would be 8.75

Answer:

27.5 inches

Step-by-step explanation:

The circle's "radius" refers to the distance from the center towards the circumference. Once the diameter of a circle is given, it is easy to get the radius. In order to get the length of the circle's radius, all you have to do is to divide the diameter (55 inches) into two.

55 inches ÷ 2 = 27.5 inches

Therefore, the circle's distance from the center towards the circumference is 27.5 inches. This is the radius.

The piecewise function h(x) is shown on the graph.
What is the value of h(3)?

Answers

Answer:

In the given graph h(x)

When x=3, h(3)=1

1 is the right answer.

4x² when x = 5/6 and 1/2​

Answers

x = -6 I think!!! Good luck;)

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less. How far, in miles, is it from P to Q?

QUICK ASAP PLS

Answers

Answer:

Step-by-step explanation:

66

Two students drive separate cars.
• Student 1 begins driving 90 minutes before student 2.
• Student 1 drives at a speed of 48 miles per hour.
• Student 2 drives at a speed of 64 miles per hour.
For how many hours has student 1 been driving when both students have driven exactly the same distance?
O 1 hour 30 minutes
3 hours 0 minutes
6 hours 0 minutes
7 hours 30 minutes

Answers

Student take 7hours30 mins to drive.

Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.

Answers

Answer:

E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487

Step-by-step explanation:

Given that :

Test statistic, t = 1.064

P-value = 0.0487

Hypothesis : To test if grazing cows eat more grass than grazing horses

The null hypothesis will be :

H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).

Alternative hypothesis ; H1 : μ1 > μ2

The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.

Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487

If the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Test statistics, t = 1.064

P-value = 0.0487

The null hypothesis will be

H₀: μ₁ = μ₂ (There is no difference in the mean number of grass eaten by cows and horses)

An alternative hypothesis will be

Hₐ: μ₁ > μ₂

The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.

Therefore, if the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.

Answers

Answer:

y=15x+35

Step-by-step explanation:

15 every month and 35 for instant charge

solve x : 3 (x-1) +7= 4x +2 -3 (2-x)

Answers

Answer:

Step-by-step explanation:

x=2

remove the parentheses. cancel the equal terms. calculate. move the terms. calculate. divide both sides. x=2

Submit For

Score

Which term best describes the savings account that Isabel has set up, given its purpose?

Select the correct answer.

es

Comments

O emergency fund

O mutual fund

Orainy-day fund

sinking fund

Answers

Answer:

Emergency Fund

Step-by-step explanation:

Isabel has setup fund for her emergency needs. She has started saving with named as emergency fund so that she can use her savings when she is in severe needs. Isabel has saved money and then she is now saving her money in saving accounts in the bank.

Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?

Answers

Answer:

71,266 peaches

Step-by-step explanation:

paul=5482

peter=5482*4=21,928

sam=21928*2=43,856

5482+21,928+43,856=71,266

I’m pretty sure All together they picked around 49338 peaches together

6) Sally traveled 352.5 miles on 13 gallons of gas. Set up and solve to proportion to find how many miles she can travel on 18 gallons of gas. Round your answer to the nearest whole number of gallons. Your answer​

Answers

Answer:

add a gallon

Step-by-step explanation:

Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4

Answers

Answer:

hope it helps

Step-by-step explanation:

Estimate the time Juanita will arrive at her aunt's home 320 miles away if she leaves at 9:00 a.m., drives about 60 miles per hour, and stops

for a 40 minute break halfway.

A 12:00 p.m.

B. 1:00 p.m.

c. 2:00 p.m.

D. 3:00 p.m.

E. 4:00 p.m.

Answers

Answer:

D. 3:00 p.m.

Step-by-step explanation:

d = Distance = 320 miles

s = Speed = [tex]60\ \text{mph}=\dfrac{60}{3600}=\dfrac{1}{60}\ \text{miles/s}[/tex]

Time taken is given by

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{320}{\dfrac{1}{60}}\\\Rightarrow t=19200\ \text{s}[/tex]

40 minutes break is [tex]40\times 60=2400\ \text{s}[/tex]

Total time taken is [tex]19200+2400=21600\ \text{s}=\dfrac{21600}{60\times 60}=6\ \text{hours}[/tex].

So, the entire trip took 6 hours. 6 hours after 9 a.m. is 3 p.m.

What is 1 2/3 x 1 1/4 ????

Answers

Answer:

2 1/12 B)

Step-by-step explanation:



Leslie shows a funny video to 5 of her friends. Every hour, the video

views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video

views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?

Answers

Answer:

10,935 views

Step-by-step explanation:

We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...

i * [tex]3^{h}[/tex]

We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.

5 * [tex]3^{7}[/tex]

5 * 2187

10,935 views

Find the value of the power.

35 =

The 5 is supposed to be on the top of the 3 but on the right side.

Answer:

Answers

the value of of the power is 5, because it is 3^5.

Step-by-step explanation:

You mean 3⁵ = ? stay click

3⁵ = 3×3×3×3×3

= 243

PLEASE HELP THIS IS DUE TODAY How do you use proportions to calculate missing dimensions in scale drawings?

Answers

Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet

Step-by-step explanation:

Find the perimeter of the following shape:

Answers

If you are trying to find the perimeter then just add all the sides so 10+10+7+7=34

But if it's for the area then its supposed to be A=hb/2 which is height times base divided by 2. For the area I did the math which is in the image

(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!

Answers

Answer:

8

Step-by-step explanation:

so my school uses the method called kcf (keep change flip)

keep the 4

change the division sign to a multiplication sign

flip 1/2 to 2/1

4x2=8

Answer:

8 i first said two but used a caculater and found out it was 8

Step-by-step explanation:

In the number 4,532,800 what place is the 5

Answers

Answer:

One-Hundred Thousand Place value

Step-by-step explanation:

Please help this is the last question I need I don't get it

Answers

awnser is A ;))))))))))))))

400 hope this helps!

May I have brainliest please? :D

Write the rational number as a decimal. 7 over 40

Answers

Answer:

0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.

Answer: 0.175

Step-by-step explanation:

Simplify
(45x6y%) = (5x4y2

Answers

Answer:

0 would be your anwswer

Step-by-step explanation:

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