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

Factorise 9a3 b + ba2

Answers

Answer:

[tex]a(9 {a}^{2} b + ba)[/tex]

hope it's helpful ❤❤❤❤❤❤❤

THANK YOU.

Find the area of the shaded sector. Leave your answer in terms of π.

a. 3π ft2
b. 32π ft2
c. 18π ft2

Answers

It’s b 32ft I think not sure):

What lines are perpendicular to 3x+6y=5

Answers

Answer:

u means that to make the equations

Answer:

the line on the point 1.2 and 4.5

Step-by-step explanation:

3 Times Square root of 200 simplified

Answers

Answer:

C. [tex]30\sqrt{2}[/tex]  

I hope this helps!

The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .

To simplify the expression 3 times the square root of 200, we can break it down into smaller components .

First, let's simplify the square root of 200 :

√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2

Now, we substitute this simplified value back into the original expression :

3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2

Therefore, the simplified form of 3 times the square root of 200 is 30√2 .

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Use the Distributive Property to evaluate each expression.
1. 3(5 + 6) =
2. (6 + 4)(-12) =
3-619 - 4) =

Answers

Answer:

1. 33

2. -120

3. -623

Step-by-step explanation:

You do what is in the parenthesis and then multiply that by the number outside.

198 woman to 110 men in the simplest form

Answers

Answer:

1 4/5

Step-by-step explanation:

198 woman to 110 is basically a ratio, so we should put it like this: 198:110

Now, a ratio that needs to be simplified is basically a fraction, so: 198/110

Now we divide the fraction.

First, find the GCF of both numbers.

The GCF of 198 and 110 are both 22.

Now we divide, and we get 9/5, and we turn it into a mixed number, 1 4/5.

The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.

What is the minimum amount of money he needs to save each month?


$540

$625

$675

$1,250

Answers

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

Commercial dredging operations in ancient rivers occasionally uncover archaeological artifacts of great importance. One such artifact is Bronze Age spearheads recovered from ancient rivers in Ireland. A recent study gave the following information regarding discoveries of ancient bronze spearheads in Irish rivers.

River Bann Black water Erne Shannon Barrow
No of spearcheads 25 7 15 33 14

Required:
a. Make a Pareto chart for these data.
b. Make a circle graph for these data.

Answers

Answer:

Please find the attached file for the solution:  

Step-by-step explanation:

What is the area of the triangle?
2
2
units2

Answers

Answer:

2

Step-by-step explanation:

you just multiply

I'm BEGGING you. plz help. I will mark you brainliest. I have an image attached with the question.

Answers

Answer:

start by mulitplying ten 5 times so 10x10x10x10x10=100,000. then multiply 100,000x3.8=380,000. and then times 300 so your ancwer is 114,000,000

Step-by-step explanation:hope it helps

A truck carries 40 bags of avocados to a local supermarket. If each bag weighs 8.65 pounds, what is the total weight of avocados taken to the supermarket?

Answers

346 pounds

u have to multiply the amount of bags (40) by the weight of each bag (8.56) so it’ll be

40 x 8.56 = 346

Answer:

346pounds

Step-by-step explanation:

40×8.65=346pounds

Due in 3 minutes Need help ASAP

Will mark you brainlist

Answers

Answer:

I think it's 10 gallons less than Evan

D) 5. Which situation can be represented by 3s = 5s– 6?

Answers

Answer:

zzzzzolcialmmmmed1a

Step-by-step explanation:

z0mb13br41n5f1r3k1n6

Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent

Answers

SAS is the postulate that establishes the congruence of these two triangles.

What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.

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celery
celery
celery
celery
celery

Answers

Answer:

d, 3 5/8

Step-by-step explanation:

Which system of equations has the same solution as the system of
equations shown below?
6x + 2y = 10
8x + 4y = 12

Answers

Answer:

b

Step-by-step explanation:

that's what my teacher said.

6x + 2y = 10 and -4x=-8  system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

6x+2y=10..(1)

2y=10-6x...(2)

We need to find system of equation which having same solutions as above.

From equation (2)

y=5-3x

Now substitute y value in equation 1.

8x+4(5-3x)=12

8x+20-12x=12

-4x=12-20

-4x=-8

Hence, 6x + 2y = 10 and -4x=-8  system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12

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10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain

Answers

Answer:

60mm   or   6cm

Step-by-step explanation:

108mm - 48mm = 60mm

The answer is 60mm or 6cm

Explanation: i gotchu and leave a like if it helped you

when time in hours (t) increases, how does distance in km (d) change?​

Answers

Question seems incomplete but will be explained with assumptions

Answer and explanation:

If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on

We can apply the formula for distance as such:

Distance(d)= Speed(s) × time(t)

d=st

Where d is distance travelled say 60km

S is speed= 30km/hr

Time = 2 hrs

Also to calculate speed when distance and time is given, we can make speed the subject of the formula:

s=d/t

To calculate time when distance and speed are given, we can make time the subject of the formula:

t=d/s

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

4976÷4=1244

8÷4=2

1244 pounds and 2 ounces.

Answer:

1244 pounds 2 ounces

Step-by-step explanation:

1. Turn everything into ounces. (1 pound is 16 ounces)

4976 x 16 = 79616

2. Add

79616 + 8 = 79624

3. Divide

79624 divided by 4 = 19906

4. Convert it to pounds

19906 divided by 16 = 1244 remainder of 2

5. Get the answer

1244 pounds 2 ounces

Evaluate the expression when b=2 .

b⋅5 =

Answer:

Answers

Step-by-step explanation:

given, b=2

now,

=b.5

=2.5

=10

Answer: 10

Because if b=2 just replace b in the equation to 2 and multiply it to get your answer.

Four cards will be dealt off the top of a well-shuffled deck. There are two options. (i) To win $10 if the first card is club and the second is a diamond and the third is a heart and the fourth is a spade. (ii) To win $10 if the four cards are of four different suits. Compute the probability of winning $10 for each case. Which option is better

Answers

Answer:

0.0043957 ; 0.105498 ; 2nd option is better

Step-by-step explanation:

Option 1:

First card :P(club) = 13/52

Second card: P(diamond) = 13/51

Third card : P(heart) = 13 / 50

Fourth card: P(spade) = 13/49

Hence,

P(club, diamond, heart, spade) = (13/52) * (13/51) * (13/50) * (13/49) = 0.0043957

Probability of winning $10 = 0.0043957

2nd option:

P(card of different suit) [order of arrangement does not matter]

(13C1 * 13C1 * 13C1 * 13C1) / 52C4

= 28561 / 270725

= 0.105498

Probability of winning $10 = 0.105498

Because the probability of winning for the second option is higher than for the first option, then the second option is better.

What is the measure of angle KLM

Answers

Answer:

In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20.

The measurement of the angle KLM is 64°.

What is an angle?

An angle is a geometrical shape that is formed by two rays or lines, called the sides or arms of the angle, that share a common endpoint, called the vertex of the angle.

Given is a figure, we need to find the measurement of ∠KLM,

Here,

∠KLM + ∠KLJ = 180° [linear pair]

20x+4 + ∠KLJ = 180°

∠KLJ = 176-20x

Consider the triangle, KLJ,

∠KLJ + ∠KJL + ∠JKL = 180° [sum of the interior angles of a Δ)

8x+18+6x+4+176-20x = 180°

-6x = -18

x = 3

So, ∠KLM = 20(3)+4 = 64°

Hence, the measurement of the angle KLM is 64°.

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Let C = total cost, and t = number of t-shirts. Using the following equation C = 4t + 160, how much will it cost for 30 t-shirts?

Answers

Answer:

$280

Step-by-step explanation:

4(30)+160

120+160

280

Answer:

280 (see below)

Step-by-step explanation:

If C = total cost and t = number of t-shirts, then for 30 shirts, plug the amount of shirts into the variable for shirts in the equation given:

C = 4t + 160

C = 4 (30) + 160

C = 120 + 160

C = 280

Jerry takes trail mix on hikes. A package of dried apricots weighs 74 ounces. A package of sunflower seeds weighs 60 ounces. Jerry divides the apricots and seeds equally among 8 bags of trail mix.

Answers

i dum please help

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9. If the perimeter of an isosceles triangle is 83 cm. and its base is 23 cm. Find the measure of its equal sides.


10. The perimeter of a rhombus is 5.6 cm. Find its side.


11. The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of the
rectangle is 26 m. What is its breadth ?


12. What is the cost of fencing a rectangular field of length 16 m and breadth 11 m at the rate of 12 per m.

Please solve all questions..step by step.​

Answers

Required Answers :-

9.

Q:-If the perimeter of an isosceles triangle is 83 cm. and its base is 23 cm. Find the measure of its equal sides.

Answer:- As we know that Perimeter is the sum of all sides.

Let the both side be x83 = 23 + (x + x)83 - 23 = 2x60 = 2x30 = x

Other two sides are 30 cm.

10.The perimeter of a rhombus is 5.6 cm. Find its side.

Answer:- As we know that

Side of Rhombus = Perimeter/4

Side = 5.6/4Side = 1.4 cmSide is 1.4 cm

11.The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of the

The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of therectangle is 26 m. What is its breadth ?

Answer:- Perimeter of square = 4 × s

Perimeter = 4 × 17Perimeter = 68 cm

Now,

Perimeter of rectangle = 2(l + b)68 = 2(26 + b)68/2 = 26 + b34 = 26 + b34 - 26 = b8 = bb=8

12.What is the cost of fencing a rectangular field of length 16 m and breadth 11 m at the rate of 12 per m.

Answer:- Perimeter = 2(l + b)

Perimeter = 2(16 + 11)Perimeter = 2(27)Perimeter = 54 cm

Now,

Total cost = 54 × 12Total cost = ₹648.

[tex]\begin{gathered} \\ \end{gathered}[/tex]

I really need help on this question.!

Answers

Answer:

[tex]60 + 55 + x + 20 = 180 \\ x + 135 = 180 \\ x = 180 - 135 \\ x = 45[/tex]

Pls answer this for brainly

Answers

Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

Answer:

54

Step-by-step explanation:

Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.

Answers

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

Lucilla wondered what the average weight of each grapefruit was in a five-pound bag of grapefruits. She purchased six bags and calculated the average weight for a single grapefruit in each bag. Bag of Grapefruits Average Grapefruit Weight (oz) 1 7.1 2 6.9 3 7.3 4 7.6 5 8.1 6 7.5 Using her results, a grapefruit from a five-pound bag of grapefruits should weigh between 7.3 oz and 7.6 oz. 7.1 oz and 7.5 oz. 6.9 oz and 8.1 oz. 7.1 oz and 7.6 oz.

Answers

The data collected by Lucilla is as follows:

7.1 oz

6.9 oz

7.3 oz

7.6 oz

8.1 oz

7.5 oz

What is Range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

We need to put this data in order, this will give us:

6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1

We have

smallest value is 6.9 oz

largest value is 8.1 oz

all other values fall in this range

Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz

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Answer:

6.9 and 8nd 8.1 or C

Step-by-step explanation:

5x+30=7x+20
Bbbbnnvvvcvhbx

Answers

X=5 is the answer for this problem
“ x “ equals 5 because 5(5)+30 = 55 and 7(5)+ 20 = 55 so it’s x=5
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