Mathematics High School

Practising and Applying
1. Find the lowest common multiple of
each group. Show the factors you used.
a) 5, 20, and 28
5,
b) 4, 8, and 32
c) 38 and 57
d) 5, 22, and 121​

Answers

Answer 1

Answer:

1. 140

2. 32

3. 114

4. 660

Step-by-step explanation:

Practising and Applying

1. Find the lowest common multiple of

each group. Show the factors you used.

a) 5, 20, and 28

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150

Multiples of 20:

20, 40, 60, 80, 100, 120, 140, 160, 180

Multiples of 28:

28, 56, 84, 112, 140, 168, 196

Therefore,

LCM(5, 20, 28) = 140

b) 4, 8, and 32

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8:

8, 16, 24, 32, 40, 48

Multiples of 32:

32, 64, 96

Therefore,

LCM(4, 8, 32) = 32

3. 38 and 57

Multiples of 38:

38, 76, 114, 152, 190

Multiples of 57:

57, 114, 171, 228

Therefore,

LCM(38, 57) = 114

4. 5, 22, and 121​

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620, 625, 630, 635, 640, 645, 650, 655, 660, 665, 670

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324, 336, 348, 360, 372, 384, 396, 408, 420, 432, 444, 456, 468, 480, 492, 504, 516, 528, 540, 552, 564, 576, 588, 600, 612, 624, 636, 648, 660, 672, 684

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264, 286, 308, 330, 352, 374, 396, 418, 440, 462, 484, 506, 528, 550, 572, 594, 616, 638, 660, 682, 704

Therefore,

LCM(5, 12, 22) = 660

Related Questions

HURRY!!! NO SPAM!!!Identify the volume of the composite figure in terms of π.

Answers

Answer:

C

Step-by-step explanation:

Answer:

right answer is D, 78

Step-by-step explanation:

What is the value of x below? *
A diagram with line m parallel to line n is shown.

Answers

Answer:

Step-by-step explanation:

The sum of those two angles must be 180 degrees.

3x+10+80=180

3x+90=180

3x=90

x=30

Does anyone know this answer???

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Answer:

VX has the greatest length

The answer is B which is VX

Jason purchased 12 shirts for the members of a school club. Each shirt cost $5.50. Jason
had a coupon for 25% off his total purchase. Sales tax was 6.0% after the discount. What
was the total cost for the shirts? (Write your answer to the Hundredths Place, DO NOT
USE A $ Sign)
The total cost was type your answer.
dollars.

Answers

Answer:

52 dollars and 47 cents, or 52.47

Step-by-step explanation:

First, multiply 12 and 5.50, then you should get 66.00. Then, take the 25% discount, and divide it by a hundred, you should get 0.25, now multiply 0.25 and 66.00. You should get 16.50, thats your discount, so subtract 16.50 from 66.00, you should get 49.50. Now for the sales tax, divide 6.0 by 100, you should get 0.06. Now multiply 0.06 and 49.50, you should get 2.97, thats your tax, add it to 49.50, and you get 52.47 so BOOM, thats your answer, your welcome

The ages of the members of a volunteer group are shown below.
13, 14, 14, 14, 15, 15, 15, 16, 16, 21, 23
Which box and whisker plot best represents these data?

Answers

I think it’s D

I’m not 100% bc it’s been a while since I learned about those

2) A circle has an area of 12ñ cm^2. Find its circumference. (Round your answer to the
nearest tenth.

Answers

Answer:

75.4

Step-by-step explanation:

Our area is divide the area by pi meaning 12 is our radius

to solve for circumference

we use

[tex]2[/tex]×[tex]\pi[/tex]×[tex]radius[/tex]

(2×3.14)×12=

6.28×12=

7.36

Find the value of x in the triangle shown below. X°
45°
56°

Answers

Answer:79

Step-by-step explanation:

180-(45+56)=79

[Inequalities]
Please help and thanks.

Answers

Answer:

9)m≤54

11)x>30

13)y≤40

Step-by-step explanation:

9)m−18≤36

Add 18 to both sides.

m≤36+18

Add 36 and 18 to get 54.

m≤54

11)9x>270

Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.

x=270/9

Divide 270 by 9 to get 30.

x>30

13)y/5≤8

Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.

y≤8×5

Multiply 8 and 5 to get 40.

y≤40

Complete the equation of the line through (3, -1) and (4, 7)

Answers

Answer:

y=8x-25

Step-by-step explanation:

first i find the slope which is 8 thennnnn

i substituted the x and y values and solved

then i just pieced it all together

Find the value of x. x =36 x =6 x = 97−−√ x = 97

Answers

Answer: 21

Step-by-step explanation:

Answer:

√97

Step-by-step explanation:

The volume of a cylinder is 4332π cubic centimeters and its radius is 19 centimeters.

The height of the cylinder is ___ centimeters.

Answers

Answer:

I don't know the answer please

Answer:

12 centimeters

Step-by-step explanation:

V=πr2h

4332π = π(19^2)h

(4332π)/(361π) = h

h = 12

An item regularly priced at $80. Karen bought it at a discount of 5% off the regular price. How much did Karen pay?

Answers

Answer:

$76

Step-by-step explanation:

You multiply 80*0.05

What’s the measure of E

Answers

Answer: 30 degrees

Step-by-step explanation:

Answer:

the answer is A.30 dgree

PLZ HELP ILL MARK U BRAINLIEST!!!!

Answers

Answer:

x=12

Step-by-step explanation:

58° = (5x-2)

add 2 to both sides

60 = 5x

divide by 5 on both sides x = 12

Find the unit rate for each problem below.

Price per ticket if it costs $279 for 9 tickets

Price per volleyball if 6 volleyballs cost $18.00

Number of strikeouts per inning if there were 54 strikeouts in 27 innings.

Answers

Answer:

$31 per ticket

$0.33 per volleyball

2 strikeouts per inning

Step-by-step explanation:

Price per ticket:

279 = 9x

Divide both sides by 9

31 = x

Price per volleyball:.

6 = 18x

Divide both sides by 18

6/18 = x

Both the numerator and denominator have a common factor of 6

6 ÷ 6 / 18 ÷ 6 = x

1/3 = x

Convert to decimal for money

0.33 = x

Number of strikeouts per inning:

54 = 27x

Divide both sides by 27

2 = x

The equation shown has an unknown number.
03-7
Enter a fraction that makes the equation true.

I need help

Answers

Answer:

1/5

Step-by-step explanation:

x ÷ 3/7 = 7/15

→ Multiply both sides by 3/7

7/15 × 3/7 = 1/5

→ Put into equation to verify correct solution

1/5 ÷ 3/7 = 7/15

Jorge has a square wall that he completely covered using 677 square feet of fabric without any overlap. Which measurement is closest to the side length of this wall in feet A. 65 B.26 C.32 D.32

Answers

Answer:

b

Step-by-step explanation:

what is the mean, median, mode and range of 7, 2, 1, 4, 1

Answers

The mean is the total of all the values, divided by the number of values. To find the mean, we add up all the results and then divide them by the total number of values which is 5:

1 + 1 + 2 + 4 + 7 = 15

15 / 5 = 3.

The median is the middle number in a list of numbers ordered from smallest to largest, so the median is 2.

1, 1, (2), 4, 7

The mode is the value that appears most often in a set of data. In this case, the mode is 1.

1: 2
2: 1
4: 1
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Highest value: 7
Lowest value: 1

7 - 1 = 6

Madera High School's Drama Department sold tickets to their next show. Tickets for adults were $10 each and youth were $5 each. A total of 150 tickets were sold costing $1150.

Select the two equations that form the system of equations to determine how many adults and youth attended.

A represents the number of adults that attended and Y represents the number of youth.

Answers

Answer:

I can't see the equations but I can give you one

Step-by-step explanation:

1150 = 5y + 10a

Answer:

the equation would be

A+Y=150

10A+5Y=1150

Step-by-step explanation:

A=number of adults

Y=number of growth

total tickets = 150

2 EASY QUESTIONS HELP

Answers

Answer:

a) 5/8

b)6/7

Step-by-step explanation:

Answer a 5/8 b6/7


hope this helps

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Answers

Answer:

23.

Step-by-step explanation:

5x + 20 = 3x + 66

Subtract 20 from both sides and  3x from both sides

5x - 3x  + 20  - 20 = 3x  - 3x + 66 - 20

5x - 3x = 66 - 20

2x = 46

x = 23.

You and your friend were working the ticket table at the last school basketball game.
The tickets sold for $5 for adults and $3 for students.
A total of 375 people attended the
game and a total of $1375 was taken in at the ticket table. How many adult tickets were
sold and how many student tickets were sold?

Answers

Answer:

Step-by-step explanation:

First

a+s=375

a=375-s

Next

5a+3s=1375, now using a found above makes this equation become

5(375-s)+3s=1375

1875-5s+3s=1375

1875-2s=1375

-2s=-500

s=250, since a=375-s

a=375-250

a=125

So 125 adult and 250 student tickets were sold.

Each team in the league can spend a maximum of $33 million per year on salaries. If the Whalers have 45 players and the average salary is $700,000, how much do they have left under the cap?

Answers

Answer:

1.5 million

Step-by-step explanation:

700,000x45=31,500,000

33,000,000-31,500,000=1,500,00

Scarlet made 8 1/4 quarts of soup that she put into 1/4-quart containers. She filled each container completely before starting to fill the next container. How many containers did she fill?

Answers

Answer:

33

Step-by-step explanation:

containers filled = total quarts of soup / size of container

8 1/4 ÷ 1/4

33/4 x 4 = 33

3
Drag the labels to the correct location on the table. Each label can be used more than once.
Identify the attributes of these functions.
minimum at (1,11)
maximum at (-1,-11)
symmetric about the line x = 1
no x-intercepts
symmetric about the line x = -1
range:(-00, -11]
f(x) = -5x + 11 - 11
h(x) = 15(x - 1)] + 11

Answers

For  f(x)=-5|x+1|-11:

no x-intercept

range(-infinite,-11)

symmetric about the line x= -1

maximum at (-1,-11)

For  h(x)=|5(x-1)|+11:

no x-intercept

symmetric about the line x= 1

minimum at (1,11)

yooo help me with number one pls??

Answers

Answer:

Ethier A or D

Step-by-step explanation:

The answer is d

Y=5x

Explanation

Y=5(3)=15
Y=5(1)=5

It is the only one in which you can get both 5 and 15.

SOMONE PLEASE HELP ME PLEASE

Answers

Answer:

you would look at the chart and the answer so this would be answered B

(5 + 42) ÷ 3 ● 6
I need the answer and Steps Plz

Answers

47/3 x6
Reduce
47x2
=
94

Thanks guys for the help​

Answers

Answer:

4=128

5=512

6=2048

Step-by-step explanation:

I am not sure if this is correct, because I never answered a question like this before. If I am correct can I plz have Brainliest? Thanks!

Have a great day!

HELP ME ASAP 100 POINTS If the right triangular prism shown has a volume of 36 cubic centimetres, what is the height of the triangular base of the prism, H? A. 12 cm B. 2 cm C. 6 cm D. 4 cm

Answers

Answer:

substitute all given values in this formula v=base ×height

then height= base /volume

Step-by-step explanation:

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