4. Find the HCF and LCM of 45 and 75 using prime factorisation.​

Answers

Answer 1

Answer:

HCF: 15 / LCM: 225

Step-by-step explanation:

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are:  1, 3, 5, 15, 25 75.

The highest factor they share in common is 15 (HCF).

Multiples of 45: 45, 90, 135, 180, 225

Multiples of 75: 75, 150, 225, 300, 375

The lowest multiple they share in common is 225 (LCM).


Related Questions

Ethan buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 7 sugar
cookies, and 7 oatmeal cookies.
What is the probability that Ethan feaches in the bag and randomly selects an oatmeal cookie from the
bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Round your answer
to four decimal places.

Answers

Answer:

0.0603

Step-by-step explanation:

probabilty ethan picks an oatmeal and peanut butter cookie  = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie

probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies

probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies

total number of cookies = 7 + 7 + 7 + 8 = 29

probability of selecting an oatmeal cookie = 7/29

probability of selecting a peanut butter cookie = 7/28

after eating oatmeal cookies, the amount of cookies would reduce by 1

7/29 x 7/28

click image to see it all​

Answers

9514 1404 393

Answer:

  x = 12

  y = 4√10

  z = 12√10

Step-by-step explanation:

The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.

  x = √(4×36) = 12

  y = √(4×(4+36)) = 4√10

  z = √(36×(36+4)) = 12√10

Evaluate f(x)=−5ex+4+3 for x=−6.

Answers

Answer:

f(-6) = 30e+7 or 88.55

Step-by-step explanation:

First you want to plug in the -6 into the function getting you:

-5e(-6)+4+3

You can multiply the -5*-6=30

Then add 4+3 giving you 7

So the final answer is 30e+7

A repair engineer charges a customer £50 for every job and £25
for every hour that he works. Which formula could you use to
find how much he charges, C, for h hours of work?

Answers

I don’t know if there were options to choose from, but if I had to make a formula it would be: 50 + 25h = C

Solve the system of equations.
2r+3s=-5
3r+5s=-9
Type an ordered pair​​

Answers

Answer:

2r + 3s= 9 <=> -6r -9s = -27;

3r + 2s= 12 <=> 6r + 4s = 24;

                   => 0*r -5*s = -3 => s = 3/5;

2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;

Calculate the perimeter of the above triangle.
10 units
30 units
5:
22.9 units
17.1 units

Answers

Step-by-step explanation:

1.

The obvious question to ask in this situation is, “how many miles does Joseph travel on Mondays”? To compute, we each distance: 3 + 6 + 6 = 15.

Joseph travels 15 miles on Mondays.

3.Perimeter means “distance around a closed figure or shape” and to compute we add each length: 3 + 6 + 6 = 15

4.Solution

Just keep adding those side lengths. 6 + 7 + 4 + 4 + 5 + 6 + 2 = 34 units

If you look closely at the shapes in the previous examples, you might notice some ways to write each perimeter as a more explicit formula. See if the results from what we have done so far match the formulas below.

Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2

KHAN ACADEMY

Answers

Answer:

y=-3x+4

Step-by-step explanation:

Using the formula y=mx+b

mx= slope b= y-intercept

hence,

y=-3x+4 has a y-intercept of (0,4)

Answer:

A y=3x +4

Step-by-step explanation:

since when x=0 then y will be at +4

Y=3(0)+

Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.

Answers

Answer:

The peach will way more then the apple

Hope this helps you ☜(゚ヮ゚☜)

The weight of the peach is greater than the weight of apple

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the weight of apple be = 85,000 milligrams

And , let the weight of the peach be = 0.15 grams

Now , from the unit conversion

1 gram = 1000 milligrams

And , 1 kilogram = 1000 grams

So , the weight of apple A = 85 grams

And , the weight of the peach P = 150 grams

Therefore , P > A

Hence , weight of peach is larger

To learn more about unit conversion click :

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PLSSS HELP AND GIVE THE RIGHT ANSWER!!!!!!!!!!!!!!!!!!!
The fourth graders are having lunch in the schoolyard. Two classes of 30 students each, 2 teachers and 2 parents will be there. If 8 people sit at each table, how many tables will be needed for all the people having lunch in the schoolyard?
a) 8
b) 60
c) 64
d) 9

Answers

Answer:

8 tables

Step-by-step explanation:

2 class * 30 students + 2 teachers + 2 parents

= 64 people

64 people * 1 table/8 people = 8 tables

Mark brainliest if this helped

Mark brainliest if this helped

Step-by-step explanation:

8 tables because 30+30 =60

and 2+2=4 which is 64 and 8×8=64

State the domain and range of f(x)=[[x-2]]

Answers

Answer:

domain: -infinity < x <infinity or (-infinity, infinity)

range: -infinity < f(x) < infinity or (-infinity, infinity)

Step-by-step explanation:

Which of the following equations will produce the graph shown below?

Answers

C is the correct answer

6x^2+6y^2=144 is the answer to this question

Step-by-step explanation:

6x^2 + 6y^2 = 144  This is correct for this problem. Pay attention to the numbers on the line before saying its wrong

Daria sells televisions. she earns a fixed amount for each television and an additional $15 of the buyer gets an extended warranty. If Daria sells 14 televisions with extended warranties, she earns $1,050. How much is the fixed amount Daria earns for each television?

Answers

She sells 14 and all 14 has $15 added, so do 14 x 15 = 210

Hope this helps :D

Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
78, 45, 60, 33, 84

Answers

Here is a photo of the decimal places

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4pi
units. The base of cylinder B has an area of 9pi units.

The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
a- 4/9
b-2/3
c-3/2
d-9/4​

Answers

Answer:

D

Step-by-step explanation:

Pretty easy question just stuck please help ASAP

Answers

Answer:

SA = 300 cubic yards

Step-by-step explanation:

SA = 12(5) + 8(12 + 13 + 5)

I really need help I would appreciate it if someone could help me

Answers

Answer:

a) The vertex of the graph is [tex](h,k) = (0, 31)[/tex], b) [tex]a = -16[/tex], c) The equation of the parabola is [tex]f(t) = -16\cdot t^{2}+31[/tex].

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is [tex](h,k) = (0, 31)[/tex].

b) If we know that [tex](h,k) = (0, 31)[/tex], [tex]f(t) = a\cdot (t-h)^{2} + k[/tex] and [tex](t,f(t)) = (1,15)[/tex], then the value of [tex]a[/tex] is:

[tex]f(t) = a\cdot (t-h)^{2} + k[/tex]

[tex]15 = a\cdot (1-0)^{2}+31[/tex]

[tex]15 = a\cdot 1 + 31[/tex]

[tex]a = 15-31[/tex]

[tex]a = -16[/tex]

c) The equation of the parabola is [tex]f(t) = -16\cdot t^{2}+31[/tex].

HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP

Answers

Answer:

x = 12

Step-by-step explanation:

Given:

m<BCF = 4x°

m<CFE = 11x°

Required:

m<BCF and m<CFE

SOLUTION:

m<BCF + m<CFE = 180° (same side interior angles are supplementary)

Substitute

4x + 11x = 180

15x = 180

Divide both sides ny 15

15x/15 = 180/15

x = 12

find the 12th term in the sequence: 1/16, -1/8, 1/4

Answers

Answer:

Step-by-step explanation:

hello :

the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2   = r

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and A1 the first term

in this exercice :   r =2         A1 = 1/16

when : n =12 you have the  12rd term  A12

A12 = 1/16 × 2^(12-1)  = 1/16 × 2^(11)

write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45​

Answers

Answer:

y = 5/4x - 6

Step-by-step explanation:

First, put 4x + 5y= -45​ in y = mx + b form

4x + 5y= -45​

5y = -4x - 45

y = -4/5x - 9

So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4

To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

-11 = 5/4(-4) + b

-11 = -5 + b

-6 = b

Plug in b and the slope into y = mx + b

y = 5/4x - 6

So, the equation is y = 5/4x - 6

I think I might know but I’m not to sure of my answer.

Answers

Answer:

Step-by-step explanation:

10 times

At Gms there are 5 females for every 4 males. if there are 372 males, then how many females are there​

Answers

Answer:

465 females

Step-by-step explanation:

(372/4) x 5 = 465

Answer:

465

Step-by-step ex

The males are multiplyed by 93 so you also multiply   the girls by 93

I have 6 congruent faces and 2 bases.

Answers

Answer:

A cube

Step-by-step explanation:

A cube has 6 of the same faces and there are 2 bases

a cube, a cube has 6 congruent faces and 2 bases

A water station table at a marathon starts with 200 plastic cups on it. Every minute, 15 cups are taken from the table. How many minutes could have passed if there are fewer than 50 cups on the table?

Answers

Answer:

is dancing with the circus grows and the mongooses you join us for the circus grows and the mongooses you join us for the circus grows and the mongooses you

5+5(6*7)Easy points cause I love y’all pur

Answers

tysmmm ilyyyyyyyyyyyyyyyy

If cos 67° is close to 25, which is closest to the length of NO?
Options
2 centimeters
20 centimeters
40 centimeters
60 centimeters

Answers

60 centimeters your welcome

Find the volume (in cubic yards) of a cylinder with radius 1.2 yards and height 2.6 yards. (Round your answer to one decimal place.)

Answers

Answer: 11.76

Step-by-step explanation:

The formula for cylinder is pi*r^2*h

so substitute and you will get pi*1.44*2.6

Simplify it and you will get 11.75616 or 11.76.

Answer:

11.8 yards

Step-by-step explanation:

Elevii au studiat o schiță a corpului uman. Ei au observat că ar putea trasa pe schiță un
cerc pentru care centrul O și punctele A , B și C sunt corespunzătoare unor structuri
anatomice.
Cercul este reprezentat în figura alăturată. Centrul
cercului este punctul O, BC este diametru al cercului, iar
punctul A este situat pe cerc, astfel încât ∢BAO = 60° . Raza
cercului este de 2cm .

6. Calculează lungimea diametrului BC .

7. Determină măsura arcului mic AC .

Answers

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

PLEASE HELP ASAP!!!
A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair? Number line graph with closed circle on 120 and shading to the right Number line graph with closed circle on 90 and shading to the right. Number line graph with closed circle on 150 and shading to the right Number line graph with closed circle on 30 and shading to the right.

Answers

Answer:

OPITON 2

Step-by-step explanation:

120-30=90 SHE NEED 90 DOLARS MORE

HOW DO WE FIND THE PRODUCT OF A FRACTION

Answers

Answer:

you have to multiply the given fractions because product means Times

Step-by-step explanation:

In order to find the product of a fraction

you just have to multiply both numerator and denominator, then we reduce it (if needed).

I'll be showing you an example, to see what I'm trying to explain.

we have the fractions:

3/4 x 2/8

(multiply the numerators and denominators)

 3        2          6

___ × ___ = ____

 4        8          32

we get the answer of 6/32... then we simplify it

the reduced form would be 3/16

The table shows how many children and adults prefer each of two different
fruits. How would you find the joint relative frequency of being a child who
prefers watermelon?
Watermelon
Grapes
Total
Child
132
85
217
Adult
111
117
228
Total
243
202
445
A. Divide 132 by 445.
B. Divide 132 by 243.
C. Divide 243 by 445.
D. Divide 132 by 217

Answers

Answer:

B

Step-by-step explanation:

i did the math

The joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.

To find the joint relative frequency of being a child who prefers watermelon:

Total number of children who prefers watermelon = 132

Total number of children and adults = 445

joint relative frequency of being a child who prefers watermelon:

= 132/445

Thus, the joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.

Learn more about the conditional relative frequency here:

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