Find the HCF of the given pair of numbers using the prime factorization method 48 and 60.​

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Given :-

Two numbers => 48 and 60

To Find :-

HCF of 48 and 60

Solving :-

Prime factorize the numbers.

48 = 2⁴ x 3

60 = 2² x 3 x 5

Solution :-

HCF (48, 60) = 2² x 3 = 12


Related Questions

Use the order of operations to find the value of the following expression.
10^2 - 2 x (8) + 11
795
155
15
95

Answers

The answer is 95

Work

100 - (2)(8) + 11
100 - 16 + 11
84 + 11
= 95

Answer:

95. So basically it's the last option. :,)

Step - Step Explanation:

10² - 2* 8 + 11

100 - 2*8 + 11

100 - 16 + 11

84 + 11

= 95.

Write an equation of the line that satisfies the given conditions.
Through (0,−4), perpendicular to the graph of x−3=−6. Answer in slope intercept form.

Answers

let's take a peek at the equation above

[tex]x-3=-6\implies x = -3\qquad \impliedby \textit{a vertical line}[/tex]

Check the picture below, there's no slope-intercept form per se for a horizontal line, unless you'd want to give it a slope of 0 and write it as y = 0x - 4.

Your teacher asks the class to evaluate the expression (3³)¹. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.

Answers

The most likely error is that, the student multiplied 27 by 3, after the first computation

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the error in the calculation?

The expression is given as

(3^3)^1

As a general rule, we start by evaluating the expression in the inner bracket

So, we have

(3^3)^1 = (3 x 3 x 3)^1

Evaluate the products

So, we have

(3^3)^1 = (27)^1

Next, we evaluate the exponent

So, we have

(3^3)^1 = 27

The above implies that the value of the expression is 27 and not 81 as the student solved

The most likely error is that, the student multiplied 27 by 3, after the first computation

Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation

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Try This question out and I’ll give you brainliest

Answers

Answer:

7/12ths

Step-by-step explanation:

2/3rds of the way full would be 8/12. Since she started at 1/12th of a tank, 7/12ths was added. (:

The Answer Is 7/12ths

the length of a rectangle is 4 times it’s width. The rectangle has an area of 1024cm squared

Answers

[tex]Your answer it W^2 = 1024/4 = 256.[/tex]

Step-by-step explanation:

What is the slope of the line that passes through the points (-8, -6) and (-8,4)?
Write your answer in simplest form.

Answers

(-8,-6)(-8,4)

[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]

[tex]\\ \rm\rightarrowtail m=10/0[/tex]

Parallel to x axis

[tex]\\ \rm\rightarrowtail m=\infty[/tex]

Twice the sum of a number and 9 is 30.

Slove equation

Answers

Answer:

6 and 9 twice is 30

Step-by-step explanation:

6 plus 9 is 15 twice is 30

Answer:

10.5

Step-by-step explanation:

30 - 9 = 21

21 ÷ 2 = 10.5

if sam can carve 1/6 block of wood and sam has 18 of wooden block how many would he have

Answers

Answer:  3 blocks

Step-by-step explanation:

18/6=3

The formula of the diameter, radius, and area of a circle.

Answers

Answer:

Step-by-step explanation:

diameter = 2r
radius = C/2π
area = πr^2

A bicyclist going 35 mph can make it from 1st Street to the Boston Eatery in 45 minutes. How long (in minutes and seconds) will it take a motorcyclist going 40 mph?

Answers

Answer:

39.375 minutes

formula's:

distance = speed * time taken

time taken = distance/speed

speed = distance/time taken

here given:

speed: 35 mphtime = 45 minutes = 0.75 hours

solve for distance:

distance = 35 * 0.75distance = 26.25 miles

1st Street to the Boston Eatery distance is 26.25 miles, which is constant.

If speed changes to 40 mph.

time taken = distance/speedtime taken = 26.25/40time taken= 0.65625 hours = 39.375 minutes

(HELP) What is the length of xy in xyz?

Answers

Answer:

xy=6

Step-by-step explanation:

sin θ= opposite side÷ hypotenuse

sin 30°= xy÷12

sin 30°=1/2

Therefore,

1/2=xy÷12

1/2×12=xy

xy=6

13. Find the area of the triangle given a = 14, b = 9, and C = 66 degrees. Round your answer to the nearest tenth.

14. Find the area of the triangle given a = 38, b = 31, and C = 29 degrees. Round your answer to the nearest tenth.

15. Find the area of the triangle given b = 17, c = 19, and A = 135 degrees. Round your answer to the nearest tenth.

Answers

Answer:

13) 57.6 units²

14) 285.6 units²

15) 114.2 units²

(All answers rounded off to the nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7

Answers

Answer:11/c

Step-by-step explanation:

Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel

Answers

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure [tex]y[/tex] is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have [tex]-\frac{1}{2} y[/tex] so we have to divide both sides by [tex]-\frac{1}{2}[/tex] to get [tex]y=-12x -20[/tex]

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or [tex]m[/tex] in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

Help help math math ASAP

Answers

Answer:

y equals to x plus 9

Step-by-step explanation:

-x+y=9

so, y=x+9

Kara found two websites that she could use to download songs.

The first website charges a one-time membership fee of $5 and $0.99 per song.
The second website has a one-time membership fee of $10. In addition, the second website charges $0.89 per song.


Which equation could be used to determine how many downloaded songs, d, must be purchased for the cost at the two websites to be the same?


A. 5d + 0.99 = 10d + 0.89
A. , 5d + 0.99 = 10d + 0.89

B. 5+ 0.89d = 10 + 0.99d
B. , 5+ 0.89d = 10 + 0.99d

C. 5 + 0.99d = 10 + 0.89d
C. , 5 + 0.99d = 10 + 0.89d

D. 5d + 0.89 = 10d + 0.99

Answers

Answer:

c

Step-by-step explanation:

the answer is c because if you add it you’ll get that & that’s the only that makes sense.

Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?

Answers

Answer:

42 hours

Step-by-step explanation:

First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.

Thank you

42 hours Susan worked this week to $378.

Given that, Susan's salary varies directly as the number of hours worked.

We need to find out how many hours did she work this week.

What is the direct variation?

Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.

According to the question, last week she earned $144 for working 16 hours. This week she earned $378.

Let the number of hours she works this week be x.

So, the proportion is 144:16::378:x

⇒144×x=16×378

⇒x=42

Hence, 42 hours Susan worked this week to $378.

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Is the quotient of -125 and five positive negative or zero

Answers

Answer:

negative

Step-by-step explanation:

we know this because a negative divided by a positive is a negative

Answer:

Step-by-step explanation:

= -125 ÷ 5

= -25

It's negative

Find the exponential function that contains the points (2,10) and (3,5)

Answers

Step-by-step explanation:

you mean to say 2 to the power of 10 and 3 to the power of 5

What is the distance from m(-1,6) to n(11,1)

Answers

Soln:

Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).

Now,

Use distance formula and calculate it

a) Write down the value of angle x.
b) Write down the value of angle y.

HELP PLS

Answers

Answer:

A) is 49 degrees and B) is 63

Step-by-step explanation:

they are kinda like mirrors

X is 49 and y is 63 degrees

I need assistance with rational expressions. ​

Answers

Just search it up in safari and copy and paste the question. Find a site that will help you with it.
3y-4/y(3y+5)

3y-4 over y(3y+5)

Allison spent a total of $16.20 for lunch including tax and a tip. She paid 8% sales tax on her purchase and then left a tip equivalent to 20% of her total bill including tax. What was the cost of Allison’s meal, before tax and tip?

Answers

Answer:good job!

Step-by-step explanation:

Step-by-step

Find the surface area of the composite figure 2 cm 2 cm 6 cm 6 cm 4cm 4 cm 5 cm 10 cm​

Answers

Answer:

=268 cm²

Step-by-step explanation:

S=(4×10+4×5+5×10)×2×6×4=268cm²

The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid

ANSWER ASAP!

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.

x+3y=0

Answers

the answer is y=-1/3x


Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.​

Answers

Answer:

[tex]\frac{7}{3}[/tex]

Step-by-step explanation:

42/18=[tex]\frac{7}{3}[/tex]

Rendell took 2.34 hr to cycle 42 km.

Rendell cycles 42 km at an average speed of 18 km/hr.
Distance = 42 km
Speed    =   18 km/hr

What is speed?

Speed is define as the distance covered per unit time,

Here,
Time = Distance / speed
        =  42 / 18
        =  2.34 hr

Thus, Rendell took 2.34 hr to cycle 42 km.

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Need help with math probelm if do 5 stars and brainly points

Answers

Answer:

63 units^2

Step-by-step explanation:

the area of the rectangle is 48 units^2

l*h=a

6*8=a

48=a

The area of the triangle is  15 units^2

b*h/2=a

6*5/2=a

30/2=a

15=a

Let me know if you have any further questions, hope this helped!

Which are difference of two squares? Select two options.






a x2 − 9
b x2 −100
c x2 − 4x + 4
d x2 + 10x + 25
e x2 + 15x + 36

Answers

Answer:

the answer will have to be c and d

The answers are A and B

Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)

Answers

Answer:

h(X)=5x-6

Step-by-step explanation:

Fill in variables with corresponding equations.

h(X)=(3X-5)-(-2X+1)

Distribute the - sign to (-2X+1)

h(X)=3X-5+2X-1

Add and subtract values together to find answer

h(X)=5X-6

A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate non directional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is μ₀ = 100, with a standard deviation of σ = 14. If he designates the mean for the population of anxious people who take the anti-anxiety drug as μ anti-anxiety drug anti-anxiety drug , he can identify the null and alternative hypotheses as:

Answers

Answer:  

hello your question is incomplete attached below is the complete question

Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

Step-by-step explanation:

average score for anxious people  = 100

standard deviation  = 14

mean of anxious people who take the anti-anxiety drug

null hypothesis ( H ) =

Alternate hypothesis ( H1 ) ≠

using the z- test ( hypothesis test ) the condition that is not required is the condition that

The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't

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