16. (a) Find the Highest Common Factor (HCF) of 30 and 42.

Answers

Answer 1

Answer: 6

Step-by-step explanation: By checking the factors of both numbers, you see that 6 is their greatest common factor.

30: 1, 2, 3, 5, 6, 10, 15, 30

42: 1, 2, 3, 6, 7, 14, 21, 42

Hope this helps!


Related Questions

Which statement is true

Answers

Answer:

b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Find the LCD of the given rational equation:

Answers

Answer:

The correct answer is: D

Step-by-step explanation:

Consider the domain, which in this case x cannot be equal to -4 and -2.

The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

How to determine the LCD?

The rational equation is given as:

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]

Factorize the denominator of the fraction on the right hand side

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]

Write out the common factors in the denominator

LCD = (x + 4)(x + 2)(x - 2)

Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

Read more about rational equation at:

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What percent is the shaded portion of the entire diagram? A bar diagram with 9 shaded squares and 11 unshaded squares. 9% 40% 45% 90%

Answers

Answer:45%

Step-by-step explanation: Here you have 9 shades out of 20 .and to write any number as a percent you must put the denominator as 100.. so multiply both numerator and denominator by 5 .. so it will be 45 out of 100 instead if 9 out of 20

Answer:

answer is 45%

Step-by-step explanation:

Took the quiz got it right

The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.

Answers

Answer:

An increase of $0.94

Step-by-step explanation:

Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?

Answers

Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.

I NEED HELP FOR MY TEST!

Answers

I cannot see the table. But if I could that would be helpful.

But, if you were to look at the table see if the numbers are increasing or decreasing for the y column. Once you figure this out, find out how much the numbers are increasing/decreasing by and that should be the answer for the constant of proportionality. If it is decreasing, it would be a negative number. If it is increasing, it would be a positive number.

If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?

Answers

Answer:2n+2

Step-by-step explanation:

A business knew that 30%, percent of its customers were less than 25 years old. The business wanted to increase this percentage, so they created a marketing campaign that targeted this age group. After the campaign, the business obtained a random sample of 50 customers to test H_o:p=0.3 versus ​Ha :p > 0.3, where p is the proportion of this business's customers who are less than 25 years old after the marketing campaign. After the campaign, the business obtained a random sample of 50 customers and found that 18 of those sampled were less than 25 years old. What would be the P-value for their test?

Answers

Answer:

The answer is "0.9258201 or [tex]\bold{ \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}}[/tex]".

Step-by-step explanation:

[tex]\to P= 30 \ \%\\\\ \to x= 18 \\\\ \to n=50\\\\\\\hat p= \frac{x}{n} = \frac{18}{50} = 0.36 \\\\\bold{Formula:}\\\\X= \frac{\hat p -p}{\sqrt{\frac{p \times (1-p)}{n}}}\\\\[/tex]

    [tex]= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times (1-0.3)}{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.3 \times 0.7 }{50}}}\\\\= \frac{0.36 -0.3}{\sqrt{\frac{0.21}{50}}}\\\\= \frac{0.06}{\sqrt{0.0042}}\\\\= \frac{0.06}{0.064807407}\\\\= 0.9258201[/tex]

Answer:

Step-by-step explanation:

What is the slope of the line passing through the points (-3, 4) and (2, - 1)?

Answers

Answer:

slope = -1 or -x

Step-by-step explanation:

Do y2-y1/x2-x1

Plug in

-1 - 4/ 2 - -3 = -5/5

(Simplify)

-1 so the slope is

-1 or -x

If you want to find the equation use one of the points you have.

4 = -1(-3) + b

4 = 3 + b (subtract 3 on each side)

1 = b

y = -1x + 1 is the equation

slope = - 1

explanation:
m = y2 - y1
————
x2 - x 1

(x1,y1) = (-3,4) -1 - 4 -5
———————. -> ———- = ——- = -1
(x2,y2) = (2,-1). 2 - ( -3) 5



everything is in the picture​

Answers

Answer:

-2

Step-by-step explanation:

We have the graph of [tex]y=f(x)[/tex].

We want to find [tex]f(-6)[/tex].

In other words, what is the value of the graph when [tex]x=-6?[/tex]

We can see that when [tex]x=-6[/tex], our graph [tex]f(x)[/tex] is at the point B(-6, -2).

Therefore, [tex]f(-6)=-2[/tex]

So, our answer is -2.

A building lot in a city is shaped as a 30°-60°-90° triangle, like the figure shown. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.
Show how you know.

b. Find the length of the hypotenuse of the triangular lot.
Show how you know.

Answers

Answer: a) 71.01408311ft

b)82ft

Step-by-step explanation: Definition of 30-60-90 degree triangle, "a right triangle in which the angle measure 30-60-90 degrees. The hypotenuse is twice the shorted leg and the longer leg is square root of 3 times longer than the shorter."

a) x √3 = 41 √3 = 71.01408311

b) 2x = 2(41) = 82 ft

Geometry question..can anyone help?

Answers

Answer:

For the trapezoid it is the y axis.....

For the triangles it is the x axis

Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle

Answers

Answer: one angle would be 50 degrees while the other would be 130 degrees.

Step-by-step explanation:

Plz help 30 points to whoever answers correctly. Write an equation of the parábola in intercept form. X-intercepts of 3 and 6 passes through (9,-9)

Answers

Answer:

k lemmee checkkkkkkkk

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?

Answers

I think the answer is -51

Pwease help me wit this problem, tysmm

Answers

Answer:

yeah every time Charlie takes 30 dollars more than previous salary

fun quashen first to answer correctly is getting 20 points ( usely you get 5 i am giving 20 ) do it correct and fast .​

Answers

Answer:

the answer is D

Step-by-step explanation:

Mental math what is 90 x 20

Answers

Answer:

1800

Step-by-step explanation:

90*20=1800 because 9*2=18 add two zeroes and ur done

Hope this helps

Answer:

1,800

Step-by-step explanation:

90 x 20

9 x 2=18

18+00

1,800

Plz give Brainiest

Classify the following triangle. Check all that apply.
A. Right
B. Isosceles
C. Obtuse
D. Acute
E. Equilateral
F. Scalene

Answers

Answer:

is there a chart to this question?

because I can't tell the answer just by looking at it

Step-by-step explanation:

it's a b c d and f are all the correct answers

Last month, Carter earned $165 for his after-school job. If he was paid $8.25 per hour, how many hours did Carter work?

Answers

Answer:

20

Step-by-step explanation:

165 divided by 8.25 is 20.

Answer:

20 hrs

Step-by-step explanation:

Just divide $165 by $8.25

Hope this helps!

What is the probability that you will get heads no more than once out of 3 flips? P(0 successes) + P(1 success)=

Answers

Answer:

The answer is .5

Step-by-step explanation:

Answer:

The correct answer is 0.5

Step-by-step explanation:

You have to do 0.125 (0 successes) plus 0.375 (1 success). This is equal to 1/2

This is correct on edge.

Solve for f:
f divided by -2/3 = -1/3

Answers

-f (3/2) = -1/3
-3/2f = -1/3
f= 2/9 or 0.2

Answer:

2/9

Step-by-step explanation:

A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?

Answers

3 i think i’m not sure tho if u add 2/5 until u get 1 3/5 that might help

If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?

A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c

Answers

Answer:

could you give a picture of the problem. cause I may be able to help but I cant really understand the question with what you typed

Answer:

D

Step-by-step explanation:

just took this test

The only expression 3(2x+7)-4(-3x+5) is equal (=) to

Answers

Answer:

18x + 1

Step-by-step explanation:

3(2x + 7) -4(-3x +5)

6x + 21 + 12x - 20

6x + 12x + 21 - 20

18x + 1

Answer:

18x+1

Step-by-step explanation:

3(2x+7)-4(-3x+5)= 6x+21+12x-20

Combine Like Terms:

6x+12x= 18x

21-20=1

=18x+1

if 2 log x + 3 log y = 0, find y in terms of x.​

Answers

Answer: If 2 log x + 3 log y = 0, find y in terms of x.

sorry for my messy handwriting!!!

Step-by-step explanation:

It is well known that generally a female's growth spurt occurs before a male's; therefore the
female's height data will likely be higher than the male's data.
Discuss this idea in a well-structured paragraph. Use your calculations of the mean, median, mode
and range of the data to support your decision.

Answers

Answer:

Most girls start their sexual development between the ages of 8 and 13 (the average age is 12), and have a growth spurt between the ages of 10 and 14.

Most boys start developing sexually between the ages of 10 and 13, and continue to grow until they're around 16.

this my help

Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah

Answers

Answer:

Sarah wrote 4 songs

Ronnie wrote 10 songs

Paul wrote 8 songs

Step-by-step explanation:

Sarah 4
Roonie 10
Paul 8

6 TH grade math
On a hot day, Myra poured 4 1/8 buckets of water into a plastic wading pool. A few minutes later she added another 3 5/8 buckets. How much water did Myra pour into the pool?

Answers

Answer:

7 3/4

Step-by-step explanation:

4 1/8 + 3 5/8

Add the whole numbers, 4 + 3 = 7.

Add the fractions, 1/8 + 5/8 = 6/8.

You get 7 6/8. Simplify 6/8 to get 3/4.

Your answer is 7 3/4.

Write 4.399 as a ratio of two integers. Enter your answer as a reduced improper fraction.

Answers

Answer:

Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000

Simplify the improper fraction,

=43991000

In conclusion,

4.399=43991000

We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]

[tex]\frac{4399}{1000}[/tex]

From the Question we are told that

Write 4.399 as a ratio of two integers

Generally to reduce 4.399 to an improper fraction we have that

[tex]\frac{4399}{1000}=4.399[/tex]

Improper action representation of the given integer

We proceed to reducing the fraction .We see that the are no means to reduce the fraction

Therefore

[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]

For more information on this visit

https://brainly.com/question/15276410

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