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

students in a science class recorded lengths of a streched spring, as shown in the table. determine if each statement is true or false.

(Look at picture above)

A. The relationship represents a constant rate of change. True or false?

B. The slope of the relationship is 6 grams per centimeter. True or false?

C. The equation that represents the relationship is y = x + 10. true or false?​

Answers

Answer:

Step-by-step explanation:

Subtract using the number line.

−2−(+7)
Select the location on the number line to plot the point.

Answers

Answer:

-9

Step-by-step explanation:

see attached

-2 -7 = -9

Whích table corresponds to the equation y = - 3x - 2

Answers

Answer:

Step-by-step explanation:

please help me with this i will mark you brainliest ​

Answers

Answer:

(-3,7)

Step-by-step explanation:

Hope it helps

A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.​

Answers

Answer:

0.14*14= 1.96

Step-by-step explanation:

Must multiply 0.14 times 14 for the answer.

which integer represents 19°F bellow

Answers

Answer:   -19

Draw out a vertical number line. Positive values are above 0, and negative values are below zero.

by which smallest number can 275 be multiplied to get perfect square ​

Answers

your question does not rly make sense so i am guessing and going to say 275 because 275x275 is a perfect square

The ___ is the part of the neuron that carries information away from the cell body.

Answers

Answer:

axons

Step-by-step explanation:

The axons  is the part of the neuron that carries information away from the cell body.

Answer: axon

Step-by-step explanation:

I just know cause I'm a different breed

The function g(x) = -|x| is a transformation of the absolute value parent function. What does this graph look like?

Answers

Answer && Step-by-step explanation:

We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right

it will always be negative due to the negative sign being outside the abs val,

and the abs val, making the inside positive.

thus the resulting graph will be inverted from what was previously said

it will now come from the bottom right to the top left (still a diagonal line)

HELP!!!! (zoom in to see it better)

Answers

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

if m 2 =6x+8 and m 6 = 8x-6, find the value of x so that l is parallel to m

Answers

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

[tex]m_2 = 6x + 8[/tex]

[tex]m_6 = 8x - 6[/tex]

Required

Determine x when both lines are parallel

For parallel lines, slopes must be equal.

i.e.

[tex]m_1 = m_2[/tex]

In this case,

[tex]m_6 = m_2[/tex]

Substitute values for m6 and m2

[tex]8x - 6 = 6x + 8[/tex]

Collect Like Terms

[tex]8x - 6x = 8 + 6[/tex]

[tex]2x = 14[/tex]

Solve for x

[tex]x = 14/2[/tex]

[tex]x = 7[/tex]

Answer:7

Step-by-step explanation:

estimate the quotient of 9 1/3 ÷ 2 3/4

Answers

The estimated quotient is 3. This is because 9 1/3 rounds to nine and 2 3/4 rounds to 3.

Answer:

The quotient gives: 3  13/33

Step-by-step explanation:

We start by converting the mixed numbers into improper fractions, since we can easily divide fractions.

the number 9 1/3  can be written as: 27/3 + 1/3 = 28/3

the number 2 3/4 can be written as: 8/4 + 3/4 = 11/4

Now we can divide them using the properties of dividing fractions:

28/3 divided by 11/4 = 28/3 * 4/11 = 112/33

which in mixed number form is : 99/33 + 13/33 = 3  13/33

Which transformation of a shape may result in a new shape not congruent with the original shape?
O dilation
O reflection
O rotation
O translation

Answers

Answer:

dilation

Step-by-step explanation:

dilation will make the shape larger or smaller which will change the shape.

Find A and C,Laws of sines and cosines

Answers

Answer:

[tex]AC=15.9976[/tex]

Step-by-step explanation:

Law of Sines: [tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

Step 1: Define

a = 8 ft

A = 30°

b = ?

B = 89°

Step 2: Substitute and Evaluate

[tex]\frac{sin(30)}{8} =\frac{sin(89)}{b}[/tex]

[tex]bsin(30)=8sin(89)[/tex]

[tex]b=\frac{8sin(89)}{sin(30)}[/tex]

[tex]b=16cos(1)[/tex]

[tex]b=15.9976[/tex]

[tex]AC=15.9976[/tex]

The correct Standard Form of the equation y=−1/3x+23/9

Answers

Answer:

3x + 9y = 23

Step-by-step explanation:

Two angles of a triangle measures 55 degrees and 20 degrees

Answers

Answer:

105

Step-by-step explanation:

55 + 20 + x = 180

What equation is equivalent to 3x+6=4x+7

Answers

Answer:

x=-1

Step-by-step explanation:

The first thing we can do is subtract 3x from both sides (it makes solving the equation easier if you get rid of the variable first).

3x+6=4x+7

-3x    -3x

6=x+7

All we need to do now is subtract 7 on both sides.

6=x+7

-7    -7

-1=x  or  x=-1  (they both mean the same thing!)

Hope this helps!! Have a wonderful day c:

I need help with this

Answers

Answer: B. 8 x 10^3

Step-by-step explanation:

b. 8 x 10³

hope this helps

Mr. Javier purchased a number of pencils for ₱180 and sold all except 6 at a profit of ₱2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items he bought and the cost of each in pesos

Answers

Answer:

36 pencils

[tex]Cost = 0.2[/tex]

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is [tex]\frac{x}{180}[/tex]

[tex]Selling\ Price = Cost + Profit[/tex]

[tex]Selling\ Price = \frac{x}{180} + 2[/tex]

Since all but 6 items were sold, the total selling price is:

[tex]Total = (x - 6)(\frac{x}{180} + 2)[/tex]

This amount can be used to buy 30 more items.

So, we have:

[tex](x - 6)(\frac{x}{180} + 2) = x + 30[/tex]

Multiply both sides by 180

[tex]180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)[/tex]

[tex](x - 6)(x + 360) = 180x + 5400[/tex]

Expand brackets

[tex]x\² + 360x - 6x - 2160 = 180x + 5400[/tex]

[tex]x\² + 354x - 2160 = 180x + 5400[/tex]

Equate to 0

[tex]x\² + 354x - 180x - 2160 - 5400 = 0[/tex]

[tex]x\² + 174x - 7560 = 0[/tex]

Expand

[tex]x\² + 210x - 36x - 7560 = 0[/tex]

[tex]x(x + 210) - 36(x + 210) = 0[/tex]

[tex](x - 36)(x + 210) = 0[/tex]

[tex]x - 36 = 0[/tex] or [tex]x + 210 = 0[/tex]

[tex]x = 36[/tex] or [tex]x = -210[/tex]

Since, number of items can't be negative, we have to discard x = -210.

Hence:

[tex]x = 36[/tex]

We can then conclude that, Mr. Javier purchased 36 pencils

Recall that

[tex]Cost = \frac{x}{180}[/tex]

[tex]Cost = \frac{36}{180}[/tex]

[tex]Cost = 0.2[/tex]

Raj and his friends went to the movies today and ate 875 Which steps can be used to find how much popcorn pieces of popcorn, or 125% more than they ate when Raj and his friends ate at the movies last week? they went to the movies last week. Check all that apply. Popcorn 125 + 750 = 875 eaten today 0 125 875 O 125 x 7 = 875 100 x 7 = 700 pieces of popcorn 100 + 750 = 850 pieces of popcorn 0 100 ? 125 + 875 = 1000 pieces of popcorn Popcorn eaten last week​

Answers

Answer:

125 x 7 = 875 pieces of popcorn

100 x 7 = 700 pieces

Step-by-step explanation:

Answer:

Step-by-step explanation:

B and C

The GCF of 14 and a number is 7. Which of the following could be the number?

A 49

B 42

C 56

Answers

Answer:

  A  49

Step-by-step explanation:

Any odd number that has 7 as a factor will be a candidate. Of the choices listed, the only possibility is ...

  49

__

If the number is even and has 7 as a factor, then it will be a multiple of 14. That is, the GCF will not be 7, but will be 14. Hence, the number must be an odd multiple of 7.

1
2
3
Use the order of operations to fin
3 x 15 + 3 x 20 - 35 = n

Answers

3 x 15 + 3 x 20 - 35 = n
45 + 3 x 20 - 35 = n
45 + 60 - 35 = n
105 - 35 = n
70=n

*HELP*. I need help on this stuff on I-ready... *HELP*

Answers

Answer:

First one

Step-by-step explanation:

50 + 30 can be broken up into (10x5)+(10x3). You can simplify that into 10(5+3) because 10 x 5 =50 and 10x 3 = 30. :)

Answer:

10(5+3)

Step-by-step explanation:

If If you multiply 5 and 3 by 10 you'll get 50 + 30

PRE CALC QUESTION

For the​ following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.

The zeros are -​3,-​1, and 4. The leading coefficient is -5.

(type answer in standard form)

P(x)=

Answers

Answer:

-5[tex]x^{3}[/tex] + 65x + 60

Step-by-step explanation:

10. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 balls which end with the same digit

Answers

Answer:

21 drawings

Step-by-step explanation:

The number labelings are 0 - 49

The minimum set that could be the same number is the labeling 0, 10 , 20

It could also be 1, 11, 21 or even 2,12,22

In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20

That makes a total of 21 drawings

Following are the response to the given question:

Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from [tex]0\ to\ 49.[/tex]

We possess five balls which conclude with the number 0 [tex]\text{(ball \ 0, ball\ 10, ball\ 20, ball\ 30, and\ ball\ 40)}.[/tex] We possess five balls which conclude with the digit 1[tex]\bold{(ball\ 1, ball\ 11, ball\ 21, ball\ 31, ball\ 41)}.[/tex] .....I have five balls that end in the number 9 [tex]\text{(ball\ 9, ball\ 19, ball\ 29, ball\ 39, and ball\ 49)}.[/tex]

Each digit ending is represented by five balls.

In the pigeonhole principle, it [tex]kn+1[/tex] objects [tex](k \geq 1)[/tex] are distributed among n boxes, one of the boxes will contain at least [tex]k+1[/tex] objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.

Box 0: we place balls that end in the digit 0. Box 1: we place balls that end in the digit 1. .....Box 9 is where we put balls that end in the number 9.

According to the pigeon hole concept, you need to draw [tex]kn+1[/tex] balls to assure that at least one of the boxes includes [tex]k+1[/tex] objects. Because [tex]k+1 = 3,[/tex] we require three objects in at least one box (we need three balls ending with the same digit).

[tex]k + 1 = 3 \\\\k =2[/tex]

Therefore, we have to draw [tex]kn+1[/tex] balls, [tex]k = 2, n = 10[/tex], at least[tex]21\ balls[/tex] must be drawn to ensure that at least three of them have the same 1 digit.

Learn more:

brainly.com/question/10898731

ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?

Answers

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

What is Subtraction?

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

For more references on Subtraction, click;

https://brainly.com/question/2346316

#SPJ2

The Riley family has 3 children all born 1 year apart. Kate is the youngest, Bradley is the middle child, and Cameron is the oldest. Together, the children's ages total 36. How old is Kate?​

Answers

Step-by-step explanation:

12

Answer:

11

Step-by-step explanation:

11+12+13 =36

So  Kate would be 11. Bradley would be 12. And Cameron would be 13

someone help fast please

Answers

Answer:

c. supplementary angles

Step-by-step explanation:

Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79. Find the cost per pound if it is the same for both types of bird seed

Answers

Answer:

The answer is 1 to 3.5 I know that's the answer because I looked it up and that looks pretty easy

Answer:

$2.92 per pound

Step-by-step explanation:

$2.92 is per pound

Thompson down the street from his home to Cameron's house. Along the way, he stopped at a bake to pick up cupcakes. if he began at (10,-9), ended at (12,-7),and stopped at the bakery at (11,-8), what are the ratios to represent his trip? Select all that apply.

1/1
2/1
1/4
1/2​

Answers

Trip for 7)7 9/4 7 is 7
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