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

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

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

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]

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:

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

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

Answers

Answer:

Step-by-step explanation:

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.

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)

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

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.

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

please help me with this i will mark you brainliest ​

Answers

Answer:

(-3,7)

Step-by-step explanation:

Hope it helps

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.

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

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:

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.

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

*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

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:

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:

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

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]

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:

Two angles of a triangle measures 55 degrees and 20 degrees

Answers

Answer:

105

Step-by-step explanation:

55 + 20 + x = 180

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

Answers

Answer:

3x + 9y = 23

Step-by-step explanation:

I need help with this

Answers

Answer: B. 8 x 10^3

Step-by-step explanation:

b. 8 x 10³

hope this helps

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

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

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

Other Questions
please answer 60 points worth What does the phrase "grew thick and dense like riverweed" suggest about the port town? Answer choices for the above question The town population is increasing. The town is foggy and difficult to see. The riverweed has spread to the town. The townspeople have built many new buildings. Web developers work part time true or false What makes soil smell musty?O A.clayOB. decayed plant matterO C. inadequate nutrientsOD. lack of moisture what does the 9th amendment limit? The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads? Which indefinite article would be used for the following word? polloGroup of answer choicesunounosunaunFlag this QuestionQuestion 21 ptsWhich of the following would be used for saying He likes?Group of answer choicesgustarle gustate gustame gustaFlag this QuestionQuestion 31 ptsWhich of the following is used for playing instruments?Group of answer choicestocarbailarjugarmontarFlag this QuestionQuestion 41 ptsWhich of the following means and?Group of answer choicesyoperosFlag this QuestionQuestion 51 ptsWhich definite article would be used for the following word? pizzaGroup of answer choiceslasloslaelFlag this QuestionQuestion 61 ptsWhich of the following would be used to say the desk?Group of answer choiceselunalaunFlag this QuestionQuestion 71 ptsWhich of the following is used to say some? Group of answer choiceslosunaunounosFlag this QuestionQuestion 81 ptsWhich would be true for conjugation?Group of answer choicesThey are the root form of the verbThey typically end in -arThey match with the subject of the verbThere are normally two forms for each verbFlag this QuestionQuestion 91 ptsWhich of the following verbs would be conjugated?Group of answer choicesandarholabailobailarFlag this QuestionQuestion 101 ptsWhich of the following would be used in response to the following question? Te gusta montar en bicicleta?Group of answer choiceste gustame gustamontogustarFlag this QuestionQuestion 111 ptsWhich of the following would be a cognate?Group of answer choicesbailarholaactornadasFlag this QuestionQuestion 121 ptsWhich of the following would be an infinitive?Group of answer choicescafnadarproductonado Find the slope on the graph? What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4 Use illustrate in a sentence Jacques designs and produces blankets. The selling price for each blanket is $25. Jacques spends $7.50 on the wool and thread to produce each blanket. For each blanket that Jacques produces, he pays himself $10.What is the added value for Jacques blankets?please help Describe an incident that you can never forget!-You should write between 150-200 words!-Your essay should include three distinctive parts an introduction, two three body paragrap and a conclusion - Your essay should have a thesis statement and each paragraph should include a topic sentence Please need help in the examines 1. Inferring This activity incorporates information from Chapters 12and 13. How are these two chapters related? Which shows associative property?3(ab) = (3a)b(3 + a) + b = 3 + (a + b) Drag the operator to the correct location on the image. Which operation results in a trinomial? Directions: Copy sentences in the active and passive voice from the textbelow and write them in the corresponding column in the table providedbelow)SUSPICIOUS BOXLast Friday, it was around 12:30 in the afternoon when a suspicious box was found byMiss Mendez on her table. The suspicious box wasn't opened by the teacher at that momentbecause she was afraid to see what's inside and who gave it because it doesn't even have ashort note. The box was wrapped in a red silk paper, a little bit heavy, having a yellow ribbonand tied properly.The box was taken to the faculty room by Miss Mendez and showed it to her co-teachers. When they're about to open the box, loud and big voices were heard outside thefaculty room and greeted her... "Happy Birthday Miss Mendez!" When she took a lookaround, it was her students in the 7th grade. They brought balloons, flowers and cake for herbirthday. In great surprise, she gladly embraced them. She cried tears of joy when they sanghappy birthday. When she opened her gift, she saw her photo turned into a sketch and kept ina shimmering frame. A series of messages too were written by her thoughtful students.Meanwhile as she randomly reads the messages, one of her bright students in class, Pio,the guitarist, started to play his instrument while the rest of his classmates started to sing asong. Not just a song but it was their teacher's favorite song entitled "A Smile in YourHeart. It is a song sung by his favorite singer of all time. Absolutely, having those ideas andplans tickled the bones of their adviser for it all worked out.As they finished the song, Miss Mendez blew her cake, made a wish, and thankedeveryone for the surprise they had prepared. In the end, a meaningful message was deliveredby her for her wonderful birthday surprise. According to Miss Mendez, it was her mostremarkable birthday celebration with unforgettable people.We hope you understand the passage. Now it's your turn to do the task. Good luck!Active Voice:________,________,________,________Passive Voice:________,____ ____,____________ What is -2(x - 5)- 11 in simplest form? Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles? Consider a sequence given by the formula a n = a n -1 5, where a1 = 12 and n 2.Create an explicit formula of the sequence. Use the explicit formula to find of thesequence. Give your answer in the answer space.a100 what is it called when energy is required to move materials through a cell membrane ?