nd Practice
3. Divisors and multiples of a number
Consider 28=7x4.
a) What does 4 represent with respect to 28?
b) What does 7 represent with respect to 28?
c) What does 28 represent with respect to
each of the numbers 7 and 4?

Answers

Answer 1

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. [tex] \frac {28}{4} = 7[/tex]

2. [tex] \frac {28}{7} = 4[/tex]

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.


Related Questions

What is an equation of the line that passes through the point (-1, 4) and is perpendicular to the line x - 6 y equals 12

Answers

Answer:

y = -6x - 2.

Step-by-step explanation:

x - 6y = 12

Gradient = 1/6

since the line is perpendicular to x - 6y = 12

its gradient will be -6.

hence its equation will also be:

y - 4 = -6(x - (-1))

y - 4 = -6x -6

y = -6x -2

15. Joey indicated that the Bayugan City can be found at coordinates (-1 1/2,0). Do you agree with Joey? Why or why not?

Answers

Answer:

The answer is "False".

Step-by-step explanation:

In this question, I disagree with Joey since the town of Bayugan has been at co-ordinates (0,[tex]-1\frac{1}{2}[/tex]) which would be contradictory to Joey.

Solve by factorization

8+7x-x^2=0

Answers

Answer:

x = - 1, x = 8

Step-by-step explanation:

Given

8 + 7x - x² = 0 ( multiply through by - 1 and arrange into standard form )

x² - 7x - 8 = 0 ← in standard form

(x - 8)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 8 = 0 ⇒ x = 8

Is the equation below true or false?
24 = 2 • 4

Answers

Answer:

false

Step-by-step explanation:

2 · 4 = 8

Answer:

False

Step-by-step explanation:

24 is not equal to 8 therefore it is not true

Sandy buys school supplies at Office Depot and spends $27.97 . How much will she spend if she uses a 10% off coupon

Answers

Answer:

$25.17

Step-by-step explanation:

10 percent of 27.97 is 2.80 so the answer is 25.17

correct if wrong pls

k2=144. What is the square root

Answers

The square root of 144 is 12

12X12=144

PLEASE HELP MEH NOW!! I WILL MARK BRAINLIEST 1/8 divided by 5

Answers

Answer:

1/40 or .025

Step-by-step explanation:

Just flip the 5 then multiply instead of dividing.

[tex]\frac{1}{8}*\frac{1}{5}[/tex]

You turn 5 into 1/5 by flipping it.

When you multiply them you get.

[tex]\frac{1}{40}[/tex]

or

.025

Hope this helps! Have a blessed day!

If you understand similar figures you will get this because I don't

Answers

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

How long can you hold your breath? A statistical question or nonstatistical question

Answers

Answer:

nonstatistical

Step-by-step explanation:

Have a great day and hope this helps

Answer:

statistical

Step-by-step explanation:

i did it

The table above shows the number of hours that Robin worked each week for 5 weeks. What would be the number of hours Robin worked in days?​

Answers

Robin would have worked a total of 10 days!!! Hope this helps :) :) :)

Amy has 72 sweet keeps 1/4 for herself and shares the rest with a friend how many sweet will she give her friend

Answers

Answer:

54

Step-by-step explanation:

1/4 of 72 is 18

72-18=54

Answer:

She would give her friend 54 sweets. I hope this is right, sorry if it's not.

Step-by-step explanation:

1/4 = 0.25

72*0.25 = 18

72 - 18 = 54

Which relation is a function?(click all that apply)

Answers

Answer:

Step-by-step explanation:

y=2x+1

y=x^2

The other one isn't a function because it won't pass the vertical line test. You can not use the same X in a function.

If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?

Answers

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

5x-9y=17 solve for y

Answers

Answer: y=17-5x/-9

Step-by-step explanation: 5x-9y=17

-9y=17-5x

Y=17-5x/-9

You can’t go any further than that because you can’t combine unlike Terms on the right side of the equation.

Please help!!!!!!!!​

Answers

[tex]d. \: \frac{hi}{eg} = \frac{ij}{jk} [/tex]

dont forget to follow me

Consider the formula for the average velocity, v, of a moving particle. In the formula, d1 and d2 represent the distance traveled by the particle at times t1 and t2 respectively.

Answers

Take a better question d13 is the answer

What is an equation of the line that passes through the points (6,8) and (-3,2)

Answers

Answer:

y = 2/3x + 4

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (2-8)/(-3-6) = 2/3

sub (6, 8):

8 = 2/3(6) + c

c = 4

the equation if the line is y = 2/3x + 4

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

9 is 25% of what number?

9 is 10% of what number?

9 is 75% of what number?

9 is 150% of what number?

Answers

Answer:

1. 36

2. 90

3. 9

4. 6

Step-by-step explanation:

PLEASE HELP! I will give brainliest

Answers

3 Answers:

A) y intercept is (0,3)

C) Axis of symmetry is x = -1

D) Vertex is (-1, 4)

So basically everything but choice B is true.

========================================

Explanation:

Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.

-------------------

To check choices B through D, let's convert the equation into vertex form.

y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where

a = -1

b = -2

c = 3

The vertex is located at (h,k) such that h = -b/(2a)

Plug the values of 'a' and 'b' into the equation below

h = -b/(2a)

h = -(-2)/(2*(-1))

h = 2/(-2)

h = -1

The x coordinate of the vertex is x = -1

Then use this to find the y coordinate of the vertex

y = -1x^2 - 2x + 3

y = -1(-1)^2 - 2(-1) + 3

y = 4

The y coordinate of the vertex is 4, meaning k = 4

The vertex overall is (h,k) = (-1, 4)

This shows choice D is true, meaning choice B has to be false.

Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.

Solve this system of equations, then determine what y equals.

x + 5y= 7

2x + 4y = -4

Answers

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can help so I can come back and check it later

Answers

Answer:

£2.38

Step-by-step explanation:

2.5 cost £1.40

4.25 cost £ x

so x=(4.25*1.40)/2.5=5.95/2.5=£2.38

2.(X+3) > 5. (3x + 1)

Answers

Answer:

3x+1 > 7

Step-by-step explanation:

x+3 > 5

x > 5-3

x > 2

3(x)+1

= 3(>2)+1

= 3x+1 > 7

Hope this helped!

INTERMEDIATE LEVEL
7. Devi folded a sheet of paper into an envelope, as
shown in the figure. In the figure, ZAED = ZADB
= ZBCD = 90°. To seal the envelope, she has to
apply glue along AD and DB. Given that AE = ED
= 8 cm and DC = BC = 14 cm, find the total length
of the sides along which the glue has to be applied
to seal the envelope.
B
A
14 cm
8 cm +
E
D
С

Answers

Theres supposed to be a picture i think.

please 20 POINTS!!!!!!!!!!!!!!!!!
A is located at (-4,0) on the coordinate plane and C is located at (2, 10). Angle CBD measures 100 degrees. Which of the following could be the coordinates of E and G so that angle HFE also measures 100 degrees?

Answers

Answer: e(-2,-2) and G(4,6)

Step-by-step explanation:

Quadrilateral BCDE is a rhombus. What is DE?
D
с
9z
E
2+72
B

Answers

Answer:

DE = 81

Step-by-step explanation:

The sides of a rhombus are congruent , thus

9z = z + 72 ( subtract z from both sides )

8z = 72 ( divide both sides by 8 )

z = 9

Then

BC = 9z = 9 × 9 = 81

Since the sides are congruent, then DE = 81

Is this function in Slope-Intercept Form, Point Slope Form, or Standard Form?
y+4=-2(x-2)
A. Slope-Intercept Form
B. Point Slope Form
C. Standard Form

Answers

It’s gonna be standard form

Answer:

this is point slope form

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

slope intercept is y=mx+b

standard form is Ax+By=c

yea im very slow so i need the answer pleaseeee!!

Answers

Answer:

I am thinking that the answer is B.

Step-by-step explanation:

3w - 17 = 4?

Pls help me

Answers

[tex]\text {Hey! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Add 17}}[/tex]

[tex]\text {3w-17+17=4+17}[/tex]

[tex]\text {3w=21}[/tex]

[tex]\text {\underline {The Final Step is to Divide 3}}[/tex]

[tex]\text {3w/3=21/3}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\Huge\boxed {w=7}[/tex]

[tex]\text {Best of Luck!}[/tex]

Answer:

[tex]\boxed{\sf{w=7}}[/tex]

Step-by-step explanation:

To find the value of w, isolate it on one side of the equation.

3w-17=4

Add by 17 from both sides.

3w-17+17=4+17

Solve.

Add the numbers goes from left to right.

4+17=21

3w=21

Divide by 3 from both sides.

3w/3=21/3

Solve.

Divide the numbers from left to right.

21/3=7

w=7

Therefore, the solution is w=7.

I hope this helps! Let me know if you have any questions.

The height of the Statue of Liberty is 305 feet. Nicole, who is standing next to the statue, casts a 6-foot shadow. She is 5 feet tall. How long should the shadow of the statue be?

Answers

Answer:

Create a proportion.

[tex]\frac{5}{6} = \frac{305}{x}\\[/tex]

This proportion is saying,

"If 5 corresponds to 6, then 305 corresponds to what?"

Cross multiply.

5x = 305(6)

5x = 1830

x = 1830 / 5

x = 366

So, the shadow of the statue should be 366 feet.

apply appropriate methods in solving rationalequations and inequalities.​

Answers

To solve an equation involving rational functions, we cross multiply the numerators and denominators. Then we move all our terms to one side. Then we use our algebra skills to solve. To solve an inequality involving rational functions, we set our numerator and denominator to 0 and solve them separately
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