determine the common factors and HCF for each of the following terms

1) Зw, 5w
2)5bc ,2c², 3cd
3)4a² b, 8b² c ,6bcd

PLS HELP ​

Answers

Answer 1

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

Common factors and HCF of values

The HCF is the smallest value that can divide a set of values without leaving a remainder.

Given the following terms, we are to find their HCF's

1) For the term 3w, 5w, the HCF is "w" since it is common for both terms

2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"

3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.

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Related Questions

Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).


a) x+y=1

2x+y=5




b) x+2y = 4

x +y = 1



c) x-y=-5

x+y= 11


Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

B is a the answers for the question

please mark me as brainlest

Btw the answer needs to be a fraction.

Answers

Answer:

3/4

Step-by-step explanation:

Using the equation 4x-7=13 , choose all the steps that are used to solve the equation. ​

Answers

Answer:

see below

Step-by-step explanation:

4x-7=13

Add 7 to each side

4x-7+7 = 13+7

4x=20

Divide each side by 4

4x/4 = 20/4

x = 5

Answer:

x=5

Step-by-step explanation:

[tex]\hookrightarrow 4x-7=13 \\\\\hookrightarrow 4x=13+7\\\\\hookrightarrow 4x=20\\\\\hookrightarrow x=20/4\\\\\hookrightarrow x=5[/tex]

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that apply.

Answers

Answer:

71° and 71°.

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

We know that,

The sum of all angles of a triangle is 180°

So, According to the question :

[tex]{\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}[/tex]

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

Solve this system of equations.
3x + 4y = 36
y = -1/2x + 8
What is x?​

Answers

Answer: Between 1 and 3.

Step-by-step explanation:

You have to Think about y too, y can be anything, but let's say y is 1. Then x should be 3

x = 4, y = 6

In this case, you can solve the equation by substitution.

3x + 4y = 36

We are given that y = -1/2x + 8

Plug in that value assigned to y.

3x + 4(-1/2x + 8) = 36

3x -2x + 32 = 36

x + 32 = 36

x = 4

Now, we can return back to y

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6

Ramona went to a theme park during spring break she was there for 7 hours and rode 21 rides at what rate did I Ramona ride rides in rides per hour

Answers

Answer:

57393487

Step-by-step explanation:

un kilo por hora espero que te ayude

Answer:

3 rides/hour

Step-by-step explanation:

Not sure what ^^ guy was saying... And I don't understand why?

The correct answer is number of rides / hours.

21 / 7 = 3

Pls help I’ll give you 25 points

Answers

Answer:

For the 1st row:

6.38 - 6 19/50 - 638%

Step-by-step explanation:

I would suggest using MathPapa if you are trying to do it quick. MathPapa will only really help with finding fractions and percentages, though. To get the decimal, need to find percentages then move decimal to the left 2 times.

ex. 125% -> 1.25

I hope this helps! Have a blessed rest of your night!

The camp has two fire pits. One is a rectangular fire pit with a perimeter of 20 inches. The
other is a circular fire pit with a circumference of 7 inches. Shakir will place stones along
the outside edges of both fire pits. If each stone is the same size, which pit will require more
stones? Use the space below for your work. Explain how you know.
Please help!!

Answers

Over fort fort core cots puts stone below

The table shows the sales receipt for your purchase.

a) the items with a "t" next to the price are subject to sales tax. what percent sales tax did you pay?






b) calculate the price of the top.





c) the price you paid for the top was 60% of the original price. what was the original price of the top?

Answers

The sales receipt for the purchase includes the sales tax

The sales tax is 6%The price at the top is $7.50The original price at the top is $12.50

How to determine the percent of sales tax?

The sales tax is calculated as:

Percentage sales tax * (Sum of Items subjected to tax) =  Sales tax.

So, we have:

T * (3 + 0.5) =  0.21

Evaluate the sum

T * (3.5) =  0.21

Divide both sides by 3.5

T =  6%

Hence, the sales tax is 6%

The price at the top

The price (p) at the top is calculated using:

p = 13 - 3 - 2 - 0.5

Evaluate the difference

p = 7.5

Hence, the price at the top is $7.50

The original price at the top

60% of the original price (P) is p.

So, we have:

60% * P = p

Substitute 7.5 for p

60% * P = 7.5

Divide both sides by 60%

P = 12.5

Hence, the original price at the top is $12.50

Read more about sales tax and discounts at:

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-2x + 1 = 4x + 9
I don’t know what to solve for x?

Answers

Answer:

x = -1.33333333333

Step-by-step explanation:

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x+1-1=4x+9-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-2x=4x+8[/tex]

[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}[/tex]

[tex]-2x-4x=4x+8-4x[/tex]

[tex]\mathrm{Simplify}[/tex]

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

[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]

[tex]\frac{-6x}{-6}=\frac{8}{-6}[/tex]

[tex]x=-\frac{4}{3}[/tex]

[tex]x=-1.33333333333[/tex]

~Lenvy~

What is the slope of the line that passes through the points(-5,-9) and (-5,-13)? Write your answer in simplest form.

Answers

Answer:

slope is undefined

ex. a straight vertical line like x = 2 would have an undefined slope

Step-by-step explanation:

formula is

y2-y1 / x2-x1

-13 + 9 / -5 + 5

-4 / 0

slope is undefined

straight vertical line like x = 2 would have an undefined slope

undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.

cuemathcomgeometryundefinedslope

mathbootcampscom

the slope of a line passing through two points with the same x-coordinate, like (-5, -9) and (-5, -13), is undefined because the line is vertical and doesn't have a defined slope.

Slope (m) = (change in y) / (change in x)

In this case, you have two points: (-5, -9) and (-5, -13). The x-coordinates are the same (-5) for both points, which means there is no change in the x-coordinate. Therefore, the denominator in the slope formula becomes zero:

Slope (m) = (change in y) / (0)

When the denominator is zero, division is undefined in mathematics. This corresponds to a vertical line on a graph. A vertical line doesn't have a well-defined slope because it doesn't have a constant rate of change in the x-direction since the x-values don't change. Instead, the vertical line runs parallel to the y-axis.

So, the slope of a line passing through two points with the same x-coordinate, like (-5, -9) and (-5, -13), is undefined because the line is vertical and doesn't have a defined slope.

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At a jeans factory, a random quality check found 8 pairs defective and 292 pairs with no problems. how many defective pairs can be expected in the inventory of 3,000 pairs of jeans? 80 pairs 82 pairs 292 pairs 375 pairs

Answers

hello!

to solve this equation, you have to find the percentage of defects out of the total amount of jeans. if there are 300 pairs of jeans with 8 faulty pairs, then the percentage of defects would be 2.666(etc). 2.666(etc) percent of 3000 is roughly 80 pairs of defective jeans.

therefore your final answer would be 80 pairs of jeans!

2. You are building a fence around your vegetable garden in your backyard. If
the garden is 12'8" long and 4'6" wide, what is the total length of fencing you
will need?

Answers

The length of fencing required is 34.34 feet.

Data;

Length = 12 feet 8 inch long = (12 + 0.67) feet = 12.67 feetWidth = 4 feet 6 inch wide = (4+0.5)feet = 4.5 feet

Perimeter of the Garden

To find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.

[tex]P = 2(L + W)[/tex]

We can substitute the values in the formula of perimeter above and proceed to solve.

[tex]P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft[/tex]

The length of fencing required is 34.34 feet.

Learn more on perimeter of a rectangle here;

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Photo attached with instructions

Answers

Step-by-step explanation:

using cosine rule,

BC²= AC² + BC² - 2*AC*BC*COSc

= 13² + 6² - 2*13*6*-cos(180-91)

= 169 + 36 - (-2.72)

= 202.28

√BC² = √202.28

BC = 14.22

BC = 14.20cm to nearest tenth

Shelly rolls a dice 36 times. How many of those times should she expect it to land on a 1?

Answers

Answer:

it will land on "1" exactly 12 times

Best answer gets brainliest

Answers

Answer:

The answer is 30.

Step-by-step explanation:

12+12+6= 30

I got 6 because it shows a semi circle, and half of 12 is 6.

Answer:

30

Step-by-step explanation:

one circle = 12

two circle = 12 × 2 = 24

half circle = 12/2 = 6

so

two circle + half circle = 24 + 6 = 30


Each season a baseball pitcher records the number of strikeouts he throws. The sequence below
represents his strikeouts for the first five seasons in the league.
147, 154, 161, 168, 175 If this pattern continues, what explicit formula could be used to determine f(n), the number of
strikeouts he throws during his n th season?
a. f(n) = 147 + 7n
b. f) = 140 + 7)
c. f(n) = 147n + 7
d. f(n) = 140n + 7

Answers

Answer:

make the n in side and join together

Alex just started college and has taken a 10-year subsidized loan out for $5,500 with 6.5% deferred interest. He plans on graduating in 4 years. Determine the money payment alex will pay upon graduation.

Answers

Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.

How can the amount Alex will pay be found?

The number of years for the loan = 10-year

The loan amount = $5,500

The number of years for the interest = 6 years

The monthly payment formula is presented as follows;

[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]

Which gives;

[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]

The amount Alex will pay upon graduation is $81.67 each month

Learn more about monthly payment on loan formula;

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This is urgent I really I need the answers
Thanks in advance

Answers

equation: 2y = 3x + 15

If cross y-axis, the x will be 0

2y = 3(0) + 15

2y = 15

y = 7.5

crosses y-axis at (0, 7.5)

(b)

P(-1,10), Q(3,4)

(i) gradient:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{4-10}{3--1}[/tex]

[tex]\rightarrow \sf \dfrac{-6}{4}[/tex]

[tex]\rightarrow \sf -1.5[/tex]

(ii) midpoint:

[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (\dfrac{3-1}{2}, \dfrac{4+10}{2})[/tex]

[tex]\rightarrow \sf (x_m, y_m) = (1,7)[/tex]

The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =

Answers

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

What are perfect squares trinomials?

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]

Comparing this expression with the expression we're provided with:

[tex]x^2 + 10x + c[/tex]

we see that:

[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

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Identify the correct explanation for why the triangles are similar. Then find TO and US.

Answers

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

= 5

= 10

=  +  = 15

= x - 3

= x + 1

A two column proof is presented as follows;

Statement          Reason

∠L ≅ ∠L             By Reflexive property of congruency

║           Given

∠LOP ≅ ∠LMN   By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN   By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

/  = / = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

= (x - 3) = 5 - 3 = 2

= 2

= x + 1 = 5 + 1 = 6

=  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©

Samantha invested $67,000 in an account paying an
interest rate of 3.9% compounded continuously.
Assuming no deposits or withdrawals are made, how
much money, would be in the account after 7 years?

Answers

Answer:

A = $13,116.03

Step-by-step explanation:

the equation used for compound is  A = Pe^rt, where p= principle, r=rate(interest) e=2.71828, and t=time. first convert the rate into a decimal, then plug in the numbers into the equation.

A = 10,000.00(2.71828)^(0.03875)(7)

Quick!!! Solve for the missing lengths using trigonometric ratios.
*
110m
42°
Х

Answers

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle to find x

tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )

x × tan42° = 10 ( divide both sides by tan42° )

x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )

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

using the sine ratio to find the hypotenuse h

sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )

h × sin42° = 10 ( divide both sides by sin42° )

h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )

in the figure line segment AB is tangent to the circle at point A. find the length of line segment AB 8 in. And 10 in.

Answers

Answer:

the answer is just ab

Step-by-step explanation:

dats what it is added up

The length of line segment AB is 12 inches for the given figure.

What is a secant?

A secant is a straight line that touches a circle twice.

As per the given figure, we have

Secant segment  BD = (8+10) in.

External secant segment BC = 8 in.

Tangent segment = AB

When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.

So, AB² = BC × BD

Substitute the values in the above equation,

AB² = 8 × (8+10)

AB² = 8 × 18

AB² = 144

AB = 12

Thus, the length of line segment AB is 12 inches.

Learn more about secants theorems here :

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The complete question has been attached below.

Use your calculator to find sin-1(0.48) to the nearest degree

Answers

Using your calculator the inverse sine of 0.48(sin⁻¹ 0.48) to the nearest degrees is 29 degrees.

How to use calculator to find inverse sine of a number

According to the question, we are to use calculator to find the inverse sine of 0.48. This can be represented mathematically as follows:

sin⁻¹ 0.48

The exponential -1 tells us that it is an inverse sine.

The picture below gives are more pictorial way to use calculator to find inverse sine of 0.48.

Always check if your calculator is set in degree and not radian.

Therefore,

sin⁻¹ 0.48 = 28.6854020141

To the nearest degrees,

sin⁻¹ 0.48 = 29°

learn more on inverse sin here: https://brainly.com/question/11585339

Solve the equation for x:

3x+5=20

Answers

Answer:

x = 5

Step-by-step explanation:

3x+5=20

Subtract 5 from both sides.

3x=20−5

Subtract 5 from 20 to get 15.

3x=15

Divide both sides by 3.

x= 15/3

​Divide 15 by 3 to get 5.

x=5

PLSSSSSS HELP ME WITH THISS!!!

Answers

The answer is C ! The total would be $59

Answer:

Her total would be $59 so, we would be a dollar extra.

The answer is Yes, the total will be $59.

Step-by-step explanation:

$58 - $18.50 = You need to earn $39.5.

Garden = $6.50 per hour

Cakes = $5.25 per hour

$6.50 X 3 hours = $19.50

$5.25 X 4 hours = $21

$21 + $19.50 = $40.50 totall

$18.50 + $40.50 = $59

can you please help?

Answers

Answer:

$103.75

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)

8.30 hours x $12.50 per hour: $103.75

State whether each equation is in standard form.
A.) 3x + y = 8
B.) x - y = 15z
C.) x(to the second power) + y = 11
D.) 3xy + y(to the second power) = 4
E.) x + 4y = 12
F.) 5x + 24y = 544
Please help, I'll give Brainliest!

Answers

Answer:

Step-by-step explanation:

Standard form: Ax + By = C

State whether each equation is in standard form.

A.) 3x + y = 8 (in standard form)

B.) x - y = 15z (not in standard form, because it has a variable(15z))

C.) x^2 + y = 11 (not in standard form, this is not a linear equation)

D.) 3xy + y^2 = 4 (not in standard form, this is not a linear equation)

E.) x + 4y = 12 (in standard form)

F.) 5x + 24y = 544 (in standard form)

Hope this helps!

A cell phone company charges $112.75 per month plus $0.25 per data usage over 1000 texts messages. how many messages can you send in one month for a budget of $325?

Answers

Answer:

8,490 messages

Step-by-step

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