Four students were asked to write an expression which has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.


Michelle
16 a + 3 b

Naomi
18 a b c minus 13 a b c

Olivia
20 a b minus 14 a b c

Peyton
15 a b c + 14 a b

Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton

Answers

Answer 1

Answer:

D.) Peyton

Step-by-step explanation:

If m is any integer, then gcd(a + m⋅b, b) = gcd(a, b). If m is a positive common divisor of a and b, then gcd(a/m, b/m) = gcd(a, b)/m. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then gcd(a1⋅a2, b) = gcd(a1, b)⋅gcd(a2, b). Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.

Answer 2

Answer:

peyton is correct because she is the only one with ab even in her awnser

Step-by-step explanation:


Related Questions

the differences between 60 and 11
the numerical expression is?

Answers

60-11 that’s the correct numerical expression

Plz help ASAP 20 points 10. What is the equation of a circle with radius, r = 4, and the center at (0,0)?
A.X² + y² = 4
B.22 + y2 = 16
C.2 - 4)+ (y – 4) = 4
B.(.2 - 4)? + (y – 4)2 = 16

Answers

Answer:

a

Step-by-step explanation:

the equation for a circle centered at orgin is x^2+y^2=r where r is the radius. multiplying, adding, or subtracting any numbers to the x and y components such as the other choices here causes the circle to be translated about the graph.

The answer that you are looking for is A. X2 + y2 = 4

HELP ME ILL GIVE BRAINLIEST
Which of the following factors can affect the strength of electric or magnetic fields? (YOU MAY SELECT MORE THAN ONE ANSWER)

Strength of the magnet/electric charge


The material that is creating the field

The mass of the object creating the field


The distance from the source of the field

Answers

Answer:

It's strength of the magnet/electric charge and the distance from the soucre of the field


x in 5xy = 10 to solve the system
below.
x = 25 - y
5x + y =10

Answers

Answer:

Step-by-step explanation:

there are two ways to solve systems of equations,  elimination or substitution, this looks like elimination would work quickly

x= 25 -y

x + y = 25   (eq 1)

5x + y = 10  (eq 2)

subtract 2 from 1

x + y = 25  

-(5x + y = 10)

-4x + 0y = 15

-4x = 15

x = - 15/4

now plug in x into either starting equations and solve for y

-15/4 + y = 25

y = 25 + 15/4

y = 100/4 + 15 /4

y = 115 /4

y = 28 3/4

we have solved it :)

Answer:

5x+ y = 10   ---(eq1)

x = 25 - y    ---(eq2)

substituting (eq2) in (eq1)

5(25 - y) + y = 10

125 - 5y + y = 10

125 - 4y = 10

-4y = 10 - 125

-4y = -115

4y = 115

y = 115/4 = 28.75

substituting value of y in (eq2)

x = 25 - 28.75

x = -3.75

Find the volume please help
(Multiple choice)

Answers

Answer:

A. 72 mi³C. 261.8 mi³

Step-by-step explanation:

Volume formula:

V = 1/3Bh, B- base area, h- height

Q1

V = 1/3*6²*6 = 72 mi³Correct choice is A

Q2

V = 1/3*(π*5²)*10 = 261.8 mi³ (rounded)Correct choice is C

Chef Ishaan is planning on opening a restaurant with a menu of 3 dishes: pesto chicken,kadai paneer, or bulgogi tacos. As a test run, he invites 7 friends to order a dish that he willmake and deliver to them. How many possible combinations of meals could Ishaan make

Answers

Answer:

Ishaan could make 7 possible combinations of meals.

Step-by-step explanation:

Number of subsets in a set of n elements:

The number of subsets in a set of n elements is given by: [tex]2^{n}[/tex]

In this question:

3 dishes.

[tex]2^{3} = 8[/tex]

only one, two of them, or all three of the dishes.

Considering the dishes, there are no empty set(there cannot be an order with no dishes), so 8 - 1 = 7

Ishaan could make 7 possible combinations of meals.

x/64 = 2 im being timed

Answers

Answer:

128

Step-by-step explanation:

x/64=2

x=64*2

x=128

Answer:

=128

Step-by-step explanation:

64=2

64⋅64=64⋅2

64⋅64=64⋅2

=64⋅2

=64⋅2

=128

hope it helps <3

Can someone help me? I’ll reward 10 points + brainalist

Answers

Answer I got:

I got approximately 0.34906585039 in².

Step-by-step explanation:

So we know that [tex]A=\pi r^{2}[/tex]. We also know that [tex]r=\frac{1}{3}(0.3333...)[/tex] in. So, we can place this into our equation:

[tex]A=\pi\times\frac{1}{3}^{2}(A=\pi\times0.33333...^{2})[/tex]

Finally, we know that [tex]\pi\approx\frac{22}{7}[/tex].

[tex]A\approx\frac{22}{7}\times\frac{1}{3}^{2} (A=3.1415926...\times 0.3333333...^{2})[/tex]

This gave my final approx. answer of 0.34906585039 in².

[tex]\pi\frac{1}{3}^{2}\approx 0.34906585039[/tex]

All you need to do now is find the corresponding fraction to that!

Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B headache remedies. Twelve people were randomly selected and given an oral dose of brand A and another 12 people were randomly selected and given an oral dose of brand B. The lengths of time in minutes for the drugs to reach a specified level in the blood were recorded. The mean and standard deviation for brand A was 21.8 and 8.7 minutes, respectively. The mean and standard deviation for brand B was 18.9 and 7.5 minutes, respectively. Past experience with the drug composition of the two remedies permits researchers to assume that both distributions are approximately Normal. Let us use a 5% level of significance to test the claim that there is no difference in the mean time required for bodily absorption.

Required:
Find or estimate the p — value of the sample test statistic.

Answers

Answer:

[tex]t = 0.875[/tex]

Step-by-step explanation:

Given

Brand A            Brand B

[tex]n_ 1= 12[/tex]               [tex]n_2 = 12[/tex]

[tex]\bar x_1 = 21.8[/tex]            [tex]\bar x_2 = 18.9[/tex]

[tex]\sigma_1 = 8.7[/tex]              [tex]\sigma_2 = 7.5[/tex]

Required

Determine the test statistic (t)

This is calculated as:

[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]

Calculate s using:

[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]

The equation becomes:

[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]

[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]

[tex]s = \sqrt{65.97}[/tex]

[tex]s = 8.12[/tex]

So:

[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]

[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]

[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]

[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]

[tex]t = \frac{2.9}{3.31296}}[/tex]

[tex]t = 0.875[/tex]

What is the difference between a sample and a​ population?

Answers

Answer:

A population is the entire group that you want to draw conclusions about. A sample is the specific group that you will collect data from. The size of the sample is always less than the total size of the population

a guy wire runs from the top of a tree Point 42.5 ft from its base if the angle of elevation from the ground on top of the tree is 35.3 degrees find the length x of The Wire ​

Answers

Answer:

[tex] \cos(35.3) = 0.8141 \\ \cos(35.3) = \frac{42.5}{x} \\ 0.8141 = \frac{42.5}{x } \\ x = \frac{42.5}{0.8141} = 52.20 \: ft[/tex]

If a(x) = -9 - 2x, what is an equation for a-'(x)?
O A. a-1
= -x - 7
O
B. a-'(x) = 2 - 9
d
C.
1
a
(2)
1
-9 - 2:3
о
D.
1
-
9
a
=
2

Answers

Answer:

The answer should be A..

What is quarter of 25???

And) What is 1/2 of 16 ?

Answers

Answer:

quarter of 25 => 25/4=6.25

1/2 of 16= 8

help me I'm really swamped​

Answers

{H,o,n,l,u}

Just take away all the duplicate letters and voila. funny that i did that question yesterday.

-4.5t + 11.75 = 20.75
WITH STEPS

Answers

The very first step is...

46°
Х
X=_
degrees
PKEASE HELP

Answers

Answer:

x = 136°

Step-by-step explanation:

the third angle of the triangle is 180 - (90+46), which is 44. Because a straight line is 180°, x is 180 - 44. x = 136°

Answer:

look according to the exterior angle of triangle

Step-by-step explanation:

exterior angle = sum of other two angle (except adjacent angle of that exterior angle)

so x=90°+46°=136°

a. A bag contains 6 blue marbles, 8 black marbles, and 9 yellow marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a b l u e marble and then a y e l l o w marble? 0.1021 Correct b. A bag contains 8 g r e e n marbles, 9 y e l l o w marbles, and 6 b l a c k marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a g r e e n marble and then a b l a c k marble?

Answers

6 blue marbles and seven four nine

Darla wants to buy a dress for $20 and some shirts for $12 each. She has $80. Write and solve an inequality to find the number of shirts she can buy.

Answers

Answer:

5 shirts for 12 is 60 dollars

20 dollar dress plus 60 is 80

Step-by-step explanation:

Please help me to come up with an equation for x.

Answers

Answer:

100=x+60

Step-by-step explanation:

Hey There!

So the angle that has a value of 100 is equal to angles x and the angle that is equal to 60

so an equation to solve for x could be

100=x+60

Help please!!!!!!!!!!

Answers

Answer:

6/8,

12/16,

24/32

48/64

96/128

192/256

384/512

Step-by-step explanation:

Line k is the perpendicular bisector of pq and point r which of the following statements must be true?

Answers

Answer:

question incomplete.

Step-by-step explanation:

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

59.3

Step-by-step explanation:

First find the area of the the right triangles

5 * 4 / 2 = 10

Multiply it by 2 since there are 2 right triangles that are the same

10 * 2= 20

Then find the area of a semi circle

The radius is 5

π5^2 / 2= 39.27

39.27 rounded to the nearest tenth is 39.3

Add them together

20 + 39.3 = 59.3

59.3 is your answer

Write 24:14:6 in its simplest form.​

Answers

Answer:

12 : 7 : 3

Step-by-step explanation:

24 : 14 : 6

12 : 7 : 3

Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.

24 ÷ 2 = 12

14 ÷ 2 = 7

6 ÷ 2 = 3

We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.

Hope this helps, thank you :) !!

Determine the vertex of the function f(x) = 3x2 – 6x + 13
Identify the values of a and b
Find the x-coordinate of the vertex.
Find the y-coordinate by evaluating the function at the x-value found in
the previous step.

Answers

Write properties of function: type of function: constant function; x-intercept/zero: no; y- intercept: y=13; slope: 0 Answer: type of function: constant function; x- intercept/zero: no y-intercept: y=13; slope: 0

A company made $785 in a ticket sale they sold 100 tickets how much did the company make per ticket if each ticket cost the same price

Answers

They made 7.85 per ticket

i borrowed R3 000 from the bank . the contract stipulates that i have to repay the bank R3 900 after 2 years . how much much interest must i pay the bank per year​

Answers

Answer:$450 per year

Step-by-step explanation: If you borrow 3000 dollars and after 2 years you have to pay 3,900 then after 2 years the intrest is 900 dollars, divide that by 2 for the two years and you get a yearly 450 dollars.

Will pay 450 per year

I GIVE BRAINLIEST AND EXTRA POINTS

Round to nearest 10th find value of X

Answers

Given hyp=17 and α=29°,
X = 8.24176
base = 14.86854

Answer:

x=134

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

29+17=46

180-46=134

You will know the answer is right if everything adds up to 180.

134+17+29=180

There are five boys and three girls in a swimming pool. If two people are selected at
random with replacement, find the probability that both are girls?

Answers

Answer:

its a 3/8 chance that there are girls

Step-by-step explanation:

Simplify this fraction: 9/33

Answers

Answer:

3/11

Step-by-step explanation:

Both numbers are easily simplified by 3 and that's as far as it can go because 11 is a prime number

9÷3=3

33÷3=11

3/11=9/33

Answer:

3/11

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 9 and 33 is 3

Divide both the numerator and denominator by the GCD

9 ÷ 3

33 ÷ 3

Reduced fraction: 3/11

9/33 simplified gives you your answer which is 3/11

150 students were surveyed to see what sport they play what percentage plays soccer

Answers

Not enough info.
You need to know how many played soccer.

If the number who played soccer is represented by S;

Then percentage = S/150 x 100
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