To factor the expression 3x2 – 9x, Caleb found the GCF as shown. List the factors: 3x2 = 3 • x • x 9x = 3 • 3 • x GCF = 3 • 3 • x • x = 9x2 What is Caleb’s error? Caleb factored 3x2 incorrectly. Caleb factored 9x incorrectly. Caleb found the product of all factors, not just the ones common to each term. Caleb did not make an error.

Answer:

A is the correct answer mate

Answer:

10 i guess

cause

8*3=24

3*10=30

Step-by-step explanation:

Since the scale factor of the large to small triangle is 3 : 1, the side lengths of the small triangle are 1/3 of the big triangle side lengths. (such as 8 compared to 24)

Therefore 3x = 30 and x = 10.

Answer: 1/12

Step-by-step explanation:

5/12 - 1/3

1/3 = 4/12

5/12 - 4/12 = 1/12

Step-by-step explanation:

The slopes of perpindicular lines must be negative reciprocals of each other -- while -4 and 4 are negative to each other, the negative recipricocal for -4 is 1/4 and -1/4 for 4.

The slopes of parallel lines must be the same, so these are not parallel.

Answer:

y=-3/4x+7/4

Step-by-step explanation:

Answer:

I got y = -3/4x + 7/4.

Might be wrong, but I'm pretty sure.

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABC = 90^\circ[/tex]

[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]

[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]

[tex]\angle ABD = 45^\circ[/tex]

Hence, option (c) is correct.

Answer:   13 An improper fraction is always 1 or greater than. A mixed number is a combination of a whole number and a proper fraction. In a proper fraction, the numerator is always less than the denominator.  

14 they are not equivalent.

Step-by-step explanation:

Answer: She makes 63 ornaments in 14 hours

Step-by-step explanation:

4 = 18

14 = x

Cross multiplication

4x = 18 x 14

4x = 252

x = 63

Answer:

She can make 63 ornaments in 4 hours

Step-by-step explanation:

she makes 4.5 in a hour so just times that by 14

Answer:

[tex]Ratio = 1.5 : 1[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 6 : 4[/tex]

Required

Express as [tex]n : 1[/tex]

[tex]Ratio = 6 : 4[/tex]

Divide ratio by 4

[tex]Ratio = 6/4 : 4/4[/tex]

[tex]Ratio = 6/4 : 1[/tex]

Express 6/4 as 1.5

[tex]Ratio = 1.5 : 1[/tex]

Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]

Answer:

-59

Step-by-step explanation:

3(3)+2(2)-6(12)

Answer: -59

Step-by-step explanation:

3a + 2b - 6c

a = 3  b = 2  c = 12

Substitute

3 (3) + 2 (2) - 6 (12)

9 + 4 - 72

13 - 72

-59

Answer:

B

Step-by-step explanation:

yea

Answer:

a) area

Step-by-step explanation:

well you just need to find the carpet area. carpet is just for the floor, so you don't need the perimeter, volume is for 3D figures, and surface area is for the outside of an object. carpet is a 2D figure, so the answer is a) area :)

hope this helps!

Answer:

we love fortnite we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

we love fortnite

Step-by-step explanation:

Answer:

1) 630 roses with 10 roses in each bouquet  = 63 bouquets

2) 640 roses with 12 roses in each bouquet  = 53 bouquets

3) 975 roses with 18 roses in each bouquet  =  54 bouquets

4) 1,250 roses with 24 roses in each bouquet = 52 bouquets

Step-by-step explanation:

We need to match each  description with the number of bouquets that can be made.

Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.

The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]

1) 630 roses with 10 roses in each bouquet

Total roses = 630

Number of roses in each bouquet = 10

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]

So, 63 bouquets can be made.

2) 640roses with 12 roses in each bouquet

Total roses = 640

Number of roses in each bouquet = 12

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]

So, 53 bouquets can be made.

3) 975 roses with 18 roses in each bouquet

Total roses = 975

Number of roses in each bouquet = 18

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]

So, 54 bouquets can be made.

4) 1,250 roses with 24 roses in each bouquet

Total roses = 1250

Number of roses in each bouquet = 24

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]

So, 52 bouquets can be made.

Answer: $31.50

Step-by-step explanation:I think; $22.50 x .40=9

$22.50+9=$31.50

Answer:

20

Step-by-step explanation:

5+0.65t=10+0.45t

0.25t=5

t=20

Answer:

f(3) = -14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + x + 1

f(3) is x = 3

Step 2: Evaluate

Answer:

20,000

Step-by-step explanation:

if you multiply those numbers you get 22,295 which rounds to 20,000

Estimate:

26k

Out of the answer choices you commented on another answer, that's the one I chose.

Answer:

Rock costs $3.20 per pound.

Step-by-step explanation:

Because sand costs three times as much as rocks per pound, you can determine the cost of rocks per pound by dividing the cost of sand per pound by three:

[tex]\frac{9.60}{3}[/tex] [tex]= 3.20[/tex]

Explanation: Just like any of your two-step equations,

in this inequality,  start by isolating the x term which in this

case is -3x by subtracting 5 from both sides.

That leaves you with -3x < -24.

To get x by itself, divide both sides by -3 but watch out.

When you multiply or divide both sides of an inequality by a

negative number, you must switch the direction of the inequality sign.

So we have x < 8 and put your final answer in

set notation and it look like this → {x: x < 8}.

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

Answer:

I would think that 2x+3y+4 would be the answer.

Step-by-step explanation: