The GCF of 30 and 45 is

3
8
1
2
15​

Answer:

3.) (x + 5) (x - 6)

Step-by-step explanation:

Factor the following:

x^2 - x - 30

Hint: | Factor x^2 - x - 30 by finding two numbers whose product is -30 and whose sum is -1.

The factors of -30 that sum to -1 are 5 and -6. So, x^2 - x - 30 = (x + 5) (x - 6):

Answer: (x + 5) (x - 6)

Answer:

22 fourth graders

Step-by-step explanation:

Set up an equation, with the total amount on one side and the amount per cone on the other. Let x represent the unknown number of students:

[tex]1.47x=32.34[/tex]

Now we need to solve for x. Do this by isolating it:

Undo the multiplication on the left side by dividing both sides by 1.47:[tex]\frac{1.47x}{1.47} =\frac{32.34}{1.47}[/tex]

The 1.47 on the left now cancels each other out. Simplify:

[tex]x=22[/tex]

x equals 22, so there are 22 fourth graders in the class.

:Done

Answer:

He needs to sell approximately 4331 books to break even

Step-by-step explanation:

Let the number of books to be produced be = y

Total cost of production ($)

= 55000+2.3(x)

Price of the book sold($)= 15

Total money from sales= 15(x)

For the publisher to break even, the cost must be equal to the total money from sales.

55000+2.3(x)= 15x

55000= 15x-2.3x

55000= 12.7x

55000/12.7= x

4330.71= x

He needs to sell approximately 4331 books to break even

Answer: luis is 28

Step-by-step explanation:

first you need to set up an equation. if luis age is equal to four years added to colleens age we can substitute colleens age with a variable (i’m gonna use the letter c) and luis’s age for a different variable (i’ll use L). your equation would be C + 4 = L. our second equation would be both of their ages is equal to 52, giving us C + L = 52 as our equation. since our other equation tells us that what L equals (it would equal C plus 4), we can substitute out the L in the second equation for C + 4. the equations would change from C+L= 52, to C + C + 4 = 52. then we would solve like any regular equation for our variable. first we can simplify the 2 c’s together to get

2c + 4 = 52. next you would take your + four and do the opposite sign to both sides of the equation. so you do + 4 minus 4 and then 52 minus four. this leaves you with the equation 2c = 48. lastly you do the opposite function to both sides with your coefficient. you would do 2c divides by 2 (to cancel out your two because it’s being multiplied by c). and then 48 divided by 2 leaving you with C = 24. that tells us that colleens age is 24, and then you plug this into your first equation to get 24 + 4 = L telling you that luis’s age is 28. to fact check you would just add the two ages together to see if you got your total

number. these are called like two step equations with substitution i believe

Answer:

8a+2

Step-by-step explanation:

[tex]6a + 8 + 2a – 6\\\\\mathrm{Group\:like\:terms}\\=6a+2a+8-6\\\\\mathrm{Add\:similar\:elements:}\:6a+2a=8a\\=8a+8-6\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\=8a+2[/tex]

Answer:

6a + 8 + 2a – 6

we calculate the unknowns of the same type alone (x with x, a with a, y with y ...) and the digits / numbers alone .

6a+2a=8a

8-6=+2

So 8a+2

Answer:

2

Step-by-step explanation:

Answer:

For the graph see attached image.

The y-intercept is 2

Step-by-step explanation:

The requested graph of the function is included in the attached image.

The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):

[tex]y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2[/tex]

Answer:

To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.

To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:

y = 2 • 3^0 = 2 • 1 = 2

Therefore, the y-intercept is 2, which corresponds to option (B).

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2[/tex]

The required expression is [tex]x^2-4x+4[/tex]

The given coordinates are (2,10) and (x,10)

The formula for finding the distance between two points is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now, substituting the given points into the above formula we get,

[tex]\sqrt{(x-2)^2+(10-10)^2}\\=(x-2)^2\\=x^2-4x+4[/tex]

Learn More:https://brainly.com/question/11495758

Answer:

157 degrees

Step-by-step explanation:

the two angles should add up to 180 degrees, so 180 - 23 = 157

answer

smallest 72 and the largest 108

Answer:

Step-by-step explanation:

(3-6)/(5-2) = -3/3= -1

y - 6 = -1(x - 2)

y - 6 = -x + 2

y = -x + 8

Answer:

The answer is

Step-by-step explanation:

In order to convert radians to degrees multiply the the value by

So for the value above we have

We have the final answer as

Hope this helps you

Answer:

d 9 years, 11 months

Step-by-step explanation:

Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.

P = $5,960.32

Rate = 4.2%

Number of years = x

Final amount=$9000

Number of times compounded= x/2

A= p(1+r/n)^(nt)

9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)

9000= 5960.32(1+0.084/x)^x²/2

2(9000/5960.32)=(1+0.084/x)^x²

3.019972=((x+0.084)/x)^x²

On trial an error

The value of x is found to be approximately 9 year, 11 months

Answer:

the answer is 12

Step-by-step explanation:

Simplify both sides of the equation.

12(b−10)+2b=25

(12)(b)+(12)(−10)+2b=25(Distribute)

12b+−5+2b=25

(12b+2b)+(−5)=25 (Combine Like Terms)

52b+−5=25

52b−5=25

add 5 to both sides.

52b−5+5=25+5

52b=30

multiply both sides by 2/5.

(25)*(52b)=(25)*(30)

b=12

Answer:

b=12

Step-by-step explanation:

1/2 (b - 10) + 2b = 25

Multiply each side by 2 to get rid of the fractions

2*1/2 (b - 10) +2* 2b = 25*2

b-10 +4b = 50

Combine like terms

5b -10 = 50

Add 10 to each side

5b -10+10 = 50+10

5b = 60

Divide by 5

5b/5 = 60/5

b = 12

Answer:

43.3

Step-by-step explanation:

Area = Base * Height

Area = 7 * 6.2

Area = 43.3

Answer:

12 hope you understand the answer

Answer:

A-3

Step-by-step explanation:

Since Alma is 3 years older than Liz then Liz would be A-3

Answer:

a. Coplanar

Step-by-step explanation:

To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line

Answer: A. Coplanar

Step-by-step explanation:

Answer:

x²-7x+2

Step-by-step explanation:

x²+2-7x in standard form is

x²-7x+2

Answer:

Step-by-step explanation:

The formula for the circumference is of a circle is: C = 2πr. ___________________________________________________________

Answer:

each peice will be 1/15 m long.

Step-by-step explanation:

Answer:

you got this

Step-by-step explanation:your smart try to figure it out by yourself

Answer:

you can make 8 vest

Step-by-step explanation:

2 of them are green and 3 are blue

Answer:

w = -6

Step-by-step explanation:

Adding 4 to both sides (we do this to get rid of the -4) gives us:

-4 + w + 4 = -10 + 4

w = -6

Answer:

[tex]\Huge \boxed{w=-6}[/tex]

Step-by-step explanation:

[tex]-4+w=-10[/tex]

To solve for [tex]w[/tex], we need to isolate the variable on one side of the equation.

Adding 4 to both sides.

[tex]-4+w+4=-10+4[/tex]

Simplifying the equation.

[tex]w=-6[/tex]

Answer:

D 6 units

Step-by-step explanation:

the answer is d since the height times the side is the area and 6 times 4 is 24

Answer:

A is yes, and B is no

Step-by-step explanation:

Yes is a key word of A which means it is infact 48 and B is in fact no or 18 because of the discrete maths of espanol you can deprecate george washingtons face. And yes yes, it is gerla no yes maybe

Pick any of the two sides and set them equal to one another. So we'll have three different equations

4(x-1) = x+8

or

x+8 = 2x+4

or

4(x-1) = 2x+4

This works because in any equilateral triangle, the three sides are the same length.

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

If you're curious about the value of x, then we could do the following steps.

x+8 = 2x+4

2x+4 = x+8

2x-x = 8-4

x = 4

If x = 4, then

Each side is 12 units long

Answer:

5-x=40+29 (x=69)

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

Given, x = 2 and y = 4

[tex] \sf{(2x + 3y) \div 4 - 2}[/tex]

plug the value of x and y

⇒[tex] \sf{ (2 \times 2 + 3 \times 4) \div 4 - 2}[/tex]

Multiply the numbers which are inside the bracket

⇒[tex] \sf{(4 + 12) \div 4 - 2}[/tex]

Add the numbers which are inside the bracket

⇒[tex] \sf{16 \div 4 - 2}[/tex]

Divide 16 by 4

⇒[tex] \sf{4 - 2}[/tex]

Subtract 2 from 4

⇒[tex] \sf{2}[/tex]

Hope I helped!

Best regards! :D

Answer:

2 (D)

Step-by-step explanation:

(2x+3y)÷4-2 you replace the variables with the matching numbers, and then multiply them by the number next to them.

(4+12)÷4-2 you add the numbers together

16÷4-2 you divide 16 by 4

4-2 you subtract to

2 this is your answer

Answer:

25

Step-by-step explanation:

Answer:

p=-3

Step-by-step explanation:

Answer:

-4/2=2p

Step-by-step explanation:

5p - 8/2 = 7p +4/2

-5p           -5p

        -8/2 = 2p + 4/2

        -4/2            -4/2

The rate of the slower hiker is 1.1 mph and the rate of the faster hiker is 6.6 mph

Explanation

One hiker walks 5.5 mph faster than the other.

Suppose, the speed of the slower hiker is (x) mph.

So, the speed of the faster hiker will be:

(x+5.5)mph

Both hikers are walking toward each other and meet in 10 hours.

We know that, Distance = speed * time

So, the distance walked by the slower hiker in 10 hours = 10x miles and the distance walked by the faster hiker in 10 hours = 10(x + 5.5) miles.

Given that, they were 77 miles apart in the beginning. So the equation will be ...

10x + 10(x + 5.5) = 77

10x + 10x + 55 = 77

20x = 77 - 55 = 22

x = 22/20 = 1.1

Thus, the rate of the slower hiker is 1.1 mph and the rate of the faster hiker is (1.1 + 5.5) mph = 6.6 mph

Answer:

50 seconds in order to assemble 20 pizza boxes

Step-by-step explanation:

there are two ways to solve this the first way is divide 20 by 2 which is 10 and then multiply 10 by 5 the reason to this is because we know that for every 2 it takes 5 seconds.

the second way takes longer but you write:

2, 2, 2, 2, 2, 2, 2, 2, 2, 2,

5, 5, 5, 5, 5, 5, 5, 5, 5, 5,

so here were basically writing the number 2 10 times because when u count that u can see that it equals 20 and then since for every 2 boxes it takes 5 seconds u put the 5 under each 2 so then you would count the 5s, like 5, 10 15, 20... and so on and u will see that its 50 which means 50 seconds.

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.

Therefore, set the equations equal to each other and solve for x;

[tex]6x+7=8x-17[/tex]

Add 17 to both sides:

[tex]6x+24=8x[/tex]

Subtract 6x from both sides:

[tex]24=2x[/tex]

Divide both sides by 2:

[tex]x=12[/tex]

Therefore, the value of x is 12.

And we're done!

Answer:

12

Step-by-step explanation: