1. Simplify the following by combining like terms (5 points).
4x-10+14+7x-10x+2

Answer: 7800x

Step-by-step explanation:

Hope this helps!

Answer:

7 hours.

Step-by-step explanation:

To solve this problem, you have to make an equation. The equation is 45=5x+10. We have to solve for x. So you put like terms on one side, which gives you 35=5x. We divide by five on each side which gives us x=7.

Answer:

The coordinate of the point Z is (4, 5)

Step-by-step explanation:

The given information are;

The coordinates of the endpoints of the directed segment QR are Q(2, 1) and R(8, 13)

The ratio of the partition of the directed line segment QR from Q to R = 1:2

The location of the point at the directed line segment is partitioned = Point Z

Therefore, we have;

The proportion of the partition segment QZ to QR is given as follows;

QZ = 1/(1 + 2) × QR  = 1/3·QR

ZR = 2/(1 + 2) × QR  = 2/3·QR

Which gives the coordinate of the point Z as follows;

The coordinate of the point Z = (2 + (8 - 2)×1/3, 1 + (13 - 1)×1/3)

The coordinate of the point Z = (2 + 2, 1 + 4) = (4, 5)

The coordinate of the point Z = (4, 5).

Answer:

C is incorrect.  "Angle BOC is a right angle"

Step-by-step explanation:

Because it's an acute angle.

Answer:

There's no image or anything

Answer:

Power settings.

Step-by-step explanation:

In Mathematics, a random variable can be defined as any variable whose values are determined by the outcome of a random experiment.

Basically, random variables are classified into two (2) main categories and these are; continuous and discrete random variable.

A discrete random variable is a data set in which the number of possible values are either finite or countable. For example, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

In this scenario, an appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color.

Hence, the variable which is a discrete quantitative variable is the number of power settings because its values are countable or finite, usually it ranges from 100 to 800.

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 45 on the right side like this:

   6 ⟌ 4 5  

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   6 ⟌ 4 5  

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

       0    

   6 ⟌ 4 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   6 ⟌ 4 5  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

      4 2  

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

     - 4 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 45 divided by 6 calculated using Long Division is:

7

3 Remainder

Answer:

Step-by-step explanation:

x       - a certain number

6x  -  - six times the number

6x-31    - six times the number less 31

3x        - three times the number

3x-10    -  10 subtracted from  three times the number

so the equation:

6x - 31 = 3x - 10

    +31       +31

 6x  =  3x + 21

 -3x     - 3x

3x  = 21  

 ÷3     ÷3

 x = 7

Check:  6•7-31=42-31=11;   3•7-10=21-10=11  

Given:

Amount in Aleka and Helene accounts represented by the following function:

Aleka: [tex]f(x) = 2500(1.025)^x[/tex]

Helene: [tex]g(x) = 1500(1.025)^x + 200x[/tex]

To find:

The function represents the difference, [tex]h(x) = f(x) -g(x)[/tex], between the value of Aleka's and Helene's total savings after x years.

Solution:

We have,

[tex]f(x) = 2500(1.025)^x[/tex]

[tex]g(x) = 1500(1.025)^x + 200x[/tex]

Now,

[tex]h(x) = f(x)-g(x)[/tex]

[tex]h(x) = 2500(1.025)^x-[1500(1.025)^x + 200x][/tex]

[tex]h(x) = 2500(1.025)^x-1500(1.025)^x - 200x[/tex]

[tex]h(x) = 1000(1.025)^x - 200x[/tex]

Therefore, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

4^2=16

16*3.14=50.24

Answer its 25.12

Step-by-step explanation:

Answer:

he can only buy 3 boxes of candy. then he will be left over with 32.03

Step-by-step explanation:

Answer:

Carlos can buy three boxes of candy, buy his mom her present, and have two dollars and three cents left.

Step-by-step explanation:

50-30=20

20-5.99=14.01

14.01-5.99=8.02

8.02-5.99=2.03

Hope this helps!!

Answer:

14.3 - Not entirely sure?

Step-by-step explanation:

So you first divide 260 by 3 (the riders), and if they used a total of 18 horses together you then divide them by 3 as well. You get the answer from 260 and 3 (which would be 86) also the answer from 18 and 3 (which would be 6) and divide them together (I know, lots of dividing) and there's your answer! 14.3

The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.

To translate a point (x, y) by (a, b), the new coordinates become

(x + a, y + b).

The coordinates of A' would be:

A' = (-3 + 2, 1 - 3) = (-1, -2)

The coordinates of B' would be:

B' = (2 + 2, -4 - 3) = (4, -7)

The coordinates of C' would be:

C' = (1 + 2, 5 - 3) = (3, 2)

2. Reflection over y = x:

Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.

To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).

The coordinates of A'' would be:

A'' = (-2, -1)

The coordinates of B'' would be:

B'' = (-7, 4)

The coordinates of C'' would be:

C'' = (2, 3)

Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

Learn more about Translation here:

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a) yellow jellybeans = 2g beans

b) red jellybeans = g-5 beans

c) black jellybeans = g+4 beans

hope this helps!!

Step-by-step explanation:

members of "M" = 2,3,5,7,11

members of "N" = 1,2,3,4,6,12

M∪N = 1,2,3,4,5,6,7,11,12

M∩N = 2,3

intersection is the overlapping numbers in the sets

union is the set with all the numbers but they cannot be duplicates

The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]

The members of "N" [tex]= 1,2,3,4,6,12[/tex]

M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]

M∩N [tex]= 2,3[/tex]

What is Prime number ?

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

According to questions, M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]}

and N = { factors of [tex]12[/tex]}.

We have to find the members of M, the members of N, M∪N and M∩N.

M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]} [tex]=[/tex][tex]2,3,5,7,11[/tex]

N = { factors of [tex]12[/tex]} [tex]= 1,2,3,4,6,12[/tex]

 So, M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]

and M∩N [tex]= 2,3[/tex]

Hence, we can conclude that

The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]

The members of "N" [tex]= 1,2,3,4,6,12[/tex]

M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]

M∩N [tex]= 2,3[/tex]

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Answer:

can you put the photo in please I don't see it ;-;

Step-by-step explanation:

Answer:

383ft

Step-by-step explanation:

Given parameters:

  Elevation = 240ft at the start

  Elevation at the end = -143ft

Unknown:

Change in elevation:

Solution:

The change in elevation is the difference between the two hiking milestone;

  change in elevation = Elevation at the start  - Elevation at the end

                                    = 240ft  - (-)143ft

                                   = 240 + 143

                                    = 383ft

Answer:

24 miles

Step-by-step explanation:

scale: 1-4

distance: 6 feet

6x4=24

HOPE THIS HELPS!!!!

Answer:

24

Step-by-step explanation:

Answer:

A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).

Step-by-step explanation:

Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)

t = time(time in respect to years ; how long it is compounded).

For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$

For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$

C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)

Answer:

2x + 3y = 14

100% sure final answer

Answer:

8

Step-by-step explanation:

9       /3    3      

--             --

24    /3   8

Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Vote brainiest

Answer:

y=2x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(3,1) and (6,7).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=1.

Also, let's call the second point you gave, (6,7), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=7.

Now, just plug the numbers into the formula for m above, like this:

m=

7 - 1

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(3,1). When x of the line is 3, y of the line must be 1.

(6,7). When x of the line is 6, y of the line must be 7.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (3,1) and (6,7).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(3,1). y=mx+b or 1=2 × 3+b, or solving for b: b=1-(2)(3). b=-5.

(6,7). y=mx+b or 7=2 × 6+b, or solving for b: b=7-(2)(6). b=-5.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(3,1) and (6,7)

is

y=2x-5

Answer:

to big of a blur to see

Step-by-step explanation: