How does collecting like terms in an expression differ from collecting like terms in
an equation/inequality? Explain.

Answer:

Apple Pie cost $8

Lemon Meringue Pie = $15

Step-by-step explanation:

Creating some variables:

A = apple pie

L = lemon meringue pie

We have two equations:

11A + 1L = 103

11A + 12L=268

You can use elimination or the substitution method to solve. I will be using substitution method.

Solve the first equation for L:

11A + 1L = 103

subtract 11A to both sides

L = 103 - 11A

Plug this into the second equation

[tex]11A + 12(103-11A) =268[/tex]

distribute the 12

[tex]11A + 1236 - 132A = 268[/tex]

combine the A and subtract the 1236

[tex]-121A = -968[/tex]

Divide -968 by -121

A = 8

Next plug this 8 back into one of the two original equations above:

[tex]11(8) + 1L =103[/tex]

[tex]88+L=103[/tex]

subtract 103 by 88

L = 15

Answer:

[tex]A=8[/tex], [tex]L=15[/tex]

Step-by-step explanation:

For the sake of time Apple pies will be represented by [tex]A[/tex] and Lemon will be represented by [tex]L[/tex]

Based on the information given it is clear that:

[tex]11A+1L=103[/tex]

[tex]11A+12L= 268[/tex]

We can rearrange the first equation to solve for [tex]A[/tex], in terms of [tex]L[/tex]

[tex]11A+1L=103[/tex]

subtract [tex]1L[/tex] form both sides

[tex]11A=103-L[/tex]

Now let's input this into the second equation to solve for [tex]L[/tex]

[tex](103-L)+12L=268[/tex]

combine like terms

[tex]11L+103=268[/tex]

subtract [tex]103[/tex] from both sides

[tex]11L=165[/tex]

divide both sides by [tex]11[/tex]

[tex]L=15[/tex]

Now input  this value into the first equation for [tex]L[/tex]

[tex]11A+15=103[/tex]

subtract [tex]15[/tex] from both sides

[tex]11A=88[/tex]

divide both sides by [tex]11[/tex]

[tex]A=8[/tex]

plz mark me brainliest. :)

Answer:

1st one: 2244

2nd one: x= -17/158

3rd one: 2652x

Step-by-step explanation:

hope this helps btw (s y m b o l a b) is a free math calculator that gives step-by-step answers i hope this helps :) have a nice day !!

Answer:

Cost of hiring a car = £63,815

Step-by-step explanation:

Cost of hiring a car = 150 + 85p

When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.

Number of miles Reuben travelled = 28,361 miles - 27,612 miles

= 749 miles

Cost of hiring a car = 150 + 85p

= 150 + 85(749)

= 150 + 63,665

= 63,815

Cost of hiring a car = £63,815

Answer:

the area below the line is shaded

Step-by-step explanation:

Answer:

Each burrito meal cost 8$

Each taco meal cost 6$

Step-by-step explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

Step-by-step explanation:

Answer:

Tacos-6

Burritos-8

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3b+4t=48)

1(6b+2t=60)

Becomes:

−6b−8t=−96

6b+2t=60

Add these equations to eliminate b:

−6t=−36

Then solve−6t=−36for t:

−6t=−36

−6t

−6

=

−36

−6

(Divide both sides by -6)

t=6

Now that we've found t let's plug it back in to solve for b.

Write down an original equation:

3b+4t=48

Substitute6fortin3b+4t=48:

3b+(4)(6)=48

3b+24=48(Simplify both sides of the equation)

3b+24+−24=48+−24(Add -24 to both sides)

3b=24

3b

3

=

24

3

(Divide both sides by 3)

b=8

Answer:

b=8 and t=6

Answer:

12 - h

Step-by-step explanation:

Answer:

   here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

   Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.

   Now, it is time to calculate the probability.

   The required probability is,

   p = (No. of cases favorable for the event)/(Total no. of cases)

   =6/36 =

Step-by-step explanation:

Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?

Answer:

y=84

Step-by-step explanation:

12*7 = 84

Answer:

-16

Step-by-step explanation:

2(8)=16, 25+(-16)=current debt after 8 weeks

Answer:

x^2 -8x + 5 = (x-4)^2 - 11

Step-by-step explanation:

Here we want to write the given expression in the form

x^2-8x + 5 can be written as follows;

(x-4)^2 = x^2 - 8x + 16

All we have to do is to subtract 11

Thus, we have it that;

x^2-8x + 5 = (x-4)^2 - 11

Answer:

540

Step-by-step explanation:

This is a linear equation y=18x. I got this equation by dividing all of the y values by the x value and finding that 18 was the common answer. Then I plugged in 30 for x and solve for y.

Answer:

[tex]3g + 40[/tex] and g= 60

Step-by-step explanation:

hope this helps have a good rest of your night :) ❤

Answer:

a) 12.1

b) 15.1

Step-by-step explanation:

Answer:

500 bricks.

Step-by-step explanation:

There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?

To solve e the above question, we have:

20 feet high = 250 bricks

40 feet high = x bricks

Cross Multiply

20 feet × x bricks = 40 feet × 250 bricks

x bricks = 40 feet × 250 bricks/20 feet

x bricks = 500 bricks

Therefore, 500 bricks will be used to build a wall is 40 feet high.

Answer:

105 miles

Step-by-step explanation:

15 miles in half an hour so 30 miles each hour

30 miles*3 hours=90 miles

90 miles+15miles= 105 miles in 3 1/2 hours

Answer:

57/100

Step-by-step explanation:

57/100

Fifty-seven(57) over one-hundred(100), or 57 more than 100 would be 157!

Hope this helps, if not, comment below please!!!

:L

Answer: if it’s asking for you to continue the sequence, try $10 for 30

Step-by-step explanation:

Multiplies of 6

The number of possible 3 - digit codes would be 900.

"A combination is a way of selecting items from a collection."

For given situation,

It is a three digit code with 0 can't be the first digit.

This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.

So, the number of possible 3 - digit codes would be,

9 × 10 × 10 = 900

Therefore, the number of possible 3 - digit codes would be 900.

Learn more about permutation and combination here:

https://brainly.com/question/13387529

#SPJ2

Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.

Step-by-step explanation: the strat would eliminate a variable in this system

Answer:

Length = 6 inches

Answer:

40+x=y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Divide the numerator but the denominator to get a decimal. (That tip saved me in 6th grade)