MATHEMATICS
HIGH SCHOOL

How much does each candy bar sell for?

Answer: C=Candy Bar(s)

D=Drink(s)

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

60C+110D=265

120C+90D=270

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

Therefore:

60C=265-110D

Therefore:

2(60C)+90D=270

2(265-110D)+90D=270

530-220D+90D=270

530-270=220D-90D

260=130D

D=260/130

D=2

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If D=2,

60C=265-110(2)

60C=265-220

60C=45

C=45/60

C=3/4

C=0.75

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*Candy bars sell for $0.75 whilst drinks sell for $2.00.

D=Drink(s)

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

60C+110D=265

120C+90D=270

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

Therefore:

60C=265-110D

Therefore:

2(60C)+90D=270

2(265-110D)+90D=270

530-220D+90D=270

530-270=220D-90D

260=130D

D=260/130

D=2

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

If D=2,

60C=265-110(2)

60C=265-220

60C=45

C=45/60

C=3/4

C=0.75

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

*Candy bars sell for $0.75 whilst drinks sell for $2.00.

HIGH SCHOOL

A shopper purchased 8 t shirts and 5 pairs of pants for 220. The next day he purchased 5 t shirts and 1 pair of pants. How much does a t shirt and each pair of pants cost

Answer:the price for one shirt is $20

the price for one pair of pants is $12

Step-by-step explanation:

The question is incomplete. The complete question is

A shopper purchased 8 t shirts and 5 pairs of pants for $220. The next day he purchased 5 t shirts and 1 pair of pants for $112. How much does a t shirt and each pair of pants cost.

The solution is

Let x represent the price for one t shirt.

Let y represent the price for one pair of pants.

A shopper purchased 8 t shirts and 5 pairs of pants for $220. This means that

8x + 5y = 220 - - - - - - - - - -1

The next day he purchased 5 t shirts and 1 pair of pants for $112. This means that

5x + y = 112 - - - - - - - - - - - 2

Multiplying equation 1 by 5 and equation 2 by 8, it becomes

40x + 25y = 1100

40x + 8y = 896

Subtracting, it becomes

17y = 204

y = 204/ 17 = 12

Substituting y = 12 into equation 2, it becomes

5x + 12 = 112

5x = 112 - 12 = 100

x = 100/5 = 20

HIGH SCHOOL

X2 + 5x + 6 Select one of the factors of the quadratic expression.

The answer is x+2 and x+3.

Please, use " ^ " to represent exponentiation.

x^2 + 5x + 6 can be factored as follows: (x+2)(x+3). Note that 2*3 = 6 (the 3rd term) and that 2x + 3x = 5x (the middle term).

x^2 + 5x + 6 can be factored as follows: (x+2)(x+3). Note that 2*3 = 6 (the 3rd term) and that 2x + 3x = 5x (the middle term).

MIDDLE SCHOOL

circle A and circle B are congruent. CD is a chord of both circle. if AB = 8 in. and CD = 6 in., how long is a radius?

AB’s radius can be found by dividing 8 in half to get 4. While CD’s radius can be found by dividing 6 in half to get 3

MIDDLE SCHOOL

Which is a correct first step for solving this equation? 4x=7+3(2x−5)

Answer:

Step-by-step explanation:

The easiest first step is to remove the brackets. Other things could be done, but they are done just because you can.

4x = 7 + 3*2x - 5*3 Just to show you more, I'll keep going.

4x = 7 + 6x - 15 Combine the minus 15 and 7

4x = 6x + 7 - 15

4x = 6x - 8 Now add 8 to both sides. It's a toss up of what to do

4x + 8 = 6x - 8 + 8

4x + 8 = 6x Subtract 5x from both sides

4x - 4x + 8 = 6x - 4x

8 = 2x Divide by 2

x = 4

The steps usually follow this order.

Answer:

x=4

Step-by-step explanation:

you have to do the ( ) first then you combine like terms and then you add them up and boom you got the answer

MIDDLE SCHOOL

1.question The Volume of the large cube is 125 cubic inches.The volume of the small cube is 27 cubic inches.What is the difference between the length of one side of the large cube and the length of one side of the small cube?Show your work.

2.questionA Collection of meteorites includes three meteorites that weight 1.1 x 10^2 grams,6.8 x10^0 grams,and 8.4 x 10^-2 grams.What is the difference between the mass of the heaviest meteorite and the mass of the lightest meteorite?Show work and write your answer in standard notation.

Part 1)

we have that

[volume of the cube]=b³---------> b=∛volume

where

b is a length side of a cube

The Volume of the large cube is 125 in³

b=∛125------> 5 in

The volume of the small cube is 27 in³

b=∛27------> 3 in

the difference between the length of one side of the large cube and the length of one side of the small cube is

(5 in-3 in)------> 2 in

the answer Part 1) is

2 in

Part 2)

we have that

1.1 x 10^2 grams-------> 110 grams

6.8 x10^0 grams--------> 6.8 grams

8.4 x 10^-2 grams-----> 0.084 grams

the difference between the mass of the heaviest meteorite and the mass of the lightest meteorite is

(110 -0.084)=109.916 grams-------> 109916 x 10^-3 grams

the answer Part 2) is

109916 x 10^-3 grams

we have that

[volume of the cube]=b³---------> b=∛volume

where

b is a length side of a cube

The Volume of the large cube is 125 in³

b=∛125------> 5 in

The volume of the small cube is 27 in³

b=∛27------> 3 in

the difference between the length of one side of the large cube and the length of one side of the small cube is

(5 in-3 in)------> 2 in

the answer Part 1) is

2 in

Part 2)

we have that

1.1 x 10^2 grams-------> 110 grams

6.8 x10^0 grams--------> 6.8 grams

8.4 x 10^-2 grams-----> 0.084 grams

the difference between the mass of the heaviest meteorite and the mass of the lightest meteorite is

(110 -0.084)=109.916 grams-------> 109916 x 10^-3 grams

the answer Part 2) is

109916 x 10^-3 grams

MIDDLE SCHOOL

Need word problem solved A washer and a dryer cost 821 combined. The washer costs 79 less than the dryer. What is the cost of the dryer?

Answer:

The cost of the dryer is 450

Step-by-step explanation:

Given : A washer and a dryer cost 821 combined.

The washer costs 79 less than the dryer.

To Find : The cost of dryer

Solution :

Let the cost of washer be x.

Let the cost of dryer be y.

Since we are given that their combined cost is 821 .

⇒ x+y = 821 ----(A)

We are also given that the washer costs 79 less than the dryer.

⇒x = y - 79 ----(B)

Solving A and B using substitution method .

Put value of x from (B) in (A)

⇒y -79 + y = 821

⇒2y -79 = 821

⇒2y = 821+79

⇒2y = 900

⇒y = 450

Thus , The cost of dryer 'y' is 450 .

Now putting this value in (B)

⇒x = 450-79

⇒x = 371

Thus , The cost of washer 'x' is 371 .

Hence The cost of dryer is 450

Let x be the cost of dryer, y be the cost of washer

x + y =821

x-79 = y

combine 2 equation

we got

x + (x-79) = 821

2x + 79 = 821

2x = 742

x=471

The cost of dryer is $471

x + y =821

x-79 = y

combine 2 equation

we got

x + (x-79) = 821

2x + 79 = 821

2x = 742

x=471

The cost of dryer is $471

COLLEGE

5.3 divided by 37.63

7.1 is the correct answer

0.1408450704 That is the answer.

HIGH SCHOOL

Another way to check the sum of 104+34+228+877

We are asked to identify an another way to solve the given problem or this summation 104 + 34 + 228 + 887. We can verify it by doing of performing the summation in a reverse sequence such 877 comes first, then followed by 228, then followed by 34 and lastly added by 104. Therefore, the answer is 877 + 228 + 34 + 104.This is an another way to solve the given problem.

MIDDLE SCHOOL

At a local print shop, 20 copies can be made for $8. At this rate, how much would it cost to make 85 copies? Fill out the table of equivalent ratios until you have found the value of x.

The cost to make 85 copies will be $34.

What are equivalent Ratios ?Two or more ratios are called Equivalent when they have the same value when reduced to the simplest form.

It is given ion the question that

At a local print shop, 20 copies can be made for $8.

cost to make 85 copies = ?

So to determine the cost

It is known that the copies and the rates are in ratio

So the ratio is 20:8

or 10:4

or 5 :2

20:8 , 10: 4 , 5:2 are all equivalent ratios.

The ratio of 85 copies and x cost is

85:x , this is equal to any of the equivalent ratios

85 : x = 5:2

x = 85*2 /5

x = $34

Therefore $34 will be the cost of 85 copies.

To know more about Equivalent Ratios

brainly.com/question/13513438

#SPJ2

$34 is needed

Create your table using algebraic expression for the scenerio.

Hope this helps