The total capacity of 6 pitchers and 12 glasses is 21 liters. The capacity of a pitcher is 5 times that of a glass. Find the capacity of each glass. Give you answer in liters.

Answers

Answer 1
Answer: First you must set up an equation. Since there are 6 pitchers and 12 glasses you put. 6p + 12g = 21. Then they give you what p is (5g) and you plug that in and solve for g.

6(5g) + 12g = 21
30g + 12 g = 21
42 g = 21

Divide 42 on both sides to isolate the variable g. You get g = 0.5

The answer is that the capacity of each glass is 0.5 liters.

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Which relation represents f(x) = 2x - 5?{(0,-5), (1, -3), (2, 1), (3, 1)){(0,-5), (1,3), (2, -1), (3, 1)){(0,-5), (1, -3), (2, -1), (3, 1);{(0,5), (1, -3), (2, -1), (3, 1)}

Kayla's school is selling tickets to a play. On the first day of ticket sales, the school sold 5 senior citizen tickets and 3 child tickets for a total of $69. The school took in $73 on the second day by selling 1 senior citizen ticket and 8 child tickets. Find the price of a senior citizen ticket and the price of a child ticket

Answers

Answer:

Senior Citizen Tickets Cost = $9

Child Tickets Cost = $8

Step-by-step explanation:

Let price of senior ticket be "s", and

price of child ticket be "c"

5 senior ticket and 3 child ticket cost 69, so we can write:

5s+3c=69

Also, 1 senior and 8 child tickets cost 73, thus we can write:

s+8c=73

Or

s=73-8c

We can put this into 1st equation and get an equation in terms of "c" and solve for c first:

5s+3c=69\n5(73-8c)+3c=69\n365-40c+3c=69\n296=37c\nc=8

Thus, c = 8

Now,

s = 73 - 8c

s = 73 - 8(8)

s = 73 - 64

s = 9

So,

Senior Citizen Tickets Cost = $9

Child Tickets Cost = $8

Nagaraj has a​ party-length sandwich that is 55 inches long and is to be cut into three pieces. The middle piece will be 4 inches longer than the shortest​ piece, and the shortest piece will be 9 inches shorter than the longest piece. How long will the pieces​ be?

Answers

Answer:

S = 14 inches

M = 18 inches

L = 23 inches

Step-by-step explanation:

Let's being by defining our variables:

Shortest piece = S

Middle piece = M

Longest piece = L

So now we need to write down what formulas we're given:

"Nagaraj has a​ party-length sandwich that is 55 inches long and is to be cut into three pieces"

so we can start by knowing the S + M + L = 55

"The middle piece will be 4 inches longer than the shortest​ piece"

This means that M - 4 = S

"the shortest piece will be 9 inches shorter than the longest piece"

Finally, this means that S + 9 = L

What we need to do now is turn all of these things into the form of one letter. We can see that S is in all three of these equations, so lets solve everything in terms of S.

M = S + 4

L = S + 9

Now we can plug in both of those things into our first equation to get:

S + S + 4 + S + 9 = 55

and now we solve :)

3S = 42

S = 14

So now given this we can use this to solve the other three lengths

M = 14 + 4 = 18

L = 14 + 9 = 23

Question 1: Evaluate 5m-6: m=7

Answers

Answer: 29

Step-by-step explanation:

Answer: 29

Step-by-step explanation:

5m-6

5(7)-6

35-6

29

Which is the graph of the cube root function f(x) = 3sqrtx?

Answers

Answer:

B

Step-by-step explanation:

Three people are kayaking. They all started at the same point and rowed in the same direction for 20 minutes. Laura rowed 7/8 mile
Daniel rowed 1/2 mile
Annabelle rowed 1/4 mile
Part A:
Did Laura row a distance greater than, less than, or equal to the combined distance of Daniel and Annabelle?

Answers

We can make everything have the same denominator so we can add, subtract, and compare them:

The common denominator between 2, 4, and 8, is 8.

7/8 = 7/8

1/2 = 4/8

1/4 = 2/8

The question is if Laura rowed more, less, or the same to the combined distance of Daniel and Annabelle:

Laura : 7/8

Daniel: 4/8

Annabelle: 2/8

4/8 + 2/8 = 6/8

So Daniel and Annabelle's distance combined is 6/8, which is less than Laura's:

7/8 > 6/8.

This means that Laura rowed more than Daniel and Annabelle.

a cartoon can hold a thousand units cubes that measure 1-inch by 1-inch by 1-inch describe the dimensions of the cartoon using unit cubes

Answers

The correct answer for the question that is being presented above is this one: 10 x 10 x 10 cubic units.

The volume of a cube is 
Volume = s^3
1000 = s^3
s = cube root (1000) 
s = 10 inches.

The dimensions of the carton are:
10 in x 10 in x 10 in.