Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let represent the number of people at the get-together, the number of cups of water, the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation.

Answers

Answer 1

Answer: B,C,D,F

Step-by-step explanation:

Answer 2

All the correct mathematical statements that represent the quantities and constraints in the given situation are;

Option B; 5 ≤ n ≤ 8

Option C; c = 2n

Option D; l = c

Option F; 10 ≤ l ≤ 16

We are told that;

n = the number of people

c = the number of cups

l = the number of scoops of lemonade powder.

We are told that number of people is a total of between 5 to 8 people. Thus, the inequality to represent this is; 5 ≤ n ≤ 8

We are told that she wants to prepare 2 cups of lemonade for each person. This means when n = 1, c = 2 ; when n = 2, c = 4. Thus, this can be expressed as; c = 2n

We are told that the lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. That means 4 lemonade powder scoops = 4 cups. This can be expressed as; 4l = 4c. This can be simplified to; l = c

Since she is expecting between 5 to 8 people including herself. 2 lemonade scoops per person means;

the least amount of lemonade = 5 × 2 = 10

the maximum lemonade = 8 × 2 = 16

This can be written in inequality form as;

10 ≤ l ≤ 16

The only options that correspond with all the inequalities gotten above are; Options B, C, D, F.

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A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks.

If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?

Answers

Answer:

I think 20

Step-by-step explanation:

480/24

The maximum number of chairs that the librarian can buy is 20

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which :

s represents = the number of chairs,

and we simply solve for s.

800 = 320 + 24s ... subtract both sides by 300

500 = 24s ... divide both sides by 24

20.83 = s

Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.

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Refer to the graph. Find the slope of each line

Answers

the top line has a slope of 2/4 which reduces to 1/2 and the second line has a slope of -1/4

Answer:

The top line has a slope of 1/2

The bottom line has a slope of - 1/4

Question 10 of 10
Solve 3 ax + 4ax = 5ax + 4 for x. Assume at 0.
A. X = 2
a
B. x= 2a
C. x =
За
D. X = 3a

Answers

[tex]x = \frac{2}{a} [/tex]

Step-by-step explanation:

3 ax + 4ax = 5ax + 4, combine like terms

7ax = 5ax + 4, minus 5ax from both sides

2ax = 4, divide 2a on both sides

you'll be left with x = 2/a

When a fraction is reduced to lowest terms, the only factor the numerator and denominator have in common is _____.

10
1
0
5

Answers

This means that there is no number, except 1, that can be divided evenly into both the numerator and the denominator. To reduce a fraction to lowest terms, divide the numerator and denominator by their Greatest Common Factor (GCF). This is also called simplifying the fraction.

what number can be added to 55 and have 45 and 9 as thier greatest common factor?

Answers

Answer:

Step-by-step explanation:

Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6

Answers

Answer:

Step-by-step explanation:

K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2

y=-2x+b

2=-2*-2+b

b=-2

y=-2x-2

y+2x=-2

The equation of the line in standard form with integer coefficients is → y + 2x = - 2.

What is the general equation of straight line?

The general equation of straight line is -

y = mx + c

where 'm' represents the slope of the line and 'c' is the y - intercept.

Given is a line that passes through the points -

(-2, 2), (1, -4)

We can calculate the slope of the line using the two coordinates given -

(-2, 2), (1, -4). The slope will be -

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Prove that:

( sec 4A - 1 ) / ( sec 2A - 1 )

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Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help

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GangbbsnnanMmajajajnqj

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sec 1A = tan 2A

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Additional comment

You can also consider irrational numbers with exponents.

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(√2)^2 = 2^1 . . . . . . rational

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False, the LCM of 50, 120 and 225 is 1800.

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Step-by-step explanation:

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Step-by-step explanation:

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