Instead of having a cake, Ruben wants to make ice cream sundaes at his next birthday party.He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party.
How many 1-gallon tubs of ice cream should he buy?
tubs

Answers

Answer 1

Answer:

Final answer:

Ruben should buy 3 tubs of ice cream for his party.

Explanation:

To find the number of 1-gallon tubs of ice cream Ruben should buy, we need to determine the total amount of ice cream needed and then divide by the capacity of each tub. Since each person will eat 2 cups of ice cream and there will be 24 people at the party, the total amount of ice cream needed is 2 cups/person x 24 people = 48 cups. To convert cups to gallons, we divide by the number of cups in a gallon, which is 16. So, 48 cups ÷ 16 cups/gallon = 3 gallons. Therefore, Ruben should buy 3 tubs of ice cream for his party.

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Answer 2

Answer:

Answer:

he should buy 3 gallons

Step-by-step explanation:

There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 ppl, multiply 24 by 2 to get the number of cups.

24 x 2 = 48.

Then, divide that by 16 (the number of cups in a gallon) to t how many gallons.

48 ÷ 16 = 3

so, he needs 3 gallons

hope this helped!

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Explain how to identify if the graph of a relation is a function or not

Answers

Answer:

[see below]

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range.

An x-value in a function must not repeat.

One way to see if a graph is a function is to use a vertical line test. If the line passes trough the line twice, then it is not a function.
On a table, check the x-value column or row. If any of the numbers repeat, then it is not a function.
On a mathematical map, check to see if the arrows from a domain number points to one range value on the other side. If it points to two range numbers, then it is not a function.

Hope this helps.

Nolan wrote 1.63 as a fraction in simplestform. Which number did Nolan write in
the numerator of the fraction?

Answers

Answer:

163/100 or 1 $(63)/(100)$

Step-by-step explanation:

2. From the definition of the derivative (definition 5.3), find the derivative for each of the following functions: (a) f(x) = 6x (b) f(x) = 12x – 2 (c) f(x) = kx² for k a constant

Answers

Answer:

a) $f'(x)=6$

b) $f'(x)=12$

c) $f'(x)=2kx$

Step-by-step explanation:

To find : From the definition of the derivative find the derivative for each of the following functions ?

Solution :

Definition of the derivative is

$f'(x)= \lim_(h \to 0)((f(x+h)-f(x))/(h))$

Applying in the functions,

a) $f(x)=6x$

$f'(x)= \lim_(h \to 0)((6(x+h)-6x)/(h))$

$f'(x)= \lim_(h \to 0)((6x+6h-6x)/(h))$

$f'(x)= \lim_(h \to 0)((6h)/(h))$

$f'(x)=6$

b) $f(x)=12x-2$

$f'(x)= \lim_(h \to 0)((12(x+h)-2-(12x-2))/(h))$

$f'(x)= \lim_(h \to 0)((12x+12h-2-12x+2)/(h))$

$f'(x)= \lim_(h \to 0)((12h)/(h))$

$f'(x)=12$

c) $f(x)=kx^2$ for k a constant

$f'(x)= \lim_(h \to 0)((k(x+h)^2-kx^2)/(h))$

$f'(x)= \lim_(h \to 0)((k(x^2+h^2+2xh-kx^2))/(h))$

$f'(x)= \lim_(h \to 0)((kx^2+kh^2+2kxh-kx^2)/(h))$

$f'(x)= \lim_(h \to 0)((h(kh+2kx))/(h))$

$f'(x)= \lim_(h \to 0)(kh+2kx)$

$f'(x)=2kx$

Which expression represents the phrase " the difference of 18 and 12"?

Answers

Given:

The statement is "the difference of 18 and 12".

To find:

The expression for the given statement.

Solution:

We have,

Given statement = The difference of 18 and 12.

We use subtraction, to find the different between two numbers and subtraction is represented by negative sign. So, we need to subtract second number form the first number.

The difference of 18 and 12 = 18 - 12

Therefore, the required expression for the given statement is 18-12.

HELP ME PLZ THXxx u

Answers

Answer:

1. Line g

2. Line j (not sure)

3. Plane S

4. 3 ( QT, QR, TR )

Step-by-step explanation:

I=$720, P=$1000, r=9%
Find the amount of the time.

Answers

Answer:

The amount of time is 8 years

Step-by-step explanation:

Simple interest refers to the interest produced by initial capital over a period of time. This does not accumulate to the capital to produce the interests of the following period, so the interest generated or paid in all periods is the same, while the interest rate and term dont vary.

The amount of interest paid or charged depends on three important amounts: Capital, rate and time. This is expressed by the following equation:

I = P * r * t

Where:

I = interest.
P = initial capital.
r = interest rate in decimals (it is usually a given data in percentage, which you must divide by 100 to get the value in decimals).
t = time in years.

In this case I has a value of $ 720, P has a value of $ 1000 and r of 9%, which making the conversion to decimal is 0.09

Replacing in the equation you get:

720=1000*0.09*t

Multiplying 1000 * 0.09 you get:

720=90*t

Dividing both sides by 90, in order to isolate t, you get:

$(720)/(90) =(90)/(90) *t$

8=t

Remembering that the value of t is expressed in years, this means that the amount of time is 8 years.

I = PRT....looking for T...re-arrange......I / PR = T

I / PR = T
I = 720
P = 1000
R = 9% = 0.09
now we sub
720 / (1000)(0.09) = T
720 / 90 = T
8 = T <===

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