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Grace [21]
3 years ago
14

Last year Chesa made 32 one-cup servings of soup for a school party this year she will make two times the amount of soup that sh

e made last year how many gallons of soup will
Chesa make this year
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0
So she made 32 cups last year...she made 2 times as much this year...so she made 2(32) = 64 cups this year.

1 gallon = 16 cups
64/16 = 4 gallons
The answer is Chesa made 4 gallons of soup 
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Factor the polynomial function over the complex numbers. f(x)=x^4-x^3-2x−4 Enter your answer in the box. f(x) = The answer is: (
Vladimir79 [104]

Answer:

Factors: (x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

Step-by-step explanation:

We are given a polynomial:

f(x)=x^4-x^3-2x-4

We have to factor the given polynomial into its complex factors.

The factorization can be done as follows:

f(x)=x^4-x^3-2x-4 = 0\\x^4-x^3-2x-4 = 0\\x^4-4-x^3-2x=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^4-4)-(x^3+2x) = 0\\(x^2+2)(x^2-2)-x(x^2+2) = 0\\(x^2+2)(x^2-2-x) = 0\\(x^2+2)(x^2-x-2) = 0\\(x^2+2)(x^2-2x-+x-2) = 0\\(x^2+2)((x(x-2)+1(x-2))=0\\(x^2+2)(x+1)(x-2)=0\\\text{Identity: }a^2-b^2 = (a+b)(a-b)\\(x^2-(\sqrt{-2})^2)(x+1)(x-2)=0\\(x+i\sqrt2)(x-i\sqrt2)(x+1)(x-2)=0

8 0
2 years ago
What is the answer to 19+x/2=4?
salantis [7]
19+x/2=4
multiply 2 on both sides
19+x=4 times 2
19+x=8
subtract 19 on each side
x=8-19
subtract
x=-11
8 0
3 years ago
What is an algebraic expression for 58 less than a number n?
Korvikt [17]

Answer:

n-58

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46
julsineya [31]

The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

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c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation:

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Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

Learn more about the function here:

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5 0
1 year ago
Read 2 more answers
Vidriana rolled a number cube 96 times. Her results are shown in the table, what is the experimental probability of rolling an e
hichkok12 [17]

Answer:

50/96

Step-by-step explanation:

I assume the table is:

\left[\begin{array}{cc}Result&Total\\1&15\\2&13\\3&16\\4&17\\5&15\\6&20\end{array}\right]

Even numbers are 2, 4, and 6.  The total number of times she rolled an even number is 13 + 17 + 20 = 50.

So the probability is 50/96.

7 0
2 years ago
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