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-BARSIC- [3]
3 years ago
11

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. a

. How many students spending night in cabins? b. If a cabin sleeps 8 people, how many cabins need to be rented?
Mathematics
2 answers:
posledela3 years ago
7 0
472-120= 352
352 / 8 = 44

352 kids will be spending the night
And 44 cabins will be needed
Reil [10]3 years ago
4 0

Step-by-step explanation:

472-120=352 sleep in a cabin

352÷8=44 cabins

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Julie, a cafeteria manager, is making a large amount of chicken soup to serve for lunch tomorrow.
Nimfa-mama [501]

Answer:

12 cups

Step-by-step explanation:

Divide the given amount of celery, 18 cups, by the number of cups in the given ratio, 3 cups.

18/3=6

This number is how many times the ratio Julie used. Use this number to multiply the ratio number of carrots, 2 cups

2*6=12

Julie uses 12 cups of carrots in her chicken soup

\frac{12}{18}=\frac{2}{3}

6 0
3 years ago
Which of the following is the complex conjugate of the complex number below? 4+51i
Fynjy0 [20]
Answer is C

The conjugate of the complex number a+bi is a-bi

you just reverse the sign of the imaginary part of the number ; so it is 4-51i

5 0
3 years ago
Three friends meals at a restaurant cost is 13,14,and 11 dollars. Use parentheses to write two different expressions to show how
fomenos
(13+14)+11= 13+(14+11)
Associative property of addition
4 0
3 years ago
Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
3 years ago
Solve the equation. –3x + 9 = –3(2x + 3) + 3(x – 4) + 1 How many solutions does this equation have? one solution two solutions i
gavmur [86]

-3x+9 = -3(2x+3) + 3(x-4)+1

distribute

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add like terms

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add 3x to each side

9 = -20

there are no solutions because 9 does not equal -20

6 0
2 years ago
Read 2 more answers
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