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nadezda [96]
2 years ago
8

Carly is a catcher on the school softball team. By the end of the season, she had played 45% of the 49 games the team played. In

how many games did Carly not play?
Mathematics
1 answer:
Eduardwww [97]2 years ago
6 0
Carly did not play 22 games
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If the ratio of boys to girls in the sixth-grade chorus is 2 to 3, which choice shows possible numbers of the boys and girls in
loris [4]

Answer:

4 to 6

Step-by-step explanation:

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2 years ago
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Likurg_2 [28]

Answer:

\frac{-11}{25}+\frac{-27}{25}i given you are asked to simplify

\frac{-3+5i}{-3-4i}

Step-by-step explanation:

You have to multiply the numerator and denominator by the denominator's conjugate.

The conjugate of a+bi is a-bi.

When you multiply conjugates, you just have to multiply first and last.

(a+bi)(a-bi)

a^2-abi+abi-b^2i^2

a^2+0         -b^2(-1)

a^2+-b^2(-1)

a^2+b^2

See no need to use the whole foil method; the middle terms cancel.

So we are multiplying top and bottom of your fraction by (-3+4i):

\frac{-3+5i}{-3-4i} \cdot \frac{-3+4i}{-3+4i}=\frac{(-3+5i)(-3-4i)}{(-3-4i)(-3+4i)}

So you will have to use the complete foil method for the numerator. Let's do that:

(-3+5i)(-3+4i)

First: (-3)(-3)=9

Outer::  (-3)(4i)=-12i

Inner: (5i)(-3)=-15i

Last: (5i)(4i)=20i^2=20(-1)=-20

--------------------------------------------Combine like terms:

9-20-12i-15i

Simplify:

-11-27i

Now the bottom (-3-4i)(-3+4i):

F(OI)L (we are skipping OI)

First:-3(-3)=9

Last: -4i(4i)=-16i^2=-16(-1)=16

---------------------------------------------Combine like terms:

9+16=25

So our answer is \frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i

6 0
3 years ago
In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 point
aivan3 [116]

Step-by-step explanation:

Below is an attachment containing the solution.

6 0
3 years ago
I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ
Jobisdone [24]

Answer:

\frac{a(450-8a^2)}{4}

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

=4a^2+4ah+4a^2\\=8a^2+4ah = 450h = \frac{450-8a^2}{4a}

Now coming to volume

Volume = V = lbh = a^2 h\\= a^2*\frac{450-8a^2}{4a} \\=\frac{a(450-8a^2)}{4}

7 0
3 years ago
An airport parking lot has 2,800 spaces. if each row has 25 spaces, how many rows are there?
rjkz [21]
Answer: 112 rows

2800/25 spaces = 112 rows
6 0
2 years ago
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