A writing workshop enrolls novelists and poets in a ratio of 5:3.  There are 24 people at the workshop.  How many novelists are there?  How many poets are there?  Write a system of equations to model each situation.  Solve by any method.

Answers

Answer 1
Answer: There are 15 novelists and 9 artists. I did it in my head though, but I'll show what I did.
5+3=8
8x=24
X=3
3x5=15 novelists
3x3=9 artists
Answer 2
Answer: Novelists 5= 15
Poets 3= 9
Total 8= 24

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There are 16 cups in 1 gallon of milk. If the costs of 1 gallon is $4.32, what is the cost of each cup?

Answers

16cups=1gallon

1gallon=$4.32

1cup=$4.32/16=$0.27 

Answer= $0.27 or 27 cents per cup
Just divide 4.32 by 16 and that's your answer...

( your answer is .27 cents)

Which value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y?ОА
1
7
ОВ.
7
9
Ос.
8
7
D. -9
OE.
ف هایی
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Answers

Answer:

-(8)/(7)

Step-by-step explanation:

-9x+4y=8

-3x-y=4

Multiple the entire second equation by 4

-12x-4y=16

-9x+4y=8

__________

-21x=24

divide each side by -21 and simplify

x= -(8)/(7)

The slope of the line whose equation is 5 x - 3 y = 4 is
5/3
4/5
-3/5

Answers

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

5x-3y=4\qquad|\text{subtract 5x from both sides}\n\n-3y=-5x+4\qquad|\text{divide both sides by (-3)}\n\ny=(5)/(3)x-(4)/(3)

Answer: 5/3

You spend $10 on office supplies out of the $25 budget what percent of your budget did you spend

Answers

Answer:

You spent 40% of your budget on office supplies.

Step-by-step explanation:

1. First take the total budget:

$25

2. Then take the money you spent on office supplies and divide it by the total budget to find the ratio you spent:

Ratio=(10)/(25)

Ratio=0.4

3. Finally multiply the ratio by a hundred to find the percentage of the budget you spent on office supplies:

Percentage=0.4*100

Percentage=40%

Therefore, you spent 40% of your budget on office supplies.

The simplest way to find percent is to take the partial number, divide by the whole number, and multiply the answer by 100%.

(10)/(25) = 0.4

0.4 x 100% = 40%.

What is 16-(-)24+4 and does it equal 44

Answers

Answer:

yes, it equals 44

Step-by-step explanation:

16-(-)24+4=44

Answer:

it is 44

Step-by-step explanation:

2 minus's right by each other turn into a plus sign.

The equation x^2+y2-4x+2y=b describe a circle

Answers

x^2+y^2-4x+2y=b\implies~x^2-4x+4+y^2+2y+1=b+5\implies~(x-2)^2+(y+1)^2=b+5

This describes a circle centered at (2,-1) with radius √(b+5).