MATHEMATICS MIDDLE SCHOOL

Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! 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 and how many poets are there?

Answers

Answer 1

Answer:

Answer:

$\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }$

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps

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The sum of Sally's age plus twice Tomas's age is 12. The difference of Sally's age and Thomas's age is 3. Write and solve a system of equation to find their ages. Interpret the solution.

Answers

s=sally
tomas=t

s+2t=12
s-t=3
add t to both sides
s=3+t
subtitute 3+t for s in first equation
3+t+2t=12
3+3t=12
subtract 3
3t=9
divide by 3
t=3
tomas=3

subsitute
s=t+3
s=3+3
s=6

sally=6
tomas=3

Sally is older because:Sally:6Thomas:3Twice Thomas's age is 6.6+6=12Equation:6+3x2 or (6+3)x2 hint:PEMDASSolved:12

Which expression is equivalent to 16a - 18b + 20a

Answers

(16a+20a)-18b
=36a-18b

Describe what happens to the graph of y=3x+4 when the slope is changed to 1/3

Answers

The graph is still a straight line, it still cuts the y-axis at the point y=4 ,
and it still slants up from left to right.

But it becomes a lot less steep. The original line only had to go 4 inches
to the right in order to rise 1 foot. The new line has to go 3-feet to the right
in order to rise 1 foot.

11 more than five if a certain number is twenty more than 2 times of that number. what is the number?

Answers

11 more than five of a certain number would be written as 5x+11 and it is (means equal to) twenty more than two times that number, which would be 2x+20. So the equation would be
5x+11=2x+20
-2x -2x (get the x's on one side)
3x+11=20
-11 -11 (get the numbers on one side)
3x=9
/3 /3 (divide by 3, so you can get the x by itself)
X=3 (the number is 3)

Round 118.380 to the nearest hundredths

Answers

The number in the hundredths place is 3, so look to the number at the right of 3. If it is equal to or above 5, you would have to round the number in the hundredths place to one number higher. Because 8 is above 5, you would round 3 to 4.

118.380 rounded to 118.4 is your answer

Hope this helps :)

Use formula p=2l+2w find the perimeter of a rectangle with a length 8.3 ft and width of 15.8 ft