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3 years ago

the student to teacher ratio is 15:3. if there are 90 teachers at the school, how many students are there

Mathematics

2 answers:

mixas84 [53]3 years ago

8 0

$15x+3x=90\\
18x=90\\
x=5\\\\
15x=15\cdot5=\boxed{75}$

svp [43]3 years ago

6 0

90/3 = 30
30*15=450 Students

To check: 15:3 (divide by three)
5:1
So should be five times as many students.
90*5=450 :) Hope this helps :)

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FinnZ [79.3K]

Answer:

1 1/2 or 3/2

Step-by-step explanation:

8 1/4 divided by 5 1/2

Convert to improper fraction

33/4 divided by 11/2=66/44

Simplify this to get 1 1/2 or 3/2

6 0

3 years ago

Read 2 more answers

Match each description of an algebraic expression with the symbolic form of that expression

kicyunya [14]

Answer:

A. 2 terms; variable = x; constant = 4.5 -------> 4.5 - 2x

B. 2 terms; variables = x and y -----------> 4.5y - 2x

C. 3 terms; variables = x and y; constant = 2 --------------> 4.5x + 2 - 3y

D. 3 terms; variables = x and y; constant = 3 --------------> x - 2y + 3

Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)

7 0

3 years ago

Solve 9-3(x+4)=2(x-3)-8<br> A)3<br> B)2.5<br> C)-2.5<br> D)-4

cupoosta [38]

Answer:

x=11/5, or x=2.2.

Step-by-step explanation:

9-3(x+4)=2(x-3)-8

9-3x-12=2x-6-8

9-12-3x=2x-14

-3-3x=2x-14

-3-3x-2x=-14

-3-5x=-14

5x=-3-(-14)

5x=-3+14

5x=11

x=11/5

x=2.2

4 0

3 years ago

Find the slope of a line if the points (2,-1) and (5,3) are on the line

Romashka [77]

Answer:

$\huge{ \boxed{ \sf{ \frac{4}{3} }}}$

Step-by-step explanation:

$\star{ \sf{ \: Let \: the \: points \: be \: A \: and \: B}}$

$\star{ \sf{ \: Let \: a(2,-1) \: be \: (x1 \:, y1) \: and \: b (5,3) \: be \: (x2 \:, y2)}}$

$\underline{ \sf{Finding \: the \: slope \: of \: the \: line}}$

$\boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}$

$\mapsto{ \sf{Slope = \frac{3 - ( - 1)}{5 - 2} }}$

$\mapsto{ \sf{Slope = \frac{3 + 1}{5 - 2}}}$

$\mapsto{ \sf{Slope = \frac{4}{3} }}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

4 0

3 years ago

Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-

mars1129 [50]

Answer:

Step-by-step explanation:

Given the expression

$\left(3^{-6}\times 3^{3}\right)^{-1}\\$

According to law of indices, this can be written as;

$\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27$

Hence the required answer is 27

5 0

2 years ago