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valina [46]
2 years ago
6

A school has 300 students and 30 teachers. What is the ratio between the number of teachers and the number of students of the sc

hool?​
Mathematics
1 answer:
Oduvanchick [21]2 years ago
8 0
30 : 300
Simplify
10:100
1:10
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30 pts!
just olya [345]
<span>1: 8^-2 = 1 / 8^2 = 1/64

2: 1/3^-3 = 3^3 = 27

3: 6^-12 * 6^8 * 6^0 = 6^(-12+8+0) = 6^-4 = 1/6^4 = 1 / 1296</span>
5 0
3 years ago
Solve for y.<br><br><br><br> a.10 <br> b.12 <br> c.15 <br> d.18
Alina [70]
If angle ABC is 90°, then angle CBD is 90°:

Angle ABD=90°
3x°=90°
3x=90
Solving for x:
3x/3=90/3
x=30

Angle CBD=90°
(2x+3y)°=90°
2x+3y=90
x=30
2(30)+3y=90
60+3y=90
Solving for y:
60+3y-60=90-60
3y=30
3y/3=30/3
y=10

Answer: Option a. 10

 


3 0
3 years ago
Read 2 more answers
Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)
qaws [65]

Answer:

=-\left(3x-1\right)\left(x-3\right)

Step-by-step explanation:

10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x

\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)

5 0
4 years ago
Read 2 more answers
How many solutions are there to the system of equations?<br><br> 4x-5y=5<br><br> -0.08x+0.10y=0.10
SIZIF [17.4K]
First equation simplifies to
y=(4/5)x-1
The second equation simplifies to
y=(4/5)x +1
So the answer is
No Solution
5 0
4 years ago
What is 3.87 + 4.50 equals what
MrRissso [65]

Answer:

8.37

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
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