there are 112 students for 14 teachers write the rate as a fraction then find the unit rate

Answers

Answer 1

Answer:

8 students for every teacher

Step-by-step explanation:

112 divided by 14 is 8

Answer 2

Answer:

8 students per teacher

Step-by-step explanation:

[tex]\frac{112}{14\\}[/tex]=[tex]\frac{8}{1}[/tex] You get this by dividing both numbers by 14.


Related Questions


6. The Awesome Bowl Factory makes two kinds of bowls. They produce a
basic bowl every 9 minutes and a gigantic bowl every 12 minutes. They
start at 8:00 A.M. At what time are the basic bowl and the gigantic bowl
first produced together?

Answers

Answer: 8.36 a.m

Step-by-step explanation:

To solve this, first we need to calculate the lowest common multiple of 9 and 12.

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120.

Here, the lowest common multiple = 36

Therefore, we will add 8.00am plus 36 minutes. This will be:

= 8:00 a.m + 36 minutes

= 8.36 am

The time that the basic bowl and the gigantic bowl are first produced together is 8.36 am.

If a middle school has 1,256 books to divide among 13 teachers. How many will each teacher get

Answers

Answer:

96.61

Step-by-step explanation:

Answer:

96 R (remainder) 8

Step-by-step explanation:

96 R8

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values, how many terms are in this geometric series

Answers

Answer:

There are 5 terms in the series.

Step-by-step explanation:

[tex]S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\[/tex]

Take logs to get n = 5

Answer:

5

Step-by-step explanation:

Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.​

Answers

Answer:

-30 feet

Step-by-step explanation:

it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss

Grade:
Subject: Ma
Stream: Advanced
Number of P
End of Term 1 Exam
Academic Year 2018/2019
Part 1
Circle the letter corresponding to the correct answer.
1) Write an algebraic expression for "3 times X squared minus 4 times X"
a) 3x - 4x?
c) 3x² - 4
b) 3x - 4x
d) 3x2 - 4x​

Answers

the answer is c) 3x^2- 4

can someone help me answer this question please!!​

Answers

Answer:

i think its A

Step-by-step explanation:

Find the slope of the line through the
given points: (5,-4) & (-1,-4).

Answers

Answer:

m=0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Since -4-(-4)=0, we know that the slope has to be zero since the numerator is zero.

HTH :)

The equation 9 y minus 12 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for y?

Answers

Answer:

9y-12x=36

9y=36+12x

y=(36+12x)÷9

Answer:  y=8 and x=3

Example: Because 9*8=72 and 12*3=36

72-36=36

What are the polar coordinates of the complex number -23i?​

Answers

Please markme as Brainliest .......

The regular price of a laptop computer is $914.00. This week, it is on sale for $886.00 of
What is the sale price of the computer?

Answers

Answer:

3.1%

Step-by-step explanation:

Subtract.

914 - 886 = 28

Divide by the original price.

28/914 = 0.0306345...

Multiply by 100%.

0.0306345... * 100% = 3.06345%

Round if needed.

3.06345% -> 3.1%

Best of Luck!

3.1 %
Uhh I tried
Lmk,

help me out really fast pleaseee

Answers

Distributive because he changed the fractions to the way it would go.

I need help
1/2 + 1/3

Answers

Answer:

5/6

Step-by-step explanation:

1/2x3= 3/6

1/3x2=2/6

3/6+2/6=5/6

which represents the area of the figure

ASAP PLS

Answers

The Answer is B so pick it.

Answer:

What does a goat say?BBBBBBB

Step-by-step explanation:

50 points, need help ASAP


Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4


y=-18
y=3
y=8
y=-8

Answers

(x+5y=7)2
2x+10y=14
2x + 4y = -4
Subtract
6y = 18
Divide by 6
Y = 3

Answer: [tex]y = 3[/tex]

1. First, solve for unknown x.

[tex](x+5y=7)2[/tex]

2. Balance the equation.

[tex]2x+10y=14[/tex]

[tex]\mathrm {2x + 4y = -4}[/tex]

3. Now, we subtract.

[tex]6y = 18[/tex]

[tex]6[/tex] × [tex]3 = 18[/tex]

4. Finally, divide.

[tex]18/6=3[/tex]

Find the value of X.

Answers

54+9+x=90
63+x=90
Answer
X=27

What is the answers help me please part A B C

Giving extra points

Correct answer

Answers

Answer:

A, 38, 40

Step-by-step explanation:

a. A has to be the first graph because it starts at $ 25 and it rises as more work needs to get done

b.if you go from 50 up until you get to the line, then look left at the axis is about $38

c. C=25+s*0.25, substitute c=35 and find s

35=25+s*0.25 subtreact 25 from both sides

35-25= s*0.25

10=s*0.25 divide both sides by 0.25

10/0.25=s

40=s

8x^(2)+16x=42 completeing the square

Answers

16
x
2
+
16
x
=
42
Step 2: Subtract 42 from both sides.
16
x
2
+
16
x

42
=
42

42
16
x
2
+
16
x

42
=
0
For this equation: a=16, b=16, c=-42
16
x
2
+
16
x
+

42
=
0
Step 3: Use quadratic formula with a=16, b=16, c=-42.
x
=

b
±
b
2

4
a
c
2
a
x
=

(
16
)
±
(
16
)
2

4
(
16
)
(

42
)
2
(
16
)
x
=

16
±
2944
32
x
=

1
2
+
1
4
46
or
x
=

1
2
+

1
4
46
Answer:
x
=

1
2
+
1
4
46
or
x
=

1
2
+

1
4
46

Max has 8 pennies.
Jen has 3 more pennies than max.
how many pennies do max and jen have in all

Answers

Answer:

19

Step-by-step explanation:

8+(8+3)

...........

What is the approximate value of x? Round to the nearest tenth

Answers

Answer:

10

Step-by-step explanation:



Brandon enters bike races.
He bikes 8 /2 miles every 1/2 hour.
How fast did he go

Answers

Answer:

He goes 8 miles an hour

Step-by-step explanation:

8/2 is equal to 4. If Brandon bikes 4 miles in half an hour and keeps a constant speed he ends up biking 8 miles in an hour since two halves of an hour make one.

What is another way to write x divided by 12
?

Answers

Answer:

x/12

Step-by-step explanation:

Find the lcm for 96 and 24

Answers

Answer: 96

Step-by-step explanation:

Chris has a collection of dimes and quarters worth $4.25. If she has 22 coins total, how many quarters does she have?

Answers

Given:

Chris has a collection of dimes and quarters worth $4.25.

To number of coins = 22

To find:

The number of quarters.

Solution:

Let x be the number of dimes and y be the number of quarters.

Total coins : [tex]x+y=22[/tex]          ...(i)

we know that, 1 dime = $0.10 and 1 quarter = $0.25.

Total value : [tex]0.10x+0.25y=4.25[/tex]      ...(ii)

Multiply equation (i) by 0.10 and subtract the result form (ii).

[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]

[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]

[tex]0.15y=2.05[/tex]

Divide both sides by 0.15.

[tex]y=\dfrac{2.05}{0.15}[/tex]

[tex]y=13.6667[/tex]

Number of quarter cannot be a decimal value.

[tex]y\approx 17[/tex]

Therefore, the number of quarter is about 17.

A= 20 square root of 2
B= 5
C=20
D=10

Answers

A is the answer for sure

How many 5-digit numbers are there in which three of the digits are 6, or two of
the digits are 9 ?

Answers

Answer:

The value  is  [tex]Z = 80[/tex]

Step-by-step explanation:

From the question we are told that

    The total  number of digit is  n = 5

     The total possible number of  6  is  k =  3

     The total possible number of  9  is  a = 2

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 3 of the digit are 6 is mathematically represented as

       [tex]N = ^ nP_k[/tex]

Here P stands for permutation hence we are going to be making use of the permutation function in our calculators

      [tex]N = ^ 5P_3[/tex]

=>   [tex]N = 60[/tex]

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 2 of the digit are 9 is mathematically represented as

       [tex]M = ^ nP_a[/tex]

      [tex]M = ^ 5P_2[/tex]

=>   [tex]M = 20[/tex]

Generally the number of 5-digit numbers there are in which three of the digits are 6, or two of  the digits are 9  is mathematically represented as

      [tex]Z = M + N[/tex]

=>   [tex]Z = 60 + 20[/tex]

=>   [tex]Z = 80[/tex]

If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.

Answers

Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Will give brainliest!!!!
Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.

To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.

The similarities is that we end up with -23 on the right side, but the inequality signs are different.

Find the unit rate. 12 laps in 30minutes.
Asking for fraction

Answers

Answer:

4/10 maybe cuz 12 divided by 30 is 0.4 and 0.4 would be 4/10


What is the area, height, and base of this triangle?

Answers

This should be your answer

Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
represents this situation?
x + (3 - x) = 21, where x is the number of marbles Geraldo has
x + (3 - x) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Geraldo has
Done
My Progress >

Answers

Answer:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

Answer: X+(X-3)=21 or C

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