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Licemer1 [7]
3 years ago
8

Question 7 of 10

Mathematics
1 answer:
TEA [102]3 years ago
7 0
The answer is definitely a
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Three fourths a number plus 8 is 20 less than the number
VARVARA [1.3K]

Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

7 0
3 years ago
The time is 2:46 PM. What is the measure of the angle that the minute hand swept through since 2:00 PM?
Sonbull [250]
The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:

\frac{46\ minutes}{60\ minutes} = \frac{x\ degrees}{360\ degrees}

You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:

\frac{46\ minutes}{60\ minutes} = \frac{x\ degrees}{360\ degrees}\\\\46*360=x*60\\16560=60x\\276=x

Therefore, the minute hand has swept through an angle with a measure of 276 degrees.

4 0
3 years ago
Perform the indicated operation:<br> -5(4a- 6b)
LuckyWell [14K]

Answer:

-20a+30b

.......................

8 0
2 years ago
What is the y-intercept of the line represented by the equation y = 2x - 3?
cestrela7 [59]
Y =Mx + C 
where M = gradient / slope
           C = y intercept

comparing with y = 2x - 3
M = 2
C = -3 
5 0
3 years ago
The matrix 1 2 4(0 1 6/7 is being used to solve a system of equations. The solution to the system is
loris [4]
| 1 2 ||x| = |4| - | 3 -1 ||y| |6| <span>-3 | 1 2||x| = |4| </span>
<span>| 3 -1||y| |6| </span>

<span>|-3 -6||x| = |-12| </span>
<span>| 3 -1||y| |6 | </span>


<span>| 0 -7 ||x| = | -6 | </span>
<span>| 3 -1 ||y| | 6 | </span>

<span>y = 6/7 </span>

<span>x = 16/7</span>
5 0
3 years ago
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