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BARSIC [14]
3 years ago
9

Solve each equation for the variable

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0

Answer:

x=23

Step-by-step explanation:

(x/3)-5=6

*3        *3

x-5=18

+5  +5

x=23

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Find three consecutive integers whose sum is -93 and write an equation.
mylen [45]
-30, -31, -32
-30 + -31 + -32 = -93
8 0
3 years ago
Which equation is the equation of a line that is perpendicular to x + 2y = 16?
AnnyKZ [126]

Answer:

y=2x-2

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

Perpendicular lines always have slopes that are negative reciprocals. For example, 2 and -1/2. 3/4 and -4/3.

To determine whether a line is perpendicular to x + 2y = 16, we must first determine its slope. Rearrange the given equation into slope-intercept form:

x + 2y = 16\\\\2y =-x+ 16\\\\y=\displaystyle -\frac{1}{2}x +\frac{16}{2} \\\\y=\displaystyle -\frac{1}{2}x +8

From this, we can clearly tell that the slope (<em>m</em>) of the line is \displaystyle -\frac{1}{2}.

The negative reciprocal of \displaystyle -\frac{1}{2} is 2. Therefore, the slope of a perpendicular line would be 2.

Therefore, the correct answer option would be y=2x-2.

I hope this helps!

8 0
3 years ago
Simplified to create a equivalent expression<br> 5(2p+1)+3(3p-1)
Lemur [1.5K]

Answer:

19p+ 2

Step-by-step explanation:

I hope this helps :-)

3 0
3 years ago
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The number of men attending a school tech is 200 less than twice the number of women. The number of students at the school is 28
goldfiish [28.3K]

Answer:

80

Step-by-step explanation:

3 0
3 years ago
A plant is already 13.25 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x mon
7nadin3 [17]

H = 0.09 (20) + 13.25

H = 1.80 + 13.25

H = 15.05 m

8 0
2 years ago
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