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Alexandra [31]
4 years ago
9

Enrique has $50. He wants to purchase a

Mathematics
1 answer:
Vitek1552 [10]4 years ago
3 0
20+8x=50

x=50-20 Subtract the numbers

8x=30 Divide both sides of the equation by

x= 15/4 final answer

hope i helped :)
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Choose the correct equivalent expression that includes a set of parentheses so that the value of the expression is 6.
kicyunya [14]

Answer:20- 2 x (5 +2)

Step-by-step explanation:

20 - 2 x (5 + 2)

20 - 2 x (7)

20 - 14

6

6 0
3 years ago
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Choose the missing step in the given solution to the inequality −6x − 10 > 14 + 2x. −6x − 10 > 14 + 2x _______________ −8x
Vanyuwa [196]

-6x - 10 > 14 + 2x

<u>-2x       </u>    <u>    -2x  </u>

-8x  - 10 >  14               THIS IS THE MISSING STEP

<u>       +10</u>    <u>+10  </u>

-8x       > 24

\frac{-8x}{-8}       \frac{24}{-8}

  x       < -3

Answer: x < -3

8 0
3 years ago
Solve the right triangle shown in the figure BC = 1.6in&lt; A=48.8 C =90
yKpoI14uk [10]
Drawing a diagram to represent the information you've given, the only angle we are missing is B.  We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides.  Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine.  We must use tangent (the ratio for tangent is opposite/adjacent):
\tan 41.2 = \frac{x}{1.6}
Multiply both sides by 1.6:
1.6 \tan 41.2 = x&#10;\\ 3.67 = x
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
(1.6)^2+(3.67)^2=c^2&#10;\\ 2.56+13.4689=c^2&#10;\\ 16.0289=c^2&#10;\\ \sqrt{16.0289} = \sqrt{c^2}&#10;\\ 4=c
The length of side AC, the hypotenuse, is 4 inches.
3 0
4 years ago
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In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to
solniwko [45]

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

5 0
3 years ago
What is an equation in point-slope form of the line that passes through (-7.1) and (-3.9)?
forsale [732]

Answer:

y-1=2(x+7)

Step-by-step explanation:

Point-slope form: y-y_1=m(x-x_1) where a given point is (x_1,y_1) and the slope is m

<u>1) Find the slope of the line (m)</u>

Slope = \frac{y_2-y_1}{x_2-x_1} where the given points are (x_1,y_1) and (x_2,y_2)

Plug in the points (-7,1) and (-3,9)

= \frac{9-1}{-3-(-7)}\\= \frac{8}{-3+7}\\= \frac{8}{4}\\= 2

Therefore, the slope of the line is 2. Plug 2 into the equation as m:

y-y_1=2(x-x_1)

<u>2) Plug one of the given points into the equation</u>

We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):

y-1=2(x-(-7))\\y-1=2(x+7)

I hope this helps!

3 0
3 years ago
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