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CaHeK987 [17]
3 years ago
12

3(8 - 4x) = 12 Please help. You have to use distributive property to solve.

Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

x=1

Step-by-step explanation:

First, we distribute the 3 to the 8 and the 4x.

Now we have 24-12x=12

Then, we subtract 24 from 12

Now we have -12x=-12

Finally, we devide -12 by -12

Now we have x=1

Hope that helps!

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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 p
nikklg [1K]
X = large boxes and y = small boxes

x + y = 70.....x = 70 - y
60x + 65y = 4300

60(70 - y) + 65y = 4300
4200 - 60y + 65y = 4300
5y = 4300 - 4200
5y = 100
y = 100/5
y = 20 <=== the small boxes weigh 20 lbs

x + y = 70
x + 20 = 70
x = 70 - 20
x = 50 <== and the large boxes weigh 50 lbs
5 0
3 years ago
The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?
yaroslaw [1]

Answer:

  y = 3/5x + 6

Step-by-step explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

  y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

  y = 3/5(x +10)

  y = (3/5)x + 6

5 0
3 years ago
While bird watching gabrielle saw 6 robins and 3 blue jays. Chase saw 3 robins and 6 blue jays. Who saw more birds? Tell which p
Serjik [45]
They both saw the same amount because 6+3 = 9 and 3+6 = 9
4 0
3 years ago
Given that tan θ ≈ −0.087, where 3 2 π &lt; θ &lt; 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

  • sin θ ≈ -0.08667
  • cos θ ≈ 0.99624

Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

  cos(-0.08678 radians) ≈ 0.99624

_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

  \cos{\theta}=\dfrac{1}{\sqrt{1+\tan^2{\theta}}}\\\\\sin{\theta}=\dfrac{\tan{\theta}}{\sqrt{1+\tan^2{\theta}}}

That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

4 0
3 years ago
Karla needs to convert 16 oz to cups.She knows that 8 liquid oz= 1 c.Her work is shown.
padilas [110]

Answer:

  • Karla is wrong, correct answer is 2  cups

Step-by-step explanation:

<u>8 oz = 1 cup</u>

  • the ratio 1 oz = 1/8 cup

<u>Find the answer using the ratio</u>

  • 16 oz = 16*1/8 cup = 2 cups
7 0
3 years ago
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