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Svet_ta [14]
3 years ago
12

What is 8+5x=-2 please explain thx <3

Mathematics
2 answers:
TEA [102]3 years ago
5 0

Answer:

x = -2

Step-by-step explanation:

Subtract the 8 from both sides

5x = -10

And divide 5 from both sides

x = -2

dexar [7]3 years ago
5 0

Answer:

x = -2

Step-by-step explanation:

when solving an equation you want to get the variable by itself, this is a 2 step equation so it will take 2 steps to solve, the first step is to subtract 8 from both sides, you do this because it is the opposite function of what the original equation says, so therefore you are sort of reversing the equation until you get the variable by itself. so when you subtract 8 you get 5x = -10 the next step is to divide both sides by 5 in order to separate 5 from x after you do this you have x by its self and you get x = -2

 8+5x = -2

- 8          -8

5x=-10

__    __

5        5      

x=-2    


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A rectangular playground has an area of 768 square meters. If the width of the rectangle is 32 meters, find the length.
Lapatulllka [165]
The length is 24 because 768 is the are and to find area you would do length x width but in this case the width has already been told so you have:
32 X____=768
so you do 768÷32= 24 so that's your answer sorry for such a long explanation which probably wasn't necessary but oh well!
4 0
4 years ago
Solve For X<br> (see picture below) <br><br> thank you!
Mashutka [201]

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

The square of the tangent is equal to the product of the external part and the entire secant, that is

x² = 6(6 + 18) = 6 × 24 = 144 ( take the square root of both sides )

x = \sqrt{144} = 12

8 0
3 years ago
Find two acute angles that satisfy the equation sin(2x + 7) = cos(x + 23). Check that your answers make
Vera_Pavlovna [14]

Answer:

The smaller angle is 43 and the larger angle is 47

Step-by-step explanation:

3 0
3 years ago
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa
kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


3 0
4 years ago
Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2
FromTheMoon [43]
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


5 0
3 years ago
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