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katen-ka-za [31]
3 years ago
11

Complete the solution of the equation. find the value of y when x equals 4 -3x +9y = -57

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Answer:

y = -5

Step-by-step explanation:

-3x +9y = -57

Let x = 4

-3*4 +9y = -57

-12 +9y = -57

Add 12 to each side

-12+12 +9y = -57+12

9y = -45

Divide each side by 9

9y/9 = -45/9

y = -5

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Consider the table of the powers of 8.
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C loser that’s the correct number
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You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo
coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

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Where

h = 6.5\ ft\\\\x = 6\ ft

therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
3 years ago
Which point would be a solution to the system of linear inequalities shown below? y&gt;4 x-5\hspace{50px}y\ge\frac{3}{5} x-1 y&g
Sauron [17]

Answer:

x < \frac{20}{17} and y \ge \frac{-5}{17}

Step-by-step explanation:

Given

y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1

Required

Find x and y

In the second equation. Assume that:

y = \frac{3}{5}x - 1\\

Substitute y = \frac{3}{5}x - 1 in the first equation

y > 4x - 5

\frac{3}{5}x - 1 > 4x - 5

Collect like terms

\frac{3}{5}x - 4x >  - 5 + 1

\frac{3}{5}x - 4x >  -4

Multiply through by 5

3x - 20x > -20

-17x > -20

Solve for x

x < \frac{20}{17}

Substitute this value of x in y \ge \frac{3}{5}x - 1

y \ge \frac{3}{5}*\frac{20}{17} - 1

y \ge \frac{3}{1}*\frac{4}{17} - 1

y \ge \frac{12}{17} - 1

y \ge \frac{12- 17}{17}

y \ge \frac{-5}{17}

3 0
3 years ago
The ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Kryger [21]

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

~

3 0
4 years ago
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