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ki77a [65]
3 years ago
7

twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

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In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
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Answer:

y will be in every single quadrant

Step-by-step explanation:

So we have the equation y\leq \frac{2}{7} x+1  first we will have to look at the equation. It says that y is less than or equal to \frac{2}{7} x+1 since y is less than \frac{2}{7} x+1 the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way

5 0
3 years ago
8 3/5 - 1 3/10 = ?<br><br> this is fractions
Semenov [28]
1)  8 \frac{3}{5} - 1 \frac{3}{10}

2)  8 \frac{6}{10} - 1 \frac{3}{10}=

3)  7\frac{3}{10}

Answer
7 \frac{3}{10}
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3 years ago
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Find all real solutions of the equation. (Enter your answers as a comma-separated list.)
34kurt

Answer:

0,1

Step-by-step explanation:

x^2 − x = 0

Factor out an x

x(x-1) =0

Using the zero product property

x=0     x-1=0

Solving each equation

x=0    x-1+1 =0+1

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3 years ago
How many U.S. dollars have the same value as 1 euro?
Natalija [7]

Answer:

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Step-by-step explanation:


7 0
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I need help i dont know what to do
vladimir1956 [14]

9514 1404 393

Answer:

  ∠CAB = 28°

  ∠DAC = 64°

Step-by-step explanation:

What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.

<u>Left</u>

Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...

  x + x + ∠AEB = 180°

  2x = 180° -124° = 56°

  x = 28°

The measure of angle CAB is 28°.

__

<u>Right</u>

Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.

  ∠BCA = ∠DAC = 64°

The measure of angle DAC is 64°.

(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)

8 0
3 years ago
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