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2 years ago

Thirteen less than eight times a number is equal to 11 more than six times the number

Mathematics

1 answer:

Triss [41]2 years ago

6 0

Answer:

Step-by-step explanation:

8x - 13 = 6x + 11

Subtract 6x from both sides

8x - 6x = 13 + 11

Add 13 to both sides

2x = 24

divide both sides by 2

x = 12

Check solution in original equation;

8(12) - 13 = 6(12) + 11

96 - 13 = 72 + 11

83 = 83

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What is 0.9 3 4 5 / 0 15 what is 0.345 / 0 15

DaniilM [7]

Answer:

the answer is 2.5

Step-by-step explanation:

5 0

2 years ago

What is the solution to the equation

Dimas [21]

Answer:

D) 21!

Step-by-step explanation:

So what we are dealing with here is some fractions that need to be made equal

Think about the fractions 1/2 and 2/4. They look different, right?

Well really, they are equal to another. All we need to do is simplify them!

If we divide the numerator and denominator (the top and bottom) of the fraction by, lets say, 2!

2 / 2 = 1

- -

4 / 2 = 2

And viola! It's been simplified down, and now we can see they are alike!

2 pieces of a pie cut in 4 pieces is the same as 1 piece of a pie cut in half!

(pro-tip, always try dividing a fraction by 2 first)

So now, using the same principal, we can solve this problem

By taking the denominators and dividing them like this:

35 / 5 = 7

We get 7! Now since we need to make these fractions equal, lets multiply the 7 we just got by the numerator of the second fraction, 3

7 x 3 = 21

So if we put the 21 over the 35, we get 21/35!

Thus, our answer is 21!

6 0

2 years ago

Each school bus going on the field trip holds 36 students and 4 adults. There are 6 filled buses on the trip. How many people ar

WARRIOR [948]

240 people are going in the trip

5 0

2 years ago

Read 2 more answers

What is the measure of the exterior angle

Nataliya [291]

Answer:

That exterior angle is equal to 87 degrees.

Step-by-step explanation:

In order to find the measure of the exterior angle, we start by trying to find x. We can do this by adding up the 3 interior angles and setting them equal to 180. The first angle is equal to 43. The second angle is equal to x + 15. The third angle is equal to 180 - 3x (which we know because the angle and 3x is equal to 180). So we set equal to 180.

43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.

238 - 2x = 180 -----> Subtract 238

-2x = -58 ----> Divide by -2

x = 29

Now that we have the x value, we can plug into the exterior angle measure to get the value.

3x = 3(29) = 87 degrees

3 0

3 years ago

How would you caculate the zeros for this problem ×2- 10×+16=0 ??? I need step by steps for this question

timofeeve [1]

Answer:

x=2 or x=8

Step-by-step explanation:

I find it easiest to factor the equation, but you might find it easier to use the quadratic formula. Both will be shown.

<u>Factoring</u>

It is helpful to understand the relationship between the trinomial and its binomial factors:

(x +a)(x +b) = x^2 +(a+b)x +ab

This tells you the constant (ab = 16) will have two factors (a, b) that have a sum equal to the x-coefficient (a+b = -10).

We can list the factorization of 16 to see which factor pairs match that requirement:

16 = -1×-16 = -2×-8 = -4×-4

The sums of these factors are, respectively, -17, -10, -8. The pair with a sum of -10 is the one of interest. This tells us the equation factors as ...

(x -2)(x -8) = 0

The zero product rule tells us that for the product to be zero, one or more of the factors must be zero. The first factor will be zero when x=2; the second factor will be zero for x=8.

The zeros of the quadratic are x=2 or 8.

<u>Quadratic Formula</u>

The general form of a quadratic equation is often written as ...

$ax^2+bx+c=0$

And the general solution of this quadratic is given by the formula ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

Your equation has a=1, b=-10, c=16, so the quadratic formula gives the zeros as ...

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\cdot 1\cdot 16}}{2\cdot 1}=\dfrac{10\pm\sqrt{36}}{2}=5\pm 3$

As before, the zeros are 5-3 = 2, and 5+3 = 8.

8 0

2 years ago