All categories

2 years ago

Write the sentence as an equation and solve.

Mathematics

1 answer:

Arturiano [62]2 years ago

5 0

Answer:

Step-by-step explanation:

Basically X-14-8 so 8+14=X X=22

You might be interested in

The triangles in the picture are congruent by which method

Kryger [21]

The second answer choice.

6 0

2 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

2 years ago

Find the slope of the line.

lorasvet [3.4K]

<h3>Given ↓</h3>

Two points that a line goes through

The line's slope

<h3>Calculations ↓</h3>

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

$\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}$

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

$\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}$

$\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}$

Which simplifies to $^7/_7$ , or 1

<h3>Slope ↓</h3>

1 (Option D.)

hope helpful ~

5 0

2 years ago

What is 36.993 to the nearest thousandth

finlep [7]

The next larger thousandth is 36.994 .
The next smaller thousandth is 36.992 .
Neither of those is any nearer to 36.993
than 36.993 already is.

The last '3' at the end of 36.993 is in the thousandths' place.
There is no more piece of another thousandth after it.
So 36.993 is already on a complete thousandth, and
there's no rounding required.

7 0

2 years ago

Triangles QVS and RTS are similar. Find side VS.

tekilochka [14]

In order to solve the equation, set up a proportion. Use the similar sides together!

1. 16/8 = x/20.... Similar sides are in one ratio and they equal another ratio...."x" represents the side of VS

2.Solve for "x" by cross multiplying: 8x = 320

3. Divide by 8 to find "x": x = 40

Side VS equals 40. Hope this helped :)

7 0

2 years ago