What is the value of x in the equation below? 4x + 6 = 18

Mathematics

2 answers:

TiliK225 [7]3 years ago

8 0

4x + 6 = 18
4x = 12
x = 3

kow [346]3 years ago

4 0

The value of x is 3.
4x + 6 = 18
-6 = 12
———————
4x = 12
— —
4 4
X = 3

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Cual es resultado de 8.5 × 10^4 - 3.0 × 10^3

Veronika [31]

Simplify 10^4 to 10000

8.5x10000-3.0x10^3

Simplify 8.5x*10000 to 85000x
85000x-3.0*10^3
Simplify 3.0x10^3 to 3*10^3
Answer 85000x-3*10^3

5 0

3 years ago

A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.

patriot [66]

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

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5 0

2 years ago

Each interior angle of the regular n-gon has a measure of 140

xeze [42]

Sum of internal angles of any polygon is: (n-2)x180
So measure of an interior edge is ( ( n - 2 ) x 180 ) / n = 140
So 140n = 180n - 360
40n = 360
n = 9
So it's a nonagon.

Hope this helps :)

6 0

3 years ago

Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 24.4 in.

solong [7]

Answer:

$P(X \geq 26.6) = 0.0336$ , which is greater than 0.01. So a back-to-knee length of 26.6 in. is not significantly high.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 24.4, \sigma = 1.2$