All categories

2 years ago

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

Mathematics

2 answers:

TiliK225 [7]2 years ago

8 0

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

kow [346]2 years ago

4 0

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

You might be interested in

What is the volume of a cone (in cubic inches) of radius 5 inches and height 3 inches? Use 3.14 for π. Round your answer to the

Kay [80]

I hope this helps you

Volume=4/3.pi.r^2.h

Volume =4/3.3,14.5^2.3

Volume =314

5 0

3 years ago

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

2 years ago

The two triangleshaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work

pantera1 [17]

The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52

The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd

You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.

Then you only can tell the missing angles, as I have shown, but not the misssing lengths.

Download docx

8 0

2 years ago

Larios filled her a 5 gallon jug with water. How many times can she fill her to 2- quart canteen with water from the jug?

marusya05 [52]

Answer:

10 times

Step-by-step explanation:

5 gallons = 20 quarts

20 quarts / 2 quarts = 10

4 0

3 years ago

Consider the quadratic functions represented below. Function #1 Function #2 x y -1 14 -0 6 1 2 2 2 3 6 4 14 Which function has a

Harrizon [31]

Answer:

Function <u>#2</u> has a greater minimum.

#3 < #1 < #2

Step-by-step explanation:

In the picture attached, the question is shown.

The minimum of Function #1 is located at (3, -1). This is seen in the picture.

The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).

The function y = x² + 3x - 4 has its minimum at its vertex:

x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5

y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25

So, the minimum of Function #3 is located at (-1.5, -6.25)

4 0

3 years ago