All categories

3 years ago

Please explain by showing your work.

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Answer:

x=1.8

Step-by-step explanation:

To solve this equation, we can use PEMDAS and the various properties.

First, use the distributive property on all parenthesis, since parenthesis come first.

4x-1+6x+6x+24=52

Now we can use the commutative property to add all like terms.

16x+23=52

Now just subtract on both sides.

52-23=29 so our equation is 16x=29

To isolate x, divide both sides by 16.

x=1.8 rounded up

Hope this helps!

You might be interested in

Whats the slope intercept form for the points [5,2] and [0,-1]

Advocard [28]

Answer:

$\displaystyle y=\frac{3}{5}x-1$

Step-by-step explanation:

The Equation of a Line

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

We are given the points (5,2) and (0,-1), thus:

$\displaystyle y-2=\frac{-1-2}{0-5}(x-5)$

Operating:

$\displaystyle y-2=\frac{-3}{-5}(x-5)$

$\displaystyle y-2=\frac{3}{5}(x-5)$

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

$\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5$

$\displaystyle y-2=\frac{3}{5}x-3$

Adding 2:

$\displaystyle y=\frac{3}{5}x-3+2$

$\mathbf{\displaystyle y=\frac{3}{5}x-1}$

4 0

3 years ago

n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi

Aliun [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

7 0

3 years ago

Round 13 .3 to the nearest whole number

LiRa [457]

13.3

Since 3 is LESS than 5 we round down to 13.

3 0

3 years ago

Read 2 more answers

Selena rides her bicycle to work. It takes her 15 minutes to go 3 miles. If she continues at the same rate, how long will it tak

Paha777 [63]

It would take her 40 minutes because 15 divided by 3 is 5 so 8 times 5 would get 40

7 0

3 years ago

R is the midpoint of FG FR=27 find GR If u can please explain too

Usimov [2.4K]

Answer: GR = 27

Step-by-step explanation:

Given: R is the midpoint of FG.

i.e. R bisects FG into two equal parts as FR and GR. [Midpoint divides a line into two equal parts.]

or we can write FR = GR

Since it is given that FR = 27

Then from (i) , GR = FR = 27

i.e. GR = 27

Hence, GR = 27 , which is the required solution.

7 0

4 years ago