Drag each equation to show if it could be a correct first step to solving the
equation 3(6 + x) = 24. i dont have the picture

Answer: The base of the triangle is 15 inches

Formula for area of a triangle: A = bh/2

Subsitute values into the formula:

150 = b(20)/2

Now solve for b

150 = b20/2

x 2           x2

--------------------

300 = b20

300/20 = b20/20

15 = b

The base of the triangle is 15 inches

Answer:

Parallel lines

Step-by-step explanation:

Parallel lines never intersect and are always same distance apart.

Hope this helps, thank you :) !!

Answer: Parallel Lines

Step-by-step explanation:

Answer:

85 feet per day = 5.879846 miles per year.

Answer:

5.88 miles

Step-by-step explanation:

85 x 365 =31,025 feet per year

31025/5280 = 5.88 miles

Answer:

[tex]x = 5 \± \sqrt{31}[/tex]

Step-by-step explanation:

Given

[tex]6 = x^2 - 10x[/tex]

Required

The solution in radical form

[tex]6 = x^2 - 10x[/tex]

Rewrite as:

[tex]x^2 - 10x - 6 = 0[/tex]

Using the quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

a = 1

b = -10

c = -6

So, we have:

[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]

Split the roots

[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]

Express [tex]\sqrt 4[/tex] as 2

[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]

Split the fraction

[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]

[tex]x = 5 \± \sqrt{31}[/tex]

Answer:

405

Step-by-step explanation:

324 seniors is 4/5 of all seniors. To find how many 5/5 of the seniors is, we find 1/5 and multiply it by 5. Since 4/5 is 4 times 1/5, divide 324 by 4. The answer is 81, which is 1/5 of the seniors. Multiply 81 by 5 to get all 5/5. 81 * 5 is 405

Answer:

Range is [tex]-5 \le y \le 5[/tex]

Range in interval notation is  [-5, 5]

==========================================================

Explanation:

Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.

We can say the range is [tex]-5 \le y \le 5[/tex]

In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.

Answer:

8.2

Step-by-step explanation:

sin^-1 (8.2/21) is 22.984 which is pretty close to 23

Answer:

d 6/7

Step-by-step explanation:

Answer:

y = 13x

Step-by-step explanation:

gradient = 13

x = 0

y = 0

[tex]\frac{Δy}{Δx}[/tex]

so  [tex]\frac{y - 0}{x - 0}[/tex] = 13

cross multiply and you get

y = 13x

Answer:

38.0

Step-by-step explanation:

first you divide then times

Answer:

1. 1,605

2. -605

3. 21,575

Step-by-step explanation:

Answer:

1.1,605

2.-605

3.21,575

Answer:

what are the options????

Answer:

Step-by-step explanation:

well if the clown weighs 60 lbs more than the trapeze artist...

and the trapeze artist is 2/3 the weight of the clown...

then the trapeze artist must weigh 120 lbs..

and the clown must weigh 180 lbs..

i hope this was correct lol

9514 1404 393

Answer:

Step-by-step explanation:

The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:

  4×12° : 5×12° : 6×12° = 48° : 60° : 72°

Angles 1 to 3 are 48°, 60°, 72°, respectively.

Answer:

There's nothing here

Answer:

Rock art and oral history

Step-by-step explanation:

it is what it is

Answer: A&D

Step-by-step explanation:

because the first point is (x is 1,y is 13) and it fits with what your given then you move on to the next problem is (x is -2, y is 4) and it fits with what your given.

All your doing is finding the same point

p.s. sorry if i wrong

Answer:

so 4,854.47

Step-by-step explanation:

Answer:

2m+4

Step-by-step explanation:

[tex] \rm \mapsto - 6 + 3m + 2 - m + 8 \\ \rm \mapsto3m - m - 6 + 2 + 8 \\ \rm \mapsto2m + 4 \\ \rm \mapsto2(m + 4)[/tex]

Answer:

4+2m

Step-by-step explanation:

-6+3m+2-m+8

(-6+2+8)+(3m-m)

4+2m

Answer:

Half of the base multiple by the height

Answer: y = -5/8x + 6

Step-by-step explanation: The line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. The line of best fit is already given in this specific question, and we just have to figure out the equation of that line. The equation can be determined using the equation y=mx+b, where "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the slope (rise over run) is -5/8 and the y-intercept is (0,6), the equation of the line of best fit is y=-5/8x+6.

Answer:

I hope its 15/10

Step-by-step explanation:

please let me know if its wrong

Answer:

B

Step-by-step explanation:

I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60  hope this is correct and it helped and if it is not correct try C and can i get a brainliest

Answer:

([tex]\frac{5}{2}[/tex], 3)

Step-by-step explanation:

I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.

Answer:

5/2, 3

Step-by-step explanation:

that should be your answer (hopefully)

Answer:

Question 1:

(b) 4,445

Question 2:

(c) 2.1%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Question 1:

We have no previous estimate for the population proportion, so we use [tex]\pi = 0.5[/tex].

The sample size is n for which M = 0.015. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.015\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.015}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2[/tex]

[tex]n = 4268[/tex]

Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.

Question 2:

Now we find M for which [tex]n = 2222[/tex].

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.5*0.5}{2222}}[/tex]

[tex]M = 0.021[/tex]

So 2.1%, and the correct answer is given by option c.

Answer:

(a): y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

(b): Yes

Step-by-step explanation:

Given

[tex]\wedge y = 40.7 + 8.63x_1 +2.71x_1[/tex]

[tex]\wedge y = 42.0 + 9.01x_1[/tex]

Solving (a): An interpretation of x1 coefficient

We have the coefficients of x1 to be 8.63 and 9.01

Literally, the coefficient represents the average change of y-variable per unit increase of the dependent variable

Since the coefficients of x1 in both equations are positive, then that represents an increment on the y variable.

So, the interpretation is:

y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second

Solving (b): Multicollinearity

This could be the cause because x1 and x2 are related and as a result, x2 could take a part of the coefficient of x2