The sum of 15 and twice a number is -31. Find the number

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

1) Construct a probability tree (check the attachment).

1.1) Change the given items/values into fractions. In this case, there are 3 entrees, each with a probability of [tex]\frac{1}{3}[/tex] because the probability of selecting a hamburger (an example that could be applied to other options too) is 1 out of the 3 options. Likewise is the case with sides and drinks; the probability of selecting fries (or vegetable) out of the two options is [tex]\frac{1}{2}[/tex], and the probability of selecting milk (or juice) out of the two options is [tex]\frac{1}{2}[/tex].

Applying the tangent ratio, the tangents of the acute angles in the right triangle are:

tan J = 5/3

tan K = 3/5

The tangent ratio is used to find the tangents of an angle in a right triangle, or any of the legs. It is given as tan ∅ = opposite/adjacent.

Applying the tangents ratio:

tan J = opp/adj = 5/3

tan K = opp/adj = 3/5

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Assuming that no transaction happens in her account for those 2 years, the amount that Brooke will have in 2 years for given case is $8.47

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We're specified that:

Thus, we get the final amount's value (after 2 years of compounding) for this case as :

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 7(1 + 0.10)^2 = 7 \times (1.1)^2 = 7 \times 1.21 = 8.47 \: (\rm in \: dollars)[/tex]

Thus, assuming that no transaction happens in her account for those 2 years, the amount that Brooke will have in 2 years for given case is $8.47

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Answer:

Step-by-step explanation:

f(x) = - 4x - 2

g(x) = - x - 2

y-intercept is common point for both equations ( 0 , - 2 )

Answer:

6(3x−4y)

Step-by-step explanation:

Maybe ur just not seeing the negative comment on this and tell me which way u are solving it and then i can help.

The height of the ball is 10.053 approx. when it is 13 feet from the free throw line .

The physics aspect of shooting a free throw involves distance and deviation. Distance is determined by two factors: launch angle and launch speed. Players have a choice between shooting for a larger target by using more arc or going for a shooter's touch and shooting with their ideal arc for their height.

According to the question

A basketball player shoots a free throw, where the position of the ball is modeled

x = (24cos 48°)t

y =  6.1 + (24sin 48°)t − [tex]16t^{2}[/tex]

now

13 feet from the free throw line

x = 13 feet (horizontal distance)

x = (24cos 48°)t

(24cos 48°)t = 13

t ≈ 0.8059

putting values in y to get the vertical height

y =  6.1 + (24sin 48°)t − [tex]16t^{2}[/tex]

y =  6.1 + (24sin 48°)*0.8059 − [tex]16*( 0.8059)^{2}[/tex]

y ≈ 10.053

Hence, the height of the ball is 10.053 approx.

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Applying the sine ratio, the length of segment SV (opposite side) in the right triangle is: D. 13/√2

The sine ratio is used to solve a right triangle which is, sin θ = opp/hyp.

Given the following:

SU = 13 (hypotenuse)

θ = 45

SV = ? (opposite)

Note: sine 45 = 1/√2

Applying the sine ratio, we have:

sin 45 = SV/13

SV = sin 45 × 13

SV = 1/√2 × 13

SV = 13/√2

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Answer:

Step-by-step explanation:

Created Sequences

S1: 10 20 40 80 150

s2:24 20

The first term that appears in both sequences is the second term. Both of them equal 20.

I don't think you have to go any further once you get the first term.

Method

S1: Multiply by 2 starting with 10.

10*2 = 20

20*2 = 40

S2: Start at 24 and subtract 4

24 - 4 = 20

20 - 4 = 16

16 - 4 =  12

Answer:

I think the difference is girls with longer hair look more attractive.

Step-by-step explanation:

Need the diagram....

3.8/24 is 0.1407

to get to a percentage you x100

so the answer is 14.07%

well, we know they won 60% of the games, meaning 100% - 60% = 40%, they lost 40% of the games, and we also know that that number is 12.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 12\\ 60& x \end{array} \implies \cfrac{40}{60}=\cfrac{12}{x}\implies \cfrac{2}{3}=\cfrac{12}{x} \\\\\\ 2x=36\implies x=\cfrac{36}{2}\implies x=18[/tex]

Answer:

Step-by-step explanation:

Answer:

Part B : 42

Part C : 7

Step-by-step explanation:

After putting in the coordinate points the width of the rectangle is 7 units and the length is 6 units. 7*6 =42. Half of this is the area of the triangle, that is 21. Further , 1/3 of 21 is the same as 21 divided by 3, which equals 7.

Answer:

710

Step-by-step explanation:

Numeration of pages goes from 1.

9 pages with 1-digit numbers, from 1 to 9.

90 pages with 2-digit numbers, from 10 to 99.

So,  2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.

The rest of numbers are 3-digit.

2022-189/3 = 611  pages with 3-digit numbers.

Total pages = 9 + 90 + 611 = 710.

The number the pages of a book,2022 digits are used there are 8880 pages in the book.

Let's assume there are "x" pages in the book. Each page number requires a certain number of digits to represent. The number of digits required to represent a page number depends on the value of the page number itself.

For example:

Page numbers from 1 to 9 require 1 digit each.

Page numbers from 10 to 99 require 2 digits each.

Page numbers from 100 to 999 require 3 digits each.

And so on.

Since we're given that 2022 digits are used in total, we can set up an equation based on the above observations:

Number of 1-digit page numbers + Number of 2-digit page numbers + Number of 3-digit page numbers + ... = 2022

Now let's solve this equation to find the number of pages:

Number of 1-digit page numbers = 9 (from 1 to 9)

Number of 2-digit page numbers = 90 - 10 + 1 = 81 (from 10 to 99)

Number of 3-digit page numbers = 900 - 100 + 1 = 801 (from 100 to 999)

Substituting these values into the equation:

9 + 81 + 801 + ... = 2022

Now we need to find the number of terms in this sequence. Each term corresponds to a certain number of digits, and we want to find the smallest number of digits that will exceed 2022. We can try different numbers of digits until we find the correct one:

Number of 4-digit page numbers = 9000 - 1000 + 1 = 8001

Adding the terms up:

9 + 81 + 801 + 8001 = 8880

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Answer:

A

Step-by-step explanation:

This is because 6f+f is just 7f.

f f f f f f+f = fffffff

Soooo, ONLY A gives us 7f when added together again.

f+5f+f=7f.

f+ f f f f f +f = fffffff

Answer:

[tex]f + 5f + f[/tex] is equivalent to [tex]6f + f[/tex].

Step-by-step explanation:

You can plug in any numbers to both expressions and they will always have the same outcome.

For example, let's plug in 2.

[tex]6f + f\\6(2) + 2\\12 + 2 = 14[/tex]

[tex]f + 5f + f\\2 + 5(2) + 2\\2+10+2 = 14[/tex]

Hope this helps! :)

Answer:

[tex]\displaystyle [x - 3]^2 + [y + 4]^2 = 9[/tex]

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle [x - h]^2 + [y - k]^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle [h, k].[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.

I am joyous to assist you at any time.

Answer:

280 Square Inches

Step-by-step explanation:

This problem is formatted quited weirdley, but Im giving my best hand forward to solve it.

We are given 2 rectangular fingures, and we need to figure out the total area Tara requires for her project.

When approaching these problems I preferably like to form equations.

Area of Rectangle 1 + Area of Rectangle 2 = Total Area

Now we plug in the values

(15x12) + (10x10) = T

180 + 100 = T
280 = T

The equation that represent the amount in the account after t years is A = 100(1.06)^t

This is an interest on an amount of money. The formula for calculating the compound interest is expressed as;

A = P(1 + r)^t

P is the principal = 100

r is the rate = 6% = 0.06

If the interest is compounded annually, the equation that represent the amount in the account after t years is given a:

A = 100(1+0.06)^t
A = 100(1.06)^t

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Answer:

112.36

Step-by-step explanation:

I took the test on IXL and this was the question.

Andy has $100 in an account. The interest rate is 6% compounded annually.

To the nearest cent, how much will he have in 2 years?

Answer:

B. 75

Step-by-step explanation:

Note that we can get the equation [tex]45 = 60\% \cdot x[/tex], where x is the total number of m&m's eaten. This becomes [tex]45 = \frac{60}{100}x \Rightarrow 45 = \frac{3}{5}x \Rightarrow x = 75[/tex]

Answer:

Hello there buddy I’m here too help you with your homework

Your answer is

110°

Hope it’s helps you buddy

Have a nice day

Good luck with your homework

Step-by-step explanation:

~FluffyZaynBerry

Answer:

B, because when you square 6 you get 36.

Answer:

A. 31/100

Step-by-step explanation:

Change 3/10 to hundreds:

3/10 × 10/10 = 30/100

The denominator (the bottom number) must be 100.

61 - 30 is 31.

The missing number is 31/100. See image.

Answer:

See below ~

Step-by-step explanation:

Finding the common ratio (r)

First term (a₁)

Answer:

Katie has successfully completed 7/8 of her report

Answer:

32768

Step-by-step explanation:

calculator. Brainly deleted my last answer when i did the step by step.

Answer:

[tex](\frac{55}{2} ,\frac{37}{2} )[/tex]

Step-by-step explanation:

We have to solve this system of equations in order to find the numbers :

Let x be greater number and y be the smaller one :

[tex]\begin{cases}x-y=9\ \ \ (1)&\\ x+y=46\ \ \ (2)&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=x-9\ \ \ (1)&\\ 2x=9+46=55\ \ \ (1)+(2)&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}y=\frac{55}{2} -9=\frac{37}{2} &\\ x=\frac{55}{2}&\end{cases}[/tex]

Answer:

Step-by-step explanation:

It looks like the solution is the first set of data

{1, 4, 6, 10, 12, 14, 19, 20, 25 }

because: median is 12, Q1 is 6, Q3 is 19, yet the range is from 1 to 25 while the range of the box and whisker plot is 1 to 24.

So theoretically none of those sets represents the box plot.

[Hello, blueface1728]

Answer:

[D] −6 < x < 9

Step-by-step explanation:

So, if a < u <b then a < u and u <b

-7 < x - 1 and x -1 < 8

Solving

-7 < x - 1  = x > -6

x - 1 < 8 = x < 9

Combine the intervals

-6 < x < 9

Now looking at the answer choice :

6 < x < 9

−6 > x > 9

6 > x > −9

−6 < x < 9

Thus, the answer is [D] −6 < x < 9

Kavinsky