You are taking a trip at the same time as another
family. Your family traveled 1,900 miles in 2 days,
their family traveled 2,700 miles in 3 days. Who is
traveling faster?

well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]

now let's apply as 12% tax on that sale amount

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]

Answer:

[tex]\boxed{\sf{2b+3}}[/tex]

Step-by-step explanation:

In order to solve this problem, first you need to simplify the expression to use a distributive property.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

5+2b-2

Switch sides.

2b+5-2

Combine like terms.

You have to subtract by the numbers from left to right.

Solve.

5-2=3

2b+3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

1/4; 25%

Step-by-step explanation:

if a year has four seasons we can say that there are 4 possibilities

spring appears once

this means that the probability that a day chosen at random will be in spring would be 1 out of 4

or 25%

Answer:

40

Step-by-step explanation:

the easiest way to solve this equation is to divide 10 by .25 since, in this situation, all that is being bought are stickers

10/.25=40

hope this helps

Answer:

  B.  (15, 19)

Step-by-step explanation:

To check to see if a particular ordered pair is a solution to an equation, use the values for the variables and see if the equation is true.

A. 4/5(0) +7 = 7 ≠ 1

B. 4/5(15) +7 = 19 . . . . . . is a solution

C. 4/5(-5) +7 = 3 ≠ 11

D. 4/5(-2) +7 = 27/5 ≠ 1

__

A calculator can help with this.

Answer:

  360 inches

Step-by-step explanation:

Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.

  30 × (12 inches) = 360 inches

The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have a right-angle triangle in the figure in which:

Length of the hypotenuse = x unit

Length of the side opposite to the angle = 12

And the angle is given between sides adjacent to the angle to the hypotenuse = 24°

We know the:

[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]

[tex]\rm sin24 = \frac{12}{x}[/tex]

[tex]\rm x = \frac{12}{sin24}[/tex]

x = 29.50 units

Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

Know more about trigonometry here:

brainly.com/question/26719838

Answer: y = x + 6

Step-by-step explanation:

[tex]\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)[/tex]

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}[/tex]

[tex]m=-1[/tex]

[tex]\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}[/tex]

[tex]\left(-1\right)m_p=-1[/tex]

[tex]\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}[/tex]

[tex]m_p=1[/tex]

[tex]\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)[/tex][tex]\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b[/tex]

[tex]y=x+b[/tex]

[tex]\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4[/tex]

[tex]4=\left(-2\right)+b[/tex]

[tex]-2+b=4[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]-2+b+2=4+2[/tex]

[tex]\text{Simplify}[/tex]

[tex]b=6[/tex]

[tex]\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6[/tex]

[tex]y=x+6[/tex]

Answer:

f^12

Step-by-step explanation:

f^4  * f^8

We that a^b * a^c = a^(b+c)

f^(4+8)

f^12

Hello!

We have the following expression:

[tex]\bf{f^4*f^8}[/tex]

Recall the Properties of Exponents:

[tex]\bold{a^ma^n=a^{m+n}}[/tex]

According to the property, if we have the same bases multiplied together, then we just add their exponents:

[tex]\bf{f^4f^8=f^{4+8}}[/tex]

Simplify:

[tex]\bf{f^{12}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

[tex]\rule{2}{2}[/tex]Knowledge is Power!

Answer:

The number 3,822 is divisible by 3 and is not divisible by 9, because the sum of the digits is 3 + 8 + 2 + 2, which equals 15, and 15 is divisible by 3 but not by 9.

Answer:

x=3

Step-by-step explanation:

4(x-2)=4.         divide both sides by 4

x-2=1.               add 2 to both sides

x=3

Answer:

2(x-4)

Step-by-step explanation:

* means multiplied by

2 is multiplied by the difference of a number and 4

multiplied by separates

2 AND "by the difference of a number and 4"

"by the difference of a number and 4" is in a parenthesis

"a number" means x

"the difference" means minus or -

2 is multiplied by the difference of a number and 4 =

2 * (x-4) =

2(x-4)

in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]

The vertices of the hyperbola are the x-intercepts of the hyperbola

The equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

The equation of a hyperbola is represented as:

[tex]\frac{(y - k)^2}{a^2} -\frac{(x - h)^2}{b^2} = 1[/tex]

The vertices are (20,0) and (-20,0).

So, the center of the hyperbola is:

(h,k) = (0,0).

Also, we have:

a = 20

This gives

[tex]\frac{(y - 0)^2}{a^2} -\frac{(x - 0)^2}{b^2} = 1[/tex]

Evaluate

[tex]\frac{y^2}{a^2} -\frac{x^2}{b^2} = 1[/tex]

Substitute 20 for a

[tex]\frac{y^2}{20^2} -\frac{x^2}{b^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{b^2} = 1[/tex]

The length of the conjugate axis is:

l = 18 units

So, we have:

[tex]b = \frac{18}2 = 9[/tex]

The equation becomes:

[tex]\frac{y^2}{400} -\frac{x^2}{9^2} = 1[/tex]

[tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Hence, the equation of the hyperbola is [tex]\frac{y^2}{400} -\frac{x^2}{81} = 1[/tex]

Read more about hyperbola at:

https://brainly.com/question/26250569

Answer:

[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]

The first one: 3

The second one: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

To find the common numerator, you can multiply by 3 on both the numerator and denominator.

Answer:

G

Step-by-step explanation:

The answer is statement G

Answer:

2.5

Step-by-step explanation:

Let M and P stand for the money that Mike(M) and Pete(P) have.

We discover that M + P = $84.00

We also find that M = $24.00

This means that :

M + P = $84.00

$24.00 + P = $84.00

P = $60.00

The ratio of P to M is ($60.00/$24.00) or 2.5   (P/M - 2.5)

Answer:

8.60 inches

Step-by-step explanation:

The equation for circumference is 2πr. So we can solve for r (radius).

27inches=2πr

divide both sides by 2π :

r=4.299

The equation for diameter is 2*r so we just multiply

4.299 *2 = 8.598

since we have to round to the hundredth place the answer would be

8.60

The approximate diameter of the circular clock is 8.60 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given that,

Circumference of the clock = 27 inches

The formula to find the circumference is,

C = 2πr

where r is the radius.

2r is the diameter.

2πr = 27

2r = 27 / 3.14

2r = 8.5987 ≈ 8.60

Hence the diameter of the clock is 8.60 inches.

Learn more about Circumference here :

https://brainly.com/question/17009295

#SPJ2

Answer:

120

Step-by-step explanation:

we go add 3+1=4 and then 4×3=12 and then 12×10=120

Answer:

It’s irrational hope this is correct

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Convert both to decimals

[tex]\\ \rm\Rrightarrow x=0.147147\dots [/tex]

[tex]\\ \rm\Rrightarrow 1000x=147.147..[/tex]

Hence..

On similar way we can get second one

So if

Then

Step-by-step explanation:

is this what you were looking for?

Answer:

=0

Step-by-step explanation:becase I got it right on a test

Answer: Amia is correct

Step-by-step explanation:

the total bill would be $46.82

0.625

Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.

Dividing 5/8, It's Equal To 0.625

Step-by-step explanation:

5/8 = O.625

Answer: Heyo! ;D

I think I know how to solve this...

Let me know it this helps out in any way. :D

Median: "To find the median, first you need to list them in order from least to greatest:"

38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129

"Now, you count starting from both ends and count to the middle. In this case, 51 and 72 are both the medians. However, there can be only one remaining median. So, what we do is add 51 to 72, then divide the sum by 2 to end with the correct median:"

72 + 51 = 123

123 / 2 = 61.5

Outliers: "All are in a pattern, beside the one number that stands out as the outlier in the given list of numbers. 129 is the only number that isn't in sync with the pattern, hence meaning this is the outlier in the sequence of numbers above."

~Artastic~

Answer:

2:4

Step-by-step explanation: Subtract 1 from total amount then find the number of girls I think sorry

Answer

The population of the city in 24 years will

be approximately 2,024,467.3206337208

What is the population in 24 years?

The formula for calculating future value:

Population:- 2,024,466