Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?

Answer:A

Step-by-step explanation:

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x

Answer:

No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

9-3/ 1/3 +1= 1

Step-by-step explanation:

PEMDAS

Answer:

x=-13

Step-by-step explanation:

Subtract 22 from both sides.

-5x=67-2

Simplify  67-2 to  65.

-5x=65  

3 Divide both sides by -5.

[tex]x=-\frac{65}{5}[/tex]

​

Simplify [tex]\frac{65}{5}[/tex] to 13.

x=−13

Answer:

answer is <

Step-by-step explanation:

first equation is equal to 6 and the other is equal to 7

I believe the answer would be... x= 130/17  for  34(x-8)=-12

I am really sorry, but I am not sure how to answer the rest

Hoped I helped with the first part of it!

Have a great day/night!

Answer:

The answer is 22/3

Step-by-step explanation: I got it right

Answer:

Step-by-step explanation:

Answer:

What grade are you my brother is good at this stuff

Answer:

D

Step-by-step explanation:

My gut tells me D because I don't understand your language

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

Answer:

I hope this helps.

Answer:

Step-by-step explanation:

last answer

Answer:

y = -4x + 9

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

90/3=30

30×2=60.

60° internally in a triangle.

Answer:

number 2 or 4 but i think 2

Step-by-step explanation:

Answer:

(1,5)

Step-by-step explanation:

y = 4x+1

y = 2x+3

Set the two equations equal

4x+1 = 2x+3

Subtract 2x from each side

4x+1-2x = 2x+3-2x

2x+1 = 3

Subtract 1 from each side

2x+1-1 =3-1

2x=2

Divide by 2

2x/2 =2/2

x =1

Now find y

y =4x+1 = 4(1)+1 =4+1=5

(1,5)

1) The mathematical statements in Set A are linear equations (there's the equal to [=] symbol). The mathematical statements in Set B are linear inequalities (there are inequality signs like <, > etc).

2) Set A (=)

3) Set B (<, > etc.)

_______

Hope it helps ⚜ :))

Answer:

hey, can you tell the question again? I've a prob in x, is it a variable or multiplication sign? just lmk this, I think I'm able to do it

Answer:

x=-5;-3;2

Step-by-step explanation:

all the details are in the attached picture (the answers are marked with red colour).

1) to determine the possible roots;

2) to check the possible roots, then to stop when the first one is found (it is 2);

3) to perform division of polynoms, then to re-write the given equation in comfortable form;

4) to calculate other roots.

Note, the suggested solution is not the shortest way and not the only one.

P.S. make the design according local requirements.

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

Find out more at https://brainly.com/question/12256592.

Answer:

angle 1 = 45° because vertical angles

angle 2 = 135° because supplementary angles

Step-by-step explanation:

∠1 = ∠a, ∠a = 45°

∠2 + ∠a (45°) = 180°

180° - 45° = 135°

Answer:

Angle 1= 45 degrees, angel 2= 135

Step-by-step explanation:

you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135

[tex]\text{Given that ,}\\\\f(x) = 4x+3\\\\g(x) = x^2 -3\\\\g(4) = 4^2 - 3 = 16-3=13\\\\f (g(4)) = f(13) = 4\times 13 + 3 = 55[/tex]

Answer:

option d

Step-by-step explanation:

7:3 is the same as 28:12 which means that m is 28

Answer:

b

Step-by-step explanation: i’m that guy

Answer:

[tex] \frac{43}{100} \times 27 = \frac{1161}{100} = 11.61[/tex]

[tex]11.61 \: is \: the \: ans[/tex]

Answer:

11.61

Step-by-step explanation:

% means 100

so we have 43/100

of means multiplication X 27

so we have 43/100x27

and the answer is 11.61

if you want to approximate it is 12

Answer: 180

Step-by-step explanation:

This is just testing if you know the sum of cubes formula:

[tex]a^3 + b^3 = (a+b)(a^2 - ab + b^2) = (a+b)((a+b)^2 - 3ab)[/tex]

Plugging in the respective values, you get

[tex]a^3 + b^3 = (6)(6^2 - 3(2)) = \boxed{180}[/tex]

Answer:

25 and 100 I think

Step-by-step explanation:

because the line is between the 20 and the 30 so it its 25

Answer:

what is the radius of 2

Step-by-step explanation:

Subtraction is a mathematical operation that reflects the removal of things from a collection. The least possible height of the mont blanc is 4800 meters.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given the height of mont blanc is 4810 m correct to the nearest 10 meters. Therefore, the least possible height of the mont blanc can be written as,

Least height = 4810m - 10m = 4,800 meters

Hence, the least possible height of the mont blanc is 4800 meters.

Learn more about Subtraction:

https://brainly.com/question/1927340

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Answer:

inverse functions is when the x and y coordinates are interchanged

Step-by-step explanation:

(1,2) and (2,1) are inverse functions. in other words they are flipped at the y=x line