Stefan sells Jin a bicycle for ​$176 and a helmet for ​$16. The total cost for Jin is ​160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answer:

b.12

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    [tex]S = (n - 2)180[/tex]

S is the sum of all interior angle measures

n is the number of sides of the polygon

2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> [tex]S = (7-2)180[/tex]

---> (7-2) is 5 since 7 - 2 = 5 so --> [tex]S = 5(180)[/tex]

---> 5(180) is the same as 5 x 180 which is 900 so --> [tex]S = 900[/tex]

This means that the sum of all interior angles is 900 degrees.

3) Now, we have to find out the sum of all the angles that they gave us so:

---> [tex]10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 900[/tex]

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

4) We have to combine all like terms on the left side:

---> [tex]10x + 10x + 9x + 12x + 10x = 51x[/tex]

---> [tex]9 + 133 + 14 -9+5+136 = 288[/tex]    

5) This means that ---> [tex]51x + 288 = 900[/tex]

Subtract 288 from both sides  and get:

---> [tex]51x = 612[/tex]    (900-288 = 612)

Then divide by 51 from both sides and get:

---> [tex]x = 12[/tex]     (612 ÷ 51 = 12)

Therefore b.12 is your answer.

Hope you understood and have a nice day!! :D

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres

Step-by-step explanation:

the answer would be

4

2

1

3

5

Answer:

to emphasize that the United States was founded to secure the rights of everyone

to highlight that each individual state should get to decide who is allowed to vote

Step-by-step explanation:

Answer:

never

Step-by-step explanation:

:))

Answer:

i think answer is never

Step-by-step explanation:

never

Answer:

box 1 =30 box 2= 60

Step-by-step explanation:

box 1 = 5 times 3 times 2 = 30

box2 = 5 times 3 times 4 = 60

Answer:

30 + 60=90 or 90 Cubic feet

Step-by-step explanation:

Box 1:

V= (3)(5)(2)

V= 30

Box 2:

V= (3)(5)(4)

V= 60

Step-by-step explanation:

it will 2.5 this is right answer option D

The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a sequence:

12, 30, 75, 187.5

The above sequence is a geometric sequence.

The common ratio can be calculated:

r = 30/12 = 75/30

r  = 2.5

Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.

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Answer: 63

Step-by-step explanation:

Add the two numbers you have then subtract from 180 because a triangle is 180 degrees

Answer:

pov: im getting free points

Step-by-step explanation:

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

Answer:

That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

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Answer:

y-intercept = 1

Slope = 4

Step-by-step explanation:

First, we know that the point-slope equation of a line is given as y = mx + b. Where,

m is the slope, and

b is the y-intercept.

Now let's use this knowledge to solve the given problem.

✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?

Our answer is "1".

y-intercept = 1

✔️Slope of y = 4x - 3:

The slope (m) in this equation is 4.

Answer:

the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 46 bottles are randomly selected, find the probability that the mean content is

- Less than 102.1 mL. (Draw the bell curve)

Between 99 mL and 102.1 mL

5.) Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and standard deviation . assume the population is normally distributed

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180°      where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:

y = -4x - 3

Step-by-step explanation:

The b in the slope-intercept equation represents the y-intercept.

The line crosses the y-axis at (0,-3). Therefore, b = -3.

Since the line is decreasing from left to right, the slope will be negative.

From (0,-3) to the next point on the line is down 4 units and to the right 1 unit.

The slope will be -4/1 or -4.

Therefore, the equation of the line will be y = -4x - 3.

Hope that helps.

Answer:

c. 12x

Step-by-step explanation:

Answer:

$98.07

Step-by-step explanation:

Divide 237 by 290 to get the unit price of each meatball

237 / 290 = 0.8172413793

Multiply 0.8172413793 by 120 to get the total cost to make the meatballs

0.8172413793 * 120 = 98.068965516

Round that number to the nearest hundredth

Answer: $98.07

Answer:

Ice cream is 8.98

Step-by-step explanation:

9514 1404 393

Answer:

  $425

Step-by-step explanation:

After the decrease, the sale price is 100% -15% = 85% of the original price. Of course, the markdown is 15% of the original price. Then the ratio of sale price to markdown is ...

  (sale price)/(markdown) = (85%)/(15%)

  sale price = markdown × 85/15 . . . . . multiply by markdown

  sale price = $75 × 85/15 = $425

The sale price of the x-box is $425.

Step-by-step explanation:

speed = distance/time

= 6/12 m/s

= 0.5 m/s

Answer:

0.5m/s

Step-by-step explanation:

Formula for speed is distance /time taken

which is 6m/12s,which Is then equal to0.5m/s

Answer:

what subject?

Step-by-step explanation:

The measure of <MNT = 142.17

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

PR= 6+ 4= 10 unit

So, using trigonometry

tan 25 = PT/ PR

0.466 = PT / 10

PT= 4.66 unit

Now, In ΔNPT

tan <TNP = P/ B

tan <TNP =  4.66/6

tan <TNP = 0.7766

<TNP = 37.83

Now, <MNT + <TNP = 180 {Linear pair}

<MNT = 142.17

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Answer:

D

Step-by-step explanation:

The distribution is approximately normal, and the mean is 0.46.

Answer: A

Step-by-step explanation:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Answer:

The other person is correct

Step-by-step explanation:

i got a 100

Answer:

A=1, B=1

Step-by-step explanation:

Equation of the line in intercept form

The intercept form of the equation of a line is:

[tex]\displaystyle \frac{x}{h}+\frac{y}{k}=1[/tex]

Where:

h = x-intercept

k = y-intercept

We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:

[tex]\displaystyle \frac{x}{8}+\frac{y}{8}=1[/tex]

Multiplying by 8:

x + y = 8

Thus, the values of A and B are:

A=1, B=1

Answer:

Replace x with −x and y with −y

to check if there is the x-axis, y-axis, or origin symmetry.

Not symmetric to the x-axis

Not symmetric to the y-axis

Not symmetric to the origin

but

Find the axis of symmetry-

x=1

Step-by-step explanation:

One minute contains 60 seconds. The half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.

A minute can be expressed in terms of seconds by the relation:

[tex]1 \: \rm min. = 60 \: \rm sec.[/tex]

9 minutes = [tex]9 \times 60 = 540 \: \rm sec.[/tex]

Thus, 9 mintues and 28 seconds = 540 + 28 = 568 seconds.

Its half would be:

[tex]\dfrac{568}{2} = 284 \: \rm sec.[/tex]

Dividing it by 60 to convert it back to minute and second form, we get:

Quotient = 4, remainder = 44

The remainder is still not divided by 60, so its in minutes.

But the quotient is the divided part of 284 by 60, so its in minutes.

Thus, 284 seconds = 4 mintues + 44 seconds.

Thus, the half of 9 minutes and 28 seconds in time is 4 minutes and 44 seconds.

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