Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?

Answer:

Step-by-step explanation:

A "shaded area" problem can be worked by directly computing the area of the shaded shape, or by decomposing the figure in a convenient way. Here the overall square can be decomposed into unshaded triangles and a shaded square. The triangles have dimensions given, but the smaller square does not. Work must necessarily proceed from given dimensions to arrive at the values associated with dimensions not given.

For a problem like this, working the last question first can make it easier.

The total area is the area of a square 6+3 = 9 units on a side. Its area is ...

  Total area = s² = (9 units)² = 81 units²

__

The area of each of the four non-shaded triangles is ...

  A = 1/2bh = 1/2(6 units)(3 units) = 9 units²

There are 4 triangles with that area that are not shaded, so ...

  Non-shaded region = 4 × (9 units²) = 36 units²

__

The shaded region is that portion of the total area that is not Non-shaded. Its area will be the difference ...

  Shaded area = Total area - Non-shaded area

  Shaded area = 81 units² -36 units² = 45 units²

Answer:

[tex]surface \: area \: ofa \: cube \: \\ area = \: 6 {a}^{2} \\ 6( {3}^{2} ) \\ 6(9) = 54[/tex]

Answer:

mathematical represents alot of stuff in the really world

The number of cubes that will fit into the shoebox is 40 cubes

Volume is the measure of a substance an object contains

Volume of the box = length * width * height

Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit

Determine the volume of the box

Volume of the box = l³

Volume of the box = (1/4)³ = 1/64 cubic units

Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes

Hence the number of cubes that will fit into the shoebox is 40 cubes

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Answer:

ezz multiply and see what it s if its wrong then txt me

Step-by-step explanation:

Answer:

10.50$

Step-by-step explanation:

3 dollars a pound

3x3=9

half a pound, half the price which is 1.50$

9+1.50= 10.50

Answer:

$10.465 ≈ $10.47

Step-by-step explanation:

3.5 lb of strawberries * $2.99/lb of strawberries = $10.465 ≈ $10.47

Please mark as brainliest.

Answer:

  -5 = log₄(0.0009765625)

  4 = log₄(256)

Step-by-step explanation:

Apparently, you want to express a number as a logarithm. That is, you want to find y for some value of x such that ...

  x = log₄(y)

Taking antilogs, this is ...

  y = 4^x

__

For x =-5, the log expression would be ...

  y = 4^-5 = 0.0009765625

  log₄(0.0009765625) = -5

__

For x = 4, the log expression would be ...

  y = 4^4 = 256

  log₄(256) = 4

Answer:

Step-by-step explanation:

4+(7-5)2= 8 I guess

Answer:

56 + 5xx < 65

xx < 1.8

Step-by-step explanation:

56 + 5xx < 65

subtract 56 on both sides

56 + 5xx < 65

-56 -56

5xx < 9

divide by 5 on both sides

5xx/5 < 9/5

xx < 1.8 gigabytes

Answer:

f(5)=26

Step-by-step explanation:

hello :

f(n)=f(n-1)+4   means :  f(n)-f(n-1)=4  (comon diference for arithm - sequence)

so : f(n) =f(1)+(n-1)×4

f(n) =10+(n-1)×4

f(n) = 4n+6

f(5) = 4(5)+6 =26

Answer:

Choice D.

Outlier

[tex]\frac{x}{y}[/tex]Answer:

Step-by-step explanation:

algebraic thingking: (going from up to down)

1. 30 2. 28 3. 9 4. 20

base ten numbers(up to down)

1. 4.6  2. 46  3.  460 4. 4600

( when your multilplying decimals with multiples of ten or numbers that end in ten... then the decimals movies however many spaces to the RIGHT, depending on how many zeros:)

1. 1 [tex]\frac{1}{2}[/tex] 2. 3 [tex]\frac{1}{3\\}[/tex]

measurment and data

take a better picture of the number line because i cant see the numbres on it:(

geometery

1. Yes, since the sum of angles of a triangle is 180 degrees. If there are two right angles in a triangle then the third angle will be zero degrees, which is quite impossible hence this will not form a triangular shape. This will negate the properties of a triangle.

2.  No, not always.

Square is a specific form of a parallelogram when all the sides are equal & each interior angle of a parallelogram is a right angle.

Answer:

C

Step-by-step explanation:

4

_

2 can be multiple by 3 and that will be same as 12

_

6

Answer: Parallel

Step-by-step explanation:

Answer:

k= -5

Step-by-step explanation:

The equation for slope is rise over run which is also (y2-y1)/(x2-x1)

with the given coordinate being (x,y)

So, we just plug the given values into the equation in order to solve for k.

(9-k)/(-6-1)= -2

First let's simplify the denominator:

(9-k)/(-7)= -2

then we get rid of the denominator by multiplying it on both sides:

(9-k)= (-7)*(-2)

(9-k) = 14

-k = 5

k=-5

Answer:

Step-by-step explanation:

(1,-4) m=2

first find c

-4=2×1+c

c=-6

y=2x+-6

If Mr. Goldsman runs for one and a half hours, Kirby runs for 37 minutes 30 seconds.

The first step is to determine how many minutes kirby would run for every minute Mr Goldsman runs

Rate = 5/12

The second step is to multiply the rate by the minutes run by Mr Goldsman.

5/12 x 90 = 37.5

= 37 minutes 30 seconds

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Answer:

2 for 25

Step-by-step explanation:

all you have to do is divide money by the number of items.

Answer:

C

Step-by-step explanation:

Volume = bhd

Volume = (x + 3)(x + 8)(x²)

start with (x + 3) and (x + 8), factor:

x² + 8x + 3x + 24

x² + 11x + 24

now bring x² back:

(x² + 11x + 24)(x²)

x⁴ + 11x³ + 24x²

Answer:

6/19

Step-by-step explanation:

2+4+7+6=19

dose not have an a=6

6/19

Answer:

diameter is twice the radius ( when given)

Answer:

J

Step-by-step explanation:

Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.

[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]

Let the length of the ramp be x.

[tex] \sin5° = \frac{3}{x} [/tex]

Multiply x on both sides:

x(sin5°)= 3

[tex]x = \frac{3}{ \sin5°} [/tex]

x= 34.4 (3 s.f.)

Thus, the length of the ramp is 34 ft. (nearest foot)

Based on the formula given of 27π = πn, we can find the value of n after substitution in an equation to be 27.

The value of n can be found by making n the subject of the formula as shown below;

27π = πn

n = 27π / π

Solving of n therefore gives:

n = 27π/π

n = 27

In conclusion, n is 27.

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Answer:

Step-by-step explanation:

a^2 - 5bc - 1

a = 7

b = 3

c = 2

7^2 - 5*3*2 - 1

49 - 30 - 1

18

Answer:

Step-by-step explanation:

Answer:

$1,689.

Step-by-step explanation:

Answer:

If this is compound interest and it is compouned annually,the answer is $1,685.91

If this is simple interest, the answer is $1,632.00

Step-by-step explanation:

Equation for compound interest.

[tex]A=P(1+\frac{r}{n})^{n*t}[/tex]

[tex]A=1200(1+\frac{0.12}{1})^{1*3}[/tex]

[tex]A=1685.91[/tex]

Equation for simple interest.

[tex]A=P(1+r*t)[/tex]

[tex]A=1200(1+0.08*3)[/tex]

[tex]A=1632.00[/tex]

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]