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:

-9 is the answer for 3^-2

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume width of rectangle x m and length of rectangle be 3x m. To calculate the dimensions of the rectangle we will use the formula of Perimeter of the rectangle

Perimeter of rectangle = 2(L + B)

Substituting the required values:

→ 168 = 2(3x + x)

→ 168 = 2(4x)

→ 168/2 = 4x

→ 84 = 4x

→ 84/4 = x

→ 21 = x

Hence,

Answer:

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Step-by-step explanation :

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As, it is given that, the perimeter of a rectangle is 168 m and its length is five times its width and we are to find the length and width of the rectangle. So,

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Let us assume the width of the rectangle as w metre and therefore, the length will be 5w metre .

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Now, According to the Question :

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[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{2 (5 w + w )= 168 }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{2 (6 w )= 168 }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{12 w = 168 }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf \: w = \dfrac{168}{12} }}}[/tex]

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[tex]{\longrightarrow \qquad { \underline{ \boxed{ \pmb {\frak{ w = 14 }}}}}} \: \: \bigstar[/tex]

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Therefore,

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Now, we are to find the length of the rectangle :

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[tex]{\longrightarrow \qquad { { { \pmb {\frak{ Length = 5w }}}}}} \: \: [/tex]

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[tex]{\longrightarrow \qquad { { { \pmb {\frak{ Length = 5 \times 14 }}}}}} \: \: [/tex]

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[tex]{\longrightarrow \qquad { \underline{ \boxed{ \pmb {\frak{ Length = 70 }}}}}} \: \: \bigstar[/tex]

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Therefore,

The solution to the system of equations is (-3, -5) because the point satisfies both equations

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

Line A:

y = x − 2  (1)

Line B:

y = 3x + 4   (2)

Solving both equations simultaneously gives:

x = -3, y = -5

The solution to the system of equations is (-3, -5) because the point satisfies both equations

Find out more on linear function at: https://brainly.com/question/4025726

Answer:

Jim travelled 246 Miles.

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

i believe this is the answer

Step-by-step explanation:

First box =25

Second Box = 0.25

Answer:

basic geometry and trig ratios

Step-by-step explanation:

sin 10 = 500/x

x = 500/sin 10

x = 2 879,4 m

The Laplace transform of f(t) = cos² t is equal to the following expression: [tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex].

In this we need to rewrite the given function in terms of sines and cosines, whose Laplace transforms are well known. There is the following trigonometric formula:

[tex]\cos ^{2} t = \frac{1-\cos 2t}{2}[/tex]   (1)

Now we proceed to apply the Laplace transforms:

[tex]\mathcal {L} \{f(t)\} = \frac{1}{2}\cdot \mathcal {L} \left\{1 \right\}-\frac{1}{2}\cdot \mathcal {L}\left\{\cos 2t\right\}[/tex]

[tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex]

The Laplace transform of f(t) = cos² t is equal to the following expression: [tex]\mathcal {L} \{\cos^{2} t\} = \frac{1}{2\cdot s} - \frac{s}{2\cdot (s^{2}+2)}[/tex]. [tex]\blacksquare[/tex]

The statement is poorly formatted, the correct form is shown below:

Find [tex]\mathcal {L}\{f(t)\}[/tex] by first using a trigonometric expression. (Write your answer as a function of s). f(t) = cos² t

To learn more on Laplace transforms, we kindly invite to check this verified question: https://brainly.com/question/2088771

Step-by-step explanation:

find; (f-g)(x)

(f(x) - g(x))

f(x) = 3x + 4, g(x) = 2x - 5

3x + 4 - 2x + 5

x +9

Answer:

x=10

Step-by-step explanation:

the image above shows the work to solve the equation

Answer:

811

Step-by-step explanation:

i d k

You're basically using the supplement angle to find the missing number.

Here the common ratio is -5

next terms will be 375 and -1875

Answer:

(i) no correlation as one variable is not dependent on the other.

(ii)  The age of a car does affects its value.  Therefore, the age will be the independent variable (x-axis) and the value will be the dependent variable (y-axis).  Unless the car is a classic, sought-after car, as the age increases, its value decreases, so this will be a negative correlation.

(iii)  The time spent watching TV may affect exam score (since the more time spent watching TV equals less available time to spend studying).  Therefore, the time spent watching TV will be the independent variable (x-axis) and the exam score will be the dependent variable (y-axis).  As time spent watching TV increases, the exam score could potentially decrease, so this will be a negative correlation.

(iv)  no correlation, since one variable is not dependent on the other.

(v)  The cost of an apartment may affect its sale, but there are many factors that can affect this such as location of the apartment and the buyers it appeals to.  The cost will be the independent variable (x-axis) and the sale will be the dependent variable (y-axis).  In usual circumstances, we would expect to see as the cost of an apartment increases, the sale may decrease, as less and less buyers can afford to buy it, so this will be a negative correlation.

Answer:

2.3 2 1/3

Step-by-step explanation: you add up all the bikes then divide them by 3 because that's the number of people

Answer:

14.6

Step-by-step explanation:

Answer:

19 11/16

Step-by-step explanation:

5 1/4 x 3 3/4

Area = width x length

Answer:

$64.89

Step-by-step explanation:

57.68 + 1.25 × 57.68

= 57.68 + 72.1

= 129.78

The original price was $129.78.

129.78 – 0.50 × 129.78

= 129.78 – 64.89

= 64.89

The discount price was $64.89.

Answer: 4

Step-by-step explanation:

It sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:

90 - 57.68 = 32.32

Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:

32.32/8.08 = 4

Answer:

$31.05

Step-by-step explanation:

You can get this answer by changing percent (13.5%) to just 13.5, or in other words, a decimal. you also change 230. to a decimal by by moving the decimal point two times to the left to get 2.30. You can then get your answer by multiplying the values together (2.30 x 13.5)

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

Answer:

Undefined Slope

Step-by-step explanation:

The points (2,6) and (2,7) are on the same vertical line of 2, which results in an undefined slope.

Answer:

m=undefined

Step-by-step explanation:

The formula to find the slope isn't very complicated. The formula is:

    y₂-y₁

m= --------

      x₂-x₁

You have the points (2,7) and (2,-6). In (2,7) 2 is your x and 7 is your y. Since (2,7) is your first coordinate set, we put 2 as our x₁ . We put 7 as our y₁ .

In (2,-6) 2 is your x and -6 is your y. Since (2,-6) is your second coordinate set, we put 2 as our x₂ . We put -6 as our y₂ .

Let's substitute all of these numbers in:

    -6-7       -13

m= -------  = -------

     2-2         0

So we have -13/0 .You would think that any number divided by                0 is 0, right?

                No. Any number divided by 0 is undefined.

Therefore, you slope, m, would be:

m=undefined .

Answer:

the value of z is 60 degree

Answer:

4(4x + 5)

Step-by-step explanation:

4 goes into both 16 and 20.

4×4 is 16 and

4×5 is 20.

When factoring you put the nunber you factored out typically, in front. Then the remaining factor goes in a set of parenthesis.

This is like undoing distributive property.

16x + 20

= 4(4x+5)

Take 2 common

Again take two common

Simplify

Done

Answer:

Step-by-step explanation:

Answer: The correct answer is C.

Step-by-step explanation: C Shows multiple animals and shows plants. It also shows water which is needed in an ecosystem.

Hope this helps!

Answer:

5/32

Step-by-step explanation:

Answer: Option (3)

Step-by-step explanation:

You can get 2 pairs of corresponding angles from the parallel segments, meaning that they are similar by angle-angle.