Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.



What was Jessica's walking speed in miles per hour?

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Answer:

See below ~

Step-by-step explanation:

Answer:

Hello! The solution to this linear equation is 0 = 0. To find this solution:

Distribute -

8 - 2(4v+6) = -4 - 8v

8 - 8v - 12 = 14 - 8v

Subtract the numbers -

8 - 8v - 12 = -4 - 8v

-4 - 8v =  -4 - 8v

Rearrange terms -

-4 - 8v = -4 - 8v

-8v - 4 = -4 - 8v

Rearrange terms -

-8v - 4 = -4 - 8v

-8v - 4 = -8v - 4

Add 4 to both sides -

-84v - 4 = -8v - 4

-8v - 4 + 4 = -8v - 4 + 4

Simplify -

-8v - 4 + 4 = -8v - 4 + 4

-8v = -8v - 4 + 4

-8v = -8v

Add 8v to both sides -

-8v = -8v

-8v + 8v = -8v + 8v

Combine like terms and simplify -

-8v + 8v = -8v + 8v

0 = -8v + 8v

0 = 0

The solution is 0 = 0. This is an identity: it is true for all values.

Hope this helps! Have a great day.

Answer:

w-6    l-12

Step-by-step explanation:

Let's put this into a system of equations.

w=0.5L

wL=72

Let's plug in the w value in the second equation.

0.5L(L)=72

L²=144

L=12

Now we plug our L value into the first equation.

w=1/2(12)

w=6

The width is 6 and the length is 12.

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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The answer is B let me know if this helps ok.

Answer:

b

Step-by-step explanation:

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Answer:

b

Step-by-step explanation:

Answer:

The answer is B! :)

Step-by-step explanation:

Answer:

–3

Step-by-step explanation:

5x-3=3(2x+1)+x

5x-3=6x+3+x

So, X to the left and numbers to the right

5x-6x-x=3+3

-2x=6 | :(-2)

x= -3

Answer:

63

Step-by-step explanation:

Answer:

it depends on how many red marbles are there

Step-by-step explanation:

is there any green or orange or yellow?

Answer:1 over 3

Step-by-step explanation:

y = -3

Given the equation:

-3y - 2 = 7

To solve for y,

Add 2 to both sides

-3y = 7 + 2

-3y = 9

Divide both sides by -3

y = 9/(-3)

= -3

8

Step-by-step explanation:

you would do 10 divide by 2.25 and that's 4.4 but you can't by half a hamburger so you round down to 4 and then you times 4x2 because it's 2.25 for two hamburgers so your answer is 8.

Answer:

2

Step-by-step explanation:

We are given that a=1 and b=3, so we must substitute these values into the equation and simplify to find the answer.

2ab+2

2(1)(3) + 2

6+2 = 8

2ab-2

2(1)(3) - 2

6-2 = 4

8/4 = 2

Answer:

1

Step-by-step explanation:

26 - 10x^2 > 4x + 11

15 - 10x^2 > 4x

15 > 10x^2 + 4x

15 > (10 · 1^2) + (4 · 1)

15 > (10 · 1) + 4

15 > 10 + 4

15 > 14

Answer: A/D/E

Step-by-step explanation:

2x + y = -5

-2x = y

2x = 4 - y

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Answer:

(-0.8, 0.2)

Step-by-step explanation:

assuming that the double negative on the x is not a typo.....

if it is the intersection point is (4/7, 1 4/7)

Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

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The point of intersection will be the x, and y coordinates where the two lines cross.

To determine the point(s) of intersection algebraically, we need to find the solutions of the system of equations:

y = x² - x + 1

We can re-arrange the equation to solve for x:

x² - x + 1 - y = 0

We can then use the quadratic formula to find the solutions:

x = (1 ± √(1 - 4(1)(-y)))/2

x = (1 ± √(1 + 4y))/2

Now we can substitute values for y to find the x-coordinates of the points of intersection.

To verify the results, we can use a graphing utility to graph both equations and visually see where they intersect.

The point of intersection will be the x, and y coordinates where the two lines cross.

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Answer:

$16.35

Step-by-step explanation:

$15 * (1+9%) =16.35

Answer:

See explanation below.

Step-by-step explanation:

Given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

The parent function of the given function is:  y = sin(x)

The five key points for graphing the parent function are:

(See attachment 1)

Standard form of a sine function:

\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)

where:

Therefore, for the given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

See attachment 2.