49, 50, 52, 58, 61, 63, 66, 68
Part A What is the median of the data set?

The student took 5400 seconds to finish her assessment.

Given,

A student takes 1.5 hours to complete her midterm.

We have to find how many seconds it took to finish her midterm assessment.

One hour = 60 minutes

1 minute = 60 seconds

We have,

A student takes 1.5 hours to complete her midterm.

1.5 hours = to complete the assessment.

Converting 1.5 hours into seconds.

1 minutes = 60 seconds

Multiplying 60 on both sides.

60  x 1 minutes = 60 x 60 seconds

60 minutes = 3600 seconds

1 hour = 60 minutes

1 hour = 3600 seconds

Multiplying 1.5 on both sides.

1.5 x 1 hour = 1.5 x 3600 seconds

1.5 hours = 5400 seconds.

Thus the student took 5400 seconds to finish her assessment.

Learn more about conversion of hours to seconds here:

https://brainly.com/question/8197451

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Answer:

1  7/8 or 15/8

Step-by-step explanation:

Keep change flip

Answer:

There are 3 intervals where Ann is driving a consistent speed

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Explanation:

When she drives a consistent speed, this means her speed is the same.

This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.

The intervals where the graph is flat are mentioned at the top in the answer portion.

Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.

In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).

Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.

Answer:

C and D are parallel

Step-by-step explanation:

If b⊥c and b⊥d, then that means that they are both parallel because they both have a 90 degree anglewith line B.

Answer:

| | (Parallel)

Step-by-step explanation:

I'm assuming that is what it is asking. if b and c are perpendicular, that means they form 90 degrees on all angles. The same for b and d. So if both c and d are perpendicular to b, then they are parallel.

Answer:

  AB = 7

  AC = 21

Step-by-step explanation:

Because AD is an angle bisector it divides the triangle into proportional parts. That is ...

  AC/DC = AB/BD

  (28 -AB)/9 = AB/3 . . . . use AC = 28 -AB

  28 -AB = 3AB . . . . . . . . multiply by 9

  28 = 4AB . . . . . . . . add AB

  AB = 28/4 = 7 . . . . divide by 4

  AC = 28 -7 = 21

The lengths AB and AC are 7 and 21, respectively.

_____

Additional comment

The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.

For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.

Answer:

30,6

Step-by-step explanation:

Answer:

2, 1

Step-by-step explanation:

half of 64 is 32

half of 32 is 16

half of 16 is 8

half of 8 is 4

half of 4 is 2

half of 2 is 1

Answer:

2, 1

Step-by-step explanation:

you are dividing it in half or by two

Answer:

350%

Step-by-step explanation:

59.5÷17=3.5

3.5•10=350

350%

Answer:

The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Step-by-step explanation:

We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.

In other words, the rule is:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.

Considering the point

Let us reflect the point A(2, 3) across the y-axis.

We know the rule:

P(x, y) → P'(-x, y)

so

A(2, 3) → A'(-2, 3)

Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)

Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

[tex]A = \frac{1}{2}\cdot n \cdot (n+1)[/tex]

[tex]A = \frac{1}{2}\cdot (n^{2}+n)[/tex]

[tex]A = \frac{n^{2}}{2}+\frac{n}{2}[/tex]

[tex]n^{2}+n = 2\cdot A[/tex]

Where [tex]n[/tex] is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

[tex]n^{2}+n -2\cdot A = 0[/tex] (1)

If we know that [tex]A = 17.5\,cm^{2}[/tex], then the shortest length of the triangle is:

[tex]n_{1} = 5.437\,cm[/tex] and [tex]n_{2} \approx -6.437\,cm[/tex]

Since length is a positive variable, the only possible solution is:

[tex]n\approx 5.437\,cm[/tex]

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Answer:

6

Step-by-step explanation:

Answer:

he should have 6

Step-by-step explanation:

Step-by-step explanation:

Given

5x + 2x + 2 = 9x + 4

9x - 5x - 2x = 2 - 4

9x - 7x = - 2

2x = - 2

x = - 2 / 2

Therefore x = -1.

therefore lhs is equal to rhs

Answer:

AAS

Step-by-step explanation:

Answer:

36 feet

Step-by-step explanation:

48/8=6 so you need to multiply the 6 by 6 as well which gives you 36

Answer:

200%

Step-by-step explanation:

if you substitute in numbers you'll find this as the answer.

as an example:

suppose the sides of the rectangle was 1 unit long.

area before change: 1 * 1 = 1

then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )

the width gets increased by 100% making it 2 ( 1 + 1 = 2 )

new area: 1.5 * 2 = 3

1 increased by 200% is 3, therefore the answer is 200%

Answer:

B

Step-by-step explanation:

The answer is B because it tells you the letter atound triangle.

Answer:

b

Step-by-step explanation:

Answer:

Ms.Jones is faster

Step-by-step explanation:

Answer:

[tex]36700000[/tex]

Step-by-step explanation:

Difference between tourists visiting France and Italy = [tex](7.94 - 4.27)[/tex] ×[tex]10^{7}[/tex]

[tex]= 3.67[/tex] × [tex]10^{7}[/tex]

[tex]= 36700000[/tex]

[tex]\therefore[/tex] Difference between population of tourists in France and Italy are [tex]36700000[/tex] people.

Answer:

Three times a variable added to a different variable divided by six is equal to two times the different variable minus the first variable.

Step-by-step explanation:

Answer:

The final price including tax is $41.89

Step-by-step explanation:

The following items are on sale:

Sleeved dress $17.99

Skirt $16.19

T-shirt $8.99

Subtotal $43.17

The cheapest item is the T-shirt for $8.99 and it will be discounted by 30%:

$8.99 - 30/100 * $8.99 = $8.99 - $2.70 = $6.29

The total sale price is now: $43.17-$2.70=$40.47

Now we add the 3.5% tax:

$40.47 + 3.5/100 * $40.47 = $40.47 + $1.42 = $41.89

The final price including tax is $41.89

Answer:

12 pack

Step-by-step explanation:

12 pack = $4.75

1 bottle = $0.90

7 × 0.90 = $6.30

Answer:

B 60

Step-by-step explanation:

because 30x60=1800 and since you already have 1k you add the 1800 to get 2800.

Answer:

x=1337/528

Step-by-step explanation:

-314x-214x=-1312-25

-528x=-1337

x=1337/528

Answer:

Step-by-step explanation:

add 314x to both sides

-314+25=214x-1312

+314x     +314x

add 1312 to both sides

25=528x-1312

+1312       +1312

1337=528x

x=1337/528

i dont thing you can simplify to a whole number...hopefully this helps a little :)

Step-by-step explanation:

Only option B shows a proportional relationship (y = 3x).

Answer:

D

Step-by-step explanation:

Y=3x-1 is written as the slope-intercept form y=mx+b don't let the -1 confuse you.

Answer:

B is the answer!!!

Step-by-step explanation:

the tape diagram shows this

Answer:

New salary after 30% raise , Ketchup in a bottle containing 30% more ketchup

Step-by-step explanation:

Given:

The mean number of emails adele received during a week was 51.

The numbers received for the six days were 39, 57, 70, 45, 71, 32.

To find:

The number of emails received on the seventh day.

Solution:

Let x be the number of emails received on the seventh day.

We know that,

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]51=\dfrac{314+x}{7}[/tex]

Multiply both sides by 7.

[tex]357=314+x[/tex]

Subtract 314 from both sides.

[tex]357-314=x[/tex]

[tex]43=x[/tex]

Therefore, she received 43 emails on the seventh day.

Answer:

x^2-3x-10

Step-by-step explanation:

Answer:

The answer is x²-3x-10

Step-by-step explanation:

(x + 2)(x − 5)

x²-5x+2x-10

x²-3x-10