Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom drove 75 miles per hour, and her dad drove 60 miles per hour. If they drove a total of 1,710 miles, how many hours did each person drive for?

Answer: c

Step-by-step explanation: good luck everyone

Ashley's z-score for the given table is -1.2.

''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''

From the given table, we can calculate the mean, median, mode and standard deviation.

Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10

= 75.5

Median = middle term when scores are arranged in ascending order

= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}

= 75

Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.

Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]

=  [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]

= [tex]\sqrt{157.25}[/tex]

=12.54

Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation

= (60 - 75.5)/12.54 = -1.2

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Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

Answer:

B - 500 + 10x = 700

Step-by-step explanation:

It’s not C because there’s nothing to subtract, he’s just gaining. It’s not A because he gains 10 every month, so the x would have to be on the 10, which means it’s B.

Answer:

B-500+10x=700

Step-by-step explanation:

Answer:

0.001 fluid oz.

Step-by-step explanation:

100 : 0.1 = 10,000 = 0.001

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Answer:

5

Step-by-step explanation:

Y=-3x+5

Answer:

1080 is the answer.

Step-by-step explanation:

Answer: C or B

Step-by-step explanation:

Answer:

its the first answer

Step-by-step explanation:

Answer: n=3

Step-by-step explanation:

Understand that you need to set up a proportion before you can try to solve the question through guessing. In this case, YZ would be proportional to XY as EF is proportional to DE. You would write this as: EF/DE=YZ/XY.

Now you want to write an equation. In order to do this remember to multiply by your proportion. Here’s my equation:

5/4(4n+4)=7n-1. Now distribute:

5n+5=7n-1. Now simplify:

6=2n. Now simplify again:

n=3

Hope this helps you with your big ideas math hw!

The value of is n=3

5/4(4n+4)=7n-1.

Now distribute:

5n+5=7n-1.

Now simplify:

6=2n.

n=3

Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set W = {x, y, z}

If there are n elements in a set, then are 2ⁿ subsets.

As there are 3 elements in a set, then are 2³ or 8 subsets.

so

W = {x, y, z} has 8 subsets.

They are:

∅, {x}, {y}, {x}, {x, y}, {x, z}, {y, z}, and {x, y, z}

Answer:

The answer is below

Step-by-step explanation:

I have 14 Baseballs in 23 tennis balls. I bought some boxes of baseballs with 12 baseball to a box and equal amount of boxes of tennis balls with 16 balls to a box. write an expression to represent the total number of balls

Solution:

Let n represent the number of boxes of each type.

Given, the number of boxes of tennis = number of boxes of baseball, hence:

n = number of boxes of tennis = number of boxes of baseball.

Already I have 14 baseball and I bought boxes of baseballs with 12 baseball to a box, therefore:

Number of baseballs = 14 + 12n

I have 23 tennis ball and I bought boxes of tennis balls with 16 baseball to a box, therefore:

Number of tennis balls = 23 + 16n

Total number of balls = number of baseballs + number of tennis balls

Total number of balls = (14 + 12n) + (23 + 16n) = 14 + 23 + 12n + 16n = 37 + 28n

Total number of balls = 37 + 28n

Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.

Answer:

4/6 or as a decimal 0.666

Step-by-step explanation:

Convert to numbers and letters. 10 + 2n = -4n + 14

Move the like terms to their side: 6n = 4

Divide by 6: n = 4/6 or as a decimal 0.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

Answer:

1.5

Step-by-step explanation:

Please correct me if I'm wrong. :)

Answer:

y=-8

Step-by-step explanation:

y=6x+(-2)

y=6(-1)+(-2)

y=-6+(-2)

y=-8

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

Answer:

4 : 59

Step-by-step explanation:

Close. But good try

So what is "ratio?"

Well seems like you got 15/59 i think you meant 15:59 right? ratio has a : in it.

But, you see there is only 4 pizzas with pepperoni in it so actually it should be

4 : 59

Good attempt anyways Trying is always better than nothing.

answer

1:5

Step-by-step explanation:

To find speed use the formula

speed=distance/time

The car's speed is 600m ÷2mins(120secs)

(600÷120)

5m/s

The trains speed will be

speed=distance/time

=75÷50mins(5/6hrs)

=90km/hr

Ratio of their speed should be

first change the speed of the car 5 m/s to km/hr. 5×18/5 = 18km/hr

the speed of the train is 90km/hr

18:90 simplified it will be 1:5

Answer:

D E F

Step-by-step explanation:

Have a good day :)

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

Answer:

Idaho

Step-by-step explanation:

Answer:

The equation is;

y = x/2

Step-by-step explanation:

General form of the equation of a straight line is;

y = mx + c

where m slope

For the given equation , the slope is -2

If two lines are perpendicular, then the product of their slopes is -1

So the slope of the second line will be

-2 * m2 = -1

m2 = -1/-2

m2 = 1/2

Using the point-slope form, we have

y-y1 = m(x-x1)

Here (x1,y1) = (0,0)

y-0 = 1/2(x-0)

y = 1/2x or simply

y = x/2

Answer:

Step-by-step explanation:

More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night