A bus averages 2miles per hour faster than a motorcycle. If the bus travels 165miles in the same time it takes the motorcycle to travel 155miles, then what is the speed of each?

Answer:

1.39

Step-by-step explanation:

Given the quadratic equation :

2x^2+3x-8 = 0

We could apply the quadratic equation formula :

a = 2 ; b = 3, c = - 8

The formula is stated as :

-b±sqrt(b² - 4ac)/2a

To save computation tune, we could use a calculator :

The roots are : - 2.886 ; 1.386

The positive solution rounded to the nearest hundredth is : 1.39

Answer:

yeah i dont know i want my points xd 494 4944

Step-by-step explanation:

Answer:

x=0,10

Step-by-step explanation:

Answer:

54%

Step-by-step explanation:

129/240 =  0.5375  (divided to find the % change)

0.5375 * 100 (to convert decimal to percent form)

53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)

Answer:

First, we know that the 0 in the horizontal axis corresponds to the noon.

Then:

a) Lin's elevation at noon in meters.

We need to see the elevation when x = 0.

This is the point that is just on top of the y-axis, we can see that when x = 0, we have y = 6.

Then at noon, her altitude was 6 meters.

b) At 8:00 am, her elevation was 2m

Remember that the x-component represents time, and x = 0 represents the noon.

8:00 am is 4 hours before noon, then 8:00am is represented with x = -4

and at this time her elevation is 2m, then y = 2.

This means that the point that represents this is (-4, 2)

c) At 4:00 pm Lin was at sea level (her elevation was 0m)

Same reasoning than before: x = 0 is the noon, then 4:00 pm is four hours after this, then 4:00 pm is represented with x = 4.

And here her altitude is 0m, then y = 0.

This point is written as (4, 0)

d) Here we can see that at 6:00 am her elevation was negative, and at 4:00pm her elevation is 0.

And we know that:

0 > negative numbers.

Then her altitude increased in this interval of time.

Answer:

Its 0

Step-by-step explanation:

First step: you got to add y to both sides in the math problem Ex: 15x - y + y  < 12 + y

Second step: simplify 15x < 12 + y

Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15

Last and Fourth step:  Simplify and thats your answer  x < 12 + y/15

Answer:

I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.

Step-by-step explanation:

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

Answer:

y = 7x - 603

Step-by-step explanation:

We start by determining the slope:

m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,

Now we substitute the slope into the slope-intercept equation y  = mx + b, solving for the y-intercept [b]:

111 = 7(102) + b,

b = -603

Equation: y = 7x - 603

4. Overall, there are 45 students.

13 students achieved a mark over 65

[tex]\frac{13}{45} *100[/tex] = 29%

Therefore the answer is b. 29%

5. b is incorrect.

This is because retrievers account for 10% of the dogs, not 15%.

100%-(35% + 45% + 10%) = 10%

Answer: $84

Steps:

70 * 10%

70 * 0.10 = $7 sales tax

70 * 10%

70 * 0.10 = $7 tip

$70 lunch cost + $7 sales tax + $7 tip = $84

Answer:

i think the ratio for the first is 1:5 and the other is 1:1

Step-by-step explanation:

have a nice day

Answer:

Step-by-step explanation:

The common denominator of these 2 fractions is 10.

Turn the mixed number 3 4/5 into an improper fraction which would be

19/5.

Then multiply the numerator and denominator with 2 to get the denominator to be 10.

19/5 x 2 = 38/10

Now turn 2 1/10 into an improper fraction= 21/10

Now subtract...

38/10 - 21/10 = 17/10

So Timberly spent 17/10  or  1 7/10 more hours then Misty at the gymnastics practice

Answer: angle x= 20 degrees

Step-by-step explanation: sum of angles in triangle is 180 degrees.

You count 2x + 3x +(x+60) = 180

6x=120

Answer:

199.8 km to the 1 decimal point

Step-by-step explanation:

8:36 to 9:00 is 24 min

9:00 to 10:00 is 60 min

10:00 to 10:57 is 57 min

That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.

d = rt = 141/60(85) = 199.8 km to the 1 decimal point

Answer:

The first one is mean absolute deviation and the second one is did not improve

Step-by-step explanation:

I took the test

The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The given table is:

                  Mean     MAD

Last Year    16.2 s     1.2

This Year    14.7 s      1.9

Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.

The mean absolute deviation is bigger, but the change in the mean is bigger.

difference of the mean   16.2 - 14.7 = 1.5

difference of the MAD  1.9 - 1.2 = 0.7

This means that the average speed of the runners increased since last year,

and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.

Learn more about Mean here:

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Answer:

x=-6

Step-by-step explanation:

The only thing to do is to transpose 4 and it will become negative,so-2-4=-6

Answer:

X = -6

Step-by-step explanation:

The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4

Work out the new equation:-

x = -2 - 4

NOTE: -2 - 4 = -6

Therefore x = -6

Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 2 3 4 5 6

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

Answer:

1/4

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

in 8 hrs she can make 12 then cn only make one more so

Answer:

a) 256 ft^2 No

b) 150 ft^2 Yes

c) 300 ft^2 NO

d) 192 ft^2 Yes

w=8.5 in

l=11 in

A=w•l

A=8.5•11=93.5 in^2

Scale:

1in:1.5 ft

1in^2:2.25 ft^2

1in ^2. 2.25ft^2

93.5 in^2. Xft^2

X=2.25•93.5

X=210.375

Step-by-step explanation:

The required answers are below the scale drawings for each of these rooms:

a. 16 feet by 16 feet: No

b. 10 feet by 15 feet: es

c. 15 feet by 20 feet: NO

d. 12 feet by 16 feet: Yes

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

a. 16 feet by 16 feet:

The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.

Answer: No.

b. 10 feet by 15 feet:

The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.

Answer: Yes.

c. 15 feet by 20 feet:

The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.

Answer: Not.

d. 12 feet by 16 feet:

The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.

Answer: Yes.

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Answer:

Step-by-step explanation:

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

Answer:

3x^2-4x+12

Step-by-step explanation:

x(2x+3)+(x-3)(x-4)

2x^2+3x+x^2-3x-4x+12

2x^2+x^2+3x-3x-4x+12

3x^2-4x+12

Answer:

3x² -4x + 12

Step-by-step explanation:

x(2x + 3) + (x - 3)(x - 4)

= 2x² + 3x + x² - 4x -3x + 12

= 3x² -4x + 12

Answer:

third one and fifth

Step-by-step explanation:

Answer:

Sorry the pictures re not clear. Could u zoom in? :)

Answer:

33.33 feet

Step-by-step explanation:

First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33

Answer:

option b 27 is the answer

Answer:

the properties of classification, order, equal distance, and unique origin.

Step-by-step explanation:

A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;

1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

Hence, a ratio scale contains the properties of classification, order, equal distance, and unique origin.

Answer:

(-3,1.5) (0,3) (3'3)

Step-by-step explanation:

multiply all the coordinates by 1/2