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irakobra [83]
4 years ago
6

A ramp rises 21 in vertically and extends 378 in horizontally. Find the slope of the ramp.

Mathematics
1 answer:
Virty [35]4 years ago
6 0

Answer:

\frac{1}{18}

Step-by-step explanation:

Slope of ramp = \frac{vertical change}{horizontal change}

                        = \frac{21}{378}

                        = \frac{1}{18}

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The driving distance between Manchester and London is 195 miles. Farris intends to travel from Manchester to London by coach. Th
sammy [17]

Answer:

Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm

Step-by-step explanation:

Driving distance between Manchester to London = 195 miles

Coach left Manchester = 3.30 pm

Average speed of coach = 50 mph

Total time taken by the coach to reach the Manchester to London = 195÷50 = 3.9 h

0.9 h = 0.9×60 mnt = 54 mnt

Now,

        3.9 h = 3 h 54 mnt

Hence Faris' arrival time in London = 3.30 pm + 3 h 54 mnt = 7.24 pm

3 0
3 years ago
Read 2 more answers
It is known that x1 and x2 are roots of the equation x2−8x+k=0, where 3x1+4x2=29. find k.
zysi [14]

Answer:

k = 15

Step-by-step explanation:

∵ x² - 8x + k = 0 ⇒ has two roots x1 and x2

∵ ax² + bx + c = 0 has two roots

∴ The sum of roots = -b/a and the product of them = c/a

∵ a = 1 , b = -8 and c = k

∴ x1 + x2 = -(-8)/1 = 8

∴ x1 + x2 = 8 ⇒ (1)

∵ 3x1 + 4x2 = 29 ⇒ (2)

Multiply (1) by -4

∴ -4x1 - 4x2 = -32 ⇒ (3)

Add (2) and (3)

∴ -x1 = -3

∴ x1 = 3

By substituting value of x1 in (1)

∴ 3 + x2 = 8

∴ x2 = 5

∴ The roots are 3 and 5

∴ c/a = 3 × 5 = 15 ⇒ (a = 1)

∴ c = 15

∴ k = 15

4 0
3 years ago
Help, please!! 25 pts!! Very confused!!!
jonny [76]
260+(20x) =140+(30x)
x represents the number of months.
subtract 20x from both sides and subtract 140 from both sides
120=10x
divide each side by 10
12=x
So in 12 months, Jamal will have paid the same amount to both shops.

To check your answer, you plug in 12 for x.
260+20(12)=140+30(12)
260+240=140+360
500=500

Hope this helps.
7 0
3 years ago
Read 2 more answers
Cliff wants to determine whether people prefer red apples or green apples. In order to obtain good results, he decides to conduc
Alex17521 [72]

Answer:

Small sample size.

Step-by-step explanation:

The problem with Cliff's survey is that his sample size is too small. 10 out of 5,000 people represent only 0.2% of the population that attended the festival, which is too small of a sample for a reliable study.

Furthermore, since Cliff's question was to determine whether people, in general, prefer red apples or green apples, the sampling of only people who attended the festival might no be adequate.

4 0
4 years ago
Model 25% on a 4x3 grid
Nostrana [21]
1.) Start by figuring out what the 4x3 grid would look like. In this grid, we have 12 boxes (4 x 3 = 12).

2.) Now let's calculate 25% of 12. When changing a percent to a decimal, simply move the decimal point over to the left two places. So then 25% = .25 when written as a decimal. Multiply 25 x 12. 25% of 12 equals 3. 

3.) Now your grid would have 3 boxes shaded in. I put two examples of this in the attached image. However, your boxes can be shaded in anywhere in the grid, as long as only 3 of them are shaded in!

8 0
3 years ago
Read 2 more answers
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