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3 years ago

In a survey, a group of students were asked their favorite sport. Eighteen students chose “other” sports.

Mathematics

1 answer:

Nina [5.8K]3 years ago

6 0

<span>a. How many students participated?

</span>

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Which system of equations would have no solution? pls helpp

Leya [2.2K]

Answer:

3x+y=8 and 3x+y=9

Step-by-step explanation:

Assume these two equations:

a1x+b1y+c1=0

a2x+b2y+c2=0

If (a1/a2) = (b1/b2) ≠ (c1/c2) than those two would have no solution.

In these case, take a look at the last option:

$3x + y = 8 \\ 3x + y = 9$

Re-write 'em as a standard form:

$3x + y - 8 = 0 \\ 3x + y - 9 = 0$

So (a1/a2) = (b1/b2) ≠ (c1/c2) is true here:

$\frac{3}{3} = \frac{1}{1} ≠ \frac{ - 8}{ - 9}$

And they do not have any collision point

6 0

3 years ago

Read 2 more answers

lena works for 34 hours from monday to friday at her normal rate of pay ,on saturdays she gets an overtime rate of pay ,the over

kifflom [539]

Answer: £ 8

Step-by-step explanation:

Total hours Lena works from Monday to Friday = 34 hours

Hours she works on Saturdays = 4

Overtime rate of Saturday = 1.5 times her normal rate

Let x be the normal rate.

Then , Her total earning = $34 x + 4 \times(1.5x) =34x+6x=40x$

Since her total earnings for week = £ 320

So,

$320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8$

Thus, her normal rate of pay per hour = £ 8

7 0

3 years ago

Dylan and three of his friends went to dinner at Texas Roadhouse. The cost of the meal was $41.56. If they split the bill equall

Volgvan

Each person would pay 10.39 a piece

5 0

3 years ago

What is the rate of heat transfer required to melt 1-ton of ice at 32 F in 24 hours?

LiRa [457]

Answer:

3865.74 J/s

Step-by-step explanation:

mass of ice, m = 1 ton = 1000 kg

time , t = 24 hours

latent heat of fusion of ice, L = 334000 J/kg

Heat required to melt, H = m x L

where, m is the mass of ice and L be the latent heat of fusion

So, H = 1000 x 334000 = 334 xx 10^6 J

Rate of heat transfer = heat / time = $\frac{334\times 10^{6}}{86400}$

Rate of heat transfer = 3865.74 J/s

thus, the rate of heat transfer is 3865.74 J/s.

8 0

3 years ago

Find the equation of the line that passes through (-1,3) and is perpendicular to 2y=x−1. Leave your answer in the form y=mx +c A

Lostsunrise [7]

Answer:

y = -2x + 1.

Step-by-step explanation:

2y = x - 1

y = 1/2y - 1/2

If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.

So, the slope will be -2.

We now have y = -2x + c.

To find c, simply put in -1 for x and 3 for y.

3 = -2 * -1 + c

c + 2 * 1 = 3

c + 2 = 3

c = 1

So, the equation of the line is y = -2x + 1.

Hope this helps!

8 0

3 years ago

Read 2 more answers