Two children are sharing 1/2 of a sandwich. how much will each child get

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagr

atroni [7]

Answer: $\frac{1}{10}$

Step-by-step explanation:

Since, The total number of student = 300

Out of which,

The number of students who are only in Maths = 120

And, The number of students who are only in Science = 50

While, the students who are not from any subject = 100

Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and maths,

Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10

3 0

1 year ago

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Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur

Gelneren [198K]

I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.

7 0

1 year ago

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The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. What does the attached gra

Sergeeva-Olga [200]

The attached graph tells me that the domain is [-k,∞) and the range of this function is (-∞,c]. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about this specific question.

4 0

1 year ago

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A small town's phone numbers either begin 373 or 377. How many phone numbers are available?

ser-zykov [4K]

Answer: