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egoroff_w [7]
3 years ago
11

Your school wants to have 5 computers for every 12 students.There are now 125 computers and 924 students.How many more computers

are needed to have a ratio of 5 to 12?
Thanks for your help
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0
First, determine the number of computers that are needed for 924 students.

    n =  (924 students)(5 computers / 12 students)
                 n = 385 computers

Since, there are only 125 computers, the difference can be calculated.
     
       d = 385 computers - 125 computers
   
                d = 260 computers

Hence, 260 more computers are still needed. 
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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

y\leq 40-x....(1)

y\leq x-20...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

y=-x+40...(3)

y=x-20...(4)

Adding equation (3) and (4) we get

2y=20

y=10

Substitute y=10 in equation (3) we get

10=40-x

x=40-10=30

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

y=40

Substitute y=0 in equation (3)

x=40

Substitute x=0 in equation (4)

y=-20

Substitute y=0 in equation (4)

x=20

Substitute x=0 and y=40 and in equation (1)

40\leq 40

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

-20\leq -20

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0
3 years ago
Read 2 more answers
Please help with this question <br> Thank you
Elden [556K]

Answer:

4.(a) y = -2x + 5

Step-by-step explanation:

6 0
3 years ago
i need help asap!! Which of the following statements is false? Most absolute value equations will yield two different solutions.
Bezzdna [24]

the false statement is: the absolute value of a number can be negative.

the absolute value of a number is never negative

6 0
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sleet_krkn [62]
6 absolute value is 6
4 0
3 years ago
The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a
Rainbow [258]

Answer:

0.1587

Step-by-step explanation:

Let X be the commuting time for the student. We know that X\sim N(30, (5)^2). Then, the normal probability density function for the random variable X is given by

f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,

 

P(X>35) = \int\limits_{35}^{\infty}f(x)dx = 0.1587

To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)

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