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3 years ago

Hiroshi has 4 engines and 18 box cars. Find the ratio of engines to box cars. Write the ratio as a fraction in simplest form.

1 answer:

4 0

To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.

Because we want the ratio of engines to box cars, our ratio should be:

number of engines/number of box cars

When we substitute in our respective values, we get:

4/18

To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:

4/2 / 18/2

When we simplify, we get:

2/9

Therefore, your answer is 2/9.

Hope this helps!

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Mrs. Hargrove owes the doctor $34.56. she gives the clerk $50.00. . List Mrs. Hargrove change using the least number of coins an

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3 years ago

Find the equation of the line: With an x intercept of 4 and ay intercept of −1.5.

Mekhanik [1.2K]

Answer:

y = (3/8)x - 1.5

Step-by-step explanation:

Use the slope-intercept form y = mx + b. Substitute -1.5 for b, 4 for x and 0 for y. Then: 0 = m(4) - 1.5, or

4m = 1.5, or

The slope is m = 1.5/4, or m = 0.375, or m = 3/8.

Note that the x-intercept can be treated just like any other point: (4, 0)

Then the desired equation is y = (3/8)x - 1.5

8 0

3 years ago

Read 2 more answers

use a numerical method to estimate the value of the limit (if it exists.) Lim e^5t -1 /t as x tends to 0 from both sides

charle [14.2K]

Hello from MrBillDoesMath!

Answer:

Discussion:

Consider the expansion of e^x:

e^x = 1 + x + x^2/2 + x^3/6 +...... => replace x by 5t

e^(5t) = 1 + (5t) + (5t)^2/2 + .... => subtract 1 from both sides

e^(5t) - 1 = (5t) + (5t)^2/2+.... => divide both sides by t

(e^(5t) -1)/ t = 5 + (25/2) t +....

so as t ends to 0 the quotient tends to

5 + (25/2)0 + (other terms) *0 -> 5

Thank you,

MrB

8 0

3 years ago

Help anyone would gladly appreciate it

Nutka1998 [239]

(2,-2) there you go

6 0

3 years ago

It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) su

cricket20 [7]

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

4. gym practice

Step-by-step explanation:

1. the students intelligent quotient

gpa has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.

2. ability to remember

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

3. study time

gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.

4. gym practice

gpa and gym practice are not related so the slope would be in a downward direction.

when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.

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3 years ago