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murzikaleks [220]
2 years ago
14

Sam spent 5/6 of an hour at the dentist’s office. He spent 1/10 of the time in the waiting room. How much time did he spend at t

he dentist’s office other than in the waiting room? 1/12 of an hour 3/25 of an hour3/4 of an hour 11/12 of an hour
Mathematics
1 answer:
svp [43]2 years ago
4 0
That is  5/6  - 5/6 * 1/10 = 5/6 - 5/60  = 50/60 - 5/60 = 45/60  = 3/4 hour answer
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Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0,
lesya692 [45]

Answer:

A line passing through the points (-1,-4),(0,0) and (1,4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

Part 1) A line passing through the points (-4,0) and (0,-2)

This line not represent a direct variation, because the line not passes through the origin.

Part 2) A line passing through the points (-5,4) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 3) A line passing through the points (-4,-6) and (0,3)

This line not represent a direct variation, because the line not passes through the origin.

Part 4) A line passing through the points (-1,-4),(0,0) and (1,4)

The line passes through the origin

Find out the value of k

k=y/x

For the point (-1,-4)

substitute

k=-4/-1

k=4

For the point (1,4)

substitute

k=4/1

k=4

The linear equation is  

y=4x

This line represent a direct variation

6 0
2 years ago
Read 2 more answers
A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square cent
gregori [183]
The answer is D. 140 cm². I think the circumference of the balloon means the circumference of the biggest circle. So the 21=2πr². While the surface area of a sphere is S=4πr². So the S≈140 cm².
8 0
2 years ago
Read 2 more answers
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step
sveta [45]
Remember PEMDAS, you have to simplify the exponent first.
7 0
1 year ago
an animal shelter has a ratio of dogs to cats test 3:2 if they are 30 cats at the shelter how many dogs are there
vitfil [10]
This ratio is in a form of dogs:cats.
The ratio given means there are 3 dogs for every 2 cats.
You can rewrite it as 3 dogs:2 cats.
If there are 30 cats, you would write the ratio as x dogs:30 cats.
Since the same must be done to both sides, you must find how many times 2 was multiplied to get 30 then multiply dogs by that number.
30 / 2 = 15
3 • 15 = 45
So if a shelter has 30 cats, then it has 45 dogs.
This can be written in a ratio as 45:30, or 45 dogs:30 cats.
8 0
2 years ago
Read 2 more answers
three positive numbers are in Arithmetic Progression (A.P). the sum of the squares of the three numbers is 155. while the sum of
Alecsey [184]
Given:
Three numbers in an AP, all positive.
Sum is 21.
Sum of squares is 155.
Common difference is positive.

We do not know what x and y stand for.  Will just solve for the three numbers in the AP.
Let m=middle number, then since sum=21, m=21/3=7
Let d=common difference.
Sum of squares
(7-d)^2+7^2+(7+d)^2=155
Expand left-hand side
3*7^2-2d^2=155
d^2=(155-147)/2=4
d=+2 or -2
=+2  (common difference is positive)

Therefore the three numbers of the AP are
{7-2,7,7+2}, or
{5,7,9}


6 0
2 years ago
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