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3 years ago

Find the quotient. The answer must be a proper fraction simplest form. 4 13 ÷ −3 16

Mathematics

1 answer:

DerKrebs [107]3 years ago

5 0

Answer:

5 or 5/1

Step-by-step explanation:

did the math, this is the result. Not sure if it's right, correct me if I'm wrong

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Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

Dovator [93]

Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

<u>Step 1</u>:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

8 0

3 years ago

John's garden is 12ft long and 15ft wide. How<br> long is John's garden in yards?

kkurt [141]

Answer:

4 yards long

Step-by-step explanation:

John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4

6 0

3 years ago

Read 2 more answers

15 men can do a piece of work in 80 days. If 5 more men are added, how long will it take to complete same piece of work?

tresset_1 [31]

Answer:

Step-by-step explanation:

This is an inverse proportion.

men = k / Time So first we need to find k

k = men * Time Substitute values

k = 15*80

k = 1200 Notice the units are man days.

Now what happens if we increase the number of men to 20? What happens to the number of days.

20 = 1200 / time Multiply both sides by time

20*time = 1200 Now divide by 20

time = 1200/20

Answer: time = 60 days

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2 years ago

INTERPRETING EXPRESSIONS: <br> ln the expression 9x - 9, the variable is ___

podryga [215]

The variable is X .........

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3 years ago

There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the rec

Vsevolod [243]

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.

3 0

3 years ago