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3 years ago

The difference between two numbers is 11 and their sum is 85. Find the numbers

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

x=48, y=37

Step-by-step explanation:

x-y=11, then y=x-11

x+y=85

substitute for y:

x+(x-11)=85

2x-11=85

2x=96

x=48, then y=37

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3z + 6 (m-5) =-48<br> solve for z

Troyanec [42]

Answer:

$z=2m+6$

Step-by-step explanation:

$3z+6(m-5)=-48\\6(m-5)+48=3z\\6m-30+48=3z\\6m+18=3z\\$

$\frac{6m+18}{3} =\frac{3z}{3}$

$2m+6=z$

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2 years ago

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100pts!! Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1

NeX [460]

Answer:

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

V = \pi r^2h = 3.14r^2h

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5

10 fenceposts:

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V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25

39.25 cubic feet of paint will be needed by Ellis.

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2 years ago

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What is 3 divided by 11/12

Lena [83]

Answer:

0.02272

Step-by-step explanation:

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3 years ago

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What is 30/25 as a percentage?

netineya [11]

Answer:

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Convert fraction (ratio) 30 / 25 Answer: 120%

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3 years ago

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In an article about the cost of health care, USA Today reported that a visit to a hospital emergency room has a mean cost of $14

Misha Larkins [42]

Answer: 0.8461

Step-by-step explanation:

Given : $\mu=144\ \ ; \sigma=392$

Let x be the random variable that represents the cost for the hospital emergency room visit.

We assume that cost for the hospital emergency room visit is normally distributed .

z-score for x=1000 ,

$z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]$

Using z-value table , we have

P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642

=0.8461358≈0.8461 [Rounded nearest 4 decimal places]

Hence, the probability that the cost will be more than $1000 = 0.8461

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3 years ago