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Svetach [21]
3 years ago
11

2n +9+5n=30 need help on this

Mathematics
2 answers:
Rus_ich [418]3 years ago
8 0
2n+9+5n=30  combine like terms on left side

7n+9=30  subtract 9 from both sides

7n=21  divide both sides by 7

n=3
sveticcg [70]3 years ago
8 0
N = 3

add like terms: 7n + 9 = 30
subtract 9 from both sides: 7n = 21
divide 7 from both sides
n = 3
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How far from the base of the house do you need to place a 15 foot ladder so that it exactly reaches the top of a 12 foot tall wa
Dafna11 [192]
3 feet because:
15 - 12 = 3
You need to place it 3 feet away from the base of the house.

Hope this helps :)
3 0
3 years ago
Find the average value fave of the function f on the given interval. f() = 5 sec2(/6), 0, 3 2
Inessa05 [86]

Answer:

f_{ave} = {\frac{10 }{3\pi }

Step-by-step explanation:

To find - Find the average value fave of the function f on the given interval. f(x) = 5 sec²(x/6), [0, 3\pi/2]

Proof -

We know that,

Average value of f in the interval [a, b] is -

f_{ave} = \frac{1}{b - a}\int\limits^b_a {f(x)} \, dx

Now,

Here a = 0, b = \frac{3\pi }{2}, f(x) = 5sec^{2}(\frac{x}{6} )

Now,

f_{ave} = \frac{1}{\frac{3\pi }{2}  - 0}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx

      = {\frac{2 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {5sec^2 ({\frac{x}{6} }) } \, dx

      = {\frac{10 }{3\pi }}\int\limits^{\frac{3\pi }{2} }_0 {sec^2 ({\frac{x}{6} }) } \, dx

      = {\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) }|^{\frac{3\pi }{2} }_0 \, ]

      = {\frac{10 }{3\pi }}[\ {tan({\frac{x}{6} }) - tan({0) } \, ]

      = {\frac{10 }{3\pi }}[ {1 - 0 }  ]

      = {\frac{10 }{3\pi }

⇒f_{ave} = {\frac{10 }{3\pi }

3 0
3 years ago
Liam is making cards from a set of paper with 16 sheets and 12 envelopes if he wants all cards to be identical without any left
geniusboy [140]

Answer:

Liam can make 4 cards

Step-by-step explanation:

A common factor between 16 and 12 is 4

To make the most identical amounts of cards, each card should get 4 sheets and 3 envelops.

The total amount of cards Liam can make is 4.

6 0
3 years ago
HELP ME NO LINKS I REALLY NEED HELP
JulsSmile [24]

Answer:

Mode

Step-by-step explanation:

If you have an outlier, the best way to measure a set of data is the mode, or the number that occurs the most.

3 0
3 years ago
Find the radius of a sphere with a surface area of 804 cm^2.
Elanso [62]
Surface area of sphere equals its four radii squared multiplied by the number π.
 We have then:
 A = 4 * π * R ^ 2
 Substituting:
 804 = 4 * π * R ^ 2
 Clearing the value of R we have:
 R = root (804 / (4 * π))
 R = 7.99876785 cm
 Nearest whole number:
 R = 8 cm
 Answer:
 The radius of a sphere is:
 B. 8cm
3 0
3 years ago
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