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Sonja [21]
3 years ago
6

Simplify to create an equivalent expression 6(7-3y)+6(y+1)

Mathematics
2 answers:
Ivanshal [37]3 years ago
7 0

The answer and work is in the attched sheet!

Hope I helped~! :)

NeTakaya3 years ago
6 0

Answer:

-12y+48

Step-by-step explanation:

6(7-3y)+6(y+1)

42-18y+6y+6

-12y+42+6

-12y+48

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The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
During the spring and summer months, the Happy Home Motel sees a rise in travelers. The manager of the motel turned in this repo
Korvikt [17]

Answer:

342

Step-by-step explanation:

Let's see the difference is each successive values:

232 - 217 = 15

252 - 232 = 20

277 - 252 = 25

307 - 277 = 30

As we can see, each month the increase is 5 more than previous months' increase. <em>Clearly from the pattern we can surmise that the next month (August), it will increase by 35 from the value of July.</em>

Number of visitors in August = Number of Visitors in  July + 35 = 307 + 35 = 342

4 0
3 years ago
Read 2 more answers
a dolphin is swimming 18 feet below the surface of the ocean. there is a coast guard helicopter 75.5 feet above the surface of t
Sever21 [200]

Answer:

93.5

Step-by-step explanation:

I think because u would take -18 -18 + 75.5.

can I have brainlist please.

6 0
2 years ago
A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi
My name is Ann [436]

Answer:

option C

c. least: $101

greatest: $1001

Step-by-step explanation:

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.

Sum of 10 prizes = 5510

100 is the difference. there is a common difference d=100

So its a arithmetic sequence

the sum formula for arithmetic sequence is

S_n = \frac{n}{2}(2a_1 +(n-1)d)

Sn = 5510, n=10 n d= 100 we need to find out first term a1

5510 = \frac{10}{2}(2a_1 +(10-1)100)

5510 = 5 (2a1 + 900)

5510 = 10a1 + 4500

Subtract 4500 on both sides

1010= 10a1

divide by 10 on both sides

a1 = 101

so first term that is least term is 101

To find out greatest term we use formula

a_n = a_1 + (n-1) d

a(10) = 101 + (10-1)100

= 101 + 900= 1001

greatest is 1001

4 0
3 years ago
For the function f(n) = 2n - 7, determine n when f(n) = 11
Gelneren [198K]
In the equation f(n) = 2n - 7
     f(11) = 15
6 0
3 years ago
Read 2 more answers
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