Sheila gives all 12 people in line 1/2 cup of juice does she given all

Find the surface area. Round to the nearest tenth.

Anton [14]

Answer:

66.4 in^2

Step-by-step explanation:

Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:

16 + 50.4 = 66.4

8 0

1 year ago

George buys some first class and second class stamps to put on some letters. Each first class stamp costs 67p, and each second c

Dafna1 [17]

Answer:

£191.36

Step-by-step explanation:

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide 320 by 5 to find the value of one part of the ratio.

320 ÷ 5 = 64 ← value of 1 part of the ratio , thus

4 parts = 4 × 64 = 256

Thus he bought 64 first class and 256 second class.

Cost = (64 × £0.67) + (256 × £0.58)

= £42.88 + 148.48

= £191.36

3 0

2 years ago

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow

mel-nik [20]

Hi there! Hopefully this helps!

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It decreased by 30 cents per week.

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The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

Rate of change = $\frac{-60 -10 -20}{3}$ .

(-60 + -10 + -20 = -90). So, to simplify it:

$\frac{-90}{3}$ = -30

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Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

3 0

2 years ago

PLEASE HELP!!!!! 3, 8, 13, 18, 23, .... The recursive formula for this sequence is:

rodikova [14]

Answer:

a₈ = 37

Step-by-step explanation:

The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .

The recursive formula for the sequence is: $a_n = a_{n - 1} + 5$

Here, $a_n$ represents the $n^{th}$ of the sequence.

And, $a_{n - 1}$ represents the $(n - 1)^{th}$ of the sequence.

'+5' denotes that '5' is added to the $(n - 1)^{th}$ term to get the $n^{th}$ term. In other words, the difference between two consecutive numbers in the sequence is 5.

Now, we are asked to find a₈ i.e., n =8.

Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.

So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.

⇒ a₆ = 23 + 5 = 28.

⇒ a₇ = 28 + 5 = 32.

⇒ a₈ = 32 + 5 = 37.

Therefore, the $8^{th}$ term of the sequence is 37.

8 0

2 years ago

Question

ladessa [460]

Answer:

Step-by-step explanation:

4s + 2j = 68........2j = -4s + 68........j = -2s + 34

3s + 3j = 81

3s + 3(-2s + 34) = 81

3s - 6s + 102 = 81

3s - 6s = 81 - 102

-3s = - 21

s = -21/-3

s = 7 <==== shirts cost 7 bucks

j = -2s + 34

j = -2(7) + 34

j = -14 + 34

j = 20 <===== jeans cost 20 bucks

7 0

2 years ago