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butalik [34]
3 years ago
11

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 7 inches, a width of 3 inches, and a h

eight of 1 1/2
inches. What is the surface area?
Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

The surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

Given that,

A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2  inches.

The surface area of a rectangular prism is given by :

A=2(lb+bh+hl)

Put all the values,

A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2

So, the surface area of the prism is equal to 72 sq inches.

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Y varies inversely with x. If y = -8 when x = -7, find the y when x=-4.
lora16 [44]

Answer:

y =-14

Step-by-step explanation:

Inverse variation is of the form

xy = k where k is a constant

(-7)(-8) = k

56 = k

The equation is

xy = 56

Let x = -4

(-4)y = 56

y = 56/-4

y =-14

8 0
3 years ago
What is <br>2/3 of 1/4 of x = 1360​
Murljashka [212]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x = 8160}}}}}

Step-by-step explanation:

\sf{ \frac{2}{3}  \times  \frac{1}{4}  \times x = 1360}

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

\longrightarrow{ \sf{ \frac{2 \times 1}{3 \times 4}  \times x = 1360}}

\longrightarrow{ \sf{ \frac{2}{12}  \times x = 1360}}

\longrightarrow{ \sf{ \frac{1}{6} x = 1360}}

Solve for x

\longrightarrow{ \sf{x = 1360 \times 6}}

\longrightarrow{ \sf{x = 8160}}

Hope I helped!

Best regards! :D

5 0
3 years ago
A warehouse contains ten printing machines, five of which are defective. a company selects four of the machines at random, think
Yuri [45]

This kind of situation is modelled by Bernoulli's formula. It applies everytime there is an experiments with two possible outcomes repeated n times. Each repetition is independent on the others, and we know the probability of the two outcomes p and 1-p. If we want the outcome with probability p to appear k times, the probability is


\binom{n}{k}p^k(1-p){n-k}


In your case, you run the "experiment" 4 times (you choose 4 printers) and want that all of them to be non-defective. A printer is non-defective with probability 1/2, since there are 5 defective and 5 non-defective printers.


So, our model is built with n = k = 4, p = 1-p = 1/2. The probability is


P=\binom{4}{4}\left(\cfrac{1}{2}\right)^4\left(\cfrac{1}{2}\right)^0  = 1 \cdot \left(\cfrac{1}{2}\right)^4 \cdot 1 = \cfrac{1}{16}

6 0
3 years ago
The Wing Station wants the average price of the lunch meal deals to be $8.
velikii [3]

Step-by-step explanation:

To calculate the mean, we do the the total divided by the number of values. With 6 values, for the average to be 8, the total needs to be 48. The current total is 41, so Chicken Wings needs to be 7, because 48-41=7

6 0
3 years ago
Read 2 more answers
Starting at 6am a bus makes a stop on 1st ave every 8 mins another bus that also starts at 6am makes a stop on 1st ave every 12
Wewaii [24]

9514 1404 393

Answer:

  2.5 times per hour, on average

  {0:00, 0:24, 0:48, 1:12, 1:36} then repeating at 2:00

Step-by-step explanation:

The least common multiple of the intervals is ...

  LCM(8, 12) = 8·12/GCD(8, 12) = 8·12/4 = 24

The two buses will stop at the same time every 24 minutes. That is 60/24 = 2.5 times per hour.

Starting with the 6:00 am stop, the next joint stop is at 6:24, then 6:48. In the next hour, the stops are at 7:12 and 7:36. This sequence of times repeats, starting at 8:00 am. That is, the cycle repeats every 2 hours.

6 0
3 years ago
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