Whats the volume of a rectangular solid with 6 meters in length, 3 meters in width, and 7 meters in height?

(4.3 * 10-3)(2 x 10-2)

FinnZ [79.3K]

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➷ $(4.3\cdot10-3)(2\cdot 10-2)$

➷ $= (43 - 3)((2) (10) -2)$

➷ $= 40 ((2) (10)-2)$

➷ $= 40(20 - 2)$

➷ $= (40)(18)$

➷ $= 720$

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3 0

3 years ago

Read 2 more answers

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

2 years ago

17) List the ways five dogs a Beagle, a Collie, a Greyhound, a Poodle and a

Gnoma [55]

Answer:

10 pairs

It is a combination

Explanation:

This is a combination because the order does not matter: the Beagle - Collie couple is the same as the Collie - Beagle couple, so it is only counted once.

The formula for combinations is:

$C(m,n)=\dfrac{m!}{n!\cdot (m-n)!}$

For five diffferent dogs to be put in pairs, the number of different pairs is:

$C(5,2)=\dfrac{5!}{2!\cdot (5-2)!}=\dfrac{5\times 4}{2}=10$

4 0

3 years ago

How would you find the volume of this cone?

posledela

Area of cone = 1/3 base × height = 1/3 × 8 × 10 = approximately 26.7 m

Ans= approx. 26.4 m

Happy to help. Please mark as brainliest!

4 0

2 years ago

What geographical information was used in alloying the first three digits of social security numbers to the state

Gala2k [10]

Since 1973, social security numbers have been issued by our central office. The first three (3) digits of a person's social security number are determined by the ZIP Code of the mailing address shown on the application for a social security number. Prior to 1973, social security numbers were assigned by our field offices. The number merely established that his/her card was issued by one of our offices in that State. See also High Group List of SSN's.

5 0

2 years ago