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2 years ago

Water comes out of a pipe at a rate of 30 gallons per minute.

Mathematics

2 answers:

valina [46]2 years ago

7 0

Answer:

after 3 minutes there will be 90 gallons of water

Step-by-step explanation:

if one minute pours 30 gallons and it has been going for three minutes, that's three sets of 30 or 3*30. 3*30=90therefore there will be 90 gallons of water in three minutes.

Lyrx [107]2 years ago

3 0

Answer:

Step-by-step explanation:

30x3=90

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If the product of a number and -8 is subtracted from the number the result is 7 more than the number find the number

Leviafan [203]

(-8x-x) 7+x I believe that's the answer

4 0

3 years ago

See question in attached photo.

statuscvo [17]

9514 1404 393

Answer:

(a, b) = (-2, -1)

Step-by-step explanation:

The transpose of the given matrix is ...

$A^T=\left[\begin{array}{ccc}1&2&a\\2&1&2\\2&-2&b\end{array}\right]$

Then the [3,1] term of the product is ...

$(A\cdot A^T)_{31}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}1&2&2\end{array}\right]=a+2b+4$

and the [3,2] term is ...

$(A\cdot A^T)_{32}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}2&1&-2\end{array}\right]=2a-2b+2$

Both of these terms in the product matrix are 0. We can solve the system of equations by adding these two terms:

(a +2b +4) +(2a -2b +2) = (0) +(0)

3a +6 = 0

a = -2

Substituting for 'a' in term [3,1] gives ...

-2 +2b +4 = 0

b = -1

The ordered pair (a, b) is (-2, -1).

8 0

3 years ago

Work out the surface area of this cylinder.<br>with radius 2 cm<br>and height 4 cm

Tju [1.3M]

Answer:

$75.39cm ^{2}$

Step-by-step explanation:

$area = 2\pi \times r \times h + 2\pi \times {r}^{2} \\ = 2 \times \pi \times 2 \times 4 + 2 \times \pi \times 22 \\ = 75.39822cm ^{2}$

3 0

3 years ago

Sandy went to her local zoo that featured 37 monkey exhibits. If the zoo features 49 exhibits in total, then what percent of the

Leona [35]

Answer:

75.5102040816%

Step-by-step explanation:

so the answer is 75% or 75.5%

37 x 100 =3,700

3,700 ÷ 49 =75.5102040816% so the actual answer is 75% bc they want you to round but its 6 and above to round up do you round down to 75%

4 0

2 years ago

Complete the table by providing justification for each step of the proof

exis [7]

4(x² - 2) = 28

1. Distribute the 4
4x² - 8 = -28

2. Plug in 3 and -3
4(3)² - 8 = 28
4(-3)² - 8 = 28

3. Square 3 and -3
4(9) - 8 = 28
4(9) - 8 = 28

28 = 28

The reason both answers are the same is because whenever you put a negative number to an even power, the result becomes positive because any negative multiplied by a negative number is always positive.
28 = 28

5 0

3 years ago