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Readme [11.4K]
3 years ago
10

the aquarium of americas has two new shark tanks. each shark tank holds a total of 1,440 gallons of water. the ratio of sharks t

o gallons of water in tank 1 is 8 to 120 and the ratio of sharks to gallons of water in tank 2 is 3 to 90
Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

144 total  # sharks

Step-by-step explanation:

Don't know what it is that you are looking for BUT here is the total number of sharks

1440 / 120 * 8     +  1440 / 90  * 3 =

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Factor the binomial using its GCF: 10x-15x^4
Igoryamba

Answer:

5x(2 - 3x³)

Step-by-step explanation:

10x-15x^4

The GCF( Greatest Common Factor) of 10x-15x^4 is 5x

Solve:

10x/5x = 2

-15^4/5x = -3x³

Final answer is

5x(2 - 3x³)

                         <u>Check</u>

5x(2 - 3x³)

distribute

5x(2) + 5x(-3x³)

10x - 15x^4

4 0
4 years ago
Read 2 more answers
Find mㄥPQR if ray QT bisects ㄥPQR, mㄥRQT = (10x - 13)°, and mㄥPQT = (6x + 1)°.
Ivanshal [37]

It is given in the question that ray QT bisects ㄥPQR.

m \angle RQT = (10x - 13), \ and \ m \angle PQT = (6x + 1)

And we have to find the measurement of angle PQR.

Since QT bisects angle PQR,  therefore measurement of angle RQT and angle PQT are equal. That is

10x-13=6x+1&#10;\\&#10;4x =14&#10;\\&#10;x = 3.5

Substituting the value of x, we will get

m \angle RQT=10*3.5-13 = 22 degree

And measurement of angle PQR is twice of the measurement of angle RQT, that is

m \angle PQR= 44


4 0
4 years ago
Using the property of exponents, what do you need to multiply 10^-2 by to get 10^-4?
r-ruslan [8.4K]

Answer:

We conclude that using the property of exponents, we need to multiply 10² to get 10⁴. Step-by-step explanation: Let 'x' be the number we need to multiply 10² by to get 10⁴. Therefore, we conclude that using the property of exponents, we need to multiply 10² to get 10⁴.

8 0
3 years ago
1) Eliot and William went hiking. They went at the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It too
Vitek1552 [10]

Answer:

1) 2 hours

2) 96 miles

Step-by-step explanation:

1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.

<u>Elliot:</u>

Distance = 8 miles

Speed = x mph

Time =\dfrac{8}{x} hours

<u>William:</u>

Distance = 12 miles

Speed = x mph

Time =\dfrac{12}{x} hours

It took Eliot 40\ min=\dfrac{40}{60}\ hour=\dfrac{2}{3}\ hour less than William, then

\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph

So, William's hike was

\dfrac{12}{6}=2

hours long.

2) <u>Initially:</u>

Distance = 120 miles

Speed = 55 mph

Time =\dfrac{120}{55}=2\dfrac{10}{55}=2\dfrac{2}{11}\ hours

<u>Final:</u>

Speed = 44 mph

Time =2\dfrac{2}{11} hours

Distance =44\cdot 2\dfrac{2}{11}=44\cdot \dfrac{24}{11}=4\cdot 24=96\ miles

8 0
3 years ago
I need helping with dis
avanturin [10]

10.


0.3 r = 2.1


r = 2.1/0.3 = 21/3 = 7


Answer: 7


11.


8 \textrm{ hours} \times \dfrac{ 5 \textrm{ dollars}}{\textrm{car}} \times \dfrac{ 12 \textrm{ cars}}{3 \textrm{ hours}} = 160 \textrm{ dollars}


Answer: $160


12.


\dfrac{5 \textrm{ dollars}}{\textrm{week}} \times w \textrm{ weeks} = 5w


Answer: 5w





7 0
4 years ago
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