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NeTakaya
2 years ago
10

Michaels has one liter of fruit punch. He gives 200 ml to leila, 200 ml to daniel, and 300 ml to alexa. how much does Michael ha

ve left? write an equation that explains.
Mathematics
1 answer:
stiv31 [10]2 years ago
6 0
One liter equals 1000 ml

1000-(200+200+300)=1000-700=300

Michael has <em>300 ml</em> of fruit punch left.
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Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria
Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is <u>645.3 cubic inches</u>.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = \frac{base}{2}=\frac{10}{2}=5\ inches.

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2

<em>Using square root on both sides we get:</em>

<em />19.36=leg2<em />

<em>leg 2 = 19.36 inches.</em>

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

Volume=a^2\frac{h}{3}

Volume=10^2\times \frac{19.36}{3}

Volume=100\times 6.453

Volume=645.3\ cubic\ inches.

<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0
2 years ago
-4-3 (6x + 9) = 41?<br> Explain what to do first and what is the answer
lara31 [8.8K]

Answer:

x = -2

Step-by-step explanation:

- 3 x - 6x = -18x

- 4 - 18x + 9 = 41

9 - 4 = 5

- 18x + 5 = 41

- 18x = 41 - 5

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36 divided by -18 is -2

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3 years ago
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Flura [38]
Here, our equation is 3/5 (0.6) mile per 1/4 (0.25) hour.  0.25 times 4 = 1, so we have to multiply 1/4 (0.25) 4 times to get 1 mile. To get a proportional answer, we must also multiply 3/5 (0.6) by 4. This comes out to 2.4. So her walking rate is 2.4 miles per hour.


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3 years ago
Which logarithmic equation is equivalent to the exponential equation below?
Nataly_w [17]
With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
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8 0
3 years ago
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A2= 1
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