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mestny [16]
3 years ago
15

Someone please help me with this question

Mathematics
1 answer:
yan [13]3 years ago
7 0
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.

14/50=x/7500

x represents how much trout is in the lake, we don’t know yet, but we’ll find out.

First, cross multiply.

14*7500=105000
50*x=50x

Now let’s turn this into an equation.

50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100

x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
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What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)
Sav [38]
K= change in y/ change in x
K= (30-18)/(5-3)
K=12/2
K=6
4 0
3 years ago
What is the volume of a cone that has a height of 10 feet and a base with a diameter of 2 and half feet?
lyudmila [28]
Volume of a cone: 1/3\pir²h
r is the radius (diameter ÷ 2) and h is the height.

Find the radius first using the diameter: 2\frac{1} {2} ÷ 2 = 1.25

Now plug in the numbers into the formula.

1/3\pi1.25²10 = <span>16.4
</span>
The volume of the cone is 16.4 cubic feet.
6 0
3 years ago
Find the missing term (x^12)^5 x (x^-2)^9 x what =(x^40)^5
Annette [7]

Answer:

x^{158}

Step-by-step explanation:

We are given,

(x^{12} )^{5} \times (x^{-2} )^{9} \times y = (x^{40} )^{5}.

It is required to find the value of y.

Now, on simplifying above equation, we get,

x^{60} \times x^{-18} \times y = x^{200}

i.e. x^{42} \times y = x^{200}

i.e. y = x^{200} \times x^{-42}

i.e. y = x^{158}

Hence, the missing term is x^{158}.

3 0
3 years ago
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if you want to buy a shirt that cost 18.99 but you have 20% off coupon and the tax is 7%. how much does the shirt cost
dusya [7]

20% off means you pay 80% of the price so you multiply by 0.8, and 7% tax means you multiply by 1.07

Resulting cost = 18.99*0.8*1.07 = 16.26

Hope this helps let me know if im wrong!

7 0
3 years ago
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A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.
Anit [1.1K]

Answer:

103.9 lb.

Step-by-step explanation:

T cos 30°+T cos 30°=180

2T cos 30°=180

T=103.9 lb.

6 0
2 years ago
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