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Butoxors [25]
3 years ago
6

The ratio of goldfish to gallons of water is 7 to 2. How many goldfish can you get if you have 16 gallons of water? __________ a

nd How many gallons of water do you need to keep 28 fish? ____________.
Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer: 56, 8

Step-by-step explanation:

Given

The ratio of goldfish to gallons of water is 7:2

If there is 16 gallons of water. For x goldfish, We can write

\Rightarrow \dfrac{7}{2}=\dfrac{x}{16}\\\\\Rightarrow x=7\times8\\\Rightarrow x=56

If there are 28 fish, for y gallons of water we can write

\Rightarrow \dfrac{7}{2}=\dfrac{28}{y}\\\\\Rightarrow y=2\times 4\\\Rightarrow y=8\ \text{gallons}

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Find all solutions in the interval (0,2pi) you should get kpi and pi/4 but how do you get there
Ket [755]

Add sin(x) to both sides

tan(x)sin(x)=sin(x)

Divide sin(x) from both sides

tan(x)=1

now you just have to figure out where tan(x)=1. you can figure this out from there by looking at the unit circle.

4 0
4 years ago
Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for
butalik [34]

Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

13y + 18(7 - y) = 111

13y + 126 - 18y = 111

-5y = -15

5y = 15

y = 15 / 5

y = 3

Put the value of y into equation (3) to get x

x = 7 - y

Then

x = 7 - 3

x = 4

Hence, 4 people ordered streak dinner

and 3 people ordered chicken dinner

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

3 0
3 years ago
What is the decimal multiplier to decrease by 30%?
sdas [7]
The decimal multiplier to decrease by 30 is .7
7 0
3 years ago
Can someone help me with this plz??
Anarel [89]

Answer:

f(-3) = -2(-3)^3 - 3

f(-3) = 54 - 3

f(-3) = 51

g(3) = -5(3) + 4

g(3) = -15+4

g(3) = -11

Hope this helps!

5 0
3 years ago
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,
REY [17]

Answer:

a) 217

b) 1351

c) 5403

Step-by-step explanation:

Given that:

confidence interval (c) = 0.95

\alpha =1-0.95=0.05\\\frac{\alpha }{2} =\frac{0.05}{2}=0.025

The Z score of \frac{\alpha }{2} is from the z table is given as:

Z_{\frac{\alpha }{2} }=Z_{0.025}=1.96

Range = $45000 - $30000 = $15000

The standard deviation (σ) is given as:

\sigma=\frac{Range}{4} =\frac{15000}{4}=3750

Sample size (n) is given as:

 n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2

a) E = $500

n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{500} )^2 ≈ 217

b) n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{200} )^2 ≈ 1351

c) n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{100} )^2 ≈ 5403

7 0
3 years ago
Read 2 more answers
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