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3 years ago

How much alfalfa does Helmut need to add to 30L of ostrich pellets to make a feed mix that is 40% alfalfa by volume?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

a = 20 . . . . liters

Step-by-step explanation:

To solve this, multiply the equation by 30+a:

a = 0.4(30 +a)

a = 12 + 0.4a . . . . . eliminate parentheses

0.6a = 12 . . . . . . . . subtract 0.4a

a = 12/0.6 = 20 . . . divide by the coefficient of a

20 L of alfalfa must be added

_____

Check

20/(30+20) = 20/50 = 40/100 = 0.4 . . . . . . answer checks OK

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The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

4 0

3 years ago

Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal

brilliants [131]

Answer:

After buying the meal and the computer game, Kristian has 43.33% of his money left.

Step-by-step explanation:

Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:

72 = 100

8.40 + 32.40 = X

72 = 100

40.80 = X

40.80 x 100/72 = X

4,080 / 72 = X

56.66 = X

100 - 56.66 = 43,333

Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.

7 0

2 years ago

The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are fas

irinina [24]

Answer:

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝) = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative hypothesis H₁ : μ ≠ 18.4

Test statistic

$Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{18.7-18.4}{\frac{1.5}{\sqrt{35} } }$

Z = 1.183

Conclusion:-

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

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2 years ago

If a represents the hypotenuse of this right triangle, which equation could you use to find the value of a?

Nitella [24]

The answer is D because they are both legs and you are looking for the hypotenuse

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2 years ago

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meriva

Answer:

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Step-by-step explanation:

The y-intercept is where the line touches the y axis meaning that x is 0.

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2 years ago

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