All categories

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

You might be interested in

A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st

kozerog [31]

Answer:

A. The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

B.

Using s = 32t, we have:

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3. Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

Note: Same answer to question 14436233, answered by me today.

4 0

3 years ago

A.3(f) The line graphed on the grid represents the first of two equations in a system of linear equations.

Aneli [31]

I don’t any idea for this

6 0

3 years ago

School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled in the school. If x repre

NISA [10]

First, let's write down this inequality:
There are at least 245 students enrolled in the school.

y≥245

This inequality says what the sentence says!

now, the number of teachers must be:
x≥2*(y/25)
(two times the number of groups of students of 25!)

so those two inequalities, taken together will be the answer!

6 0

3 years ago

Read 2 more answers

R is inversely proportional to A.

hjlf

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ $\frac{1}{A}$

so, R = $\frac{k}{A}$ -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

12 = $\frac{k}{1.5}$

or, k = 12×1.5 = 18

From eq 1 we get,

R = $\frac{18}{A}$ --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = $\frac{18}{5}$ = 3.6

b) Putting R = 9 in eq 2 we get

R = $\frac{18}{A}$

or, A = $\frac{18}{9}$ = 2

5 0

3 years ago

Read 2 more answers

You choose a tile at random from a bag containing 4 A’s, 3 B’s, and 5 C’s. You replace the first tile in the bad and then choose

shtirl [24]

Answer:

P(B and B) = 1/9

Step-by-step explanation:

There are 4+3+5 = 12 tiles in total

The probability of selecting a B would be 4/12=1/3

When you are replacing a B tile, planning to pick a B tile again, the total tile count doesn't change. Therefore, because the two events are independent, their probabilities are multiplied and so P(B and B) = P(B) * P(B) = 1/3 * 1/3 = 1/9

3 0

3 years ago