The ratio of beef to pork is 3:1. What this means is that out of the 5 pounds of meat Mike will use for his meatloaf, 3 parts of it will be beef and 1 part will be pork, which gives us four parts total.

So the ratio of pork to total meat would be 1:4, or 1/4. Now we need to multiply 5 by 1/4 in order to get the amount of pork. Since multiplying by 1/4 is the same as dividing by 4, we can just divide to make things simpler.

$p = 5 \times \frac{1}{4} \\ p = \frac{5}{4}$

The answer, expressed as an improper fraction, is 5/4. However, the question is asking for a mixed number, so we'll need to convert our answer. We just need to subtract from the numerator so that the fraction is equal to 4/4.

$\frac{5}{4} - \frac{4}{4} = \frac{1}{4}$

Since 4/4 is equivalent to 1, we'll just simplify this further.

$p = \frac{4}{4} + \frac{1}{4} \\ p = 1 \frac{1}{4}$

3 0

3 years ago

Two pipes are used to fill a 300-gallon tub with water. The wide pipe can fill the tub in x hours. The narrow pipe can fill the

Hoochie [10]

Answer:

$\frac{6}{x}-\frac{7}{y}=\frac{7}{12}$

Step-by-step explanation:

#We know that the filling taps will run for a cumulative 4hrs each while the draining hole will empty for a combined 7hrs.

Let x be the rate of the first filling tap, and 2x of the 2nd filling tap and y be the rate of the hole.

#The rate at which the tub fills per hour is :

$V_{tub}=\frac{1}{x}+\frac{1}{2x}-\frac{1}{y}\\\\=\frac{1}{x}(1+\frac{1}{2})-\frac{1}{y}\\\\=\frac{3}{2x}-\frac{1}{y}$

#The volume of the tub at the instant moment the leak is repaired is expressed as:

$V_{tub}=\frac{3}{2x}t_1-\frac{1}{y}t_2=\frac{7}{12}, \ \ \ \ \ \ t_1=4,t_2=7\\\\\\\frac{3}{2x}\times 4-\frac{1}{y}\times7\frac{7}{12}\\\\\\\frac{6}{x}-\frac{7}{y}=\frac{7}{12}$

Hence, the volume of the tub after the leak is repaired is expressed as $\frac{6}{x}-\frac{7}{y}=\frac{7}{12}$

8 0

3 years ago

The scale of a map is 1 cm :12 km find the actual distance for each map distance

FrozenT [24]

Answer:

1) 18

2) 144

3) 51

4) 99.6

Step-by-step explanation:

1) Multiply 1.5 by 12, as 1.5 divided by 1 is 1

2) Multiply 12 by 12, as 12 divided by 1 is 1

3) Multiply 4.25 by 12, as 4.25 divided by 1 is 1

4) Multiply 8.3 by 12, as 8.3 divided by 1 is 1

3 0

3 years ago