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3 years ago

Solving literal equations. Ax+by=c

Mathematics

1 answer:

Studentka2010 [4]3 years ago

6 0

What are you asking? what do they want you to solve for? which variable?

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A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m

dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.

So the strength at that time = (420* 6) + 280*4) / 700

= 5.2%.

6 0

3 years ago

In 2010, the world's largest pumpkin weighed 1,810 kilograms. An average-sized pumpkin weighs 5,000 grams.

jekas [21]

Answer:

1,805 kg.

Step-by-step explanation:

We have been given that in 2010, the world's largest pumpkin weighed 1,810 kilograms. An average-sized pumpkin weighs 5,000 grams. We are asked to find the how much the world's largest pumpkin weighs than an average pumpkin.

First of all, we will convert the weight of average pumpkin in kilograms by dividing 5,000 by 1000 as 1 kg equals 1,000 gm.

$\text{The weight of average pumpkin}=\frac{5000\text{ gm}}{\frac{\text{1000 gm}}{\text{ 1 kg}}}$

$\text{The weight of average pumpkin}=5000\text{ gm}\times \frac{\text{ 1 kg}}{\text{1000 gm}}$

$\text{The weight of average pumpkin}=5\text{ kg}$

Now, we will subtract the weight of average pumpkin from world's largest pumpkin's weight.

$1,810\text{ kilograms}-5\text{ kilograms}=1,805\text{ kilograms}$

Therefore, the 2010 world-record pumpkin weighs 1,805 kilograms more than an average-sized pumpkin.

3 0

4 years ago

Read 2 more answers

Which inequality represents the following sentence? <br> Eight fewer than a number is at least 20.

timofeeve [1]

Answer:

x-8>20

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Fatema is making three hanging lanterns. They are each in the shape of a cone with a base radius of 0.5 feet and a slant height

Anastasy [175]

Answer:

$9.42\ ft^{2}$

Step-by-step explanation:

step 1

Find the surface area of one hanging lantern

we know that

The surface area of a cone (hanging lantern) is equal to

$SA=\pi r^{2} +\pi rl$

we have

$r=0.5\ ft$

$l=1.5\ ft$

assume

$\pi=3.14$

substitute the values

$SA=(3.14)(0.5)^{2} +(3.14)(0.5)(1.5)$

$SA=3.14\ ft^{2}$

step 2

Find the surface area of the three hanging lanterns

$SA=(3)*3.14=9.42\ ft^{2}$

6 0

3 years ago

The ratio of boys to girls at Deerview Middle school is 5:3. If there are 120 boys at the school, how many total students are th

Marizza181 [45]

Answer:

192 students are at the school

Step-by-step explanation:

120 / 5 = 24

24 x 3 = 72

72 + 120 = 192

7 0

3 years ago

Read 2 more answers