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3 years ago

Working together,edith and rupert can pick 3 quarts of blueberries in an hours.how many quarts can they pick in 7 hours?

Mathematics

2 answers:

Tatiana [17]3 years ago

4 0

Answer: 21 quarts

Step-by-step explanation:

Given : Working together,Edith and Rupert can pick 3 quarts of blueberries in an hour.

i.e. The number of quarts of blueberries they pick in one hour = 3

Then, the number of quarts they can pick in 7 hours is given by :-

$3\times7=21$

Hence, the number of quarts they can pick in 7 hours is 21 quarts.

expeople1 [14]3 years ago

3 0

Since they pick 3 quarts in 1 hour they can pick 6 quarts in 2 hours and 9 quarts in 3 and so on. So the number of quarts they can pick in a certain amount of hours is just the total number of hours they spend picking times 3 quarts. So since they picked for 7 hours and each of those hours they picked 3 quarts, in total they picked 21 quarts

7 x 3 = 21 quarts

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3,15,75,375 9th term

e-lub [12.9K]

Answer:

1,171,875

Step-by-step explanation:

The sequence is multiplying by 5 every time. It will be 3, 15, 75, 375, 1875, 9375, 46,875, 234,375, and then 1,171,875

5 0

3 years ago

A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.

Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be $4w+3l$ .

We can set our given information in an equation $4w+3l=300$ .

The area of the two pens would be $A=2l\cdot w$ .

From perimeter equation, we will get:

$w=\frac{300-3l}{4}$

Substituting this value in area equation, we will get:

$A=2l\cdot (\frac{300-3l}{4})$

Since we need to maximize area, so we need to find derivative of area function as:

$A=\frac{600l-6l^2}{4}$

Bring out the constant:

$A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)$

$A=\frac{1}{4}*(600-12l)$

$A=150-3l$

Now, we will set our derivative equal to 0 as:

$150-3l=0$

$150=3l$

$\frac{150}{3}=\frac{3l}{3}$

$50=l$

Now, we will substitute $l=50$ in equation $w=\frac{300-3l}{4}$ to solve for width as:

$w=\frac{300-3(50)}{4}$

$w=\frac{300-150}{4}$

$w=\frac{150}{4}$

$w=37.5$

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0

3 years ago

What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9

Dmitrij [34]

Hey there!

The answer to your question is $4x^2+2x-2$

Given:

$x^2-3x+7$ $and$ $3x^2 +5x-9$

First, we can start by adding like terms. The following are like terms:

$x^2$ $and$ $3x^2$

$-3x$ $and$ $5x$

$7$ $and$ $-9$

Now, we can add these pairs together, giving us:

$4x^2$

$2x$

$-2$

Now, add all this together, and we get our answer as:

$4x^2 + 2x - 2$

Have a terrificly amazing day!

7 0

3 years ago

ABC is similar to DEF. Find x.

san4es73 [151]

<h3>Answer: 25</h3>

Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.

The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5

Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.

We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.

3 0

3 years ago

Help NOW PLEASE

-BARSIC- [3]

Answer

(3x-3)

Step-by-step explanation:

4 0

3 years ago