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lyudmila [28]
3 years ago
15

Mr. Smith has a honeybee colony on his farm. On average, 1,000 bees can gather enough nectar for 1 ounce of honey each day. If M

r. Smith wants his bees to produce 3.5 pounds of honey each week, how many bees will he need in his bee colony?
Mathematics
1 answer:
Ber [7]3 years ago
6 0

Answer:

56,000 bees or 8,000 bees every day for 7 days

Step-by-step explanation:

16 ounces = a pound so 16,000 bees we need to know how many bees we need so we do 16,000 times 3 =48,000 bees but we go .5 left so we divide the 16,000 into 8,000 and add that to 48,000 to = 56,000 bees to produce 3.5 pounds of honey every week there are also 7 days in a week so you can do 56,000 divide by 7 to = 8,000 bees per day to get 3.5 pounds of honey

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Alex777 [14]

Answer:

x=1+t\\y=4-t\\z=4+2t

Step-by-step explanation:

A vector perpendicular to the plane ax+by+cz+d=0 is of the form (a,b,c).

So, a vector perpendicular to the plane x − y + 2z = 7 is (1,-1,2).

The parametric equations of a line through the point (x_0,y_0,z_0) and parallel to the vector (a,b,c) are as follows:

x=x_0+at\\y=y_0+bt\\z=z_0+ct

Put (x_0,y_0,z_0)=(1,4,4) and (a,b,c)=(1,-1,2)

Therefore,

x=1+t\\y=4-t\\z=4+2t

xy-plane:

Put z = 0 ⇒ t = -2 ⇒x = - 1 , y = 6

So, at point (-1,6,0)

yz-plane:

Put x = 0 ⇒ t = -1 ⇒ y = 5, z =2

So, at point (0,5,2)

xz-plane:

Put y = 0 ⇒ t = 4 ⇒ x = 5, z = 12

So, at point (5,0,12)

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3 years ago
Element X is a radioactive isotope such that every 20 years, its mass
faust18 [17]

Answer:

12.1

Step-by-step explanation:

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270=410(1/2)^t/20

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0.6585365854 = (1/2)^t/20

Log Both sides

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.6026645024= t/20

20 x .6026645024 = t

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3 years ago
10pts FOR WHEVER ANWSERS ASAP PLZ!!
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Answer:

B.

Step-by-step explanation:

Both sides of equation are the same, making the amount of solutions infinite.

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3 years ago
If x+ay =b and<br> ax-by=c <br> Then find out x , y . (with process)
n200080 [17]

Answer:

The solution of the given system of equations is,

x=\frac{b^2+ac}{a^2+b};\; y=\frac{ab-c}{a^2+b}

Step-by-step explanation:

The given equations are :

<em>x</em> + a<em>y</em> = b          .......(1)

a<em>x</em> - b<em>y</em> = c        .......(2)

We will use 'Substitution Method' to solve the given system of equations.

In this method, we will find out the value of either of the two variables that is '<em>x</em>' and '<em>y</em>' from one of the two equations in terms of the another variable  and then substitute that value in the other equation to find the value of the another variable.

Now, we will be finding out the value of '<em>x</em>' in terms of '<em>y</em>' from equation (1) and then substitute it in the equation (2).

Consider the equation (1), that is,

   <em>x</em> + a<em>y</em> = b ⇒ <em>x</em> = b - a<em>y</em>          ........(3)

Substitute the value of '<em>x</em>' from (3) in (2), we get

  a(b - a<em>y</em>) - b<em>y</em> = c

⇒ab - a²<em>y</em> - b<em>y</em> = c

⇒-a²<em>y</em> - b<em>y</em> = c - ab

⇒-<em>y</em>(a²+b) = c - ab

⇒<em>y</em>(a²+b) = ab - c

\implies y=\frac{ab-c}{a^{2}+b}

Now, substituting the above value of '<em>y</em>' in equation (3), we get

x=b-a(\frac{ab-c}{a^2+b})

\implies x=\frac{b(a^2+b)-a(ab-c)}{a^2+b}

\implies x=\frac{a^2b+b^2-a^2b+ac}{a^2+b}

\implies x = \frac{b^2+ac}{a^2+b}

Hence, the solution of the given system of equations is,

x = \frac{b^2+ac}{a^2+b} ;\; y = \frac{ab-c}{a^2+b}

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What is 65 percent of 181
Lady_Fox [76]
65% of 181 is 117.65
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3 years ago
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