A restaurant owner spends 892 for 65 pounds of produce. Which equation could you use to find the price per pound

What is the volume of a sphere with a radius of 4

Ede4ka [16]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

$V = \frac{4}{3}\pi r^{3}$

Here, we are given that our sphere has a radius of 4 units.

So plugging into the formula, we have $(\frac{4}{3})(\pi)(4 units)^{3}$ .

Start by simplifying the exponent.

(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.

So we have $(\frac{4}{3})(\pi)(64 units^3})$ .

Next, we multiply (4/3)(64) which can

be thought of as (4/3)(64/1)

So multiplying across the numerators and across the denominators,

we have $\frac{256}{3} \pi units^{3}$ .

5 0

3 years ago

A bag contains five red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. What is the probability

Vikentia [17]

n(s)= 5+4+4=13

n(e)= red + blue

=5+4

=9

so, p(e) = n(e)/n(s)

p(e)= 9/13

=0.69

it's your answer

it will help.

7 0

3 years ago

In the diagram, HGF is a straight line. Given EF = 4 cm and HG = GF = 3 cm, find :

Alecsey [184]

If HG and GF are both 3, then the whole length of the base is 6. The tan ratio is the side opposite the reference angle (length 4) over the side adjacent to the angle (length 6), which for us looks like this:
$tan(x)= \frac{4}{6} = \frac{2}{3}=.6666667$
Now use the inverse tan button (2nd-->tan) to get
$tan^{-1} (.66667)=33.69$
As far as the sin y goes, you have to use the Law of Sines because you are not working with a right triangle in that case. I mean you are as far as having to find out what the hypotenuses are triangle EFH and triangle EFG. The hypotenuse in triangle EFH is 7.211, and the hypotenuse in triangle EFG is 5. Using the Law of Sines to solve for y, you get this:
$\frac{siny}{7.211} = \frac{sin33.69}{5}$
Solving for y and using the inverse sin gives you that y = 53.12
If you are not familiar with setting up the Law of Sines, nothing I could tell you here would help. If you are familiar, then you get the idea of where the numbers came from and why they are set up that way. Hope that helps. That second part was quite hard.

7 0

3 years ago

×^2+4x-5/×^2+7x+1<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%2B%204x%20%2B%20-%205%20%7D%20%20%20

Serjik [45]

(4x2 – 4x – 7)(x + 3)

(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)

4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)

4x3 – 4x2 – 7x + 12x2 – 12x – 21

4x3 – 4x2 + 12x2 – 7x – 12x – 21

4x3 + 8x2 – 19x – 21

6 0

3 years ago

Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as m

defon

Step-by-step explanation:

This is a word problem that we must translate to mathematical expression before we can solve.

let the individual saving be the first letters of the names

Jada= J

Lin= L

Elena= E

1. Jada saved $20 less than Lin

J=L-20

2. Lin saved 3 times as much money as Elena

L= 3E

3. Hence Elena saved

E

Together they saved $120.

hence

(L-20)+3E+E= 120

L-20+3E+E= 120

collecting like terms we hav

L+4E=120+20

L+4E= 140

but we know that L= 3E

3E+4E= 140

7E= 140

divide both sides by 7 we have

E= 140/7

E= $20

This means Elena saves $70

also L= 3E

L= 3*20

L= $60

this means that Lean saved $60

also J=L-20

J= 60-20

J= $40

This means that Jada saved $40

6 0

3 years ago