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neonofarm [45]
2 years ago
13

Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes and large boxes of apples. Matt sold 5 sm

all boxes of apples and 15 large boxes of apples for a total of $ 165 . Ming sold 11 small boxes of apples and 9 large boxes of apples for a total of $ 147 . Choose the system of equations that represent the situation.
Mathematics
1 answer:
BartSMP [9]2 years ago
7 0

Mind helping me on this? brainly.com/question/23506969 thanks!

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What are the steps into solving this equation?
zhannawk [14.2K]
First, you must do the parentheses!!!
Next, when you are done solving the parentheses, you will do the outside numbers!!
Then, when doing the outside numbers, you'll combine(doing +, ×, ÷ or -)
And finally, you get your answer!!!

:):):):):)
4 0
3 years ago
(c). It is well known that the rate of flow can be found by measuring the volume of blood that flows past a point in a given tim
aleksklad [387]

(i) Given that

V(R) = \displaystyle \int_0^R 2\pi K(R^2r-r^3) \, dr

when R = 0.30 cm and v = (0.30 - 3.33r²) cm/s (which additionally tells us to take K = 1), then

V(0.30) = \displaystyle \int_0^{0.30} 2\pi \left(0.30-3.33r^2\right)r \, dr \approx \boxed{0.0425}

and this is a volume so it must be reported with units of cm³.

In Mathematica, you can first define the velocity function with

v[r_] := 0.30 - 3.33r^2

and additionally define the volume function with

V[R_] := Integrate[2 Pi v[r] r, {r, 0, R}]

Then get the desired volume by running V[0.30].

(ii) In full, the volume function is

\displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr

Compute the integral:

V(R) = \displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr

V(R) = \displaystyle 2\pi K \int_0^R (R^2r-r^3) \, dr

V(R) = \displaystyle 2\pi K \left(\frac12 R^2r^2 - \frac14 r^4\right)\bigg_0^R

V(R) = \displaystyle 2\pi K \left(\frac{R^4}2- \frac{R^4}4\right)

V(R) = \displaystyle \boxed{\frac{\pi KR^4}2}

In M, redefine the velocity function as

v[r_] := k*(R^2 - r^2)

(you can't use capital K because it's reserved for a built-in function)

Then run

Integrate[2 Pi v[r] r, {r, 0, R}]

This may take a little longer to compute than expected because M tries to generate a result to cover all cases (it doesn't automatically know that R is a real number, for instance). You can make it run faster by including the Assumptions option, as with

Integrate[2 Pi v[r] r, {r, 0, R}, Assumptions -> R > 0]

which ensures that R is positive, and moreover a real number.

5 0
2 years ago
What is the equation of the line that passes through the point (-1, 4) and has a<br> slope of -5?
AfilCa [17]

Answer:

Step-by-step explanation:

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 1

4 0
2 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. seven h
Lelu [443]


120 + 120 + 120 + 180 + 180
3 0
3 years ago
Find the value of x. Round to the nearest tenth.
Sphinxa [80]

Answer:

14.86854, or 15

Step-by-step explanation:

3 0
2 years ago
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