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kifflom [539]
3 years ago
15

Please can you help me with this questions # 3 - # 7. Thanks.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
4 0
#3
385 of 438 is 170.24 but since you cant have a quarter of a person it would be about 170 student
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Yesterday annie walked 9tenth mile to her friends house they walk 1/3 mile to the library which is the best estimate for how far
aleksklad [387]
This could be an adding fractions problem. We can add the two fractions together and then determine how many miles she walked.

 9       1
--- + ----
10     3

First, we need to find a common denominator. It would be 30, since this is the smallest number both 3 and 10 go into.

So, after that, we need to multiply each numerator by the number we needed to multiply our denominator by to get to 30.

So, 10 times 3 equals 30. So, we need to multiply 9 by 3 as well, which is 27.

Our new fraction here would be:

27
----
30

Next, to get 30, we need to multiply 3 by 10 to get 30. So, we also need to multiply 1 by 10, which is 10. 

Our new fraction would be:

10
---
30

So lets take a look at our new equation.

27   10
--- + ---- 
30   30

Lets add them together. Remember the denominators need to stay the same:

37
----
30

Now that we have an improper fraction, we need to simplify it. 37 goes into 30 once, and we have 7 left over.

So, our final answer would be:

1 and 7
         ----  of a mile.
          30
8 0
3 years ago
Luna buys gummy bears that come in 3.53-ounce bags. How many ounces of gummy bears are there in 3 bags? ounces
leonid [27]

Answer:

10.59 ounces

Step-by-step explanation:

The answer is 3.53 * 3 = 10.59 ounces.

7 0
3 years ago
Read 2 more answers
Solve for M: 2K − 1 2 = 3 M
LenKa [72]
-2 = KM, just simplify the equation.
5 0
3 years ago
The intersection of two lines is a
pashok25 [27]
The interstection of 2 lines is a plane
8 0
3 years ago
The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.
vfiekz [6]

Answer:

Minimum surface area =70.77 cm^2

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container=54 cm^3

We have to find the minimum surface areas that this container will have.

Volume of container=l\times b\times h

x\times 2x\times h=54

2x^2h=54

h=\frac{54}{2x^2}=\frac{27}{x^2}

Surface area of container=2(b+l)h+lb

Because the container does not have lid

Surface area of container=S=2(2x+x)\times \frac{27}{x^2}+2x\times x

S=\frac{162}{x}+2x^2

Differentiate w.r.t x

\frac{dS}{dx}=-\frac{162}{x^2}+4x

\frac{dx^n}{dx}=nx^{n-1}

Substitute \frac{dS}{dx}=0

-\frac{162}{x^2}+4x=0

4x=\frac{162}{x^2}

x^3=\frac{162}{4}=40.5

x^3=40.5

x=(40.5)^{\frac{1}{3}}

x=3.4

Again differentiate w.r.t x

\frac{d^2S}{dx^2}=\frac{324}{x^3}+4

Substitute x=3.4

\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area =\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2

8 0
4 years ago
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