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3 years ago

2 very easy questions for 40 points

Mathematics

2 answers:

In-s [12.5K]3 years ago

8 0

Answer:

x=number of students

7= 40-(2 times x)

x= 16.5 or 16 beacuse you cant have half a student

x=number of hours

27= 10+ 2x

x=amanda rented the bike for 8.5 hours

Varvara68 [4.7K]3 years ago

7 0

4.a)2x+10 >27
4.b) 27-10= 17
17/2=8.5
3.a) 40-2x>7
3.b) 7-40=-33
-33/-2=16.5
So 16 students in her class

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0.5y/4/9=y+3/8

PIT_PIT [208]

Step-by-step explanation:

The question needs to be more specific. But assuming it is 0.5y/(4/9), I will solve it.

This would make it 4.5y/4 =y + 3/8

- Multiply 4 to both sides

4.5y = 4y + 12/8

- Subtract 4y to both sides

0.5y = 12/8

- Divide both sides by 0.5

y = 3

Now plug in to check.

0.5(3)/(4/9)=3+3/8

Both equals 3.375!

If this helped, please feel free to pick this answer as the brainliest! Thank you very much and have a wonderful day!

8 0

3 years ago

A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for

Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

$\implies h=\frac{1}{w^2}$

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

$= 2\times \frac{1}{w^2}(w+2w)$

$=\frac{6w}{w^2}$

$=\frac{6}{w}$

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

$C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}$

$=2w^2+4w^2+\frac{12}{w}$

$=6w^2+\frac{12}{w}$

Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

$\implies 12w -\frac{12}{w^2}=0$

$\implies 12w^3 - 12=0$

$w^3-1=0\implies w = 1$

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

7 0

3 years ago

Edwin deposited money into a savings account that pays a simple annual interest rate of 1.4%. He

mafiozo [28]

<h3>The deposited sum of money by Edwin is $350.</h3>

Step-by-step explanation:

Let us assume that the amount deposited = P

The rate of interest = 1.4%

The Simple Interest earned = $24.50

Time = T = 5 years

Now, as we know:

SIMPLE INTEREST = $\frac{P \times R \times T}{100}$

$\implies 24.50 = \frac{P \times 1.4 \times 5}{100} \\\implies P = \frac{24.50 \times 100}{1.4 \times 5} = 350\\\implies P = 350$

Hence, the deposited sum of money by Edwin is $350.

5 0

4 years ago

36 miles per hour what is this rate in feet per second

Georgia [21]

I believe it would be 52.8 fps.

8 0

3 years ago

several students in Ashton 's class were randomly selected and asked how many text messages they sent yesterday. Their answers w

rosijanka [135]

Mean is 6 because once you add up all the numbers it will be 60, and dividing that number by how many you have will give you 6

Median is 5 because once you place the numbers in order, 0, 0, 1, 2, 3, 7, 9, 10, 13, 15 the middle number in the set is between 3 and 7 and once you find the mean of the two you get 5

3 0

3 years ago

Read 2 more answers