Ask question

Ask question

All categories

3 years ago

5

The cost of peanut varies directly with the number of pounds but. If 3 pounds of peanuts cost $6.30, what is the cost of 4.5 pou

nds

2 answers:

Arte-miy333 [17]3 years ago

8 0

3/6.3=4.5/x
3/6.3(6.3)=4.5/x(6.3)
3=28.35/x
3(x)=28.35/x (x)
3x=28.35
3x/3=28.35/3
x=9.45
The cost of 4.5 pounds will be $9.45

FrozenT [24]3 years ago

4 0

4.5 pounds of peanuts costs $9.45

You might be interested in

What is this answer to the nearest tenth

tankabanditka [31]

41.8 because u just move one over

5 0

4 years ago

Read 2 more answers

Find the equation of the line that cuts through (0,5) and (1,2)?

MArishka [77]

The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5

<h3><u>Solution:</u></h3>

Given that we have to find equation of the line that cuts through (0,5) and (1,2)

The equation of line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$y - y_1 = m(x - x_1)$

Where "m" is the slope of line

Let us first find slope of line

<em><u>The slope of line is given as:</u></em>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text{ Substituting } (x_1, y_1) = (0, 5) \text{ and } (x_2, y_2) = (1, 2)$

$m=\frac{2-5}{1-0}=-3$

<em><u>Thus the required equation of line is:</u></em>

$y - 5 = -3(x - 0)\\\\y - 5 = -3x\\\\y = -3x + 5$

Thus the equation of line is found

3 0

4 years ago

Find the inverse laplace<br><br> F(s)=11s/ s^2-12s+52

lions [1.4K]

Answer:

$11e^{6t}\cos 4t+\frac{33}{2}e^{6t}\sin 4t$

Step-by-step explanation:

We can write $\frac{11s}{s^2-12s+52}$ as follows:

$\frac{11s}{s^2-12s+52}\\=11\left [ \frac{s}{s^2-12s+52} \right ]\\=11\left [ \frac{s}{(s-6)^2+16} \right ]\\=11\left [ \frac{s-6+6}{(s-6)^2+16} \right ]\\=11\left [ \frac{s-6}{(s-6)^2+16} \right ]+\frac{66}{(s-6)^2+16}$

To find:

$L^{-1}\left [ \frac{11s}{s^2-12s+52 \right ]}\\=L^{-1}\left [ 11\left [ \frac{s-6}{(s-6)^2+16} \right ]+\frac{66}{(s-6)^2+16} \right ]$

We will use formulae:

$L^{-1}\left \{ \frac{s-a}{(s-a)^2+b^2} \right \}=e^{at}\cos bt\\L^{-1}\left \{ \frac{b}{(s-a)^2+b^2} \right \}=e^{at}\sin bt$

we get solution as :

$L^{-1}\left [ 11\left [ \frac{s-6}{(s-6)^2+16} \right ]+\frac{66}{(s-6)^2+16} \right ]\\=L^{-1}\left [ 11\left [ \frac{s-6}{(s-6)^2+4^2} \right ]+\frac{66}{4}\left [ \frac{4}{(s-6)^2+4^2} \right ] \right ]\\=11e^{6t}\cos 4t+\frac{33}{2}e^{6t}\sin 4t$

5 0

3 years ago

The art club, music club, and drama club at Glendale High School raised money last summer by washing cars.• The art club raised

docker41 [41]

Answer:

The number of car washed per club is:

The art club = 533 cars

The music club = 633 cars

The drama club = 414 cars

Step-by-step explanation:

The art club, music club, and drama club at Glendale High School raised money last summer by washing cars.•

For the art club

The art club raised about $3,200 and charged $6 per car.•

$6 = 1 car

$3200 = x

6x = 3200

x = 3200/6

x = 533.33333333 cars

Approximately = 533 cars

The music club earned approximately $3,800, charging $8 for each car

$8 = 1 car

$3800 = x

8x = 3800

x = 3800/8

x = 633.33333333 cars

Approximately = 633 cars

The drama club took in nearly $2,900, at a cost per car of $7.

$7= 1 car

$2900 = x

7x = 2900

x = 2900/7

x = 414.28571429 cars

Approximately = 414 cars

The number of car washed per club is:

The art club = 533 cars

The music club = 633 cars

The drama club = 414 cars

7 0

3 years ago

What is the answer for 7•9-4(6+7)?

Anna35 [415]

THE ANSWER IS 11 100% RIGHT

3 0

3 years ago

Read 2 more answers