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3 years ago

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PLZ HELP NOW! Mandy earns money based on how many hours she works. The following table shows Mandy's earnings. Hours 1 2 3 Earni

ngs 10$ 20$ 30$ Plot the ordered pairs from the table.

1 answer:

vampirchik [111]3 years ago

8 0

Answer:

In khan academy, just plot the points and the answer is yes.

Step-by-step explanation:

Use the table to plot the points and you'll figure out that it's proportional- so the answer to the question below is yes. Doesn't need too much explaining.

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Find the intercepts of the line.y=−5x−17

GaryK [48]

Answer:

Step-by-step explanation:

y = -5x - 17

in y = mx + b form, the y int is in the m position

y = mx + b

y = -5x - 17......so the y int (b) = -17 or (0,-17) <=== y intercept

u can also find the y intercept by subbing in 0 for x and solving for y

u can find the x intercept by subbing in 0 for y and solving for x

y = -5x - 17

0 = -5x - 17

5x = -17

x = -17/5......so the x intercept is -17/5 or (0,-17/5) <==== x intercept

5 0

3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

HELP PLEASE THIS IS DUE IN 30 MIN PLEASE HELP URGENT

Oxana [17]

Answer:

12.5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0

3 years ago

What is the linear function equation represented by the graph?<br><br><br> f (x) = ?

Alex Ar [27]

The equation is :
y = -.5/1 + 1

5 0

3 years ago

Read 2 more answers