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3 years ago

HELP ME PLEASE WILL GIVE LOTS OF POINTS PLEASE HELP

Mathematics

1 answer:

Margarita [4]3 years ago

7 0

Answer:

Step-by-step explanation:

5 * 6 = 30$ (the cost of backpacks)

3 * 5 = 15$ (the cost of pens)

15 + 30 = 45

$45

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Convert the following equations from point-slope form to slope-intercept form.

mojhsa [17]

<h2>Answer:</h2>

We need to solve both for y.

#9:

$y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1$

#10:

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3 years ago

Write about a real-life situation that could be described with the expression 1286 +953.

SCORPION-xisa [38]

I have 1286 dollars in the bank and make 953 from working

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3 years ago

A row team paddles 30 miles upstream in 2 hours and 30 miles downstream in 45 minutes. How fast can the row team paddle in still

sp2606 [1]

Answer:

Rate in still water = 27.5 mph

Current's rate = 12.5 mph

Step-by-step explanation:

Let

x mph = row team rate in still water

y mph = current's rate

Upstream:

Distance = 30 miles

Time = 2 hours

Rate = x - y mph

Then

$30=2(x-y)$

Downstream:

Distance = 30 miles

Time = 45 minutes $=\dfrac{3}{4}$ hour

Rate = x + y mph

Then

$30=\dfrac{3}{4}(x+y)$

From the first equation:

$30=2(x-y)\Rightarrow 15=x-y$

From the second equation:

$30=\dfrac{3}{4}(x+y)\Rightarrow 40=x+y$

Add these two equations:

$15+40=x-y+x+y\\ \\2x=55\\ \\x=27.5\ mph$

Subtract these two equations:

$40-15=x+y-(x-y)\\ \\25=x+y-x+y\\ \\2y=25\\ \\y=12.5\ mph$

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4 years ago

A store owner estimates that by charging x dollars each for a certain lamp, he can sell 25 - x lamps each week. What price will

erma4kov [3.2K]

Answer:

$\frac{25}{2}$ or 12.5

Step-by-step explanation:

So if 25 - x items are sold, and they each cost x, we can write an equation for the revenue to be

y = (25 - x)x

The vertex of this equation will represent the maximum revenue. So we need to write this equation in vertex form so we can find the vertex.

Vertex from is

y = a(x - h)^2+ k,

where (h,k) represent the vertex.

the vertex form of this equation would be

$y= -(x-\frac{25}{2} )^{2} +\frac{625}{4}$

And the vertex would be

$(\frac{25}{2} ,\frac{625}{4})$

This means the maximum revenue will occur when x = 25/2

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