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olga2289 [7]
3 years ago
8

Which would be the better value? A) 12 pens for $2.70 B) 16 pens for $3.40

Mathematics
1 answer:
gregori [183]3 years ago
8 0

Answer:

a

Step-by-step explanation:

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Simplify.
liraira [26]
2x + 7y + 3x - 4y

Collect all the like terms:

2x + 3x = 5x

7y - 4y = 3y

And you end up with 5x + 3y as your final answer :)

8 0
2 years ago
Read 2 more answers
In ΔLMN, the measure of ∠N=90°, the measure of ∠L=74°, and NL = 60 feet. Find the length of MN to the nearest tenth of a foot.
Oksanka [162]

Answer:

209.2

Step-by-step explanation:

7 0
3 years ago
When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a
djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

<span>As there’s no direct way to find x, we can use the <span>Bhaskara formula:</span></span>

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) <span> + 75 = </span>-78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.


Window x = [ -15, 0] y = [ -78.125, 75]
5 0
3 years ago
A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s.
Semenov [28]

Answer:

y = 240 cm crawl

x = 120 cm walking

Step-by-step explanation:

Logic....

8 0
3 years ago
Hana buys a new dress for $40. how much does she pay if there is a 7% tax
Rzqust [24]

Answer:

$42.80

Step-by-step explanation:

We can set up an equation to solve this as such

40*1.07=42.80

6 0
3 years ago
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