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g100num [7]
3 years ago
5

A person's email for one day contained a total of 78 messages. The number of spam

Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

62 of the email messages were spam

Step-by-step explanation:

Let the number of spam and other messages be s and o respectively.

Total number of messages= 78

s +o= 78 -----(1)

s= 4o -2 -----(2)

Substitute (2) into (1):

4o -2 +o= 78

<em>Simplify:</em>

5o -2= 78

<em>+</em><em>2</em><em> </em><em>on </em><em>both </em><em>sides:</em>

5o= 78 +2

5o= 80

<em>Divide </em><em>both </em><em>sides </em><em>by </em><em>5</em><em>:</em>

o= 80 ÷5

o= 16

Since s +o= 78, s= 78 -o.

s= 78 -16

s= 62

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The height in feet of a baseball can be modeled by the function y=-16t^2+64t where t is the time in
VikaD [51]

Answer:

the ball reaches a height of 64 feet after 2 sec.

The ball is in the air 4 sec.

Step-by-step explanation:

The ball is following the path of a parabola.  The maximum height is at the vertex of the parabola.

Let (h, k) be the vertex.  h will be the time it takes to reach the maximum height, and k will be that height.

y = -16t^{2} + 64t

h = -b/2a = 64/(-2)(-16) = 64/32 = 2

k = -16(2)^2 + 64(2)

     -16(4) + 128

     - 64 + 128 = 64

V:  (2, 64)

So the ball reaches a height of 64 feet after 2 sec.

Let -16t^{2} + 64t = 0       (0 is the height when the balls hits the ground)

-16t(t - 4) = 0

t = 0  or t = 4

The ball is in the air 4 sec.

3 0
3 years ago
Morgan has $60 to spend on clothes. he wants to buy a pair of jeans for $25 and spend the rest on t shirts each t shirt costs $5
Mashutka [201]

Answer:

C

Step-by-step explanation:

Morgan has $60. That is his spending limit.

He buys a pair of jeans for $25.

Each T-shirt is $5

We don't know how many t-shirts he can buy, so we can represent it with a variable, x

so,

25 + 5x \leq 60\\5x \leq 60 - 25\\5x \leq 35\\x \leq \frac{35}{5} \\x\leq 7

6 0
3 years ago
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the
MArishka [77]

Answer:

b=0

Step-by-step explanation:

y=mx+b

(0,0) means x=0 and y=o

m=2

Make b the subject of formula

b=y-mx

b=0-2(0)

b=0-0

b=0

Therefore,0=2(0)+0

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Therefore the equation of the slope is 0

4 0
3 years ago
PLEASE HELP ASAP!!!!
spin [16.1K]

It is easy! I got you! So if Gavin earned $25 more then Seiji and the total of money they got over the summer is $425, all you have to do is subtract, so 425- 25= 400. Seiji earned s and Gavin earned g.

3 0
4 years ago
PLEASE HELP!
Ilia_Sergeevich [38]
You have the function y= \dfrac{60x}{1+0.625x}. 
Rewrite it in the following way:

y= \dfrac{60x}{1+0.625x}=\dfrac{60x}{1+ \frac{5}{8} x}=\dfrac{480x}{8+5x}=\dfrac{96\cdot 5x}{8+5x}=
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This <span>function entry allows you to determine that y=96 is the horizontal asymptote and x=-8/5 is the vertical asymptote.
</span>
From the added graph of the function you can conclude that <span>the maximum number of moose that the forest can sustain at one time is 96.</span>
Answer: Correct choice is A.
<span />

8 0
3 years ago
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