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agasfer [191]
3 years ago
14

Stephen walks dogs to make money over the summer. At the beginning of the summer, he has $41. The table shows the total amount o

f money Stephen has after walking the given number of dogs.
Number of dogs walked Total amount of money ($)
0 41
5 66
10 91
15 116

What is the equation in slope-intercept form that represents the total amount of money Stephen has?


y= ____x + ___
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
Y=mx+b
ok, so notice that b is constant, doesn't change, when x=0, then y=b
that is the starting value

it is stated that he has 41 at the begining so

y=mx+41

alright
so we are also given
when x=5, y=66
so find m
66=5m+41
miinus 41 from both sides
25=5m
divide both sides by 5
5=m


the equation is
y=5x+41
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3 years ago
An ice cream shop sells cones at the volume of 94.2 cubic meters they want to double the volume of the cones without changing th
marin [14]
The volume of a cone is V=\pi r^2\frac{h}3 where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}
5 0
3 years ago
5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (
chubhunter [2.5K]

Answer:

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  • b) DA = 2, GA = 10

Step-by-step explanation:

<u>Given</u>

  • DA = A + B ⇒ $3000
  • GA = A + 2B ⇒ $5000
  • Number of A = 12
  • Number of B = 22

<u>We can see from the equations that</u>

  • GA - DA = B ⇒ $2000 and
  • A = $1000 and B = $2000 in terms of profit

<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>

  • A + B = 12
  • A + 2B = 22

Is the equation set to indicate use of the units A and B

<u>Solving we get </u>

  • A = 2 and
  • B = 10

<u>It this case all the units are used and profit is maximum</u>

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8 0
3 years ago
Simplify the expression. <br> -216) + 3(5 – 4 x 2)
masya89 [10]

Answer:

Step-by-step explanation:

If it's (-216):

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If it's -2(16):

-2(16) + 3(5 - 4 x 2)

-2(16) + 3(-3)

-32 - 9

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4 0
3 years ago
How do you graph y=-1.5<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align
lorasvet [3.4K]
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x=1 \Rightarrow y=-1.5*(1)^2+6 =-1.5+6=-4.5\\ \\ x= 2 \Rightarrow y=-1.5*2^2+6 =-1.5*4+6=-6+6=0\\ \\x=3 \Rightarrow y=-1.5*3^2+6 =-1.5*9+6=-13.5+6=-7.5


6 0
3 years ago
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