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dimaraw [331]
3 years ago
10

1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. Hi

s brother Simon has $75 saved but he does more chores so he gets $15 a week.
Write the equations representing Miles and Simon’s savings:
Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

If w represented the number of weeks he does his chores, the equations would be:

Miles: 120+10w

Simon:75+15w

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Please help cause I don’t know how to do this
zalisa [80]

Answer:

  4 GB

Step-by-step explanation:

Let "g" represent the number of gigabytes of data used. Then the phone bill is computed as ...

  bill = 65 + 12g

Aurora's bill is 113, so we can put that value into the equation and solve for g.

  113 = 65 + 12g

  48 = 12g . . . . . . subtract 65 from both sides of the equation

  4 = g . . . . . . . . . divide both sides of the equation by 12

Aurora used 4 gigabytes of data in September.

_____

You can also use your mathematical reasoning to solve this problem. The total bill consists of two charges: a fixed charge of 65 and a charge that depends on data. If you subtract the fixed charge from the bill, you find that the charge that depends on data is 113-65 = 48.

The data charge is 12 times the number of gigabytes. The data charge on the bill is 48, which is 12 times 4. Then the number of gigabytes is 4.

7 0
3 years ago
The barbers profit p each week depends on his charge c per haircut. It is modeled by the equation p= -200c^2+2400c-4700. What pr
shepuryov [24]

Answer:

0 ≤ c ≤ 12

Step-by-step explanation:

The function can be rearranged to ...

p = 200c(12 -c) -4700

suggesting that revenue will be zero for a charge of 0 or for a charge of 12, and that fixed expenses are 4700. Charges less than 0 are uninteresting, and charges high enough to cause the number of customers to be negative also don't make any sense in this context.

Though out of the range of likely consideration, charges low or high enough to cause profit to be negative (more than 9.54, for example) seemingly can be reasonably modeled by this function.

5 0
3 years ago
Help please!!!!!!!!!!!!!!!!!!!
ivolga24 [154]
I think the answer is
1) 3/2
5 0
3 years ago
A chemical refinery needs a vat. They want the vat to be a rectangular prism (with square bases) that has a maximum volume of 1,
Alex17521 [72]

Answer:

For least material to be used lengths of square base and sides = 10 units.

Step-by-step explanation:

Let the lengths of the square base and the sides = x feet, x feet and y feet

Area of the square base = x² feet

Volume of the rectangular prism = Area of the square base × Height

                                                      = x²y cubic feet

1000 = x²y

y = \frac{1000}{x^2} -------(1)

Material used in the prism = Surface area of the rectangular prism

                                            = 2(lb + bh + hl)

Here, h =  height of the prism

l = length of the base

w = Width of the base

Material to be used (S) = 2(xy + x² + xy) - Area of lid

                                  S = 2(x² + 2xy) - x²

                                  S = x² + 2xy

Now by substituting the value of y from equation (1),

S = x² + 2x(\frac{1000}{x^{2} })

  = x² + \frac{2000}{x}

For least amount of material used,

We will find the derivative of the given function and equate it to zero.

S' = 2x - \frac{2000}{x^{2} }

2x - \frac{2000}{x^{2} } = 0

2x³ = 2000

x³ = 1000

x = 10 feet

From equation (1),

y = \frac{1000}{(10)^2}

y = 10 feet

Therefore, for least amount of the material used lengths of square base and sides will be 10 feet.

7 0
3 years ago
How do you solve this system of linear equation by substitution <br><br>x-3y=-12<br>y=2x+9
Ainat [17]
Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get:  x-3(2x+9)=-12
Now, distribute:  x-6x-27=-12
Add like terms:  -5x-27=-12
Add 27 to both sides:  -5x=15
Divide both sides by -5:  x=-3

Now, substitute this value of x into the equation to find y:  y=2(-3)+9
Multiply:  y=-6+9
Add:  y=3

Here is the solution:  (x,y)=(-3,3)

Hope this explanation helped!




6 0
3 years ago
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