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balandron [24]
4 years ago
9

The cost per year to lease a coffee shop in downtown Austin varies directly with the size of the shop. If a 1,425 square foot sh

op costs $45,600 to lease for the year, how expensive is it to lease a shop that is 1,820 square feet
Mathematics
1 answer:
marysya [2.9K]4 years ago
5 0

Answer:

$58240

Step-by-step explanation:

45,600/1425 = 32

Therefore it costs $32 per square foot

32 x 1,820 = 58240

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Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors,
Natasha_Volkova [10]

Step-by-step explanation:

So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are

3 * 2 * 2 possible combinations

For example:

S = 3 sizes

F = 2 flavours

T = 2 toppings

Then there are 3 * 2 * 2 = 12 possible combinations

6 0
3 years ago
1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
My name is Ann [436]

9514 1404 393

Answer:

  a) V = 4w²h

  b) SA = 4w² +10wh

  c) SA = 4w² +37.5/w

  d) C = 40w² +225/w

Step-by-step explanation:

The relevant formulas are ...

  V = LWH

  base area = LW

  lateral area = H(2(L+W))

__

a) The length is 4 times the width, so the volume is ...

  V = (4w)(w)(h)

  V = 4w²h

__

b) The total surface area is the sum of the base area and the lateral area:

  SA = base area + lateral area

  SA = (4w)(w) + 2h(4w +w)

  SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

  15 = 4w²h

  h = 15/(4w²)

Then the surface area is ...

  SA = 4w² +10w(15/(4w²))

  SA = 4w² +37.5/w

__

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

  C = 10(4w²) +6(37.5/w)

  C = 40w² +225/w

4 0
3 years ago
The equation of a line is 8x+2y=10. Calculate the slope of the line.
emmainna [20.7K]

Answer:

that is the solution to the question

6 0
4 years ago
What is the solution to the equation?
UkoKoshka [18]
\frac{1}{3}x+\frac{1}{3}(2x-15)=3\frac{1}{2}\\\\
\frac{1}{3}x+\frac{1}{3}(2x-15)=\frac{7}{2}\ \ \ |Multiply\ by\ 6\\\\
2x+2(2x-15)=21\\\\
2x+4x-30=21\\\\
6x-30=21\ \ |Add\ 30\\\\
6x=51\ \ \ |Divide\ by\ 6\\\\
\boxed{x=\frac{51}{6}=8\frac{1}{2}}
7 0
3 years ago
(08.05)
Crank
If you use the first answer, the equation becomes 2x + 2y = 16.  You could subtract this from equation Q to eliminate x.

The second answer makes equation P -2x - 2y = -16.  You could add this to equation Q to eliminate x.  You can use both of these methods to eliminate the x term, but if you can only choose one, you should choose the second option.
7 0
3 years ago
Read 2 more answers
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