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lutik1710 [3]
3 years ago
7

Sheila bought burgers and fries for her children and some friends. the burgers cost $2.05 each and the fries are $.85 each. she

bought a total of 14 items, fir a total cost if $19.10. how many of each did she buy?
Mathematics
1 answer:
jeyben [28]3 years ago
4 0
Let's have B stand for burgers, and F stand for fries.
2.05B+0.85F=$19.10  - This equation is set equal to total price.
B+F=14  - This equation is set equal to total number of items.
Subtract the F in the bottom equation.
B=14-F
Put this in place of B in the first equation.
2.05(14-F)+0.85F=19.10
Make sure you distribute the 2.05 properly, over both the 14 and the F.
28.7 - 2.05F+0.85F=19.10
Collect like terms for the F values.
28.7 - 1.2F=19.10
Subtract 28.7 from both sides.
-1.2F=-9.6
Divide by -1.2 on both sides.
F=8
Put this value in place of F in either equation.
B+8=14
B=6
So F=8 and B=6.
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Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

v = \frac{ds}{dt} = 6 sin(2t) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

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4 0
3 years ago
Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u
yuradex [85]

Answer:

  12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

  f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

  area ≈ 12.123 . . . square units

__

<em>Additional comment</em>

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.

7 0
1 year ago
What is the constant of proportionality, and what method did you use to determine this?
atroni [7]

Answer:

it should be A

Step-by-step explanation:

hope this helps :)

8 0
2 years ago
(1 point) In an experiment, a ball is drawn from an urn containing 8 orange balls and 12 yellow balls. If the ball is orange, th
klemol [59]

Answer:

a) 8

b) 12

Step-by-step explanation:

With orange: 2×2×2 = 8

With yellow: 2×2 = 4

Total = 8+4 = 12

3 0
3 years ago
Which could be the area of a face of the rectangular prism? A rectangular prism with a length of 3 meters, width of 4 meters, an
blagie [28]

Answer:

6m²

Step-by-step explanation:

Because the question asks for the area of a face but it doesn't indicate which face then it can be any of the faces.

2m x 3m = 6m²

2m x 4m = 8m²

3m x 4m = 12m²

In your case one of the possible answers is 6m² - so that is the one they are looking for.

5 0
3 years ago
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