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san4es73 [151]
3 years ago
14

the expression 4(1.5g+ 3.5) is equal to 6g plus a constant term what is the value of the constant term

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
4*3.5 =14.0
......................
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Find the area of the shaded region. Round your answer to the nearest hundredth.
PilotLPTM [1.2K]

Answer:

4.56

Step-by-step explanation:

i see a sector hosting 2 semi circles.

this sector area will be .25 of area of circle with radius 4ft.

area of sector = .25*π*16= 4π ft^2

area of semi circle of radius 2ft = .5π*4= 2πft^2

area of 2 semicircles = 4π

the total area of sector = area of 2 semicircles - intersection area + area not covered by semi circles

4π = 4π - intersection area+area not covered by semi circles

intersection area = area not covered by semi circles

now draw a square starting from the intersection point of 2 semi circles at their upper portion. the side will be 2ft

the area of intersection will be covered in the square.

area of intersection = 2*quarter area of circle of radius 2ft - area of square

= 2*(.25π4) - 4

2π-4 = 2.28

area of intersection = area not covered by semicircle

so area of shaded region = 4.56

4 0
2 years ago
mckenna and lara work for their uncle eddie, who repairs skateboards and bicycles. uncle eddie is leaving for a vacation to the
juin [17]

The <em><u>correct answer</u></em> is:

15 bicycles and 6 skateboards.

Explanation:

Let x represent the number of bicycles and y represent the number of skateboards.  The first equation in our system is then

x+y = 21, since there are 21 total items in the shop.

Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

2x+4y=54 (because they are ordering 54 tires).

This makes our system

\left \{ {{x+y=21} \atop {2x+4y=54}} \right.

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations.  We will make x the same, and we will do this by multiplying the first equation by 2:

\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right.  \\&#10;\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.

Now we will subtract the second equation from the first one:

\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right.  \\&#10;\\-2y=-12

Divide both sides by -2:

-2y/-2 = -12/-2

y = 6

There were 6 skateboards.  Substituting this into the first equation,

x+6 = 21

Subtract 6 from each side:

x+6-6 = 21-6

x = 15

There were 15 bicycles.

3 0
3 years ago
5. Given the linear table below, what is the rate of change? *
Illusion [34]
The answer is: -2 because as x increases by 1 y decreases by -2
6 0
3 years ago
The graph shows two lines, A and B.
scoundrel [369]

Answer:

second option: (4, 4) is the solution to both lines A and B.

Step-by-step explanation:

You know that the equation of line A is:

y=-3x+15

and the equation of line B is:

y=\frac{1}{2}x+2

The point in which the line A intersects with the line B is the solution of the sytstem of equations.

You can observe in given graph that the point of intersection of Line A and Line B is: (4,4)

Therefore (4, 4) is the solution to both lines A and B.

8 0
3 years ago
Read 2 more answers
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ HELP ASAP PLZZZZZZZZZZZZ NO LINKS PLEASE!!!
alex41 [277]

Answer:

(.085 x 65) + 65 = $70.525 or $70.53 (if we rounding)

(5.525) + 65 =

3 0
3 years ago
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