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leva [86]
3 years ago
7

an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not

a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?
Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

2

Step-by-step explanation:

If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!

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Eric worked 13 hours last week at the library and earned $91.00. If he continues at the same hourly pay, how many more hours mus
skelet666 [1.2K]

19 hours

Calculate his hourly rate by dividing $91 by 13

hourly rate = \frac{91}{13} = $7

Now divide $133 by 7 to find number of hours he has to work

\frac{133}{7} = 19 hours


6 0
3 years ago
3/4(12x−9) +b4 = 5−3(2−3x)
Pavel [41]

Solve for x:

Take the root of both sides and solve.

All real numbers Interval Notation

(-infinity, infinity)

(Don’t actually write infinity, write the infinity symbol)

8 0
3 years ago
What is the value of x in the figure shown please help!
SIZIF [17.4K]

Answer:

24 degrees, so D

Step-by-step explanation:

The total angle of a triangle is 180 degrees.

(quadrilateral is 360 degrees)

So, the question tells you two angles which are,

66 and 90 degrees

To find out the third angle, you have to add the two degrees, so

156, which means,

156 + x = 180

To solve the equation, it is,

24.

Hope it helps!!!

Let me know if I got it wrong or you need help on a different problem!!

5 0
3 years ago
If the angle between each blade of the wind turbine is the same, and each blade has a length of 20 meters, find the distance bet
Ket [755]

A typical windmill has three blades. We can envision these blades in a circle, which a circle = 360 degrees. We want to divide up the angles of the blades so they are even or makes up 360 degrees. We have three blades so we have 3 angles to divide by 360 degrees. So, 360 / 3 = 120 degrees. Now that we know the angle of the blades, we can use the Law of Cos to solve the distance between the blade tip.


Law of Cos

c^2 = a^2 + b^2 - 2(a)(b)(\cos A)


We know

a = 20

b = 20

A = Angle = 120


We need to solve for c

c^2 = a^2 + b^2 - 2(a)(b)(\cos A)


Take the square root of each side of the =

\sqrt{c^2} = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}

c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}

Input the values we know into the formula and solve for c:

c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}

c = \sqrt{20^2 + 20^2 - 2(20)(20)(\cos 120)}

c = \sqrt{400 + 400 - 2(20)(20)(\cos 120)}

c = \sqrt{800 - 2(20)(20)(\cos 120)}

c = \sqrt{800 - 2(400)(\cos 120)}

c = \sqrt{800 - 800(\cos 120)}

c = \sqrt{800 - (-400)}

c = \sqrt{1200}

c = 20\sqrt{3}

c = 34.641016

c = 34.64


We now have our answer, which is 34.64 and that is C.






3 0
4 years ago
Multiply <br> (4x-2)(×^2-5×+3)
Fed [463]

Answer: 4x3 - 24x2 + 22x -6

Step-by-step explanation:

(4x - 2)(x2 - 5x + 3)

(4x3 - 20x2 + 12x)

+        (-4x2 + 10x - 6)

4x3 - 24x2 + 22x -6

6 0
3 years ago
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