The curtis car traveled an average of 21 miles per gallon of gas. At that rate, how far could the car travel on a full tank of 21 gallons

Answers

Answer 1

Answer: (21 miles/gallon) x (21 gallons) = 21 x 21 = 441 miles

Answer 2

Answer: Rate = 21 miles per gallon.
No. of gallons = 21

Distance = Rate x No. of Gallons

= 21 x 21

= 441

Thus, the curtis car can travel 441 miles at the rate of 21 miles per gallon

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A coin is tossed ten times. The probability of heads on each toss is 0.5. Evaluate the probability of getting exactly 6 heads.

Answers

The probability of getting exactly 6 heads is: 10!/6!(10-6)! * (1/2)^6 (1 - 1/2)^4 = 0.205 or 20.6 %

7/8 is equvlent to what over 24

Answers

We know that 8 x 3= 24
7/8=?/24
7 x 3=21
So the answer is 3
3/24

Find the distance between two parallel lines: x = 11 and x = 5.

Answers

$x = 11 ,\ \ \ A(11,0) \n \n x = 5 , \ \ \ B(5,0) \n \n distance \ between \ two \ parallel \ lines \ : \n \n d=\sqrt{(x_(2)-x_(1))^2 + (y_(2)-y_(1))^2}\n \nd=√((5-11)^2+(0-0)^2)=√((-6)^2)=√(36)=6$

$The\ distance:\n\nd=|11-5|=|6|=6$

Which expression correctly represents the product 12(8 5) after applying the distributive property?

Answers

Answer:

Distributive Propety

Step-by-step explanation:

We are given the following information in the question:

Distributive Property:

It helps us to perform complicated maths problem easily.

The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products separately.
$a* (b+c) = (a* b) + (a* c)$
Example:

$5* 8 =5* (2+6) = (5* 2) + (5* 6) = 10 + 30 = 40$

The given problem can be solved as:

$12* (8+5)\n=(12* 8) + (12* 5) \n= 96 + 60\n=156$

u don't use the distributive property here order of operations says do operations in parentheses FIRST 12(8 +5) = 12(13) = 156 12(8 +5) = 12(8) +12(5) = 96 +60 = 156

How do you do this.?

Answers

ok so
parabola standard form is
y=ax^2+bx+c

if you have the points
(-2,18)
(0,4)
(4,24)

sub points to find a,b and c

(-2,18)
sub -2 for x and sub 18 for y
18=a(-2)^2+b(-2)+c
18=4a-2b+c

(0,4)
sub 0 for x, nice a, an b cancel
4=a(0)^2+b(0)+c
4=0+0+c
4=c
we can sub that back later

(4,24)
24=a(4)^2+b(4)+c
24=16a+4b+c

we have

18=4a-2b+c
c=4
24=16a+4b+c
sub 4 for c

18=4a-2b+4
24=16a+4b+4
minus 4 from both sides

14=4a-2b
20=16a+4b
simlify all equations
7=2a-b
5=4a+b
add to solve for 6a
12=6a+0b
12=6a
divide both sides by 6
2=a

sub back
7=2a-b
7=2(2)-b
7=4-b
-3=b

equation is
y=2x^2-3x+4

86 is 45% of what number

Answers

To get the answer we can use proportion
86 --------------45%
x ---------------- 100%
Now cross multiply
x*45%=86*100
45x=8600 /:45 (divide both sides by 45)
x=191.11 - its the answer

The best thing to do is to find 1%, and you can do this by diving 86 by 45. 86/45= 1.9111, and you've then got to multiply this by 100, and this gives you 191.11Hope this helps :)

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