The hottest air temperature ever recorded in Death Valley (Furnace Creek) was 134°F (57°C) on July 10, 1913. During the heat wave that peaked with that record, five consecutive days reached 129° F (54°C) or above. Death Valley holds the record for the hottest place on earth.
Answer:
Simplifying
6x + -3 = 21 + -2x
Reorder the terms:
-3 + 6x = 21 + -2x
Solving
-3 + 6x = 21 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-3 + 6x + 2x = 21 + -2x + 2x
Combine like terms: 6x + 2x = 8x
-3 + 8x = 21 + -2x + 2x
Combine like terms: -2x + 2x = 0
-3 + 8x = 21 + 0
-3 + 8x = 21
Add '3' to each side of the equation.
-3 + 3 + 8x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 8x = 21 + 3
8x = 21 + 3
Combine like terms: 21 + 3 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
Step-by-step explanation:
Answer:
Point N will be located between 0 and -1.
Step-by-step explanation:
Points A and D are placed at (-4, 0) and (4, 0) on a number line.
We have to find the location of a point N which divides AD in the ratio of 3 : 4.
Coordinates of a point (x, y) which divides a segment with extreme ends at and in the ratio of m : n is given by,
x =
y =
By this formula, coordinates of the point N will be,
x =
x =
y = 0
Therefore, coordinates of the point N are .
Point N will be located between 0 and -1.
Answer:
Step-by-step explanation:
let f(x)=y
y=2x+5
flip x and y
x=2y+5
2y=x-5
y=(x-5)/2
f^{_1}(x)=(x-5)/2
but f^{-1}(x)=1
so (x-5)/2=1
x-5=2
x=2+5=7
25.50 = 7d + 2p
52.50 = 5d + 10p
These are the two equations we're going to use to determine the price of popcorn.
First we need to eliminate one set of variables. Let's eliminate the drinks.
127.50 = 35d + 10p
-367.50 = -35d + -70p
-240 = 0d - 60p
-240 = -60p
P = 4.00
So, popcorn is $4, right? Let's keep working on the problem so we can double check...
So, now let's add the $4 as the variable for P.
25.50 = 7d + 8
52.50 = 5d + 40
17.50 = 7d
12.5 = 5d
d = 2.5
d=2.5
This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00
Popcorn is $4.00, drinks are $2.50
<em>Hope I could help! :) </em>