The rule is n-4;
163 - 4 = 159
159 - 4 = 155
155 - 4 = 151
151 - 4 = 147
A quick way to solve this is to mutliply 4 by 23 and subtract the product from the 1st term.
23 x 4 = 92
163 - 92 = 71
The 23rd term is 71.
I hope this helps!
Answer:
-17
Step-by-step explanation:
8x -2y= 12
<em>Divide</em><em> </em><em>the</em><em> </em><em>whole</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>
4x -y= 6
<em>Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).</em>
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
<em>To find the y-intercept of the lone, substitute a pair of coordinates.</em>
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.
Answer:
10 gallons
Step-by-step explanation:
Amy's car's maximum capacity to hold gas = 19 gallons
present amount of gas = 9 gallons
As the car's capacity is 19 gallons and present amount in tank is 9 gallons, so we can fill it as much as so that the amount in tank becomes 19 gallons.
let assume she fills x gallons
then x gallons and 9 gallons present earlier should be equal to 19 gallon, as the tank can not hold more than that.
lets write it mathematically
x + 9 = 19
subtracting 9 from both side
x + 9 - 9 = 19 - 9
=> x = 10
Thus, 10 gallons of gas is needed to fill the gas tank.
We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply
1/12 divided by 1/6 = 1/12 * 6/1
-------
From here we multiply straight across.
The numerators multiply to get 1*6 = 6
The denominators multiply to 12*1 = 12
We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6
<h3>Final Answer: 1/2</h3>
Hey there!
Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:
Cross multiply:
Distribute the '6':
Combine like terms and simplify:
Therefore, the length of CD is 3.
