The first 5 terms of the arithmetic sequence with first term -10 and common difference -12 are ...
-10, -22, -34, -46, -58
Answer:
volume = 1,407.4 cubic feet
Step-by-step explanation:
Radius = 8 ft
Height = 7 ft
volume = area x height
area = π r^2
= 3.14 x 8^2
= 200.96
volume = 200.96 x 7
= 1,407.4 cubic feet
The formula for Slope is m =

where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.
m =

Plug in the given values

=

Cross multiply
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[<span>tex] \frac{1}{4} [/tex] =

Simplify the double negative
</span><span>

=

Simplify the numerator and denominator
</span><span>

=

</span>
Since both sides equal each other,
y = -2.
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
These are steps to help youu do distributive property with variables.