Answer:
102
Step-by-step explanation:
Since we know that the numbers are two consecutive even numbers, we can write an equation like this where n represents the 2 numbers.
n + (n+2) = 206
Simplify the left side:
n + (n+2) = 206 -----> 2n+2 = 206
Subtract 2 from both sides:
2n = 206-2 -----> 2n = 204
Now divide 204 by 2:
n = 204/2 -----> n = 102
Answer:
V =113.04
Step-by-step explanation:
A sphere has a surface area of 113.04
SA = 4 pi r^2
113.04 = 4 pi r^2
Let pi 3.14
113.04 = 4 *(3.14) r^2
113.04 = 12.56 r^2
Divide each side by 12.56
113.04/12.56 = r^2
9 = r^2
Take the square root of each side
3 =r
We want to find the volume
V = 4/3 pi r^3
V = 4/3 (3.14) 3^3
V =113.04
Answer:
(a + 3)
Step-by-step explanation:
a³ - 9a = a(a² - 9) = a(a + 3)(a - 3)
a² + a - 6 = (a - 2)(a + 3)
a⁴ + 27a = a(a³ + 27) = a(a - 3)(a² + 6a + 9) = a(a - 3)(a + 3)(a + 3)
HCF = (a + 3)
Hope it helps.
;)
<3
Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
X= cost per cherry pie
y= cost per pumpkin pie
NICOLE
1x + 9y= $60
LISA
11x + 4y= $90
STEP 1
multiply Nicole's equation by -11
-11(1x + 9y)= -11($60)
multiply -11 by all terms
(-11 * x) + (-11 * 9y)= (-11 * 60)
-11x - 99y= -660
STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)
-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"
-95y= -570
divide both sides by -95
y= $6 per pumpkin pie
STEP 3
substitute y value into either original equation to solve for x
x + 9y= $60
x + 9(6)= 60
x + 54= 60
subtract 54 from both sides
x= $6 per cherry pie
CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90
ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.
Hope this helps! :)
