Answer:
a⁴ + 20a³ + 150a² + 500a + 625
Step-by-step explanation:
(a + 5)⁴
₄C₀ a⁴ 5⁰ + ₄C₁ a³ 5¹ + ₄C₂ a² 5² + ₄C₃ a¹ 5³ + ₄C₄ a⁰ 5⁴
a⁴ + 4 a³ 5 + 6 a² 25 + 4 a 125 + 625
a⁴ + 20a³ + 150a² + 500a + 625
Answer:
C. 490.
Step-by-step explanation:
25% = 0.25.
If the number of emails that Ryan and Taylor each received is x emails then Sara received 2x + 0.25 * 2x = 2.5 emails.
So 2x + 2.5x = 882
x = 882/4.5
x = 196.
So Sara received 2.5 * 196
= 490 emails.
Answer:
1436.5 ft^3
Step-by-step explanation:
Shed B
L = 2* 6.5 = 13
W = 2*6.5 = 13
H = 8.5
Formula
Volume = L*w*h
Solution
Volume = 13 * 13 * 8.5
Volume = 1436.5
Answer:
Step-by-step explanation:
N is between points M and O
MN = x
MO = 3x - 6
NO = x + 1
The way it reads MN + NO = MO
x + x + 1 = 3x - 6
2x + 1 = 3x - 6
2x - 2x +1 = 3x -2x - 6
1 = x - 6
1 + 6 = x
x = 7
MO = 3x - 6
MO = 3*7 - 6
MO = 21 - 6
MO = 15
Answer:
<em>(16.2t+3.4u+2.9)cm</em>
Step-by-step explanation:
A triangle is a plane shape that has three sides. <em>The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides</em>. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
<em>Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm</em>