Answer:
4 1/6 inches
Step-by-step explanation:
A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.
Perimeter of Triangle = Side a + Side b + Side c
Perimeter of the Triangle =
( 1 1/6 + 1 1/3 + 1 2/3) inches
Lowest common denominator = 6
= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)
= 3 + (1 + 2 + 4/6)
= 3 + 7/6
= 3 + 1 1/6
= 4 1/6 inches
Answer:
Option C.The decrease in the value of the motorcycle, which is 9%
Step-by-step explanation:
we have a exponential function of the form

where
a is the initial value
b represents growth or decay factor
If b >1 then it is an exponential growth
if 0<b<1 then it is an exponential decay
In this problem
a=$19,000
b=0.91 -----> it is exponential decay factor
Find the rate of decrease r
b=(1-r)
substitute
0.91=1-r
r=1-0.91=0.09
Convert to percentage
0.09*100=9%
therefore
0.91 represent the decrease in the value of the motorcycle, which is 9%
The equivalent expression for (x + 4)^5 is 
The expression is given as:

To expand the expression, we make use of Pascal triangle, where:
5:= 1 5 10 10 5 1
So, we have:

Evaluate the exponents

Evaluate the products

Hence, the equivalent expression for (x + 4)^5 is 
Read more about binomial expressions at:
brainly.com/question/13602562
Answer:
which do you prefer going, English or math class.
Step-by-step explanation:
Since no value is given to Eva, we'll call her x. Justin, then, is 7.50+x. That leaves Emma, who would be Justin (7.50+x) -12. If we add them all together we get 63. So our equation is
x + (7.50+x) + (7.50+x)-12 = 63
Combine like terms
x+x+x + 7.50+7.50-12 = 63
3x + 3 = 63
3x = 60
x = 20
Since we said Eva is x then Eva has 20 dollars.
Justin is 7.50 + x so 7.50+20=
$27.50
Emma is Justin - 12 so 27.50-12= $15.50
Let's check our answer...
15.50+27.50+20 = 63
63=63
It checks!