Answer:
James's monthly income is $1250.
Step-by-step explanation:
If the budget accounts for James's entire monthly income, the sum of the cost of all the items on the budget is his total monthly income.
Income = 300 + 175 + 125 + 200 + 250 + 50 + 25 + 125 = $1250
To make a reflection over the y axis, make the whole equation negative.
The new equation should look like this:
f(x) = -x^3
Answer:

Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC

The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so

substitute

we have



remember that




The measures of triangle CGH are 
Triangle GHE


remember that

substitute and solve for m<GEH



The measures of triangle GHE are 
Answer:
Step-by-step explanation:
-2(4-3x)+(5x-2)
-8+6x+5x-2
11x-10
Answer:
The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.
Step-by-step explanation:
Let
x -----> the length of the Boston Marathon in meters
y -----> the length of the Idita rod Trail Invitational ultra-marathon in meters
we have


we know that
To find out how many times as long is the course of the Idita rod Trail ultra-marathon as that of the Boston Marathon, divide the length of the Idita rod Trail Invitational ultra-marathon by the length of the Boston Marathon
so


Remember that
To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

therefore
The ultra-marathon Idita Rod Trail is about 38 times longer than the Boston Marathon.