Answer:
There are 6 seating orders possible.
Step-by-step explanation:
1. Andrew, Marco, Kenjo
2. Marco, Kenjo, Andrew
3. Kenjo, Marco, Andrew
4. Kenjo, Andrew, Marco
5. Andrew, Kenjo, Marco
6. Marco, Andrew, Kenjo
Answer:
let jivesh score x runs so rajat scores 3x runs
total runs = 300-8 = 292 runs
so x+3x = 292
4x = 292
x = 292/4
x = 73
so jivesh score 72 runs and rajat scores 216 runs
Step-by-step explanation:
1)
a. y=mx+b
m=slope
b=y-intercept
y=20x+40
The slope is 20.
The y-intercept is 40.
b. y =cost
x= # of shirts
y=20x+40
15 sweatshirts would make the equation y=20(15)+40
y=300+40
y=340
15 shirts would cost $340.
c. y=20x+40
$1000 would make the equation 1000=20x+40
1960=20x
98=x
Paying $1000 would get the swim team 98 shirts.
2)
(1,5) (4,11)
(x,y) (x1, y1)
y+y1=m(x+x1)
Pick a point and substitute it into the equation.
y+5=m(x+1)
To find the slope of a line, use the following equatIon:
y-y1/x-x1
11-5/4-1
6/3=2
The slope of the line is 2. Plug it into the equation for m.
y+5=2(x+1)
Solve the equation.
y+5=2x+2
y+3=2x
Put the equation in slope-intercept form.
y=2x-3
3)
y=x-25
y=6x-5
Plug one equation into the other.
x+25=6x-5
Solve.
x+30=6x
30=5x
6=x
Now plug 6 into one of the equations.
y=6x-5
y=6(6)-5
y=36-5
y=31
The answer should be in the form of a point.
(6,31)
5) I'm sorry, don't know how to solve this. You can Google how to graph two inequalities, though.
6)
Antonio's age can be represented by x.
Sarah's age can be represented by y.
2x+y=35
5x=y
Plug 5x into the first equation.
2x+5x=35
Solve.
7x=35
x=5
Antonio is 5 years old.
To find Sarah's age, plug Antonio's age into the equation for Sarah's age.
5x=y
5(5)=y
25=y
Sarah is 25 years old.
What are the numbers? We can't help you if you don't list the numbers!!
Answer:
Option A is the right option.
Step-by-step explanation:
Let's find the area of large rectangle:
Multiply each term in the first parentheses by each term in the second parentheses
Calculate the product
Multiply the numbers
Collect like terms
Let's find the area of small rectangle
Multiply each term in the first parentheses by each term in the second parentheses
Calculate the product
Multiply the numbers
Collect like terms
Now, let's find the area of shaded region:
Area of large rectangle - Area of smaller rectangle
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
Collect like terms
Hope I helped!
Best regards!