Answer:
There are 80 paperbacks on the shelf
Step-by-step explanation:
Multiply 2/3 by 120
So that would be:
2/3 x 120/1
(2 x 120)/(3x1)=240/3=80
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.
To solve systems of two equations with two variables (in this case, "x" and "y"), you choose one equation and attempt to solve for one of the variables.
For example, I will try solving for x using the first equation.
5x - 2y = 5
5x = 5 + 2y [move 2y to other side]
x = (5 + 2y) / 5 [divide both sides by 5]
x = 1 + (.4)y [simplified form]
Now, I plug this value into the x of the second equation to solve for y.
2x + 3y = 21
2 * (1 + (.4y)) + 3y = 21 [plug in x]
2 + (.8)y + 3y = 21 [distribute 2 to the x value we plugged in]
2 + 3.8y = 21 [add the y terms together]
3.8y = 19 [subtract 2]
y = 5 [divide by 5]
Now that we know the value of y, plug it into either of the original equations to find x. I'll plug it into the first one.
5x - 2y = 5
5x - 2(5) = 5 [plug in y]
5x - 10 = 5 [2 * 5]
5x = 15 [add 10]
x = 3 [divide by 5]
The final answer is x = 3, y = 5.
Answer:
-49 275/1000
Step-by-step explanation:
Just multiply the numbers by 1.25
so the height is 15 in
and base is 7.5 in
goodluck