Let number of hours needed to work = x
Multiply number of hours by rate: 15x
Add what you already have saved:
15x + 215
This needs to equal at least 800:
The equation becomes:
15x + 215 >= 800
Solve for x:
15x + 215 >= 800
Subtract 215 from both sides
15x >= 585
Divide both sides by 15
X >= 39
They have to work at least 39 hours.
Let
x------> amount of pounds of apples
y------> amount of pounds of oranges
z-----> amount of pounds of peaches
we know that
x+y+z=127------> equation 1
x=4z-----> equation 2
y=7+z----> equation 3
substitute equation 2 and equation 3 in equation 1
x+y+z=127----> (4z)+(7+z)+z=127---> 6z=127-7---> 6z=120----> z=20 lb
x=4z---> x=4*20----> x=80 lb
y=7+z----> y=7+20---> y=27 lb
amount of pounds of apples----> 80 lb
amount of pounds of oranges----> 27 lb
amount of pounds of peaches---> 20 lb
30 divided by 5 is 6, so the other term is (x+6). (x+5)(x+6) becomes x^2+11x+30, so k is equal to 11.
I believe that 1 cup has 8 fluid ounces, and for 3 it is 24 fluid ounces, and for 5 it is 40 fl oz, for 7 it is 56 fl oz
For gallons the first one is 16, for 5 it is 20, for 6 it is 24, and for 7 it is 28.
For the gallon with pint measurement, the first one is 32 pt, the second one is 40, the third one is 48, and the fourth one is 56.
For quarts the first one is 2 pt, the second is 4 pt, the third one is 6 pt, and the fourth one is 8 pt.
Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m = 
.
Therefore, the slope of the line perpendicular to the line given = 
because 
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 = (x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
