Answer:
(3 x + 5) (x + 5)
Step-by-step explanation:
Factor the following:
3 x^2 + 20 x + 25
Hint: | Factor 3 x^2 + 20 x + 25 by finding factors of 3×25 whose sum is 20.
Factor the quadratic 3 x^2 + 20 x + 25. The coefficient of x^2 is 3 and the constant term is 25. The product of 3 and 25 is 75. The factors of 75 which sum to 20 are 5 and 15. So 3 x^2 + 20 x + 25 = 3 x^2 + 15 x + 5 x + 25 = 5 (3 x + 5) + x (3 x + 5):
5 (3 x + 5) + x (3 x + 5)
Hint: | Factor common terms from 5 (3 x + 5) + x (3 x + 5).
Factor 3 x + 5 from 5 (3 x + 5) + x (3 x + 5):
Answer: (3 x + 5) (x + 5)
Yards= 42 2/3 yd=42 + 2/3 yd=(42*3 + 2)/3 yd=128/3 yd
Gallons=1 1/3 Gallons=1+1/3 gallons=(3*1+1)/3 gallons=4/3 gallons.
Rate=number of yards / number of gallons.
Rate=(128/3 yd) / (4/3 gallons)=32 yd/gallon.
Answer: Angela´s rate=32 yards / gallons
Answer:
The constant of variation k is 3/2.
The value of z is -30.
Step-by-step explanation:
As we know Function form is
Z=kxy-------------1
So for k
K = z/xy
So if z=18, x=2 y=6
k= 18/2 x6
k= 18/12
k=3/2
Now we have to find for z, now we know the value of x= -4 y =5 z =3/2
z= kxy
z= 3/2 (-4)(5)
z= -30
Answer:
449.54 millimetres
step by step explanation
Blood donated by Hannah = 1.9 cups
1 cup = 236.6 millimetres
Therefore, 1.9 cups = 1.9 * 236.6 = 449.54 ml
So Hannah donated 449.54 millimetres of blood.
Answer:
x = 17deg
Step-by-step explanation:
angle DCE = angle ACB (vertically opposite angles)
therefore,
x + 100 = 4x + 49
3x = 51
x = 17deg
