Answer:
249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk
Step-by-step explanation:
If x is the gallons of 7% butterfat milk, and y is the gallons of 3% butterfat milk, then:
x + y = 332
0.07x + 0.03y = 0.06(332)
Solve the system of equations using substitution:
0.07x + 0.03(332 − x) = 0.06(332)
0.07x + 9.96 − 0.03x = 19.92
0.04x = 9.96
x = 249
y = 332 − x
y = 83
You need 249 gallons of 7% butterfat milk and 83 gallons of 3% butterfat milk.
Forty four out of 72 is = 44 / 72
44 / 72 2 into 44 is 22 and 2 into 72 is 36
22 / 36 2 into 22 is 11 and 2 into 36 is 18
11 / 18
It is d. The h is the amount of hours and this must be paired with 25 because that is the rate do you can eliminate b and c. It is not a because that is making it so the cost is above 200 when you are trying to keep it below that
The measures of the interior angles of a quadrilateral add up to 360 degrees, so make angles A, B, C, and x add up to 360 in an equation and solve for x, the missing angle.
(80) + (98) + (70) + x = 360
Combine like terms.
248 + x = 360
Subtract 248 from both sides.
x = 112
C) 112 degrees
Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
