Not sure why it needs to be a fraction, if I am missing something please tell me. 64 or 64/1
Answer:
y = 24
Step-by-step explanation:
8 : 4 : : y : 48
8 / 4 = y / 48
1 / 2 = y / 48
y = 48 / 2
y = 24
Answer:
m∠DEC = 78°
Step-by-step explanation:
Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.
If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.
AC = AD (Given)


According to the angle sum property, the sum of interior angles of a triangle is 180°.




Divide both sides by 2.

CE bisects ∠ACD.



Use angle sum property in triangle CDE,




Subtract 102 from both sides.


Therefore, the measure of angle DEC is 78°.
Answer:
3.05 or 31/2 pounds
56 ounces
Step-by-step explanation:
To find the total weight all the weights have to have the same units of measurements
It is either pounds is converted to ounces or ounces is converted to pounds
1. convert ounces to pound
1 ounce = 0.0625
12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4
add together = 1 1/2 + 3/4 + 1 1/4 = 
=
= 3 1/2
2. 16 ounces = 1 pound
flour = 16 x 1 1/2 = 24
sugar = 16 x 1 1/4 = 20
total = 24 + 20 + 12 = 56 ounces
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.

Divide both sides by 1/30 to get k alone.
and

Our model then is

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.