A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?

9514 1404 393

  4.5 lb

Step-by-step explanation:

The ingredients are proportional so ...

  wheat/rice = 3/2 = ??/3 lb

Multiplying by 3 lb gives ...

  ?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb

The mixture contains 4.5 lb of wheat.

Additional comment

Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)

  a/b = c/d   ⇔   b/a = d/c   ⇔   a/c = b/d   ⇔   c/a = d/b

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.