Answer:
a.) 
b.) 
c.) $
Step-by-step explanation:
a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

Solve for h. Divide both sides by 7:

Sylvia worked 13 hours at a rate of $7 an hour.
b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

Sylvia can work less than or equal to 15 hours per week.
c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

The most money Sylvia can earn in a week is $105.
<em>Finito.</em>
28 teachers prefer mint.
Step-by-step explanation:
Given,
Total number of teachers = 98
Ratio of teacher that prefer rocky road to mint = 5:2
Let,
x be the original number.
Teachers who like rocky road = 5x
Teachers who like mint = 2x

Dividing both sides by 7

Teachers who prefer mint = 2x = 2(14) = 28
28 teachers prefer mint.
Keywords: ratio, division
Learn more about division at:
#LearnwithBrainly
Answer:
4.9kg of water
Step-by-step explanation:
Dry basis is the percentage ratio of moisture amount to amount of dry product which is 175%
Ratio of moisture amount to dry product = 175 : 100
Mass of food product = 10kg
Amount of moisture in food product = 175/175+100 × 10kg = 175/275 × 10kg = 6.4kg
Wet basis is the percentage ratio of the moisture amount to the total weight of material which is 15%
Ratio of moisture amount to total weight of material is 15 : 100
Amount of moisture in food product = 15/100 × 10kg = 1.5kg
Amount of water contained in the final product = 1.5kg
Amount of other components in the food product = 10kg - 6.4kg = 3.6kg
Total amount = 1.5kg + 3.6kg = 5.1kg
% of water = 1.5kg/5.1kg × 100 = 29%
Answer:
4:3
Step-by-step explanation:
24/8=3 there are 3 blue beads to __ purple beads
32/8=4 there are __ blue beads to 4 purple beads
there are 3 blue beads to 4 purple beads
True. The formula for the area of a rectangle is length multiplied by width. Therefore, we can find the width by dividing the area by the length through Division Property of Equality.