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galben [10]
3 years ago
15

PLEASE ANSWER FAST ASAP

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

Step-by-step explanation:

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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

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:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

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:

h\leq 15

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:

t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

6 0
3 years ago
Teachers were asked what their favorite ice cream was. The ratio of teachers that prefer rocky road to mint is 5 to 2. If there
DerKrebs [107]

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

5x+2x=98\\7x=98

Dividing both sides by 7

\frac{7x}{7}=\frac{98}{7}\\x=14

Teachers who prefer mint = 2x = 2(14) = 28

28 teachers prefer mint.

Keywords: ratio, division

Learn more about division at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

6 0
3 years ago
10-kg batch of a food product has a moisture content of175% dry basis. Calculate the amount of water to beremoved from the produ
sleet_krkn [62]

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%

3 0
3 years ago
7
poizon [28]

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

3 0
3 years ago
True or false if you know the area and length of a rectangle you can find its width ?
a_sh-v [17]
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.
4 0
3 years ago
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