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OverLord2011 [107]
3 years ago
13

A restaurant offers diet soda and regular soda.In one day they sold 64 sodas.If 28 of the sodas they sold were diet, what is the

ratio of regular sodas sold to diet sodas sold?
Mathematics
1 answer:
german3 years ago
7 0

Answer: The ratio of regular sodas sold to diet sodas sold is 9:7

Step-by-step explanation:

The restaurant offers diet soda and regular soda.

In one day they sold a total of 64 sodas. If 28 of the sodas they sold were diet sodas, the rest would be regular sodas. Therefore, the number of regular sodas sold will be 64 - 28 = 36 regular sodas. The ratio of regular sodas sold to diet sodas sold would be the number of regular sodas sold divided by the number of diet sodas sold. It becomes

36/28 = 18/14 = 9/7

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P=f/a, where f=70 and a=20 f is increased by 10 a is increased to by 10 <br><br>​
valina [46]

Answer:

P=3.5

P=2.667

Step-by-step explanation:

p=f/a

P=70/20

P=3.5

then f is increased by 10

f=70+10=80

and a is increased by 10

a=20+10

a=30

therefore; P=f/a

P=80/30

P=2.667

3 0
2 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
Fittoniya [83]

Answer:

(a)

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

r\geq  5

Since she does yard work, y\geq 0

Lia’s parents allow her to work a maximum of 15 hours per week overall.

r+y\leq 15

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

8r+12y\geq 120

The system of inequalities that represent this problem is therefore:

r\geq  5

r+y\leq 15

8r+12y\geq 120

y\geq 0

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

  • (5,10)
  • (5, 6.7)
  • (15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

  • At (5,10), Earning=(5X8)+(10X12)=40+120=$160
  • At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
  • At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

8 0
3 years ago
I need help please !!! <br><br>​
lora16 [44]

Answer: g(4)= -60

Step-by-step explanation:

You just plug in 4 into the equation

g(4)= 2√4 - (4)³

g(4)= 2√4 - (4)³

g(4)= 2·2 - (64)

g(4)= 4 - 64

g(4)= -60

7 0
3 years ago
Use the information to find the value cot 0 =
hjlf

The tangent function is given by:

\tan (\theta)=\frac{opposite}{_{\text{ }}adjacent}=\frac{5}{12}

Since the angle is in the 3rd quadrant the opposite side and the adjacent side are negative. So, the cotangent function is given by:

\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{adjacent}{_{\text{ }}opposite}=\frac{-12}{-5}=\frac{12}{5}

Answer:

12/5

8 0
1 year ago
Lani says that product of an odd number and an odd number is an odd number. write a number sentence that shows how Lani is state
PIT_PIT [208]
Any odd number multiplied by another will result in an ofd number. ex. 9x7=63 You can multiply any two odd numbers and solve.
6 0
3 years ago
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