Lamar's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 34 sodas in all, 17 of which were regular. What percentage of the sodas were regular? A. 25% B. 35% C. 50% D. 75%

Answers

Answer 1
Answer:

Answer: C 50%

Step-by-step explanation: 17 is half of 34


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The vertex form of the equation of a parabola is x = (y - 4)2 + 27. What is the standard form of the equation? A. x = y2 + 8y + 27 B. x = 4y2 - 8y + 43 C. x = y2 - 8y + 43 D. x = y2 + y + 15
Solve for x: −3|x + 7| = −12
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What is the algebraic expression for this story problem?A tank is filling with water from a natural spring well. Two days ago the water was 10 feet deep, and yesterday the water was 12 feet deep. Assume that the water depth continues to rise at this same rate after today.

Answers

1.       Give the algebraic expression of the given story:
=> A tank is filling a water from natural Spring.
=> 2 days ago water measured 10 feet deep
=> yesterday the water measured 12 feet deep
=> And the water rises the same amount each day.
Algebraic expression is:
=> Since the filling of water in the tank is constant per day which means the water rises 2 feet per additional day.
=> let’s assign a variable for the number of days. Let’s have X
Now, let’s add the total of water depth 2 days ago until today.
=> 10(2 days ago) + 2(yesterday) + 2(today)
=> 14 feet
Then the algebraic expression would be:
=> 14 + 2x
where x is equals to the number of days that will pass.




A certain been plant grows 15% in height each day. Today after 10 days it is 27 inches tall. How tall was it yesterday?

Answers

x+0.15x=27\n 1.15x=27\n x\approx23.48\hbox{ in}

Sandra is 36 years old. Her son is 14 years old. How many years ago was Sandra 3 times older than her son? years ago

Answers

36
how many years ago (x years) was sandra (36-x) 3 times as old as son (at that time, 14-x)

sandra's age x years ago is 3 times son's age x years ago
36-x=3(14-x)
solve
distribute
36-x=42-3x
add 3x both sides
36+2x=42
minus 36
2x=6
divide 2
x=3

3 years ago
(36-3=33, 14-3=11, 11*3=33)

April sold 75 tickets to a school play and collected a total of $495. If the adult tickets cost $8 each and child tickets cost $5 each, how many adult tickets and how many child tickets did she sell?

Answers

Answer: 40 adult tickets and 35 child tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of child tickets that were sold.

April sold 75 tickets to a school play. It means that

x + y = 75

If the adult tickets cost $8 each and child tickets cost $5 each and and a total of $495 was collected from ticket sales, it means that

8x + 5y = 495- - -- - - - - - - - -1

Substituting x = 75 - y into equation 1, it becomes

8(75 - y) + 5y = 495

600 - 8y + 5y = 495

- 8y + 5y = 495 - 600

- 3y = - 105

y = - 105/-3

y = 35

x = 75 - y = 75 - 35

x = 40

Nick works two jobs to pay for college. He tutors for $15 per hour and also works as a bag boy for $8 per hour. Due to his class and study schedule, Nick is only able to work up to 20 hours per week but must earn at least $150 per week. If t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? A.) t + b greater than or equal to 20 15t + 8b = 150

B.) t + b less than or equal to 20 15t + 8b greater than or equal to 150

C.) t + b less than or equal to 20 15t + 8b less than or equal to 150

D.) None of the systems shown represent this scenario.

Answers

Answer:

Option B is the correct answer.

Step-by-step explanation:

Earning for tutoring per hour = 15$

Earning for bag boy per hour = 8$

We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.

Nick is only able to work up to 20 hours per week

                     t + b ≤ 20

But must earn at least $150 per week

                    15 t + 8 b ≥ 150

Option B is the correct answer.

The answer is B.
He can't work more than 20 hours so t+b must be less than or equal to 20.
He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Sandra is making vegetable soup. If she makes 12 cups of soup, how many cups of onions does she need? Each 3 cups uses 1/8 of onions

Answers

Sandra will need 1/2 cup of onions
1/8 cup onions for every 3 cups of soup
3 x 4 = 12
1/8 x 4 = 1/2
BRAINLIEST PLEASE! thank you

Answer:

1/2 or 0.5

Step-by-step explanation:

For 3 cups she needs 1/8 of onions.

so for 1 cup she will need 1/8 ÷ 3 = 1/8 × 1/3 = 1/24.

for 1 cup of soup she needs 1/24 of onions.

For 12 cups of soup, she will need 12 × 1/24 of onions

12/1 × 1/24 = 12/24 = 1/2 or 0.5