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trasher [3.6K]
3 years ago
10

Samantha just opened a new restaurant. She earned $550 on the first day and $750 on the third day that she was open for business

. If Samantha's earnings continue to increase at the same rate, by how much are her earnings increasing each day? $________ per day Show your work. HINT: Find the slope.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

Step-by-step explanation:

If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.

If she earned $550 in the first day, we can say the first term is $550

If she earned $750 on the third day, we can say the third term is $750

For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence

550, x , 750

T1 = 550

T2 = x

T3 = 750

Common difference d = T2-T1 = T3-T2

x - 550 = 750 - x = d

Let's calculate the second term first i.e x

Since x - 550 = 750 - x = d

x - 550 = 750 - x

Collect like terms

x+x = 750+550

2x = 1300

x = 1300/2

x = 650

d = T2-T1

d = x - T1

d = 650-550

d = 100

Hence her money keeps increasing by $100 each day

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1572*7=11004

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94050-11004=83046

the profit is $83046

6 0
3 years ago
Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions
docker41 [41]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question :

Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder?

Since the Area of the potholder = 80 sq inch

And the dimension of the potholder ; length and width are integers ; Hence, possible dimensions could be ;

Area = length × width

80 = length × width

(80, 1), (40, 2), (20, 4), (10, 8), (16, 5)

Potholders are fabrics sewn from the purpose of being used to handle pots and other kitchen equipments.

Usually the dimension are usually close, hence, the most sensible dimension a potholder with an area of 80 sq inch could have is 8 by 10 or vice-versa.

7 0
3 years ago
Six plus -2 times a number is the same as 26 plus six times the same number.
aleksandr82 [10.1K]

Step-by-step explanation:

let the number be x

and according to question,

six + 2 times a number = 2x + 6

26 + 6 times a number = 6x + 26

→ 2x + 6 = 6x + 26

→ -6x + 2x = 26 - 6

→ -4x = 20

→ x = 20/4 = 5

→ x = 5

therefore, the number is 5.

hope this answer helps you dear...take care and may u have a great day ahead!

7 0
3 years ago
What is the value of x in the equation 25x2 = 16?
valentina_108 [34]
<span>25x2 = 16
x^2 = 16/25
</span>x^2 = 4^2/5^2
<span>x = 4/5

</span>
7 0
3 years ago
Read 2 more answers
Is -12/6 a rational number?
stiv31 [10]
A rational number is any number that can be turned into a fraction....it can be negative or positive.

Therefore, -12/6 is a rational number
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3 years ago
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