Which statement best describes a solution to the system of equations 3x+Y=17 X+2y=49 A. It has no solution B. It has infinite solutions C. It has a single solution x=15 y=17 D. It has a single solution x=-3 y=26

Answers

Answer 1

Answer:

Answer:

It has a single solution x=-3 y=26

Step-by-step explanation:

The ratios of coefficients of x and y are different, so the pair of equations has one solution. It is easy to tell the first offered solution (15, 17) does not satisfy the first equation, so that choice is eliminated.

Fortunately, the second offered solution, (x, y) = (-3, 26), satisfies both equations.

The equations have a single solution: (x, y) = (-3, 26).

Answer 2

Answer:

Answer: The equation has a single solution x = -3 , y = 26.

( -3, 26 )

Step-by-step explanation:

3x + y =17 ---------------------(1)

x + 2y = 49 -------------------(2)

Using substitution approach

From (2)

x = 49 - 2y --------------------(3)

Now put (3) in equation (1) and solve.

3(49 - 2y) + y = 17

Open the bracket and solve

3 x 48 - 3 x 2y + y = 17

147 - 6y + y = 17

Gather like terms

-5y = 17 - 147

-5y = -130

Multiple through by (-1)

5y = 130

Divide by 5

y = 130/5

y = 26.

Substitute for y now in equation (3) to get the value of x

3x + y = 17

3x + 26 = 17

3x = 17 - 26

3x = -9

Now , divide by 3

x = -3

The equation had a single solution of x = -3 , y = 26

Chech.

3 x -3 + 26

-9 + 26

= 17

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Which of the following statements are mathematical statement? P: Math is not hard.
Q: Bill Gates is the founder of Microsoft.

A. P only

B. Q only

C. P and Q

D. None

Answers

Answer:

a is the right answer atleast that's what I think

Answer:

Step-by-step explanation:

neither of these is a mathematical statement. P only mentions the word math and Q has nothing to do with math.

between 6am and 10am re temperature rose by 5 fahrenheit between 10am and 2pm the temperature rose by 6 fahrenheit between 2pm and 6pm the temperature rose by 0 celsius would you be able to tell how much the temperature rise since 6am why or why not

Answers

Yes, we can able to know the temperature difference from 6 AM to 6 PM.
We need to convert all the temperature into one unit.

6 AM - 10 AM ---> 5 F = -15 C
10 AM - 2 PM ---> 6 F = -14.44 C
2 PM - 6 PM ---> 0 C.

So the total increase is 15C

Determine the sign of the product -2/9×1/7 enter + for positive or - or negative

Answers

Answer:

the sign of the product would be a negative or "-"

Step-by-step explanation:

Final answer:

The sign of the product of -2/9 × 1/7 is negative because one of the numbers being multiplied is negative and the other is positive.

Explanation:

In mathematics, the sign of a product is determined by the sign of the numbers that are being multiplied. When multiplying two numbers, if both numbers are positive or both numbers are negative, the product will be a positive number. If one number is positive and one is negative, the product will be a negative number.

In our case, we are multiplying -2/9 and 1/7. The number -2/9 is negative and the number 1/7 is positive. Since one number is positive and the other one is negative, the sign of the product -2/9×1/7 will be negative. Thus, we enter '-' for negative.

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Bloro Appliances is pushing a new model of dishwasher. It costs Bloro $71.22 to put each dishwasher on the sales floor, but they can sell the dishwashers for $285.50 apiece. Bloro has three primary salespeople, each of whom earns a different commission per dishwasher sold. Their sales data for the past six months is shown below. Salesperson Sold Commission/Sale
Rick 114 $47.50
Carl 176 $62.75
Lee 96 $51.35
In order to stock the dishwashers, Bloro Appliances had to sign a contract which included costs of $15,975. How much profit did Bloro Appliances gain from sales of these dishwashers over the past six months?
a. $72,839.40
b. $66,737.08
c. $61,320.68
d. $45,348.48

Answers

Bloro Appliances earned profit of $45348.48 from sales of these dishwashers over the past six months.

What is profit?

Profit is the money earned by a business when its total revenue exceeds its total expenses.

Profit = Selling price - Cost price

Selling price = 285.5 * (114 + 176 + 96) = $110203

Cost price = 114(71.22 + 47.5) + 176(71.22 + 62.75) + 96(51.35 + 71.22) + 15,975 = $64854.52

Profit = Selling Price - Cost Price

= $110203 - $64854.52 = $45348.48

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Answer:

Step-by-step explanation:

edg 20/21

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?

Answers

You need to find the solution to the system of equations:

y = 10 + 3.5x
y = 6x

Then, both right sides are equal to each other:

6x = 10 +3.5x

6x - 3.5x = 10

2.5x = 10

x = 10/2.5 = 4

And:

y = 6(4) = 24.

Answer: They both rented the bikes for 4 hours and paid $ 24.

If you would like to know how much did each pay for the rental, you can calculate this using the following steps:

y = 10 + 3.5 * x
y = 6 * x
_____________
10 + 3.5 * x = 6 * x
10 = 6 * x - 3.5 * x
10 = 2.5 * x
x = 10 / 2.5
x = 4 hours

y = 6 * x = 6 * 4 = 24 dollars

y = 10 + 3.5 * x = 10 + 3.5 * 4 = 24 dollars

They both paid 24 dollars for 4 hours.

Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle. She arranged the three angles connected together such that the three corners of the triangle were all touching. What type of angle was formed and what does this show?

Answers

The right answer for the question that is being asked and shown above is that: "180 - line." Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle.She arranged the three angles connected together such that the three corners of the triangle were all touching.

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