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NikAS [45]
2 years ago
9

Use elimination to solve the system of equations. x+y=−3 2x−3y=29

Mathematics
2 answers:
attashe74 [19]2 years ago
7 0

Answer:

(4,-7)

Step-by-step explanation:

tatyana61 [14]2 years ago
5 0

Answer:

(4,-7)

Step-by-step explanation:

2x-3y=29

2x+2y=-6

subtracting gives us -5y=35 so y is -7 and x-7=-3 so x is 4. therefore the ordered pair is (4,-7)

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Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocel
AfilCa [17]

Complete Question:

Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

Therefore, in this case,

c = 45

b = 27

a = 36

Thus, what we need to check to be true would be:

36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)

Let's check if it's true.

2,025 = 2,025 (this is true)

Therefore, the triangle is a right triangle.

8 0
2 years ago
According to Chef Robert Sevaly, pressure cookers "really are a timesaver, cutting your cooking time by three-fourths." If a per
solniwko [45]

Answer:

1. Cooking time saved in a month = 42.86 * 3/4 = 32 hours

2. Cooking time saved in a year = 520 * 3/4 = 390 hours

3. Since the household saves 390 hours in a year using pressure cooker, it will then save 390 * $2 = $780

Step-by-step explanation:

Hours spent cooking on average per week = 10 hours

Hours spend cooking on average per day = 1.43 (10/7), assuming 7 days in a week

Total hours spent on average per month = 42.86 (30 * 10/7), assuming 30 days in a month

Total hours spent on average per year = 520 (52 * 10) hours, assuming 52 weeks in a year.

Savings in time = 3/4

Therefore, the cooking time saved in a month = 42.86 * 3/4 = 32 hours

And the cooking time saved in a year = 520 * 3/4 = 390 hours

If on the average, a household spends $20 in natural gas for cooking per month, the money it would save by using a pressure cooker in a year will be equal to:

Cost of each hour of cooking without pressure cooker = $20/10 = $2 per hour

Since the household saves 390 hours in a year using pressure cooker, it will then save

= Hours saved multiplied by hourly cost of gas

= 390 * $2

= $780

6 0
3 years ago
A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6.
olchik [2.2K]

Based on the markdowns and the number of each of the plants purchased, the amount saved is <u>$9.06</u>

Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:

<em>Discounted cost = Original cost x (1 - Discount)</em>

6.57 = Original x (1 - 27%)

Original = 6.57 / 0.73

Original = $9.00

The savings here are therefore:

= 2 x (9 - 6.57)

= $4.86

The original cost of the Tomato seedlings is:

= 2.60 / ( 1 - 35%)

= $4.00

Savings would be:

= 3 x (4 - 2.60)

= $4.20

Total savings are therefore:

= 4.86 + 4.20

= $9.06

In conclusion, $9.06 was saved.

<em>Find out more on this at brainly.com/question/25748983. </em>

8 0
2 years ago
John is driving the country. He used 75 gallons of gas in 5 days. If he keeps using the gas at the same rate, how many gallons w
Alex Ar [27]
120.

To find out how much gas he is using per day, you can use 75/5 which comes to 15. Then multiplying 15 with the 8 days, you get a sum of 120.
7 0
3 years ago
Could I get an explanation and some help?
True [87]
Think of it as a normal linear equation first. Let's find the slope.
m = rise/run = (3-1)/(0-1) = -2
We know the slope is negative now, so we can immediately get rid of the first two answers. Now, we know that the solutions must be under the line itself, so we can try figuring it out by testing some points. Let's use (0,0).
Is 0 </> 0+3? Since it's <, then we know the last answer is correct (y < -2x + 3).
7 0
3 years ago
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