MATHEMATICS COLLEGE

Please, I need help! a positive integer is subtracted from its square. The sum is 56. Write and solve a quadratic equation to find the number. Thank you!

Answers

Answer 1
Answer:

Answer:

8

Step-by-step explanation:

x² − x = 56

x² − x − 56 = 0

(x − 8) (x + 7) = 0

x = -7 or 8

x is positive, so x = 8.

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●Jamie went out to her grandfather's farm. Her grandfather has pigs and chickens on his farm. She noticed that there were a total of 26 heads and 68 feet among them. How many chickens and how many pigs did her grandfather have?

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket? 35 dollars (0.08) 35 dollars (8) 35 dollars (0.08) + 35 dollars 35 dollars (8) + 35 dollars

Answers

Answer:

35 dollars (0.08)

Step-by-step explanation:

35 + 8%, taxes are most likely in cents

Answer:

35 dollars (0.08)

Step-by-step explanation:

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?

A.35 dollars (0.08)

B.35 dollars (8)

C.35 dollars (0.08) + 35 dollars

D.35 dollars (8) + 35 dollars

because i just took the test and i got 94.3 and this question is right.

Hopefully this helps.

Patricia, audrey, and laticia are in a nursery buying plants for their gardens. Patricia orders six magnolias and two camellias. Audrey orders four camellias and three azaleas. leticia orders three magnolias, two camellias, and four azaleas. If patricia, audrey, and leticia paid $168.00, $150.30, and $222.50 respectively, what are the individual costs of a magnolia, a camellia, and an azalea?

Answers

Answer:

The cost of each magnolia plant is $23.24, the cost of each camellia plant is $14.28, and the cost of each azalea plant is $31.05.

Step-by-step explanation:

I attached the explanation.

Tell whether the following set is an empty set or not. A = {A quadrilateral having 3 obtuse angles}

Answers

Answer:

It is not an empty set

Step-by-step explanation:

Obtuse angles are angles greater than 90 and less than 180.

There are quadrilaterals having 3 obtuse angles and they are possible.

If we imagine 3 obtuse angles of 91 degrees (obtuse angle), the 4th angle will be

360-91-91-91

=> 87 degrees

So, This quadrilateral can be constructed!

And also with 92, 93, 94 and so on!

So, Set A is not an empty set!

Answer:

It is not an empty set

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

GUESS!147 - One digit is right but in the
wrong place
189 - One digit is right and in its
Place
964- Two digits are correct but both
are in the wrong place
523 - All digits are wrong
286 - One digit is right but in the
wrong place
What
are
the three numbers !​

Answers

The three numbers are 6, 7 and 9

Explanation:

First of all exclude the numbers which aren't correct.

From the 4th data,We can conclude the digit 5, 2 and 3 are wrong.

Now,

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • 523 - All digits are wrong
  • 286 - One digit is right but in the wrong place

We've to find the three digits :

From case 4: 5, 2 and 3 are wrong

So, remove 5, 2 and 3 from all the cases

The numbers are:

  • 147 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 964 - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 1st and 3rd we can say that: 4 is present in both the case but wrongly placed.

Now the digits become:

  • 1_7 - One digit is right but wrong placed
  • 189 - One digit is right and placed correctly
  • 96_ - Two digits are correct but at wrong place
  • _86 - one digit is right but in the wrong place

From 3rd and 4th case we can say that: 9 and 6 are correct but wrongly placed, 8 is not the number and 6 is placed at first

So, the two numbers of a 3 digit number are 6 and 9

From 2nd, 3rd and 4th case, the position of 6 and 9 are:

6  _  9

From 1st case, 7 is the digit but wrongly placed. So, the 3 digit number becomes:

6 7 9

During a ​5-year ​period, 24​% of snowstorms in a certain city caused power outages. 57 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the ​5-year period.

Answers

Answer: my 8 year old step sis likes me

Step-by-step explanation: plz help

A comet travels at an average speed of 233,000 km/h. It takes 7 days for the comet to reach Earth.
Find the distance, in km, the comet travelled.

Answers

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km
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