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ch4aika [34]
3 years ago
10

2x² + 4x + 4 + x² + 1 = 180

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Step-by-step explanation:

2 {x}^{2}  + 4x + 4 +  {x}^{2}  + 1 = 180

3 {x}^{2}  + 4x + 5 = 180

{3x}^{2}  + 25x - 21x - 175 = 0

x \times (3x + 25) - 7(3x + 25) = 0

(3x + 25) \times (x - 7) = 0

3x + 25 = 0 = x - 7 = 0

x =  -  \frac{25}{3}  = x = 7

= x_{1} =  -  \frac{25}{3} . \:  \:  x_{2} = 7

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kathy uses a 1/2 cup of milk with every bowl of her favorite cereal if there are only 3 3/5 cups of milk left, then how many bow
Murrr4er [49]

Taking a quotient, we will see that she can make 7 bowls of cereal (and some leftover milk).

<h3>How many bowls of cereal would kathy have?</h3>

We know that for each bowl, she needs 1/2 cups of milk.

And we also know that she has a total of (3 + 3/5) cups of milk.

To know how many bowls she can make, we need to take the quotient between the total that she has and the amount that she needs for each bowl:

(3 + 3/5)/(1/2)

We can rewrite the total as:

3 + 3/5 = 15/5 + 3/5 = 18/5

Then the quotient becomes:

(18/5)/(1/2) = (18/5)*2 = 36/5 = 35/5 + 1/5 = 7 + 1/5

So she can make 7 bowls of cereal (and some leftover milk).

If you want to learn more about quotients:

brainly.com/question/629998

#SPJ1

6 0
1 year ago
a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was
Mashutka [201]

Answer:

$162.50

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers

larisa86 [58]

Answer:

The correct answer is D, 0.20. You add the probabilities of either situation occurring and subtract the probability of both of them occurring.

Step-by-step explanation:

0.25 + 0.08 - 0.13 = 0.20

3 0
3 years ago
Read 2 more answers
3. Paula commutes 60 km each day for work, five days a week, nine months of the year. She travels 720
bezimeni [28]

Answer:

16,080 km.

Step-by-step explanation:

We want the total number of kilometers in one year.

so

4 weeks /month.

for Work:   9 months in the year  60 km/day  5 days/week

Family Visit :  720 km for 4 times a year

Personal:  200 km / month

Work total = 60 km/day * 5 days/week * 4week/month * 9 months

WorkTotal= 60*5*4*9 = 10,800 km

FamilyTotal= 4*720 = 2880 km

Personal = 200*12 = 2400 km

Total = 10,800 + 2880 + 2400 = 16,080 km

7 0
3 years ago
How to write out a one-step equation for a word problem. Maggie spent half of the money in her savings account on a new computer
Fittoniya [83]

Answer:

  (1/2)s = 345

  s = 690 (Maggie's savings balance)

Step-by-step explanation:

For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for

  • what you're being asked to find (what is the question to answer)
  • the information you're given that is relevant to the question asked.

Here, you're asked to find a savings account balance. You're told that $345 is half that amount.

__

After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.

A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)

The problem statement tells us that half the savings account amount is $345, so our equation is ...

  (1/2)s = 345

__

The "one step" required to solve this so to multiply both sides of the equation by 2.

  s = 690

Maggie had $690 in her savings account before she bought the computer.

5 0
3 years ago
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