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Nikitich [7]
3 years ago
10

Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Expr

ess as a simplified ratio.
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
175:300 is simplified to 35: 60 which is simplified to 7: 12 whichis your final answwer
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What is the value of X? Make sure to show all of your work!
Rzqust [24]
Since this is a equilateral triangle all angles are equal to each other. All angles in a triangle always add up to 180 degrees.

So you would set up your equation like so
3(7x - 3) = 180
The 3 outside the parenthesis resembles the 3 angles.
You equal the equation to 180 since all the angles in a triangle = 180
So distribute the 3
21x - 9 = 180
Add 9 to both sides
21x = 189
Divide 21 on both sides
x = 9
4 0
3 years ago
Cuidadosamente, Severina, a empregada dos “Silva” arruma uma bela cesta de maçãs. O patriarca ao ver as maçãs toma para si 1/6 d
sveticcg [70]

There was a total of 18 apples

<u>Step-by-step explanation:</u>

Let us consider the total no. of apples be 'a'.

Patriarca took 1/6 of the apples. So the remaining apples is,

   a - (1/6) a= (5/6) a

Step 1:

His wife takes (1/5) of the rest of the apples. So after she takes the apples the remaining apples will be,

   (5/6) a - (1/5) (5/6) a

   (5/6) a - (1/6) a = (4/6) a

Step 2 :

Her elder son takes (1/4) of the remaining apples. So,

   (4/6) a - (1/4) (4/6) a

   (4/6) a - (1/6) a = (3/6) a

Step 3:

Middle son takes (1/3) of the remaining apples. So,

   (3/6) a - (1/3) (3/6) a

   (3/6) a - (1/6) a = (2/6) a

Step 4:

Younger son takes (1/2) of the remaining apples. So,

   (2/6) a - (1/2) (2/6) a

   (2/6) a - (1/6) a = (1/6) a

After work she takes the remaining 3 apples. So the remaining apples were 3

So,

   (1/6) a = 3

       a = 3 x 6

      a = 18 apples

There were a total of 18 apples.

7 0
3 years ago
Company B: starting salary-28,000 Yearly salary increase-2,400
Naya [18.7K]

Answer:

Sharla, 4400

Step-by-step explanation:

Paul's Salary:

Paul started at company B. Starting salary of company B is $ 28,000 with a yearly increase of $ 2,400. Paul's Salary in first year will be 28,000. In second year his salary will be 28000 + 2400, in 3rd year his salary will be: 28000 + 2(2400) and so on.

Since, the increase in Paul's salary every year is $ 2400, the increase in his salary after 10 years or in 10th year would be = 2400 x 9 = $ 21,600

So, his total salary in 10th year would be = 28000 + 21600 = $ 49,600

Sharla's Salary:

Sharla started at company C. Starting salary of company C is $ 36,000 with a yearly increase of $ 2,000.

Since, the increase in Sharla's salary every year is $ 2000, the increase in her salary after 10 years or in 10th year would be = 2000 x 9 = $ 18,000

So, her total salary in 10th year would be = 36000 + 18000 = $ 54,000

Conclusion:

Sharla earned more in 10th year an amount equal to $ 4400. So the answer is:

In the last year, <u>Sharla</u> earned <u>$4,400</u> more.

5 0
3 years ago
Find the future value of an ordinary annuity of $80 paid quarterly for 2 years if the interest rate is 7 % compounded quarterly
Neko [114]

Answer:

70

Step-by-step explanation:

4 0
3 years ago
SOMEONE PLEASE HELP<br><br><br>and please explain it so I won't get confused further on ​
Pavlova-9 [17]
Number 5 is 110 degrees because it is the same angle as m<2.

Now, to find m<7
A straight line is 180 degrees. One side is already given. m<8+m<7 = 180 degrees. So 180-110=70.

Answers:
4. m<7= 70 degrees

5. m<8= 110 degrees

3 0
2 years ago
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