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____ [38]
3 years ago
8

Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age

of his sister. Miguel is 65 years old. Using the results from Part C, write an equation to find Paula’s age, p (in years).
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:   The answer is x = 65 - 60y.


Step-by-step explanation:  Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.

Thus, we can find Paula's age (y) using the equation

y=\dfrac{65-x}{60},

where 'x' is the age of Raul.



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Janelys buys milk and apples at the store.
Natali5045456 [20]

Answer:

Each bag costs $4.75

Step-by-step explanation:

41.22 = 3.22 + 8x

38 = 8x

4.75 = x

7 0
2 years ago
A student solved 6x+4=2(x−8) in four steps as shown:
mr_godi [17]
The first thing you should do is solve the equation yourself.

1) Distribute the 2.  
6x + 4 = 2x – 16

2) Next, you'll want to get the x's on one side. So add -2x to both sides.
6x + 4 + -2x = 2x + -2x - 16
4x + 4 = -16

3) Now subtract 4 from both sides
4x + 4 – 4 = -16 – 4
4x = -12

4) Finally, divide both sides by 4
4x/4 = -12/4
x = –3

To solve this problem all you need to do is look back out you work, and figure out the correct solution. The answer the question is The student made an error in Step 1.

7 0
3 years ago
The price of a gallon of unleaded gas has dropped to 2.84 today. Yesterday's price was 2.89. Find the percentage decrease. Round
goldfiish [28.3K]

Answer: Answer: 2.1 %

Step-by-step explanation:

Decrease = initial price - final price

% decrease = [ (initial price - final price)  / initial price ] *100

% decrease =[ (2.89 - 2.83) / 2.89] * 100 =  2.08, which can be rounded to 2.1

8 0
2 years ago
Jack is 13 years younger than his older brother, Tyler. Their Dad is twice Tyler's age. The sum of their ages now is 91. Find Ja
grin007 [14]

Answer:

13 years old

Step-by-step explanation:

So to solve this we use a system of equations. Let's use "j" to represent Jack, "t" to represent Tyler, and "d" to represent the dad. Set the system up and it will look something like this:

j = t - 13 (Jack is 13 years younger than Tyler)

d = 2t (Dad is twice Tyler's age)

d + j + t = 91 (The sum of the ages is 91)

And then solve, I solved by isolating the "j" variable on the last equation, giving us j = 91 - t - d, then plugged that into the first equation, giving us 91 - t - d = t - 13, and got d = 104 - 2t. Then I plug that into d = 2t, giving us 104 - 2t = 2t, and solve for t. T is 26, meaning Tyler is 26 years old, and then I just subtract 13 from that, giving us 13 years old.

And finally, I obviously checked my answer, because now we know dad is 52, and I got 91.

5 0
2 years ago
Solve the equation 6w2 – 7w – 20 = 0.
azamat

For this case we have the following quadratic equation:

6w ^ 2-7w-20 = 0

Where:

a = 6\\b = -7\\c = -20

Its roots will be given by:

w = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\w = \frac {- (- 7) \pm \sqrt {(- 7) ^ 2-4 (6) (- 20)}} {2 (6)}\\w = \frac {7 \pm \sqrt {49 + 480}} {12}\\w = \frac {7 \pm \sqrt {529}} {12}\\w = \frac {7 \pm23} {12}

The roots are:

w_ {1} = \frac {7 + 23} {12} = \frac {30} {12} = \frac {15} {6} = \frac {5} {2}\\w_ {2} = \frac {7-23} {12} = \frac {-16} {12} = - \frac {8} {6} = - \frac {4} {3}

Answer:

w_ {1} = \frac {5} {2}\\w_ {2} = - \frac {4} {3}

7 0
3 years ago
Read 2 more answers
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