One third of number is 8 less than the three times of the number, working pls

Answer:

Let's let g = Dr. Garcia's age and s = his son's age.

g = 2s, right?

20 years ago, Dr. Garcia was g - 20 years old.  He was also 4(s - 20), 4 times his son's age 7 years ago.

g - 20 = 4(s - 20)

g - 20 = 4s - 80

In the first equation, we have g = 2s.  We are going to substitute this g into the second equation.

2s - 20 = 4s - 80

       60 = 2s

       s = 30

So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.

20 years ago, his son would have been 10 and Mr. Garcia would have been 40.  10 x 4 = 40.

Step-by-step explanation:

Brainliest?

Answer:

Dr. Garcia's age is 60, and his son's age is 30.

Step-by-step explanation:

Let x be Dr. Garcia's age, and y his son's age.

1. Dr. Garcia is twice as old as his son

x = 2 y

2. Twenty years ago, he was 4 times as old as his son was then

x - 20 = 4 (y - 20)

Substitute x in 2 and solve for y:

2 y - 20 = 4 (y - 20)

2 y - 20 = 4 y - 80

- 20 = 2 y - 80

60 = 2 y

y = 30

Put y back into 1:

x = 2 (30)

x = 60

So Dr. Garcia's age is 60, and his son's age is 30.

Answer:

hope this helps you out ask me if you need more help

Answer:

Mean: 34.8

median:34

Mode: 13,34

Range:65

Step-by-step explanation:

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34.

The value of Range is 56.

Here,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

We have to find the value of Mean , Median , Mode and Range.

What is Range of the data set?

To find Range of the data set we have to find the difference of highest and lowest number of the set.

Now,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

Firstly we arranged in the ascending order we get;

13, 13, 26, 34, 34, 41, 53, 61, 69

The Mean of data set is calculated as;

Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]

Hence, The value of Mean is 34.4

And, The Median is calculated as,

There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.

Hence, The value of Median = 34 (middle term)

Now, The Mode is the number that appears most often within a data set.

In the data set,

13, 13, 26, 34, 34, 41, 53, 61, 69

Number 13 and 34 repeat two times.

So, The value of Mode = 13 and 34

Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.

Here, In the data set;

The highest number = 69

The lowest number = 13

Hence, Range = 69 - 13 = 56

Therefore,

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34

The value of Range is 56

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Answer:

Step-by-step explanation:

(2x^2 + 10x + 7x + 35) - (x^2 - 3x + 5x - 15)

x^2 + 15x + 50

(x + 5)(x + 10)

x = -10

Step-by-step explanation:

a

(x+5)(2x+7)-(x+5)(x-3)

factorize (x+5) out

(x+5)[(2x+7)-(x-3)]

(x+5)(2x+7-x+3)

(x+5)(2x-x+7+3)

(x+5)(x+10)

b. to get the zeros of the equation,

(x+5)(x+10)=0

x+10=0

x=-10

since the other one has been found already

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

⇒

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

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Answer:

N= 4

Step-by-step explanation:

y^3 * y^n

_______  = y^6    

   y

First we multiply the 2 y's together to get

y^n+3

____         = Y^6

Y

Then we will multiply y to both sides

y^n+3 = y^7

Get rid of y

n+3 = 7

n=4

Answer:

Take away 8 from 2 times m

2m - 8

Answer:

C)18

Step-by-step explanation:

5+4=9 9x2=18

18 is your answer.

Answer:

b

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

2x+10

______

2     2

x=5

Answer:

x = 5

Step-by-step explanation:

Step 1: Get the variable alone

Divide x from both sides.

2x + 10

2       2

Step 2: 10 divided by 2

10 divided by 2 equals 5

Answer: x = 5

Answer:

wonderful

Step-by-step explanation:

a5= A1=7 an=2an1

an16

Answer:

38 dimes, 50 quarters

Step-by-step explanation:

Let d = dimes

Let q = quarters

d + q = 88

d = 88 - q

0.10d + 0.25q = 16.30

0.10d + 0.25q = 16.30

0.10(88 - q) + 0.25q = 16.30

8.8 - 0.10q + 0.25q = 16.30

8.8 + 0.15q = 16.30

0.15q = 7.5

q = 50

d = 88 - q

d = 88 - 50

d = 38

Answer:

$70.62

Step-by-step explanation:

110 x 0.6=66

66x0.07 + 66=$70.62

The answer is C.

Can I get brainliest please

Answer:

(-4, 1.6)

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care

Answer:

(p +1) (4p - 5)

Step-by-step explanation:

1.) Look for 2 numbers that subtract and equal to the middle term (-1)

2.) 4 and 5

3.) 4p^2 +4p-5p - 5

4.) Factor out common factors by grouping the equation by two

5.) 4p(p+1) -5(p+1)

6.) group

7.) (4p - 5) (p+1)

Step-by-step explanation:

Michael's Journey Time = 4 hours and 30 mins

=

[tex]4.5hours[/tex]

Speed = Distance ÷ Time

Given Distance = 108km

Time = 4.5 hours

Speed =

[tex] \frac{distance}{time} \\ = \frac{108}{4.5} \\ = 24 \frac{km}{h} [/tex]

My bad the answer is

Answer: 24 kilometers per hour

Answer:

x = 68

Step-by-step explanation:

sum of interior angles of 5-sided figure is 3(180°) or 540°

5x + 200 = 540

5x = 340

x = 68

Answer:

[tex]7^{x}[/tex] or "7 to the power of x"

Step-by-step explanation:

Ok! So an exponential function is a function with a variable as an exponent.

                                         x                             y        

                                         0                             1

                                         1                              7

                                         2                            49

                                         3                           343

                              An example exponential function is [tex]2^{x}[/tex]

Now! Let's look at what number multiplies by each of our "y" values to get the following "y" value. 7!

Now let's see if we can put 7 to the power of x ([tex]7^{x}[/tex]) to get the rest of our table.

                                                       [tex]7^{0}[/tex] = 1

                                                       [tex]7^{1}[/tex] = 7

                                                      [tex]7^{2}[/tex] = 49

                                                      [tex]7^{3}[/tex] = 343

                      Now, we know our exponential function is [tex]7^{x}[/tex]

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

17 cm

Step-by-step explanation:

By Pythagoras Theorem

[tex]k = \sqrt{ {15}^{2} + {8}^{2} } \\ \\ k = \sqrt{ 225+ 64 } \\ \\ k = \sqrt{289} \\ \\ k = 17 \: cm[/tex]

Answer:

Equal

Step-by-step explanation:

The two terms are equal.

When you convert 11 1/3 into an improper fraction, it is 34/3.

Answer:

La respuesta es c

Step-by-step explanation:

Answer:

C) x < 6

Open circle is no line under, closed circle has a line under.

The arrow also goes left so x must be less than 6

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

Answer:

-9, -8, -4, 6, 9

Step-by-step explanation:

negatives are less than positives,

Answer:

Step-by-step explanation:

Answer:

it isn't correct

[tex]x {}^{2} - 6x - 7 = 0 \\ d = 36 + 28 = 64 \\ x1 = \frac{6 - 8}{2} = - 1 \\ x2 = \frac{6 + 8}{2} = 7[/tex]

Answer:

her solution isn't correct .

because she had done a slight mistake in her calculation.

i.e.

[tex]\sqrt{16}=4 \:\:not \:\:16[/tex]

Step-by-step explanation:

solution given:

x²-6x-7=0

making it a perfect square

we must make it on the form of (a+b)²or(a-b)²

so

x²-2*3*x+3²-3²-7=0

(x-3)²-9-7=0

(x-3)²-16=0

adding 16 on both aide

(x-3)²=16

doing square root on both side

[tex]\sqrt{(x-3)²}=\sqrt{16}[/tex]

x-3=±4

taking positive

x-3=4

adding 3 on both side

x=7

and.

taking negative

x-3=-4

adding 3 on both side

x=-4+3

x=-1

x=-1 or 7

number 3

Step-by-step explanation:

Answer:

51 ft

Step-by-step explanation:

a^2 + b^2= c^2

24^2 + 45^2 = c^2

c= 51

Answer:

it is 51 ft for the answer

Answer: First one is J second is B

Step-by-step explanation: