Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas sold properties that totaled $3.75 million in sales during one year, what are Tomas’s earnings for that year?​

Answer:

Step-by-step explanation:

If Daniela has 2 1/4 basketball games left to play in a tournament, and she has 3/4 gallon of water left to drink, since she drinks the same amount in each game, we can say;

2 1/4 games = 3/4 gallons

To calculate how much he has to drink in a game, this can be expressed as;

1 game = x gallon

Solve for x;

2 1/4 games = 3/4 gallons

1 game = x gallon

Cross multiply

3/4 = 2 1/4x

3/4 = 9/4 x

9x/4 = 3/4

cross multiply;

9x * 4 = 4*3

36x = 12

x = 12/36

x = 1/3

Hence she can drink 1/3 gallons of water in each game.

Answer:

[tex]-\frac{3}{2} <x<1[/tex]

Step-by-step explanation:

[tex]2x^{2} +3x-2x-3<0[/tex]

[tex]x(2x+3)-(2x+3)<0\\(2x+3)(x-1)<0\\When 2x+3=0 or x-1=0 \\x= -\frac{3}{2},1[/tex]

[tex]x<-\frac{3}{2} \\-\frac{3}{2} <x<1\\x<1[/tex]

Answer:

7. <35

8.<5

9.>50

Step-by-step explanation:

simple mathematics

Answer:

52 minutes

Step-by-step explanation:

Equation:

[tex]728+23x=0+37x\\728+23x=37x\\728=14x\\x=52[/tex]

So 52 minutes.

Hope this helps plz hit the crown :D

Answer:

Answer:

1.11111=111111100000

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

1.11111=1.111111

Multiply to remove 5 decimal places. Here, you multiply top and bottom by 105 = 100000

1.111111×100000100000=111111100000

Simplify the improper fraction,

=111111100000

In conclusion,

1.11111=111111100000

Step-by-step explanation:

The fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.

To express the decimal 1.11111 as a fraction, we can use algebraic manipulation. Let's denote the repeating decimal as x:

x = 1.11111...

To eliminate the repeating part, we can multiply x by 10:

10x = 11.11111...

Now, we can subtract the original equation from the multiplied equation to eliminate the repeating part:

10x - x = 11.11111... - 1.11111...

Simplifying the equation:

9x = 10

Dividing both sides by 9:

x = 10/9

Therefore, the fraction equivalent of the repeating decimal 1.11111 is 10/9. This means that 1.11111 is equivalent to 10/9, indicating a ratio of 10 parts to 9 parts. Simplifying the fraction ensures that it is in its simplest form with no common factors between the numerator and the denominator other than 1.

For more details of fraction equivalent of the repeating decimal:

https://brainly.com/question/19473335

#SPJ6

Answer:

Step-by-step explanation:

Answer:

Forty-two (42) of the trees were too small.

Step-by-step explanation:

Find 7/8 of 48.

[tex]\frac{7}{8}[/tex] = 0.875

Multiply the quotient (0.875) by 48 to find [tex]\frac{7}{8}[/tex] of 48.

0.875 × 48 = 42

Answer:

2.6?:))))

......

Answer:

1 ounce is .549 cents

Step-by-step explanation:

Answer:

The unit rate per ounce is $0.55.

Step-by-step explanation:

A. Use the law of cosines:

29² = 34² + c ² - 2•34•c cos(30.3°)

Use a calculator to solve for c ; notice this equation is quadratic, you get two possible solutions, c ≈ 5.973 ≈ 6 or c ≈ 52.738 ≈ 53.

Then use the law of sines to solve for the two possibles measures of angle C :

sin(30.3°)/29 = sin(C )/c

sin(C ) = c sin(30.3°)/29

sin(C ) ≈ 0.1039   or   sin(C ) ≈ 0.9175

C ≈ 6.0°   or   C ≈ 66.6°

The interior angles of any triangle sum to 180°, so the remaining angle has measure either

B = 180° - 30.3° - C

B ≈ 143.7°   or   B ≈ 83.1°

So to recap,

B ≈ 143.7°, C ≈ 6.0°, c ≈ 6

and

B ≈ 83.1°, C ≈ 66.6°, c ≈ 53

Answer:

7.6

Step-by-step explanation:

Complete Question

It is known that a particular laboratory task takes the average person 2.5 seconds (the variance is not known). A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their mean time was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude? (Use the .05 significance level and use the five steps of hypothesis testing.)

Answer:

The researchers  conclusion is  

   There is no sufficient evidence to show that  older people are slower at the laboratory task    

Step-by-step explanation:

From the question we are told that

   The mean time is  [tex]\mu = 2.5 \ seconds[/tex]

    The sample size is  n  =  30

    The  sample mean is  [tex]\= x = 2.7 \ seconds[/tex]

      The  standard deviation is  [tex]\sigma = 1.4 \ seconds[/tex]

      The level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \mu = 2.5[/tex]

The alternative hypothesis is  [tex]H_a : \mu > 2.5[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>  [tex]z = \frac{2.7 - 3 }{ \frac{1.4}{\sqrt{30} } }[/tex]

=>  [tex]z =0.78[/tex]

From the z table  the area under the normal curve to the right  corresponding to  [tex]z =0.78[/tex]   is  

        [tex]p-value = P(Z > 0.78) = 0.2177[/tex]

From the value obtained we see that the p-value  > [tex]\alpha[/tex]

   The decision rule is  

Fail to reject the null hypothesis

    The conclusion is  

There is no sufficient evidence to show that the older people are slower at the laboratory task  

Answer:

9.5

Step-by-step explanation:

Answer:

"Some irrational numbers are whole numbers" False

"All rational numbers are integers" False

"All integers are whole numbers" False

"No integers are irrational numbers" True

Step-by-step explanation:

I'm 100% sure of this

Answer:

o.6

Step-by-step explanation:

I think sorry if wrong

Answer:

x = 20°

y = 19°

Step-by-step explanation:

The first two angles that are in the 2nd Quadrant:

2x - 3

3x - 7

The rule states that the two angles are complimentary angles that form an angle of 90°. So,

(2x - 3) + (3x - 7) = 90

2x - 3 + 3x - 7 = 90

2x + 3x - 3 - 7 = 90

5x - 10 = 90

5x = 90 + 10

5x = 100

x = 100 ÷ 5

x = 20

Another rule applies here, vertical angles are equivalent to each other.

So,

2x - 3 = 2y - 1

2(20) - 3 = 2y - 1

40 - 3 = 2y - 1

37 = 2y - 1

37 + 1 = 2y

38 = 2y

38 ÷ 2 = y

19 = y

Answer:

3+12=15

Step-by-step explanation:

15-12= 3

3+12=15

Answer:

y = 3/4x + 12

Step-by-step explanation:

let equation of the line be y = 3/4x + b

sub (-8, 6):

6 = 3/4(-8) + b

12 = b

therefore equation of the line is y = 3/4x + 12

Topic: Coordinate Geometry

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:

[tex]\frac{3}{4}x-y+12=0[/tex]

Step-by-step explanation:

We need to find equation of line that passes through the point (-8,6) and has a slope of 3/4 in general form.

The general form of linear equation is [tex]Ax+By+C=0[/tex]

First we will use slope-intercept form i.e, [tex]y=mx+b[/tex] to find equation and then write it in general form.

Where m is slope and b is y-intercept.

We are given slope = 3/4 but y-intercept is not given and we need to find.

Finding y-intercept

Using the point (-8,6) and slope m = 3/4 we can find y-intercept

[tex]y=mx+b\\6=\frac{3}{4}(-8)+b\\6=3(-2)+b\\6=-6+b\\b=6+6\\b=12[/tex]

So, y-intercept b is 12

Equation of line

The line has slope m=3/4 and y-intercept b is 12, the equation is:

[tex]y=mx+b\\y=\frac{3}{4}x+12[/tex]

General Form of Equation of a line that passes through the point (-8,6) and has a slope of 3/4 is:

[tex]\frac{3}{4}x-y+12=0[/tex]

Answer:

B

C and D are already out of the picture since we know lightning is not just light.

Answer:

Build up of electric charges in the clouds (A)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1/2=.5 and .5x10=5, 5+3=8 so that proves it is correct.

Answer:

quadrant 1

hope this helps

Answer:

[tex]m=\frac{-5}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points on the graph.

Point (-4, 4)

Point (2, -1)

Step 2: Find slope m

And we have our answer!

Answer:

-239

Step-by-step explanation:

-3(8) 2-6(8)+1

-192-48+1

-240+1

=-239

Answer:

-239

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rate in this case is slope of the line. The formula of a slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]  

(10, 325)

(4, 130)

m = [tex]\frac{325-130}{10-4}[/tex] = [tex]\frac{195}{6}[/tex] = 32.5 miles per gallon

The actual rate is less (better) than advertising.

Answer:

TRUE

Step-by-step explanation:

i just know it :>

Answer:

zero

Step-by-step explanation:

Answer:

2 its given that cd bisects ab at e so that means e is midpoint of ab

3. vertically opposite angles

4.By SAS congruence

Answer:

1% of 12,348,000 = 123,480

50% of 123,480 = 61,740 people have died