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:
tomas earning is $176,250
The leg of an isosceles triangle has a length 2x+4 and the base has length 3x. The
perimeter is 141, What is the length of the base?
Answer:
[tex]Base = 57[/tex]
Step-by-step explanation:
Given
[tex]Length = 2x + 4[/tex]
[tex]Base = 3x[/tex]
[tex]Perimeter = 141[/tex]
Required
Determine the length of the base
The perimeter of an isosceles triangle is:
[tex]Perimeter = 2*Length + Base[/tex]
[tex]141 = 2 (2x + 4) + 3x[/tex]
[tex]141 = 4x + 8 + 3x[/tex]
Collect Like Terms
[tex]4x + 3x = 141 - 8[/tex]
[tex]7x = 133[/tex]
Divide both sides by 7
[tex]x = 19[/tex]
To get the base, we substitute 19 for x in [tex]Base = 3x[/tex]
[tex]Base = 3 * 19[/tex]
[tex]Base = 57[/tex]
A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answer:
30 degrees
Step-by-step explanation:
The equations of four lines are given. Identify which lines are parallel. Line 1: y = -7x + 6 Line 2: x + (1/3)y = -6 Line 3: y = -3x - 8 Line 4: y + 7 = (-1/7)(x + 4) please help me
Answer:
Line 2 ║ Line 3
Step-by-step explanation:
y = mx + b
~~~~~~~~~~
Line 1: y = - 7x + 6
Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18
Line 3: y = - 3x - 8
Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]
[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex] ⇒ Line 2 ║ Line 3
Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?
Answer:
Yes , Avery is correct
Step-by-step explanation:
To check if Avery is correct, we need to know the exact value obtained in each of their goals
For Avery’s team;
3/5 * 450 = $270
For Nolan’s team
5/9 * 450 = $250
Since $270 is greater than $250, we can see that Avery’s team collected more money
Write the ratio 150:450 in the form 1:n
Answer:
1 : 3
Step-by-step explanation:
Given
150 : 450 ( divide both parts by 150 )
= 1 : 3
The ratio 150:450 in the form 1:n will be 1 : 3.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given ratio, 150:450
150/450 = 15/45 = 1/3 = 1:3
Hence "The ratio 150:450 in the form 1:n will be 1 : 3".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
Nine times a number, diminished by 4, is 95
Answer:
the number is 11
Step-by-step explanation:
"Diminished" is another word for subtraction, so our equation is : 9x - 4 = 95
Add 4 on each side: 9x = 99
Divide each side by 9: x = 11
I hope this helped, please mark Brainliest, thank you!
Answer:
Step-by-step explanation:
Let a number be X
So
Nine times a number, diminished by 4, is 95
9x-4=95
9x=95+4
9x=99
X=99/9
X=11
So the number is 11
There is a leak in the ceiling due to snow. John is planning to use a bowl
to catch the dripping water.
The number of bowls (y) filled during (x) hours can be represented by the
equation y = 2.5x
1. what is the constant proportionality
2. How long will it take to fill 8 bowls
3. how many bowls fill in 5 hours
HELP PLEASE ILL THANK AND GIVE BRAINLESS
monique gave half of her necklace to her younger sisters. then she bought 4 new ones. if she now has 18, now many did she have originally
Answer:
She originally had 7 necklaces.
Step-by-step explanation:
She now has 18 necklaces. She bought four more. That would be 18 - 4 = 14. She gave half of them to her sisters. 14 divided 2 is 7.
Answer:
i think 28 possibly
Step-by-step explanation:
because she bought 4 new ones so 18-4 =14x2 =28?
i don't know if im right but hopefully this helped
Which statement is correctly written as a conditional statement?
A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.
Answer:
C
Step-by-step explanation:
If a shape has four sides, then it is a quadrilateral.
If a shape has four sides, then it is a quadrilateral so option (C) will be correct.
What is quadrilatereal?A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.
In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.
a quadrilateral is a four-sided polygon, having four edges and four corners
A parallelogram is a basic quadrilateral with two sets of parallel sides.
The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.
A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.
For example, 4 sides are equal so the square is not due to the square all lines will same.
Hence If a shape has four sides, then it is a quadrilateral.
To learn more about quadrilateral,
https://brainly.com/question/13805601
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simplify this expression: 5 + 2b - 2
Answer:
3 + 2b
Step-by-step explanation:
To simplify, you have to combine (add) like terms. The like terms are 5 and -2 because they both do not have a variable.
5 + (-2) = 3
2b stays the same because there are no like terms for it.
3 + 2b
Hope this helped :)
State the class width for the class interval 20-29?
Answer:
9
Step-by-step explanation:
Class width = 29 - 20 = 9
What is the value of 0
Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
2(h + 3.5) = -11 whats h?
Answer: H=-9
Step-by-step explanation:
(2)(h)+(2)(3.5)=−11
=2h+7=−11
=2h+7−7=−11−7
=2h=−18
h=-18/2
h=-9
Answer:
-9 is the answer hope it helps :)
(3а-4)-4
how do you simplify?
Answer:
3a-8
Step-by-step explanation:
(3a-4) -4
= 3a-4-4
= 3a-8
Mr. Ortiz took his friends out to dinner last night and their subtotal was $88.24.
If the sales tax is 5% and if he plans to leave a 20% tip after the tax is added, how much did Mr. Ortiz spend total on dinner?
Answer:
$111.18
Step-by-step explanation:
Dinner is $88.24
Tax is (.05)$88.24 = $4.41
20% after tax added (.20)92.65 = $18.53
total dinner cost is $111.18
help me pleaseee!!!
the correct answer will get brainly!!
This for algebra 1
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?
Answer:
9
Step-by-step explanation:
Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12
Please please please help me I’m stupid Please thank you I would really appreciate it
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
how many whole numbers lie between √ 8 and √ 80
Answer:
There are 5 whole numbers.
Step-by-step explanation:
3,4,5,6,7
Answer:
6Step-by-step explanation:
√ 8 < √ 9 = 3and
√ 80 < √ 81 = 9Whole numbers between √8 and √80 are:
3, 4, 5, 6, 7 and 8 - total 6 numbersThe first time a census was taken in Michele Corners, the population was 1772. Each year after that, the population was about 9% higher than it was the previous year.
Sketch the graph that represents the situation. Let x represent the number of years since the first census was taken.
What are the coordinates of the point that contains the y-intercept?
A. ( 1772, 0)
B. ( 1, 1772)
C. ( 0, 1772)
D. ( 1772, 1)
Answer:
i'm 95% sure that it is D
Step-by-step explanation:
don't be mad if i'm wrong
3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! 15 points! and marked brainliest
Answer:
Step-by-step explanation:
a. a=4
b. a=3
hope this helps
please help me with question 1 please and thanks
Answer:
(1,1) and (7,5) => Slope: 2/3
(1,1) and (5,7) => Slope: 3/2
(2,5) and (-1,2) => Slope:1
(2,5) and (-7,-4) => Slope:1
Step-by-step explanation:
The slope of a line is denoted by m and is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Calculating the slope one by one for each pair.
(1,1) and (7,5):
Let m1 be the slope of this line
Here
(x1,y1) = (1,1)
(x2,y2) = (7,5)
Putting values in formula
[tex]m_1 = \frac{5-1}{7-1}\\= \frac{4}{6}\\=\frac{2}{3}[/tex]
(1,1) and (5,7):
Let m2 be the slope of this line
Here
(x1,y1) = (1,1)
(x2,y2) = (5,7)
Putting values in formula
[tex]m_2 = \frac{7-1}{5-1}\\m_2=\frac{6}{4} = \frac{3}{2}[/tex]
(2,5) and (-1,2):
Let m3 be the slope of this line
Here
(x1,y1) = (2,5)
(x2,y2) = (-1,2)
Putting values in formula
[tex]m_3 = \frac{2-5}{-1-2}\\m_3 = \frac{-3}{-3} = 1[/tex]
(2,5) and (-7,-4):
Let m4 be the slope of this line
Here
(x1,y1) = (2,5)
(x2,y2) = (-7,-4)
Putting values in formula
[tex]m_4 = \frac{-4-5}{-7-2}\\m_4 = \frac{-9}{-9} = 1[/tex]
Hence,
The points and their respective slopes are as follows:
(1,1) and (7,5) => Slope: 2/3
(1,1) and (5,7) => Slope: 3/2
(2,5) and (-1,2) => Slope:1
(2,5) and (-7,-4) => Slope:1
hi can somebody answer this rlly quickly
Answer:
11
Step-by-step explanation:
72/9=8 so 99/9=11
Please Help!!! 50 D).4x + 8y ≥ 50
Answer:
does anyone else miss their best friend ?? :C
Step-by-step explanation:
ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
U okay?
Step-by-step explanation:
plz helpppppppp
two right circular cones have the same radius as 7cm and the sum of their heights is 42cm . then find their total volume.
Answer:
hope it helps..
Step-by-step explanation:
If this helps please comment on my answer...
Answer:
hope it's helps you have a great day keep smiling be happy stay safeGuys plz help Answer this QUESTION!!!
Answer:
I beliEve it is D
Step-by-step explanation:
In a company, 70% of the workers are men. If 1,620 people work for the company who aren't men, how many workers are there in all?
Answer:
2106!
Step-by-step explanation:
1,620 - 70% = 486
486 + 1,620 = 2106
( お力になれて、嬉しいです！)
Answer:
5,400 total workers
Step-by-step explanation:
70% of workers are men, this means that 30% of workers aren't men
This means that 1,620 is 30% of the total workers
To figure out the total workers you do:
30 (percentage that represents the value)/100 = 1,620 (value) / x (total workers)
You then cross-multiply the equation by multiple the numbers diagonal each other:
30/100
=1,620/x
So, 30x = 162,000
You then isolate the variable
30x/30 = 162,000/30
x = 5,400
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]
By substituting the measures of the given sides,
[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
The product of a number and -5 is at least 35. Write as an inequality.
Product hints at multiplication so -5n is AT LEAST meaning that it is at or greater than 35....
-5n ≥ 35
Answer:
-5x≥35
Step-by-step explanation:
The word "product" means to multiply so I know that -5 times a number x is at least 35. The phrase "at least" means greater than or equal to so I know its a ≥ sign.
Hope this helps you