Answer: See explanation
Step-by-step explanation:
a. The amount that the agency make on the house will be 25% of $360,000. This will be:
= 25% × $360,000
= 25/100 × $360,000
= 0.25 × $360,000
= $90,000
b. The amount that the agent earn in commission will be:
= 30% × $90,000
= 30/100 × $90,000
= 0.3 × $90,000
= $27,000
help me plz i dum reeee
Answer:
The mean absolute deviation of the data set is 2.5
Step-by-step explanation:
We need to find mean absolute deviation of the data set:
10,8,10,6,6,2,10,4
First we will find mean of the given data set.
The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]
Sum of all data = 10+8+10+6+6+2+10+4 = 56
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]
Now, we will calculate the absolute difference between mean and each data value.
|10-7| = 3
|8-7| = 1
|10-7| = 3
|6-7| = |-1| = 1
|6-7| = |-1| = 1
|2-7| = |-5| = 5
|10-7| = 3
|4-7| = |-3| = 3
Now, we will find mean of 3,1,3,1,1,5,3,3
Sum of all data = 3+1+3+1+1+5+3+3 = 20
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]
So, the mean absolute deviation of the data set is 2.5
Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.
Answer:
Step-by-step explanation:
ok so do this
9x² + 3x - 8 - (3x² + 8x)
distribute the negative sign
9x² + 3x - 8 - 3x² - 8x
simplify
6x² - 5x - 8
hope this helps <3
how do I solve this question ?
Answer:
x=37 CD=20
Step-by-step explanation:
We know this becuase the two triangles are congruent.
v / -0.8 +14=39 plssss help this is literally so hard
______________________________
1.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]39-14=25[/tex]- We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see.
Equation at the end of Step 1:
[tex]v[/tex] ÷ [tex]-0.8=25[/tex]2.) Multiply both sides by −0.8:[tex]-0.8[/tex] × [tex]-0.8=[/tex] Cancels Out[tex]25[/tex] × [tex]-0.8=-20[/tex]______________________________
PLEASE help mee. Explain and show work plsss.
6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right
Which function shows a fabric with a price of $1.25 per square yard?
Answer:
D
Step-by-step explanation:
Solve the system using substitution.
y=2x−5
y=2x+7
May someone explains and help me with a picture, please.
Answer:
no solutions
Step-by-step explanation:
if y=2x-5
and y=2x+7
2x-5=2x+7
-5 is not equal to 7
Answer:
no solution.
Explaination:
solve for the very first variable in your equation and then you would substitute the result into the other equation. by doing so, you should get no solution.
In which point of the graph is the water increasing?
Answer:
2
Step-by-step explanation:
Calculate the area of the square shown below.
its a square ■ and on the bottom its 3.1 yd what do I do?
Step-by-step explanation:
area of square is a^2
3.1yd^2=9.61yd^2
Answer:
Area = 9.61^2
Step-by-step explanation:
A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet 6 inches. What is the height of the tree?
Answer:
17 feets 3 inches
Step-by-step explanation:
Given :
Converting the parameters to inches only:
Recall:
1 feets = 12 inches
Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches
Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches
Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches
(Tree's height / tree's shadow) = (man's height / man's shadow)
Let tree's height = x
x / 126 = 69 / 42
Solve for x
42x = 126 * 69
42x = 8694
x = 8694 / 42
x = 207 inches
207 / 12 = 17 feets 3 inches
Answer:
17.25 ft
Step-by-step explanation:
The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.
Let h be the height of the tree.
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(10⋅12) in.+6 in.
Simplify.
ZY=126 in.
QR=(3⋅12) in.+6 in.
Simplify.
QR=42 in.
HR=(5⋅12) in.+9 in.
Simplify.
HR=69 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).
ZY/QR = XY/HR
Substitute the values.
126/42=h/69
Cross multiply.
42h=69(126)
Simplify.
42h=8694
Divide both sides by 42.
h=207 in.
Therefore, the height of the tree is 207 in., or 17.25 ft.
What is the 10th term of 300, 150, 75
Answer:
So the pattern is dividing in half
So 300, 150, 75
We have the first 3 terms
The 4th term: 37.5, 18.75,
So we get the 10th term: 0.58
Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27
Answer:
1836 bacteria
Step-by-step explanation:
Now the data is a progression; 38,000, 33,820, 30,100 .........
We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;
r= 33,820/38,000 = 30,100/33,820 = 0.89
So, for a geometric progression;
Un = ar^n-1
Where;
a = 38,000
r = 0.89
n = 27 days
Un = ???
Un = 38,000 * (0.89)^27 - 1
Un = 1836 bacteria
1. The solution to a system of equations is (6,-3). Choose two equations that might
make up the system.
A. y = -2r+6
B. y = 2x - 9
C. y = -5x + 27
D. y = 2x - 15
E. y = -4x + 27
I need to know the graph points and how to graph it ASAP
Answer: for the first one it's the first picture and the second equation is the second picture
Step-by-step explanation: the pictures
the first one's coordinates are : (-0.4, -1)
the second one's coordinates are: (2,-6)
they are both dotted lines
Pls help and show workings
Due ASAP
Answer: B
Step-by-step explanation:
The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]). Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex]. For a line to be perpendicular to another, it must have an opposite reciprocal slope. A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa. Thus, 3/4 would become 4/3. The opposite reciprocal of 3/4 would be -4/3.
The slope of the line given is 3/4. Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex]. Then, because the line passes through -12, 1, plug those values in for x and y, respectively.
[tex]1=-\frac{4}{3}*-12+b[/tex]
[tex]1=16+b[/tex]
[tex]-15=b[/tex]
Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.
Hope it helps :D
Felix bought a new pair of pants for $27.98. If the sales tax is 6%, how much did he spend in total?
Answer:
$29.66
Step-by-step explanation:
6% taxes is 1.68 , 27.98+ 1.68= $29.66
Sales tax:
[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]
[tex]\\ \tt\longmapsto 1.67[/tex]
Total=
27.98+1.67=29.65$..........................................
Hey again!
The answer to your question is 4/3
This is because it is larger than one, so it would make it bigger than the original drawing.
Hope it helps and let me know if there's anything else. Have a great day!
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.
Answer:
Step-by-step explanation:
RS + ST = RT
6y + 3 + 4y + 7 = 60
6y + 4y + 3 + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6*5 + 3 = 30 +3 = 33
ST = 4*5 + 7 = 20 + 7 = 27
Step-by-step explanation:
[Diagram in image attached]
RS + ST = RT
(6y +3) + (4y + 7) = 60
6y + 3 + 4y + 7 = 60
10y + 10 = 60
10y = 60 - 10
10y = 50
y = 50/10
y = 5
RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33
ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27
RT = 60
{RS + ST = RT
33 + 27 = 60}
HOPE THIS HELPS YOU
MARK AS BRAINLIEST
3(2x+5)-x=__x+__
put 2 numbers in the blanks to make no solutions
Answer:
5x + 15
Step-by-step explanation:
3(2x + 5)-x
6x + 15 - x
5x + 15
Hope this Helps!!!
7.0 x 10^3 + 2.0 x 10^2
Answer:
7200
Step-by-step explanation:
Find the exponents first.
10^3 = 1000
10^2 = 100
So..
7 x 1000 + 2 x 100
Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).
7000 + 200 = 7200
Can you help me with question number 10, please?
Answer:
(1) 8.3
Step-by-step explanation:
Answer:
1) 8.3
Step-by-step explanation:
get rid of the (), which u will get 4x-28=0.3x+0.6+2.11
combine like terms, which u will get 4x-28=0.3x+2.71
move variable to one side and numbers to the other, which you will get
3.7x=30.71
divide both sides by 3.7 which u will get 8.3
HELP ASAP
1.Which number or symbol is a variable in the following algebraic expression?
5 + 4y x 32
a 5
b 4
c y
d 2
2.Convert the following word phrase to an algebraic expression:
9 less than a number.
a x - 9
b 9 -x
c 9 ÷ x
d x ÷ 9
Answer: 1.C 2.B
Step-by-step explanation:
please help will give brainly
Graph the system of linear inequalities.
y > x + 2
y ≥ x − 2
Answer:
I hope this helps sorry if I'm wrong
Answer:
y = 1x
Step-by-step explanation:
y
[tex]y \geqslant 1x + 2[/tex]
cancel out the +2 by using the opposite sign and add a 1 in front of the x
You have performed very well on your new job. Without even requesting it your boss gave you a $2.50 raise. If your previous wage was $6.25, what was the percent increase of your raise?
Answer:
40%
Step-by-step explanation:
$6.25/100=0.0625
$2.50/0.0625=40
so your wage increased by 40%
Felix joined a local recreation center to play basketball the recreation center try to a $20 annual fee plus an additional $15 per month for usage of basketball courts feel like pre-pays by writing a check for $185 for how many months did Felix pay
Answer: Felix paid for 11 months.
Step-by-step explanation:
Let x = Number of months
Given: Annual fee = $ 20
charge per month = $15
Total amount = Annual fee + (charge per month) x (number of months)
[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]
Hence, Felix paid for 11 months.
how do i graph the equation y= -4x - 1
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.
For x=0, ...
y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept
For x=1, ...
y = -4·1 -1 = -5 . . . . the point is (1, -5)
The attached graph shows these points and the line through them.
Helpppppp meee please
Answer:
7.25 and 7.20
Step-by-step explanation:
I calculated and got it correct
Answer:
a) $14.45 b) 1.45x+1.2y
Step-by-step explanation:
5*1.45+6*1.2=14.45
A boat is on the same horizontal level as the foot of a cliff and the angle of depression of the boat 30 degree. If the boat is 120m away from the foot of the Cliff, find the height of the Cliff to 3 significant figures
Answer:
69.282 m
Step-by-step explanation:
We can use the trigonometry of right triangles to solve this, since we are in the presence of a right triangle with acute angle 30 degrees, opposite side unknown (the vertical height of the cliff), and adjacent side equal to 120 m.
we use the tangent function to solve for the unknown, as shown below:
tan(30) = x/120
x = 120 * tan(30) = 69.282 m
The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?
Answer:
18 albums
Step-by-step explanation:
2x+3x=45
5x=45
x=9
country=2(9) = 18 album