According to the word problem question;
If the salesperson earns 9 percent commission on sales;
In essence, 9/100 of the sales proceedings belongs to the salesperson.
Mathematically; the equation for the amount he or she earns in commission is;
c = 0.09swhere; c = commission and s = amount sold.Consequently, if the amount sold is $6,000;
The amount he or she earns in commission is;
c = 0.09 × $6,000c = $540.
The answer in ordered pair form is therefore;
(s,c) = ($6000, $540)
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Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?
Question options:
2 units
12 units
4 units
6 units
The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
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what is the difference between a categorical and continuous variable?
Define the following terms and give an example of each. 1) Exponent 2) Base 3) Power 5) Expanded form 6) Standard form 4) Exponential form plzzzzzzz help me plzz
Answer:
Exponent - "a quantity representing the power to which a given number or expression is to be raised"
Base - "The number that gets multiplied when using exponents"
Power - "The number of times you use the number in multiplication"
Expanded Form - "A way to write a number by adding the value of its digits"
Standard form - "A way of writing down very large or very small numbers easily."
Exponential form - "a shortcut way of writing repeated multiplication involving base and exponents"
A marathon runner ran the first 5 miles in 32.5 min. If she
continues running at this pace, how long will it take her to run
The entire marathon of 26.2
miles?
Answer:
It will take her 170.3 minutes to run the entire marathon
Step-by-step explanation:
Use dimensional analysis, the miles will cancel out.
[tex]\frac{26.2 mi}{1}[/tex] × [tex]\frac{32.5 min}{5 mi}[/tex] = [tex]\frac{26.2(32.5)}{5}[/tex]min = 170.3 min
a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?
Answer:
5120 tiles.
Step-by-step explanation:
Do one thing.
Find out the area of the rectangular hall.
Find out the area of the marble slab.
Remember, the units are to be made same.
Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.
Calculations-
Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.
Area of one marble tile = 25 x 15 = 375 sq. cm.
Now you divide the numbers and get 5120 tiles.
Need help ASAP! Directions in picture;)
Answer:
it is 8
Step-by-step explanation:
using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)
Step-by-step explanation:
the intersection of the interval: (-∞, 7) and [-5, +∞)
is [-5, 7)
and the union of the interval: (-∞, 7) and [-5, +∞)
is (-oo, +oo)
3/2(4x – 1) – 3x = 5/4 – (x + 2)
Someone help plz make sure it’s right and will make brainiest:)
The correct answer is y = -x + 3.
Good luck :) !
Can anyone help me with this question? please :)
true or false, two figures are mathematically similar if the angles change by the same scale factor.
Answer:
true
Step-by-step explanation:
when a figure is changed by a scale factor, it is similar. The angles and shape stay the same, but the size changes.
-3b+7b+5= -19
I believe the answer is -6
Answer:
B = -6
Step-by-step explanation:
so yes, you're correct.
the population of london city is 11400. write this in scientific notation
Answer:
1.14 x 10x4
Step-by-step explanation:
thats is correct i just did the test
what is the slope of the number set of 4,1 and 4,8?
Answer:
The entered points belong to a vertical line. There is no slope.
Step-by-step explanation:
I can’t seem to find the right answer no matter what I try
Hello! Please help!!
Answer:
3 x 6 = 18
Step-by-step explanation:
think it's right. that jump from 6 to 3 might be cause of my downfall.
Answer:
18!
Step-by-step explanation:
Its going down by 1 number, 9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 48
3 x 6 = 18
Who was in Paris ???? ?
Who?
Answer:
N.ice I.ndividual G.iven G.ood A.spects S.eriously was in paris
Step-by-step explanation:
Answer:
the French
Step-by-step explanation:
Donna is collecting stamps. On the first day, she collects 5. On the second day, she collects 9. Each day, she collects 4 more stamps than the day before. How many total stamps will she have after 20 days?
Answer:
81 stamps
Step-by-step explanation:
Here we will use the AP formula
We know that
a_n = a + (n - 1)d
a = first term = 5
n = number of terms = 20
d = common difference = 9 - 5 = 4
On putting values
=> a_20 = 5 + (20 - 1)4
=> a_20 = 5 + (19)4
=> a_20 = 5 + 76
=> a_20 = 81
Therefore,
She will have 81 stamps after 20 days
[tex]\huge{\purple{\underline{\underline{\sf{\pink{ANSWER:-}}}}}}[/tex]
Here we have,
first term (a) = 5no. of terms (n) = 20 common difference (d) = 9 - 5 = 4[tex]\implies\tt{a_n = a + (n - 1) \times d} \\ \\ \implies\tt{a_20 = 5 + (20 - 1) \times 4} \\ \\ \implies\tt{a_20 = 5 + 19 \times 4} \\ \\ \implies\tt{a_20 = 5 + 76} \\ \\ \implies\tt{a_20 = 81}[/tex]
Hence, there will be 81 stamps after 20 days.Plsss help answer the question don’t just get the points and not answer my question Plss I’m struggling
Answer:
This is cheating
Step-by-step explanation:
First you follow what your teachers tell you to do and listen
Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +6
1. 11 to the power of 16 x 11 to the power of 1=
2. a to the power of 6 x a to the power of 8 =
3. (-2) to the power of 12 x (-2) to the power of 1=
4. 1.1 to the power of 7 x 1.1 to the power of 9 =
5. 3 to the power of 4 x 5 to the power of 2 =
Step-by-step explanation:
1. 11 to the power of 16 x 11 to the power of 1
[tex]11^{16}*11^1=11^{16+1}=11^{17[/tex]2. a to the power of 6 x a to the power of 8
[tex]a^6*a^8=a^{6+8}=a^{14}[/tex]3. (-2) to the power of 12 x (-2) to the power of 1
[tex](-2)^{12}*(-2)^1=(-2)^{12+1}=(-2)^{13}[/tex]4. 1.1 to the power of 7 x 1.1 to the power of 9
[tex]1.1^7*1.1^9=1.1^{7+9}=1.1^{16}[/tex]5. 3 to the power of 4 x 5 to the power of 2
Assumed it is both 3 or 5, we take 3
[tex]3^4*3^2=3^{4+2}=3^6[/tex]you are driving to a friends house at 35 miles per hour and the friend lives 21 miles away. how long to get to the house
Answer:
35miles/1 hr=21miles/x hr
= x hr* 35miles/1 hr= 21 miles
= x = 21/35 =0.6 hr
So, traveling at 35mph it will take 0.6 hours to travel 21 miles.
If you want time in mins then keep going:
=> 60 mins = 1 hour, 0.6 hours = x mins
60mins/1 hr = x mins/ 0.6 hr
0.6 * 60 mins = 36 mins.
:. It takes 0.6 hrs or 36 mins to drive 21 miles at a constant speed of 35mph
Step-by-step explanation:
On Tuesday at lunchtime, it was -10°C. By sunset, the
temperature had dropped 14°C.
Answer:
By sunset the temperature was -24
Step-by-step explanation:
The reason for this is you start off with -10, then the word dropping relates to subtraction, meaning that the equation is -10-14, and when you subtract a negative, you are actually adding to it, so you can drop the negative for now, and you have 10+14 which equals 24, then add the sign back in to get -24C.
Hope This Helps. I would know, figuring I am in High School Statistics.hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
C) 1 ¼
Step-by-step explanation:
.25 = ⁴/⁴ ÷ .25 = ¼
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Answer:
The choice C)
[tex]1 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]1.25 = \frac{5}{4} = 1 \frac{1}{4} [/tex]
I hope I helped you^_^
cos^8a+sin^8a=1-sin^22a+1/8sin^4a
cos⁸A+sin⁸A = (Cos⁴A)² + (Sin⁴A)²
=> (Cos⁴A + Sin⁴A)² - 2Cos⁴ASin⁴A
=> [(Cos²A)²+(Sin²A)²]² - 2(CosASinA)⁴
=> [(Cos²A+Sin²A)² - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2Cos²ASin²A]² - 2(CosASinA)⁴
=> [1 - 2(CosASinA)²]² - 2(CosASinA)⁴
//Remember: Sin2A = 2SinA CosA => SinACosA = 1/2Sin2A
=> [1 - 2(1/2Sin2A)²]²- 2(1/2Sin2A)⁴
=> [1 - 1/2Sin²2A]² - 1/8Sin⁴2A
=> 1 + 1/4Sin⁴2A - Sin²2A - 1/8Sin⁴2A
=> 1 - Sin²2A + 1/8Sin⁴2A
=> R.H.S
HELP ME!!
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answer: 8
Step-by-step explanation:
He made 3 a day so 3x8 is 24
The temperatures for the week were as follows Sunday 72 Monday 72 Tuesday 85 Wednesday 69 Thursday 72 Friday 80 and Saturday 77 determine the mean rounded to the nearest tenth median mode and range of the results
Answer:
Mean- 75.3
Median- 72
Mode- 72
Range- 77
Step-by-step explanation:
Find the measure of each angle indicated.
A D
A) 21°
C) 23°
E 25°
B) 80°
D) 20°
Let the missing Angle be " x "
We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,
that is :
x + 80° = 100°x = 100° - 80° x = 20°value of missing angle = 20°
Determine the value of y
Answer:
C
Step-by-step explanation:
Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].
So, [tex]y+134=180[/tex].
We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].
So, the answer is [tex]\boxed{C}[/tex] and we're done!
The distance a car can travel varies directly with the amount of gas in the tank. The car can travel 135 miles with 5 gallons of gas. How many miles can the car travel with 8 gallons of gas? and The value of y varies directly with x. When y=6, x=½. What is the value of x when y=312? please help me.
Answer:
216
Step-by-step explanation:
135/5=27
27*8=216
HELP PLEASE ASAP HELP!!!!!!!!!!
AWARD: 100 POINTS GIVEN!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answer:
She made 138, 179 two point field goals and 118
3-point field goals during the regular season
Step-by-step explanation:
Answer:
118, 138, and 179 points
Step-by-step explanation:
x = 3-point goals
2-point goals = 2x - 57
free throws = 2x - 57 - 41
3x + 2x * (2x - 57) + (2x - 57 - 41) = 850
3x + 4x - 114 + 2x - 98 = 850
9x = 1062
x = 118
2x - 57 = 2 * 118 - 57 = 179
2x - 57 - 41 = 138