The commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960
How to solve for the commissionGiven that the commission rate is 6%
If the sales done is 33000 dollars then the commission received by the agent would be:
33000 * 0.06 = 1980
Now if the sale doubles we would have 33000 x 2
= 66000 dollars
then the commission received would be
66000 x 0.06
= $3960
Hence we would say that the commission for the sale of $33000 worth of items at 6 percent is $1980 and if the sale doubles than the commission would be $3960
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Which expression is equal to (-3- i)+ (5 +6i)?
A.2 +5i
B. -7
C.-4+11i
D.77
Answer:
A
Step-by-step explanation:
[tex](-3-i)+(5+6i) \\ \\ =-3-i+5+6i \\ \\ =2+5i[/tex]
2. Gwen uses 3 teaspoons of sweetener for every 5 cups of iced tea. How many teaspoons of sweetener should she
add to 30 cups of iced tea if she wants the same flavor?
A. 9
B. 18
C. 28
D. 50
Answer:
B: 18
Step-by-step explanation:
3 t for every 5 c
30/5 = 6, 6 groups of 5
6 x 3 (3 for every 5 cups, but x by the 6 groups)
6 x 3 = 18.
Find the equation of the line through (7,−2) which is parallel to the line y=−x−4.
Give your answer in the form y=mx+b.
Answer:
y = -x + 5
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the line we need to find is -1. Substituting into point-slope form, we get the equation to be
[tex]y+2=-(x-7)[/tex]
which rearranges into slope-intercept form as follows:
[tex]y+2=-x+7 \\ \\ y=-x+5[/tex]
Answer:
y=-x+5
Step-by-step explanation:
Select all equations that are equivalent to -8x - 6 15. 2 - (Select all that apply.) 4x+3= 15 -4x-3=15 8x+6=30 (-4x - 3) = 15 — − ½ ( 8x + 6) = 15 -
what is the actual awnser to find the length x 14cm and 7 cm
Hi could u ask the question a bit clearer?
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Answer:between 28000 km and 32000 km
Step-by-step explanation:
From the sample space S = {1, 2, 3, 4,.... 15) a single number is to be selected at random. Given the following events, find the indicated probability.
A: The selected number is even.
B: The selected number is a multiple of 4.
C: The selected number is a prime number.
P(CIA)
The probability that the selected number is even is 7/15.
The probability that the selected number is a multiple of 4 is 1/5.
The probability that the selected number is a prime number is 2/5.
How to illustrate the information?Based on the information illustrated, the following can be deduced:
Even numbers = 2, 4, 6, 8, 10, 12, 14.
Multiple of 4 = 4, 8 and 12.
Prime numbers = 2, 3, 5, 7, 11, and 13.
Therefore, the probability that the selected number is even will be:
= 7/15.
The probability that the selected number is a multiple of 4 is:
= 3/15 = 1/5.
The probability that the selected number is a prime number is:
= 6 / 15
= 2/5.
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Perimeter of the computer chip. Length 7.18×10⁻⁷ meters, width 3.4×10⁻⁹ meters
Perimeter of computer chip = 14.428 * ( [tex]10^{-7}[/tex] ) meters .
Given : length = 7.18×10⁻⁷ meters
breadth = 3.4×10⁻⁹ meters
To find = perimeter of computer chip
Formula for perimeter of a rectangle :
Perimeter = 2 ( length + breadth )
Calculations :
Perimeter = 2 [ ( 7.18×10⁻⁷ ) + ( 3.4×10⁻⁹ ) ]
On simplifying ,
= 2 [ [tex]10^{-7}[/tex] ( 7.18 + 0.034 )
= 2 [ [tex]10^{-7}[/tex] ( 7.214 ) ]
= 14.428 * ( [tex]10^{-7}[/tex] ) meters
Hence , perimeter = 14.428 * ( [tex]10^{-7}[/tex] ) meters .
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How to find the slope intercept form for the equation of the line through (5,1) and (3,-7)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{-7 -1}{3 -5} \implies \cfrac{ -8 }{ -2 }\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{4}(x-\stackrel{x_1}{5})[/tex]
[tex]y-1=4x-20\implies y=4x-19\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Drag the numbers below to put them in order from least to greatest: 1.393 1.3 1.43 1.47 1.301 1.45
The order of the number from least to greatest is 1.30, 1.301, 1393, 1.43, 1.45, 1.47.
What is the order of the numbers?
Decimal is used to denote integers and non-integers. The integers are separated by non-integers using a decimal point. An example of a decimal is 1.393.
The place value of 1.393 is
1 - unit value 3 = tenth value 9 = hundredth value 3 = thousandth valueThe further away a number is from zero on the number line, the higher the value of the number.
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Solve the equation 3y + 17 = −2y + 25 for y
Answer:
y = 8/5
Terms:
3y, -2y, y
Leading term:
3y
Step-by-step explanation:
Subtract by 17 from all sides
[tex]3y+17-17=-2y+25-17[/tex]
Simplify
[tex]3y=-2y+8[/tex]
Add term 2y
[tex]3y+2y=-2y+8+2y[/tex]
Simplify further
[tex]3y + 2y = 5y\\= 5y\\5y = 8[/tex]
Divide all sides by 5
[tex]\frac{5y}{5}=\frac{8}{5}[/tex]
Cancel the current leading term, 5y, simplify one last time
[tex]y=\frac{8}{5}[/tex]
Answer:
y = [tex]\frac{8}{5}[/tex] or [tex]1\frac{3}{5}[/tex] or [tex]1.6[/tex] ✅
Step-by-step explanation:
[tex]3y+17=-2y+25[/tex]
⬆️
Move the variable to the left-hand side and change its sign
⬇️
[tex]3y+17+2y=25[/tex]
⬆️
Move the constant to the right-hand side and change its sign
⬇️
[tex]3y+2y=25-17[/tex]
⬆️
Collect like terms
⬇️
[tex]5y=25-17[/tex]
⬆️
Subtract the numbers
⬇️
[tex]5y=8[/tex]
⬆️
Divide both sides of the equation by 5
⬇️
[tex]\frac{5y}{5} =\frac{8}{5}[/tex]
⬇️
Solution
[tex]y=\frac{8}{5}[/tex] ✅
Alternative form
[tex]y=1\frac{3}{5} , y=1.6[/tex] ✅
I hope this was helpful!
Have a blessed day! (✿◠‿◠)
For the linear function f (x) = mx + b, f (-3) = 23 and f (2) = -7.
Find m and b.
Answer:
b = 8 , m = - 5
Step-by-step explanation:
For this question we can use simulteanous equations to solve for m and b.
We first come up with 2 equations.
Given the first condition:
23 = -3m + b
b - 3m = 23 (Equation 1)
Now the Second Condition:
-7 = 2m + b
b + 2m = -7 (Equation 2)
Now, we will use Equation 1 - Equation 2 to eliminate b to solve for m.
-3m - (+2m) = 23 - ( - 7)
- 5m = 30
m = 30 ÷ -6 = -5
Now we substitute m into Equation 1 to solve for b.
b - 3(- 5) = 23
b + 15 = 23
b = 23 - 15 = 8
Answer: m=-6 b=5
Step-by-step explanation:
f(x)=mx+b
f(-3)=23 f(2)=7
[tex]\displaystyle\\\left \{ {{23=(m)(-3)+b} \atop {-7=(m)(2)+b}} \right. \ \ \ \ \left \{ {{23=-3m+b\ \ \ \ (1)} \atop {-7=2m+b\ \ \ \ (2)}} \right.[/tex]
Subtract equation (2) from equation (1):
-30=5m
Divide both parts of the equation by 5:
-6=m
Thus, substitute m=-6 in (2):
-7=(-6)(2)+b
-7=-12+b
-7+12=-12+b+12
5=b
Hence,
y=-6x+5
Match each number to a point on the number line.
Answer:
I dont understand it bc the pic is blurry
Step-by-step explanation:
Please mark Branliest
After a storm, Michael measured 6 inches of
snow. What is this amount as a decimal?
Answer:
0.5 feet of snow
Step-by-step explanation:
6 inches is half of a foot because 1 foot = 12 inches.
6 inches / (12 inches / 1 foot) = 0.5 feet of snow
. Jason pays $3.60 for 2 bottles of
water. What is the unit price of each bottle?
In a particular class of 26 students , 13 are men. What fraction of the students in the class are women?
Answer:
1/2
Step-by-step explanation:
Since 13+13= 26 we know that 13 or 1/2 are girls
Can’t figure it out I need help on how to do this
Answer: 11
Step-by-step explanation:
the answer is 11 all it is asking for is finding the mode which simply means the highest group of repeated numbers
The mode of the frequency distribution based on the table is age 11 with 12 students.
What is the mode?Mode can be defined as the most occurring value in a statistical distribution. It is also the most repeated number.
According to the table given;
Age 9 = 3 students
Age 10 = 10 students
Age 11 = 12 students
Age 12 = 1 students
Based on this information, the age with the most number of students is age 11.
Therefore, the mode is 11
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A cube-shaped shed has 6-foot high walls. If all the shed's walls are painted (not including the floor or ceiling), how much area will be painted?
The area that would be painted will be 144 square feet
Calculating surface areaFrom the question, we are to determine the area of the cube-shaped shed that was painted
From the given information,
The cube-shaped shed has 6-foot high walls
From the formula for the surface area of a cube,
Surface area = 6s²
Where s is the measurement of a side
A cube has six sides
Since, the floor and ceiling are not painted,
The area of the shed that was painted will be
Surface area painted = 4s²
s = 6 feet
Thus,
Surface area painted = 4 × 6²
Surface area painted = 4 × 36
Surface area painted = 144 square feet
Hence, the area that would be painted will be 144 square feet
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A figure is transformed by T(x, y) = (x+3, y-1) and then transformed by S(x-3, y + 1). How does the preimage relate to the final image? please show work sorry
Answer: The preimage and final image are the same point
This applies to every point in the xy plane.
======================================================
Explanation:
Let's say we started with the example point of (5,7)
Put the coordinates of the point into the T(x,y) transformation
We'll replace every x with 5 and every y with 7
So,
T(x, y) = (x+3, y-1)
T(5, 7) = (5+3, 7-1)
T(5,7) = (8, 6)
What does this mean? It means that the original preimage point (5,7) moves to (8,6). This is a shift of 3 units right and 1 unit down.
------------------
Now we'll plug the coordinates of that result, the (8,6), into the transformation of S(x, y) = (x-3, y + 1)
Plug in x = 8 and y = 6 to get...
S(x, y) = (x-3, y + 1)
S(8, 6) = (8-3, 6 + 1)
S(8, 6) = (5, 7)
We have gone from (8,6) to (5,7). We're back where we started.
The second transformation of (x-3, y+1) shifts 3 units left and 1 unit up. Notice both of these undo the original "3 units right and 1 unit down" from earlier. So this is why we get back to the starting point. It's not a coincidence.
Therefore, transformation T and transformation S are inverse transformations of one another. They undo each other. It's like taking a step forward (transformation T) and then taking a step back (transformation S)
In terms of algebra, it's like how multiplication and division are inverses of each other.
As you can probably guess, there's nothing particularly special about (5,7). I chose two random numbers. Pick whatever two favorite numbers you want for x and y. Plug them into T(x,y) and then whatever that result is, plug it into S(x,y) to notice you should get back to your original choice of (x,y). I recommend GeoGebra as a useful tool to help with geometric transformations.
Four friends went scuba diving today. Ali dove 70 feet, Tim went down 50 feet, Carl dove 65 feet, and Brenda reached 48 feet below sea level. Write the 4 friends’ names in order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface.
The orders from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:
Brenda < Tim < Carlton < Ali
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order. For example, a set of natural numbers are in ascending order, such as 1, 2, 3, 4, 5, 6, 7, 8… and so on.
If the information is sorted from highest to lowest, it is said to be in descending order. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are arranged in descending order. In other words, if the numbers are arranged from the largest to the smallest number, it is said to be in descending order.
We can write, four friends went scuba diving today,
Ali dove = 70 feet,
Tim went down = 50 feet,
Carl dove = 65 feet,
Brenda reach = 48 feet below sea level.
To determine the order from the person whose death was closest to the surface to the person whose death was the farthest from the surface.
Arrange in ascending order of distance from sea level.
Brenda < Tim < Carlton < Ali
48feet < 50 feet < 65 feet < 70 feet
Therefore,
The order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:
Brenda < Tim < Carlton < Ali.
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Needed help asap please and thank you so much !
Step-by-step explanation:
based on the story told I expected completely different questions.
but for the actually asked question the whole thing about gaining our not gaining weight is competent irrelevant. ignore it.
so, all we need to do is looking at the row totals.
27.4% of the participants took 1 vitamin.
49.5% of the participants took more than 1 vitamin.
so, 49.5% + 27.4% = 76.9% of all participants are taking vitamins in some form.
therefore, the second answer option is correct.
Drag the tiles to the boxes to form correct pairs.
Multiply the pairs of numbers, and match them with their products.
The expressions matched with their correct pairs is
(-8)(-2.2) → 17.6
(-3.4)(5) → -17
(-9.5)(-2) → 19
(3.8)(-5) → -19
From the question, we are to match the tiles to the boxes to form correct pairs
To do this, we will simplify the expressions
(-8)(-2.2)Multiplying
-8 × -2.2
= 17.6
(-3.4)(5)Multiplying
-3.4 × 5
= -17
(-9.5)(-2)Multiplying
-9.5 × -2
= 19
(3.8)(-5)Multiplying
3.8 × -5
= -19
Hence, the expressions matched with their correct pairs is
(-8)(-2.2) → 17.6
(-3.4)(5) → -17
(-9.5)(-2) → 19
(3.8)(-5) → -19
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evaluate this please
Answer:
32⅘
(using indices)
32 = 2⁵
= 2⁵ × 1⅘
= 2²⁰
⁵
= 2⁴ = 16
I need help with this algebra problem
The mean of all ninth grader's scores in the city is 80.32
Calculating meanFrom the question, we are to determine the mean score for all ninth graders in the city
From the given information,
Mariner High school
Mean score is 75 and the frequency is 265
Everett High school
Mean score is 90 and the frequency is 326
Jackson High school
Mean score is 69 and the frequency is 154
Thus,
The mean score for all ninth graders
= (265×75 + 326×90 + 154×69)/ (265 + 326 + 154)
= (19875 + 29340 + 10626)/745
= 59841/745
= 80.32
Hence, the mean is 80.32
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5:2:11=x:6:y
(that ratio btw)
Answer:
9=11
Step-by-step explanation:
For a recent year, 34 more Democrats than Republicans represented a country. If the total number of representatives of the country from these two parties was 484, find the number of representatives from each party.
In linear equation the number of Republicans are 225 and the number of Democrats are 259 .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let Republicans = x
then Democrats = x + 34
x + x + 34 = 484
2x + 34 = 484
2x = 484 - 34
2x = 450
x = 450/2
x = 225
x + 34 = 225 + 34 ⇒ 259
Therefore ,the number of Republicans are 225 and the number of Democrats are 259 .
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Leila got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13 cents per yard. If after that purchase there was $8.63 left on the card, how many yards of ribbon did Leila buy?
_____yards
If 13 cents per yard is the price, and there was $8.63 left on the card, the yards of ribbon Leila bought is 49 yards of ribbon.
How to solve for the amountTo determine the number of yards of ribbon Leila bought, we need to calculate the difference between the initial balance on the prepaid debit card and the remaining balance after the purchase.
Initial balance: $15.00
Remaining balance: $8.63
The difference between these two amounts represents the amount spent on the ribbon:
$15.00 - $8.63 = $6.37
Now, we can calculate the number of yards of ribbon by dividing the amount spent by the price per yard:
$6.37 / $0.13 = 49
Therefore, Leila bought 49 yards of ribbon.
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If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?
Based on the transformaion of point A, the coordinate of the point she would end up is (3, -4)
How to determine the point she would end up?The complete question is added at the end of this solution
From the question, we have the following point
Starting point = (-3, 5)
The movement is given as
9 units down and 6 units to the right
The above can be represented mathematically as
(x, y) = (x + 6, y - 9)
When the above translation is applied on point A, we have the following equation
A' = (-3 + 6, 5 - 9)
Evaluate the sum and he difference in the above equation
A' = (3, -4)
Hence, the coordinate of the point she would end up is (3, -4)
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Complete question
The coordinates (the x- and y-values) for point A are (−3, 5).
If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?
Is −5 greater than, less than, or equal to |−5|?
Answer: Less than
Step-by-step explanation:
The symbols || indicate absolute value.
Absolute value changes a number into it's distance from 0 on the number line. As such, |27| = 27, but |-9| = 9.
Thus, |-5| = 5, and 5 > -5
|-5| > -5
Hope it helps
Answer:
Less than
Step-by-step explanation:
-5 is negetive 5 and |−5| means "positive 5", or just 5
Evaluate x + y when x = -3/8 and y = 7/12.
Answer:
Solutions: x=1.
Step-by-step explanation: