Let c represent amount of commission and s represent amount of sales.
We have been given that Lee sells electronics. He earns a 5% commission on each sale he makes.
A. We are asked to find the constant of proportionality.
First of all, we will write our given equation as direct proportion. We know that two proportional quantities are in form [tex]y=kx[/tex], where y is directly proportional to x and k represents constant of proportionality.
We can represent our given information in an equation as:
[tex]c=\frac{5}{100}s[/tex]
[tex]c=0.05s[/tex]
Therefore, constant of proportionality is [tex]0.05[/tex].
B. To find amount of electronics sold by Lee, we will substitute [tex]c=100[/tex] in our equation an solve for s as:
[tex]100=0.05s[/tex]
[tex]\frac{100}{0.05}=\frac{0.05s}{0.05}[/tex]
[tex]2000=s[/tex]
Therefore, Lee must sell $2000 of electronics to make $100 commission.
Jordan is cutting a 2 m by 1 1\4 piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the peices
Answer:
The area of the original piece is (2)(5/4)
A cut along the diagonal makes to equal pieces.
box and whisker 45 50 55 60 65 70 75
Answer: 40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70
Step-by-step explanation: Keeps repeating
Answer:
Please see attached image of a box plot.
1. A ball is thrown off of a balcony and it's height can be
modeled using the function, f(x) = -x2 + 4x + 12, where x is
the number of second after the ball was released. After
how many seconds will it the ball to hit the ground?
Answer:
After 6 seconds, the ball will hit the ground.
Step-by-step explanation:
f(x)=-x^2 + 4x + 12
Since we want to see when it touches the ground, the height must be equal to 0, so f(x) has to equal 0.
0=-x^2 + 4x + 12
If you factor this equation, you'd get:
(-x + 6)(x + 2) = 0
We get the 2 and the 6 from the factors of 12. The two factors of 12 have to be able to add or subtract into 4, and in this case, 6-2 is 4. (If you multiply this equation out, you'd get the same one you started with)
Since we need it to equal 0, the way to multiple to 0 is to have a zero itself. This means that either (-x+6) is equal to 0 or (x+2) is equal to 0. The only x values that satisfy this is 6 and -2. You can't have -2 seconds after, so it has to be 6.
Hope that helps.
Which of the functions below could have created this graph?
A. F(X)=x5+2x4+3x
B. F(x)=x3+x+2
C. F(x)=1/2x4+x3+x
D. F(x)=-x4+1
Answer:
C. [tex]f(x)=1/2x^{4}+x^{3}+x[/tex]
Step-by-step explanation:
I graphed the equation on the graph below and it looks very similar to the graph you gave.
If this answer is correct, please make me Brainliest!
The required function that are in the graph is F(x)=1/2x^4+x^3+x.
Graph has been given, function to be determine.
What are functions?Functions is the relationship between sets of values. e g y=f(x).
From the graph, function gives y = 0 twice when x =0 and x= -2.3
The only function that gives y = 0 for x =0 and x= -2.3 is F(x)=1/2x^4+x^3+x.
Thus, The required function that are in the graph is F(x)=1/2x^4+x^3+x.
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please help me with this
Answer:
D
Step-by-step explanation:
the answer should be D
Question 9
.....................................................................
Answer:
your answer is D (6.72)
Step-by-step explanation:
substitute x by 4
y = 2.76(4) - 4.4
y = 11.12 - 4.4
y = 6.72
Therefore the option D (6.72) is the correct answer
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Find "C" when "F" = 120.
Round to tenths.
C= 5F-160 /9
Answer:
C = 48.9
Step-by-step explanation:
C= 5F-160 /9
C= (5F -160)/ 9
Put F =120
C = (5(120) - 160)/9
C= (600 - 160)/9
C = 440/9
C = 48.89≈ 48.9
Please calculate the volume of the triangular prism (MIDDLE SCHOOL MATH)
Answer:
52.374 cm*3
Step-by-step explanation:
the upper triangle is equal to the bottom triangle
Btw fyi the formula of calculating the value of a prism is:
area of the base × height
If the sum of 4040 consecutive integer numbers is 2020, find out the absolute difference between the first number and the last number.
Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]
For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!
PLZ I need help with the first problem!
Answer:
5/32
Step-by-step explanation:
You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.
Find Volume of water.
V=lwh
V= 1/2 x 1/2 x 5/4
V=5/16.
Find Volume of The whole shape.
V=lwh
V= 1/2 x 5/4 x 3/4
V=15/32.
Subtract : 15/32-5/16=5/32
VOLUME OF MISSING PART = 5/32 meters cubed
Triangle ABC has vertices at A(-2.3), B(-3, -6), and C(2, -
1). Is triangle ABC a right triangle? If so, which angle is the
right angle?
O No, the triangle has no right angles.
Yes, the right angle is angle A.
O Yes, the right angle is angle B.
O Yes, the right angle is angle C.
Answer: The right angle is at angle C
Step-by-step explanation:
Yes, the angle is a right angle at C (Edge option D)
Construct one circle with center A passing through point B and another circle with center A passing through C. Circles with common centers are called concentric circles. We’ll refer to the circle that passes through B as AB and the one that passes through C as AC. Besides being concentric, what is the relationship between circles AB and AC? someone please help me
Answer:
The two circles centered at point A are concentric and similar
Step-by-step explanation:
plato
ASAP : What is the y-coordinate of the center of the circle for the following circle equation? x2 + y2 - 10y + 18x = 2
Answer:
y = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre ad r is the radius
Given
x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )
x² + 18x + y² - 10y = 2
Using the method of completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25
(x + 9)² + (y - 5)² = 108 ← in standard form
with centre = (- 9, 5 )
The y- coordinate of the centre is therefore y = 5
Cassandra baked a cake measuring 13 in. x 9 in. x 2 in. She wants to add frosting to the cake. The only side that will not be frosted is the bottom of the cake.
What is the surface area that will be frosted with icing?
A.24 in
B.117 in
C.205 in
D.322 in
Answer: B. 117 in
Step-by-step explanation:Took the test Trust
Hope this helps -----
The surface area that will be frosted with icing is 205in²
What is the surface area that will be frosted with icing?
It will be equal to the sum between the top surface, which measures:
S = 13in*9in = 117 in²
And the four lateral sides, two of them measure:
s' = 2in*9in = 18in²
The other two measures:
s'' = 13in*2in = 26in²
Then the total surface area that must be frosted is:
SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²
So we conclude that the correct option is C.
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what is
A, 80cm : 2.5
B,4kg : 1600g
C,5m : 500m
d, 800g : 2kg
f, 5days : 5weeks
h,40sec : 1min
j, 800ml : 1l
l, 10cm : 80cm
pls tell me the answers i will give 5stars
Answer:
......
Step-by-step explanation:
b)4kg:1600g
convert 4kg to grams
4000g:1600g
then divide
=5g:2g
then convert 5g into kg
=0.005kg:2g
f)5 days:5 weeks
multiply 5weeks by 7 u will get 35
5days :35dys then divide by 5
1:7days
=1 day:1 week
h)40 sec:1 min
40 sec:60 sec
then divide both of them by 2
2 sec:3 sec
then take 3 ÷60=0.05 min
=2 sec:0.05 min
Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many cookies will he have remaining
Answer:
He can make 4 groups as for the 5th group he left with 4 cookies.
So your answer would be 4 groups and 4 cookies.
hope it helps!
Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)
Answer: 4
Step-by-step explanation:
Using pythagoras theorem =>
b=[tex]\sqrt{c^2-a^2[/tex]
b=[tex]\sqrt{5^2-3^2}[/tex]
b=[tex]\sqrt{25-9}[/tex]
b=[tex]\sqrt{16}[/tex]
b=4
Answer:
4
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
The measure of the hypotenuse is 5. The measure of the given leg is 3.
[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]
The unknown side of the triangle should be four units.
does the equation (X+2)squared +3 have a vertex of (2,3)
what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
Tom and Sam can finish a plowing job in two hours. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?
Answer:
Step-by-step explanation:
1X+17=121X+17=12
1X=12−171X=12−17
1X=72×7−27×21X=72×7−27×2
1X=7−2141X=7−214
1X=5141X=514
Taking inverse on both sides
X=145=2.8 hoursX=145=2.8 hours
The time taken by Sam is 2.8 hours.2.8 hours.
PLEASE HELP! Will KARK BRAINLIEST!
If 3/8 inches on a scale drawing is equivalent to one foot at full scale, what distance on the drawing will stand for 40 inches?
Answer:
A.) 1/8 Inches
Step-by-step explanation:
Solve dy/dx = (1-x)(1-y)
Answer:
[tex]y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]
Step-by-step explanation:
We begin with the differential equation [tex]\frac{dy}{dx} =(1-x)(1-y)[/tex]
Firstly, we need to get the [tex]y[/tex] and [tex]dy[/tex] as well as the [tex]x[/tex] and [tex]dx[/tex] on the same sides as each other
To do this, we can multiply each side by [tex]dx[/tex] and divide each side by [tex](1-y)[/tex]
Doing this will give us the following differential
[tex]\frac{1}{1-y} dy=(1-x)dx[/tex]
Now, we can integrate each side
[tex]\int\limits\frac{1}{1-y} \, dy =\int (1-x) \, dx\\\\-ln(1-y)=x-x^2+c_{1}[/tex]
Now, we need to solve for y
[tex]-ln(1-y)=x-x^2+c_{1}\\\\ln(1-y)=x^2-x+c_{2} \\\\1-y=e^{x^2-x+c_{2}} \\\\y=1-e^{x^2-x+c_{2}}\\\\y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]
Evaluate the dot product of (3,-1) and (1,5).
Answer here
Answer:
The dot product is -2
The required dot product of (3,-1) and (1,5) is -2.
Evaluate the dot product of (3,-1) and (1,5).
What is dot product?It is a principle to combine two vectors. It tells about how much two vectors approaching in the same direction.
Now converts the coordinates to vector form.
a = 3i -1j
b = 1i + 5j
Dot product of two vectors a and b,
a.b = 3x1 - 1x5
a.b = 3-5
a.b = 2
Thus, the required dot product of (3,-1) and (1,5) is -2.
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What is the difference between a trapezoid and a rhombus? A) A trapezoid is a parallelogram and a rhombus is not. B) A rhombus always has 4 equal sides and a trapezoid does not. C) A rhombus always has 4 right angles and a trapezoid does not have to. D) A rhombus never has 2 sets of parallel sides and a trapezoid always does.
ASAP WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
I remember doing this is school, a is wrong, c is wrong. d is wrong
Answer:
Answer:
b
Step-by-step explanation:
I remember doing this is school, a is wrong, c is wrong. d is wrong
Step-by-step explanation:
probability
0
1/2
1/5
1??
Answer:
1
Step-by-step explanation:
Total number of portions = 10
unshaded portion= 5
number of even numbers =
probability of unshaded portion = 5/10 = 1/2
probability of even number = 5/10 = 1/2
Probability of landing on unshaded or even portion= probability of landing on unshaded portion + probability of landing on even number = 1/2 + 1/2 = 1
someone answer this time with answers
Answer:
1) 4/5
2) 12/5
3) 2
4) 3/2
5) 24/25
6) 0.6 Repeated.
7) 3/2
8) 9/20
9) 24/5
10) 12/5
Hope this helped! ;)
Answer:
1) 10 1/2
2) 15 2/5
3) 9 1/3
4) 14 5/8
5) 8 4/25
6) 6
7) 14 7/8
8) 10 17/20
9) 20 9/10
10) 9 1/5
Step-by-step explanation:
I'm not sure how to give a step by step explanation for these. You just have to convert them all to improper fractions, multiply them, then convert them back to a mixed number. That's the extent of my knowledge.
The probability of getting a 6 after rolling a fair dice 16.
Abby is going to roll the dice 30 times.
Estimate the number of times the dice will land on a 6.
Answer:
P(6) = 5
Step-by-step explanation:
The dice is cast 30 times (k = 30)
So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning
5 x 1
5 x 2
5 x 3
5 x 4
5 x 5
5 x 6
____ +
30 casts in total (evenly distributed over all numbers of the dice)
P(6) = 1/6 * 30
P(6) = 5
Find the area of the trapezoid.
Answer:
49
Step-by-step explanation:
Area for a trapezoid is A=(a+b/2)h
A = ((4 + 10)/2)
A = (7)*h
A = 7*7
A = 49
Answer:
96
Step-by-step explanation:
3 x 4= 12
3 x 7=21
21
x 4
___
84
+12
___
96
Does anyone understand???
Answer:
The Answer is A.
Step-by-step explanation:
Please mark me brainliest.
Pleaseeeeee helpppppp very urgent pleaseeeee
Answer:
||u|| = sqrt((0 + 3)^2 + (4 + 2)^2) = 6.71
||v|| = sqrt((3 + 0)^2 + (3 + 2)^2) = 5.83
slope of u = 4/2 = 2
slope of v = 5/3
=> Option D is correct
Hope this helps!
:)