9514 1404 393
Answer:
direct: 108; inverse: 16/3direct: 108/5; inverse: 15direct: 200; inverse: 1/2direct: 147/2; inverse: 6Step-by-step explanation:
We cannot tell what kind of proportionality to assume here.
If x and y are directly proportional, multiplying one by a factor will multiply the other by the same factor.
If x and y are inversely proportional, multiplying one by a factor will divide the other by the same factor.
__
1. Given (x, y) = (2, 24). Direct: y = 9/2(24) = 108.
Inverse: y = 2/9(24) = 16/3
__
2. Given (x, y) = (25, 18). Direct: y = 30/25(18) = 108/5.
Inverse: y = 25/30(18) = 15.
__
3. Given (x, y) = (1, 10). Direct: y = 20/1(10) = 200.
Inverse: y = 1/20(10) = 1/2.
__
4. Given (x, y) = (21, 10). Direct: x = 35/10(21) = 147/2.
Inverse: x = 10/35(21) = 6.
At a real estate agency, an agent sold a house for $396,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$29,700 and $79,200
Step-by-step explanation:
Step one:
given
The selling price of the house is $396,000
The commission rate is 7.5% for the real estate agency
The commission rate for the agent is 20%
Step two:
1. How much did the agency make on the house?
This amount is 7.5% of $396,000
= 7.5/100*396,000
= 0.075*396,000
=$29,700
2. How much did the agent earn in commission?
This amount is 20% of $396,000
= 20/100*396,000
= 0.2*396,000
=$79,200
HELP HELP HELP PLEASE ASAP!!!
Which equations have no solution? Select ALL equations that have no solution.
A. 5x3+2x = 7x+3
B. 6x +5=2(8+6)
C. 3x + 2(x-1) = 5x +4
D. 4x2+x= -4+3x+2
E. 9x+5+x= 10x-6+1
OA. A and B
OB. B, C, and D
OC. C and E
D. A, C, and E
Answer:
C. C and E has no solution
Step-by-step explanation:
C) Let's solve your equation step-by-step.
3x+2(x−1)=5x+4
Step 1: Simplify both sides of the equation.
3x+2(x−1)=5x+4
3x+(2)(x)+(2)(−1)=5x+4(Distribute)
3x+2x+−2=5x+4
(3x+2x)+(−2)=5x+4(Combine Like Terms)
5x+−2=5x+4
5x−2=5x+4
Step 2: Subtract 5x from both sides.
5x−2−5x=5x+4−5x
−2=4
Step 3: Add 2 to both sides.
−2+2=4+2
0=6
Answer:
There are no solutions
E) Let's solve your equation step-by-step.
9x+5+x=10x−6+1
Step 1: Simplify both sides of the equation.
9x+5+x=10x−6+1
9x+5+x=10x+−6+1
(9x+x)+(5)=(10x)+(−6+1)(Combine Like Terms)
10x+5=10x+−5
10x+5=10x−5
Step 2: Subtract 10x from both sides.
10x+5−10x=10x−5−10x
5=−5
Step 3: Subtract 5 from both sides.
5−5=−5−5
0=−10
Answer:
There are no solutions.
Six checkers are placed in three boxes: two red are in a box labeled "RR"; two black are in a box labelled "BB"; a red and a black are in a box labelled "RB". How can you tell, by taking only one checker out of one of the boxes (and without looking at any of the other checkers), the correct content of all three boxes?
Answe and Step-by-step explanation:
Looking at the question the way it was asked, it is easy because it said they have been labelled, so you don't have to stress yourself. Although, if what is intended is, the labelling got wrong along the way and how do you identify the correct one? Then this is what to do:
Go to the one labelled RB. Since I'm assuming that the labelling got wrong, if you pick a red, it means what we have should be a RR and if we picked a black, it means what we have is a BB and we can't have a RB because it was labelled wrongly.
Let's assume he saw a red,
We know that the BB box was labelled wrongly, and we already determined that the box with RB is a RR. Therefore, the box BB can never be RR(because we've seen it already) and it's certainly not BB (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be BB.
If we assume what was picked from the wrongly labelled RB is black.
We know that the RR box was labelled wrongly, and we already determined that the box with RB is a BB. Therefore, the box RR can never be BB and it's certainly not RR (due to the fact that they were labelled wrongly). So we have only one option left which is it being RB and whatever we have left will be RR.
When she was younger, Mary had to look up at a 68 degree angle to see into her father's eyes whenever she was standing 15 inches away. How high above the flat ground were her father's eyes if Mary's eyes were 32 inches above the ground?
Answer:
69 INCHES
Step-by-step explanation:
Given that :
Height of father's eye above the flat ground :
Kindly check attached picture for diagram:
To obtain the value of h ; we can use Pythagoras rule ;
Tan θ = opposite / Adjacent
Tan 48 = h / 15
15 tan 48 = h
37.126302 = h
h = 37.
Hence, height of father's above the flat ground :
h + 32 = 37 + 32= 69 inches
Shelly is making on apple pie, She needs 74 CUP
of sugar for her cian How many cups of sugar will she need
if she makes 7 pies
Answer:
74x7=518
so she need 518 cup of sugars
Plz help me it’s inequalities thx (:
A clothing store is running an offer on men's shirts. When two shirts are bought at regular price, the third shirt is 50% off. Jeremy decided to buy three shirts for his brother using the offer. The regular price for a shirt is $36.00. Based on a tax rate of 7.50% that is applied after the discount, Jeremy paid a total of $ 100 for three shirts, including tax.
Answer: $96.75
Step-by-step explanation:
Regular price is $36 and the third shirt will come at a 50% discount.
Total price for the 3 shirts is;
= 36 + 36 + (36 * 50%)
= $90
The total after-tax is;
= 90 * ( 1 + tax rate)
= 90 * ( 1 + 7.50%)
= $96.75
I am unsure what the question is but the total amount that Jeremy should pay is $96.75.
Caroline's Coffee shop sells a refill mug for $7.95. Each refill costs $1.60. Last month Sean spent $35.15 on mug and refills. How many refills did he buy?
Answer:
17 refills
Step-by-step explanation:
1.6x + 7.95= 35.15
1.6x = 27.2
x=27.2/1.6
x= 17
Find the equation of the lines through the given points. Write the equation in slope-intercept form:
Between (-4,-3) and (4.-1)
Answer:4-x3
Step-by-step explanation:
I think that’s right
helppp which car should i buy???
Answer:
Buy the black carStep-by-step explanation:
I hope l helped you.The purple car looks lit but kinda smaller than the black one. (are you really going to buy one if you are only in high school?)
HELP PLS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is B
Step-by-step explanation:
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
2
Step-by-step explanation:
5/1 *2/5 =10/5=2
Answer:
The correct answer is 2.
Step-by-step explanation:
To multiply this, we need to turn the integer 5 into a fraction. 5 can also be represented as 5/1.
5/1 x 2/5 =
10/5 =
2
Therefore, the correct answer is 2.
Hope this helps! :D
Plssss hellpppppp meeeeeeeww
Answer:
12
Step-by-step explanation:
When the numerators are the same, the denominator that is bigger has a lesser value. In this case, the inequality > shows that [tex]\frac{1}{10}[/tex] is bigger than the fraction next to it so in order to find a fraction that is lesser in value than [tex]\frac{1}{10}[/tex], we need to find a denominator that is more than 10, since 10 is the denominator of the first fraction. The only number more than 10 in the options is 12, so 12 is the answer.
8 light grey and 6 dark grey balls sit at the center with 2 concentric black rings around them. the inner ring has 2 medium grey balls on it, and the outer ring has 8 medium grey balls on it. at bottom, a dark grey ball
The Z value(atomic number) of the given atom is 8
for the reason that a dark gray ball has a further charge, it is a proton due to this. A mild grey ball has no fee, too. consequently, it's miles a neutron.A medium gray ball, however, incorporates a bad fee. it's miles an electron because of this.As is not unusual understanding, there are precisely as many protons as electrons in a impartial atom.because the furnished atom version lacks an usual rate Q. Atoms are subsequently impartial in nature.additionally, the full quantity of protons in an atom is identical to the atomic range. thus, the has atomic number an average proton depend of eight, a neutron remember of nine, and an usual electron count number of 8.Thus, we find that the atomic number of given atom is 8To learn more about atomic number visit:
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What is the solution of 6 = x-2/4?
Answer: x=13/2
Step-by-step explanation: hope this helps!
A pet store just decided to sell fish, so the
manager purchased 50 of the fish tanks shown
above to hold the fish. The staff need to fill
the bottom two inches of each tank with sand,
which comes in bags of 40 pounds. If 1 cubic
inch of sand weighs about 2 ounces, how
many bags of sand does the pet store need to
buy? (There are 16 ounces in 1 pound.)
A) 45
68
B)
C) 84
D) 125
Last week, Jamal and Elena each donated money to charity. Jamal donated $51.88 to help endangered animals, and Elena donated $72.01 to save the rain forest. How much did Jamal and Elena donate in all?
Answer:
$123.89
Step-by-step explanation:
51.88 + 72.01 = 123.89
Answer:
123.89
Step-by-step explanation:
$51.88 + $72.01= 123.89:)
Hope this helps! If correct, please mark brainliest! :)
answer asap please!!
Answer: B
Step-by-step explanation:
The lines outside the number on the left represent absolute value, meaning it doesnt matter if it is negative you just count it as positive. Since the number on the left is greater than the number on the right, the answer is B
Write the standard form of the that passes through the given points. your work in your final answer Type your answer in the box provided or use the upload option to submit your solution (4, 7) and (0, 7)
Look at the system of equations. One of them is
Y =-x-2
What is the other equation? Write in slope-intercept form. Start with y =
Please help:)
Answer:
y=4x+3
Step-by-step explanation:
The given equation y=-x-2 is the equation of the line passing through the points (-1,-1) and (-2,0) in the given graph.
From the graph, the other line is passing through the points (0,3) and (-1,-1).
So, the equation of the line passing through the two points is
[tex]y-3=(x-0)\times \frac{-1-3}{-1-0} \\\\y-3=x \times \frac{-4}{-1} \\\\y-3= x \times4 \\\\y=4x+3[/tex]
Hence, the equation of the other line is y=4x+3.
What’s the next number in the pattern, and what is the formula to find the next 2 numbers in the pattern?
7, 28, 63, 112..
Answer: 7, 28, 63, 112, 175, 252, ...
Step-by-step explanation:
7, 28, 63, 112, ...
7*1, 7*4, 7*9, 7*16, ...
7*1², 7*2², 7*3^2, 7*4², ...
Hence, 7n², n=1, 2, 3, 4, ...
7*5²=
7*5*5=
175
7*6²=
7*6*6=
252
Thus,
7, 28, 63, 112, 175, 252, ...
F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find
FG
Answer:
FG = 10
Step-by-step explanation:
EF = x + 2 ; FG = 2x - 6
F is the mid-point of EG. So, EF = FG
[tex] = > x + 2 = 2x - 6[/tex]
[tex] = > 2x - x = 6 + 2[/tex]
[tex] = > x = 8[/tex]
FG = 2×8 - 6 = 10
Select the correct answer from each drop-down menu. Graph shows two lines on a coordinate plane. A line labeled p goes through (2, 2) and (0, minus 4). Another line labeled q goes through (0, 2) and (2, minus 4). Both lines intersect at X-axis at 1 and Y-axis at minus 1. The slope of line p is , and the slope of line q is .
The slope of line p is: 3
The slope of line q is: -3.
How to Find the Slope of a Line?To find the slope (m) of any given line, what we need is the coordinates of any two points on the given line. The formula to apply to find the slope (m) of the line is given as:
Slope (m) = change in y / change in x = y2 - y1 / x2 - x1.
Slope (m) of line p with points (2, 2) and (0, -4):
Slope (m) of line p = -4 - 2 / 0 - 2 = -6/-2
Slope (m) of line p = 3
Slope (m) of line q with points (0, 2) and (2, -4):
Slope (m) of line q = -4 - 2 / 2 - 0 = -6/2
Slope (m) of line q = -3
Therefore, the slope of line p is: 3
The slope of line q is: -3.
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please help i’ll mark brainlest
Answer:
$4,594.76
Have a nice day :)
Also I am not sure it is correct
Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm. How far did Chubby run? Round your answer to the nearest cm
Answer:
Chubby ran a distance of 6,283 m
Step-by-step explanation:
The length of one run is simply equal to the circumference of the circle
Mathematically, C = pi * d
C = 22/7 * 20 = 62.83 cm
So if one rotation is a distance of 62.83 cm, then 100 rotations will be a distance of;
62.83 * 100 = 6,283 m
I'll give brainliest to whoever answers the question correctly!
Which step in the proof has a flaw?
Answer:
reason 2
Step-by-step explanation:
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
When checking lightbulbs, a salesclerk found that 15% of the 680 he checked were defective. How many of the lightbulbs were found defective?
Answer: 102 lightbulbs were found by the detective.
Step-by-step explanation:
Answer:
102 lightbulbs.
Step-by-step explanation:
To get the answer you have to read into the problem this is important on things like this. These are the key words you need to look for, (Checked), (Defective) as well as the percentages and numbers so 15% and 680 are important as well. In the problem is says the "a salesclerk found that 15% of 680 lightbulbs were defective" then it ask "how many lightbulbs were found to be defective" because he said that 15% of the 680 were defective you have to find out what number makes up that 15% of the defective bulbs, In order to do this you 1.) turn 15% into a decimal making it .15
2.) You multiply your decimal by your total which is 680 so it would like this .15 x 680 this would = 120
so your answer is 120.
this is better explanation NOTE THIS IS A EXAMPLE THIS IS NOT THE ANSWER PROBLEM!!!
How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Example: What is 10% of 150?
Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
What is the value of x in this triangle?
Enter your answer in the box.
The value of x in the given triangle is 61
From the question, we are to calculate the value of x in the given triangle.
In a given triangle ABC, with interior angles A, B, and C, the sum of the angles is 180°.
That is,
∠A + ∠B + ∠C = 180°
Thus,
In the given triangle,
37° + 82° + x° = 180° (Sum of angles in a triangle)
Solve for x in the in the equation above
37° + 82° + x° = 180°
Add the numbers
119° + x° = 180°=
Subtract 119° form both sides
119° - 119° + x° = 180° - 119°
x° = 61°
Hence, the value of x in the given diagram is 61
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