Full Question:
Puzzle Details
Elevator Mishap
Six people, whose names are Fred Alberts, Larry Smith, Brian Martin, Marty Jones, Bill Edison, and John Fox were in an elevator together.
Suddenly, the lights went out. When the lights came back on, Fred Alberts' wallet was missing.
Detectives have investigated. They have questioned the suspects, the witnesses, and people who know the suspects. They have collected physical evidence (hair samples, fibre samples, etc.) from the crime scene. They have collected 14 clues, but have not been able to solve the crime.
Therefore, they have called in the world's greatest detective, YOU. You must now examine the clues and solve the crime.
No two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.
The suspect who owns a purple car was wearing tan shoes.
The suspect who weighs 180 pounds owns a green car.
Brian Martin owns a green car.
The suspect who owns a black car was wearing blue shoes.
The suspect who weighs 150 pounds was wearing tan shoes.
Marty Jones was carrying a purple umbrella.
John Fox has red hair.
Larry Smith weighs 210 pounds.
The suspect who weighs 190 pounds was wearing blue shoes.
The suspect who was carrying a red umbrella is not the one who was wearing black shoes.
The thief owns a black car.
The suspect who owns a white car is not the one who weighs 170 pounds.
Bill Edison was wearing brown shoes.
The suspect who weighs 190 pounds is not the one who has red hair.
Answer:
Marty Jones
Explanation:
Given that no two suspects have the same weight, colour shoes, colour umbrella, colour car, or hair colour.
There are six people in the elevator including Fred Albert. Fred Albert was the one whose wallet was stolen and so our suspects are the other five people in the elevator.
We know that the thief owns a black car and he was wearing blue shoes
( since the suspect who owns a black car was wearing blue shoes). The thief also weighs 190 pounds( since the suspect who weighs 190 pounds was wearing blue shoes)
Brian Martin has a green car so he is cancelled out
John Fox has red hair and is cancelled out(since the suspect who weighs 190 pounds is not the one who has red hair)
Bill Edison was wearing brown shoes so he is cancelled out(since thief was wearing blue shoes)
Larry Smith weighs 210 pounds and he is cancelled out( since thief weighs 190 pounds)
We are left with one suspect remaining Marty Jones, hence he is the thief
A girl scout troop makes $1100 in two weekends of selling cookies. If they continued at this rate, how much money would they make in their seven weekend selling season?
Answer:
$3850
Step-by-step explanation:
It is given that,
A girl scout troop makes $1100 in two weekends of selling cookies.
2 weekend = $1100
1 weekend = $550
For 7 weekend, we will multiply $550 by 7 as follows :
7 weekend = $550 × 7
= $3850
So, for 7 weekend she will need $3850.
What operation do you have to do when there
is a number and a variable (letter) touching?
Subtract
Divide
Multiply
Add
Rewatch
Submit
Answer:
Multiply
Step-by-step explanation:
PLEASE help im struggling
Plz help. Which problem is a linear equation?
Answer:
I think the answer should be A
I’m on a timer I need help with this ASAP!!!!!!!!!!
24
23
22
21十
20-
4
8
12
16
Answer:
counted down
Step-by-step explanation:
it was counting up and went down by couting down in 2
Who cursed Narcissus with forcing him to fall in love with his reflection?
1 point
Hera
Aphrodite
Hestia
Persephone
Answer:
Aphrodite
Step-by-step explanation:
Aphrodite is the goddess of love. I have done this question!
Why do I have to watch an ad just to be told that I have to pay for brainly...
Answer:
Money
Step-by-step explanation:
Ads help provide money for the company.
HOPE THIS HELPED
The salary scale for an officer starts at $1,700,000 .A rise of $4000 is given at the end of each share . Find the total amount of money the officer will earn in 14 years
9514 1404 393
Answer:
$24,164,000
Step-by-step explanation:
The yearly salaries form an arithmetic sequence with a first term of 1700000 and a common difference of 4000.
The sum of n terms of an arithmetic sequence with first term a1 and common difference d is ...
Sn = (2a1 +d(n -1))(n/2)
For the given numbers, the sum of 14 years' salaries will be ...
S14 = (2·1,700,000 +4,000(14 -1))(14/2) = 24,164,000
The officer will earn $24,164,000 in a 14-year period.
Clearly, we can see that salary of the officer is in form of Arithmetic progession, where :
First term, a = $ 1,700,000Common difference = $ 4000Number of terms, n = 14And we have to find total salary i.e. [tex] \tt s_{n} = ?[/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{S_n = \dfrac{n}{2} \Bigg(2a + (n-1) d\Bigg)}}}[/tex]
By substituting values :
[tex] \tt : \implies S_n = \dfrac{14}{2} \Bigg(2(1700000) + (14-1) (4000)\Bigg)[/tex]
[tex] \tt : \implies S_n = \cancel{\dfrac{14}{2}} \Bigg(2\times 1700000 + 13 \times 4000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \Bigg(3400000 + 52000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \Bigg(3452000\Bigg)[/tex]
[tex] \tt : \implies S_n = 7 \times 3452000[/tex]
[tex] \tt : \implies S_n = 24164000[/tex]
[tex] \large \underline{\boxed{\bf{S_n = \$ 24,164,000}}}[/tex]
Hence, the total amount of money the officer will earn in 14 years is $ 24,164,000.
I need help with this ASAP, I’ll give brainliest if correct
Answer:
5 dollars
Step-by-step explanation:
Answer:
The price of an adult ticket is $5
Step-by-step explanation:
5*5=25
31-25=6
4*5=20
62-20=42
42÷7=6
Which table made this graph?
Answer:
IV
Step-by-step explanation:
The Y column is the same, and so is the graph.
The length of a rectangle 2 less than 2 times the width. The perimeter is 116ft. Find
the length and width.
Answer: w = 20 l = 38
Step-by-step explanation:
l = 2w - 2 (based on given info)
p = 2l + 2w (formula for perimeter)
p = 116 (given)
116 = 2l + 2w
116 = 2(2w-2) + 2w (substitute in l)
116 =‘ 4w-4 + 2w
116 = 6w-4
w=20
l=2(20) - 2 = 38
PLEASEEE help with this question
Answer:
Step-by-step explanation:
Gretta has 40 raffle tickets to sell. She is required to sell at least 15 tickets. She sells the raffle tickets for $10 each. The amount of money Gretta makes from selling x raffle tickets is represented by a function. f(x)=10x What is the practical range of the function?
Answer:
Option d is correct that is range of the function is all multiples of 10 between 150 and 400, inclusive.
Step-by-step explanation:
We have been given the information that gretta is selling x raffle ticket by a function
f(x)=10 x
Range is the values that y takes in a particular function
Here, we will get any value which is multiple of 10 since we have a function 10 times of something whatever value we put for x we will get multiple of 10.
Hence, Option d is correct that is range of the function is all multiples of 10 between 150 and 400, inclusive.
!!!!!!!HELP PLEASE!!!!!!
Answer: length 48 width 38
Step-by-step explanation: 48+48+38+38=173
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?
Answer:
The width of the garden is 25 feet
The length of the garden is 60 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle
= P = 2L + 2W
Where L = Length, W = Width
The length of the garden is 10 feet more than twice its width.
P = 170
L = 2W + 10
Hence,
170 = 2(2W + 10) + 2W
170 = 4W + 20 + 2W
Collect like terms
170 - 20 = 6W
150 = 6W
W = 150/6
W = 25 feet
The width of the garden is 25 feet
Remember
L = 2W + 10
L = 2(25) + 10
L = 50 + 10
L = 60 feet
The length of the garden is 60 feet
Which model can be used to represent the number below? 0.111
Answer:
The top right one
Step-by-step explanation:
It’s 111 so first find the one with the 10x10 grid then get the one of ten finally get the one with one
Answer: It is the top right.
Step-by-step explanation:
What is the value of log43? Use the calculator. Round your answer to the nearest tenth. 0.6 1.6 3.8 4.7
Answer:
1.6
Step-by-step explanation:
you plug it into a calculator
Answer:
B.) 1.6
Step-by-step explanation:
find the value of x
Answer:
9x= 360 -180
x= 180/9
x= 20°
Answer:
x = 30
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, thus
sum = 180° × 3 = 540°
Sum the given angles and equate to 540, that is
x + 106 + 90 + 74 + 8x = 540, simplify
9x + 270 = 540 ( subtract 270 from both sides )
9x = 270 ( divide both sides by 9 )
x = 30
Solve: -4.2 divided by 12
Answer: -0.35
Step-by-step explanation:
Answer:
- 0.35
Step-by-step explanation:
4.2 / 12 = 0.35
But you would put a negative sign at the end because the 4.2 was a negative but not the 12. (When only one number is negative in an equation the answer also has to be negativ.)
If x is positive and x^2 = 729, what is the value of x?
Answer:
27
Step-by-step explanation:
the cube root of 729=9 so sqrt729=27
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11=0
i need help with finding the domain of R
Answer:
The domain of R = [-2, ∞)
Step-by-step explanation:
We know that the domain of a function is the entire set of input values for which the function remains real and defined.
Given the attached graph, we can observe that at point x=-2 the graph heads towards positive infinity.
i.e. [-2, ∞) is the interval.
It means from x=-2 onwards to the positive infinity i.e. the interval [-2, ∞), the graph is representing the domain.
Therefore, the domain of R = [-2, ∞)
Lashawn used 44 stamps to mail a package. He used a
combination of $0.50 stamps, $0.35 stamps, $0.02 stamps,
totaling $15.01. If the number of $0.35 stamps is nine less
than twice the number of $0.50 stamps, find the number of
each type of stamp.
Answer:
Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package
Step-by-step explanation:
The given parameters are;
The number of stamps Lashawn used to mail the small package = 44
The price of the combination of 44 stamp = $15.01
The price categories of the stamps are $0.50, $0.35, and $0.02
The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9
Let, x represent the number of $0.50 stamps Lashawn used to mail the package
We have;
The number of $0.50 stamps Lashawn used to mail the package = x
The number of $0.35 stamps = 2 × x - 9 = 2·x - 9
The number of $0.35 stamps = 2·x - 9
The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x
The number of $0.02 stamps = 53 - 3·x
Which gives;
0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01
0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01
1.14·x - 2.09 = 15.01
1.14·x = 15.01 + 2.09 = 17.1
x = 17.1/1.14 = 15
x = 15
The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps
The number of $0.50 stamps Lashawn used = 15 stamps
The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps
The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.
Solve the equation 7x-4(-4x-16)= -166
Answer: x = -10
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x= -10
Step-by-step explanation:
7x-4(-4x-16)=-166 foil the ()
7x+16x+64= -166 combine terms
23x+64= -166 subtract 64 to both sides
23x= -230 divide by 23
x= -10
As an estimation we are told £3 is €4.
Convert £6 to euros.
Determine if the following figures are similar. Explain why or why not.
Answer: The following shapes are similar. If they were congruent, their side lengths would be proportional but they are not. Thus, they are similar
Step-by-step explanation:
There are 160 cups of water in 10 gallons of water. What is the total number of cups of water
in one and one-half (1.5) gallon of water? *
Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
Part A: Figure 1 →Figure 4
Part B: Figure 2 → Figure 5
Answer:
Part A: Figure 1 → Figure 4
Rigid Transformation
Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation
Part B: Figure 2 → Figure 5
Similarity transformation
Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation
Step-by-step explanation:
Part A: Figure 1 → Figure 4
The coordinates of the vertices of the preimage are;
(5, 10), (2, 4), (9, 2)
The coordinates of the vertices of the image are;
(-9, -2), (-2, -4), (-5, -10)
Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin
Part B: Figure 2 → Figure 5
The coordinate points of figure 2 are;
(-9, 2), (-5, 10), and (-2, 4)
The coordinate points of figure 5 are;
(1, 2), (2.5, -1), and (4.5, 3)
The lengths of the sides of figure 2 are;
√((10 - 2)² + ((-5) - (-9))²) = 4·√5
√((10 - 4)² + ((-5) - (-2))²) = 3·√5
√((2 - 4)² + ((-9) - (-2))²) = √53
The lengths of the sides of figure 5 are;
√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2
√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5
√((4.5 - 1)² + (3 - 2)²) = (√53)/2
Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2
Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°
We have;
Figure 5 is obtained as follows;
1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;
(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)
2) The image is translated left by 1 blocks and up by 6 blocks as follows;
(9, -2), (5, -10), and (2, -4) → (8, 4), (4, -4), and (1, 2)
3) The image is then dilated by a scale factor of 1/2 with a center of dilation of (1, 2) to get;
Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).
Please answer this question in the picture! It can be one choice or multiple..
Answer:
a
Step-by-step explanation:
hope this will help u.........