Answer:
5
Step-by-step explanation:
A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y
Solution:
The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.
Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.
Given that the median price = $1200, this means that the middle of the group of numbers is $1200
900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Since y is odd, for the median price to be $1200, y has to be 3 or 5.
If y = 3:
900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
median = $1200
If y = 5:
900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Median = $1200
Therefore the greatest possible value of y is 5
By knowing that the median must be $1,200, we will see that the greatest possible value of y is y = 9.
We know that the company bought:
6 computers costing $1,6004 computers costing $1,200y computers costing $900We know that y is a positive odd number.
We also know that the median is $1200, now we want to get the maximum value of y such that the median is $1200. (Remember that the median is the value of the middle element of the set).
Then we will have the distribution:
{ y elements, $1200, the other 3 $1200 computers plus the 6 $1600 computers}
Notice that y (the number of elements at the left of the median) must be equal to the number at the right of the median.
At the right of the median, we have a total of 9 computers, then y must be equal to 9.
The greatest possible value of y is 9.
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the ratio of boys to girls at space camp is 3:2 if there is a total of 60 campers,then how many of the campers are girls
Answer:
24
Step-by-step explanation:
3+2=5
5u-> 60
1u->12
2u-> 24
. 80 = cm2 and a 5 height of 7.75 cm. Calculate the volume
Answer:
542.5
Step-by-step explanation:
Calculate the volume of a rectangular object by multiplying the length, width and height together. For example, if the length is 80 cm, the width is 7.75 cm, and the height is 7.5 cm, the volume is 80 x 2 x 7.5, or 7.75 cm^542.5
Jay jogs daily for exercise. he hits faster than 3.5 miles per hour every day. which inequality representd Jay's jogging speeds s?
Answer:
B
Step-by-step explanation:
The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.
Solve the following inequality 5x+12+3x<36
Answer:
x<3
Step-by-step explanation:
5x+12+3x<36
First subtract 12 from both sides.
5x+3x<24
Next combine like terms on the left side (5x and 3x)
8x<24
Next divide 8 from both sides
x<3
7 cm
4 cm
8 cm
WHAT IS AREA of parallelogram?
Answer:
224cm squared
Step-by-step explanation:
The area of the parallelogram is 32 cm².
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
The area of a parallelogram is base x height.
We have,
Area of a parallelogram.
= base x height _____(A)
Now,
Base = 8 cm ____(1)
Height = 4 cm ____(2
Now,
Substitute (1) and (2) in (A).
Area = 8 x 4
Area = 32 cm²
Thus,
The area of the parallelogram is 32 cm².
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Your internet service provider (ISP) charges a $55 installation fee and a fixed charge
per month for its service. The total cost for monthly service after 6 months is $455.
Write an equation for cost, C, after t months of service.
• C = 65t + 55
• C = 55.83t + 55
• C= 55t + 65
• C= 55t + 455
Answer:
C=65t+55
Step-by-step explanation:
I just took the quiz
The equation for cost, C, after t months of service is C= 55t + 65.
Important information:Your internet service provider (ISP) charges a $55 installation fee and a fixed charge per month for its service. The total cost for monthly service after 6 months is $455.
Equation:Here c means the cost, t means the number of months
So,
C = 55t + 65
Learn more about the equation here: https://brainly.com/question/3914382
If y=5x-3and 3x-y=-1, what is the value of y?
A. 7
B. -1
C. 2
D. -8
which one is it help ASAP
Answer:
The solution is (>)
Step-by-step explanation:
It can be said this is bigger because the number 7 is bigger than 6. The language is simple like this, for example we ignore the 2, the number 75 and 60 is clearly bigger than 75. It's the same as 2.75 with 2.6. So the number is 2.75 bigger than 2.6
There are 16 members on Philip Track Team only 1/4 of them are participating in the 400 m relay how many team members are participating in the relay
Answer: 4 members
Step-by-step explanation: Good luck! :D
Answer:
4 members are participating
Step-by-step explanation:
Make the denominator equivalent to the amount of members
1/4 times 4
4/16
perimeters of similar figures
what is 10000000000000000000067 x 334673854388 + 436747883 - 34521 =
Answer:
3.3467385e+33
2x + 8y=30 y=2 solve for x
Answer:
x = 7
Step-by-step explanation:
2x + 8y=30
y=2
2x + 8(2) = 30
2x + 16 = 30
2x = 30 - 16
2x = 14
x = 14/2
x = 7
The Function f(x) =15,000(0.88)x represents the value of a car over x years . What is the most appropriate domain for which the value of the car will me greater than 10% of its original value ?
What is the surface area of the solid...
Answer:
340 Square inches
Step-by-step explanation:
Find the angle between the diagonal of a cube of side length 15 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Answer:
the angle between the diagonal is 0.6155 RADIANS
Step-by-step explanation:
Given the data in the question
as illustrated in the image below;
O is [0,0,0]
B is [15,0,15]
E is [15,15,15]
Now to find angle BOE
vector OB = [15,0,15]
vector OE = [15,15,15]
OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]
|OB| = √(15² + 15²) = √(225 + 225) = √450
|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675
so
Angle BOE = cos⁻¹ ( 450 / ( √450 × √675 )
Angle BOE = cos⁻¹ ( 0.81649 )
Angle BOE = 35.265°
Angle BOE = 0.6155 RADIANS
Therefore, the angle between the diagonal is 0.6155 RADIANS
what fractions equal to 4/6 that is a multiplication sentence.
please help thanks
Pls help me I’ll make brainliest
Answer:
$0.60
Step-by-step explanation:
just divide the 2 one
what half of 120?
60
60 cents
write 3 x 7 x 7 x 7 x 7 as a index notation
Answer:
7^4 x 3
Step-by-step explanation:
write 3 x 7 x 7 x 7 x 7 as a index notation
Answer:
3 x 7 x 7 x 7 x 7
= 3 x [tex]7^{4}[/tex]
write the equation of the line that passes through the pair of points (0,2 ) and (4,-1) in slope intercept form?
Answer:
y=[tex]\frac{3}{-4}[/tex]x+2
Step-by-step explanation:
Use equation M= [tex]\frac{y2-y1}{x2-x1}[/tex]
this will give you the slope of the line.
to get b which is the y intercept take the y intercept which is 2
Dennis and Mark are playing a game with a number cube with numbers one through six the numbers they have rolled On the number cube are shown in the table below
Answer:No answer
Step-by-step explanation: There is nothing shown below sooooooooooooooo... u set urself upfor FAILURE
write the slope-intercept form of the equation of the line that passes through the point (-4,-1) and is parallel to the line y=3/4x-1
Answer:
Step-by-step explanation:
Parallel lines have same slope.
y= mx + b
Slope = m & b = y-intercept
y = 3/4 x - 1
m = 3/4 ; (-4 , -1)
y - y1 = m(x - x1)
[tex]y - [-1]=\frac{3}{4}(x -[-4])\\\\y + 1 = \frac{3}{4}(x+4)\\\\y +1 = \frac{3}{4}*x + 4*\frac{3}{4}\\\\y + 1 = \frac{3}{4}x+3\\\\y =\frac{3}{4}x+3-1\\\\y =\frac{3}{4}x+2[/tex]
Oceanside Bike Rental Shop charges a $15 flat fee plus $6 an hour for renting a bike. Dan paid $39 to rent a bike. Which equation can be used to find how many hours he rented the bike for?
a 15x + 39 = 6
b 39x + 6 = 15
c 6x + 15 = 39
d 15x + 6 = 39
e6x + 39 = 15
f 39x + 15 = 6
Answer:
c. 6x + 15 = 39
Step-by-step explanation:
hope this helps
Which of the following fractions is written in its simplest form?
a. 11/121
b. 45/50
c. 14/35
d. 12/73
Help me Please!!!!!!
What are the factors of polynomial function g?
g(x)= x3 + 2x^2 - x - 2
Answer:
g(x)= (x+2) (x+1) (x-1)
Step-by-step explanation:
8x - 2
f(x) = 3x3 + 4x2
g(x) = 3x - 5
Find (f – g)(30)
Answer
P= 2L+2W
P=2(12) +2(7) =38
Step-by-step explanation:
The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle and the perimeter of the rectangle.
First it helps to draw a picture so draw a rectangle
Remember that area of a rectangle =Length times width and the perimeter is P= 2 times the length plus 2 times the width
So A=LW and P=2L+2W
84= area
L=length
W= length -5
L(L-5)=84 distribute the L and you have L2 -5L=84 now subtract 84 from both sides and get L2 �5L-84 next factor to get (L+7)(L-12) next set both to =0 (L+7)=0 (L+12)=0 solve for L
L=-7 and L=12 you can�t have a negative length so -7 is out. So L=12 now plug in to the original area equation
84=LW 84= 12w now divide both sides by 12 to isolate W, this gives you W=7
L=12 and W= 7
For perimeter use 12 for the length and 7 for width Remember that P= 2L+2W
P=2(12) +2(7) =38
It’s due late tonight can some pls help me pass
Answer:
C 160
Step-by-step explanation:
hop it helped you in any way
2m= cm
Pls help me!!!
Answer:
200cm
Step-by-step explanation:
how do you decompose a parallelogram into two triangles
Answer:
Step-by-step explanation:
A parallelogram can always be decomposed into two identical triangles by a segment that connects opposite vertices. Going the other way around, two identical copies of a triangle can always be arranged to form a parallelogram, regardless of the type of triangle being used.