Answer:
16
Step-by-step explanation:
Let's denote:
a: number of students wearing sneakers
b: number of students wearing boots
We have:
a + b = 36
a/b = 4/5 (multiply both sides by b => a = 4b/5)
Substitute a = 4b/5 into a + b = 36
=> 4b/5 + b = 36
=> 4b/5 + 5b/5 = 36
=> 9b/5 = 36
=> b/5 = 4
=> b = 20
=> a = 4b/5 = 4(20)/5 = 16
The mean of a set of five different positive integers is 15. The median is 18. Find the maximum possible value of the largest of these five integers.
Answer:
35 (the sequence is 1,2,18,19,35)
Step-by-step explanation:
So you have 5 numbers a, b, 18, c, d ordered from low to high.
18 is given because it is the median.
If the mean is 15, the sum must be 75 (because 75/5=15).
d must be as high as possible, so the others must be as low as possible, but positive and different.
So let's say a=1 and b=2, we can't get any lower than that.
c can be no lower than 19, otherwise we'd lose the median.
That leaves for d = 75 - 19-18-2-1 = 35.
nice one
The largest possible integer for the given case is 51.
How to find the mean and median for a given sample of data?In order to find the mean, first sum all the values of the data and count the number of data then divide them.
In order to find the median, first check whether the number of data is even or odd. For even number, the median is n/2 th element of the sample and for odd number the median is (n + 1)/2 th element.
Given that,
The mean of five integers is 15.
And, the median is 18.
Since the median of n number of data in a sample when n is odd is given as,
Median = ((n+1)/2) th element.
For n = 5, the median is 3rd element.
Which implies the 3rd element is 18.
Now, sum of the five integers is given by 5 × Mean which is,
5 × 15
= 75.
Suppose the five integers are x₁, x₂, x₃, x₄ and x₅ respectively.
Then as per the question,
x ₁+ x₂ + x₃+ x₄+ x₅ = 75
And, x₃ = 18
Then, x ₁+ x₂ + 18 + x₄+ x₅ = 75
=> x ₁+ x₂ + x₄+ x₅ = 75 - 18
=> x ₁+ x₂ + x₄+ x₅ = 57
In order two find the largest possible integer, suppose the remaining three of them are 1, 2 and 3.
The equation can now be written as,
1 + 2 + 3 + x₄ = 57
=> x₄ = 51
Hence, the maximum possible value of the largest integer is 51.
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Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
help I don’t understand this
Answer: 90 degrees
Step-by-step explanation: Each of these angles are at 90 degrees since there is a square box at each of their second points.
Which of the following equations is graphed below?
Answer: 3rd answer choice
Step-by-step explanation:
Answer: 4th answer choice
Step-by-step explanation:
Find the area of the shaded triangle.
Answer:
7.5
Step-by-step explanation:
The area of a triangle is found by the formula A=1/2bh, where b is the base length, and h is the height. If we count the squares, we can find that the base length of the triangle is 3 units, and the height is 5 units. If we plug those numbers into the equation to get A=1/2*3*5, we can solve to get A=7.5
Andy is buying a car he negitiated a 7% decrease on a £6500 car he wil pay the full balance in 12 equal monthly payments calvulate the amount paid each month
Answer:
£503.75
Step-by-step explanation:
he negotiated a 7% decrease on a £6500:
the price of the car after discount is : 6500-(6500*7%) = £ 6045
£6045 paid fully in 12 month: £ 6045/12= £503.75
WILL MARK BRAINLIEST!!! 70 POINTS!!! for real answers plz(●'◡'●)
Answer:
In explanation ! :P
Step-by-step explanation:
Likes hamburgers and burritos : 39
Likes nothing : 33
Total missing : 205
Percentage who do like nothing : 16,09 %
Percentage who like all (without frequency table ) : 19,02 %
( without relative frequencies, sorry they don't let me :( : Is people who don't like burritos but likes hamburgers,they are the strongest )
I hope I helped you !^^
Sorry they don't let me do the frequency table ! :(
If you give me proper answer then you will get 14 points.and brainiest.
Answer:
Answers are in the file.
Step-by-step explanation:
For each and every equation I plugged in whatever it told me x would equal and I used it to solve the equations.
What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2
Answer:
A. g(x) = -2^x.
Step-by-step explanation:
If g(x) = -2, it would be a straight line running horizontally.
If g(x) = -x, it would be a linear equation.
If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.
So, the remaining answer is that A. g(x) = -2^x.
Hope this helps!
Its A, [tex]-2^x[/tex].
For inputs x you can find corresponding y-values on the graph of function:
[tex]x=1\implies y=-2^1=-2[/tex]
[tex]x=2\implies y=-2^2=-4[/tex]
[tex]x=3\implies y=-2^3=-8[/tex]
.
.
.
Hope this helps.
please help mee plzzzzz...solving quadratics
Answer:
equation: x^2+12x-220 = 0
factored form: (x-10)(x+22) = 0
solution: x=10 or x=-22
dimensions: 4 cm, 11 cm, and 21 cm.
Step-by-step explanation:
Given:
Volume = 924
dimensions of cuboid = 4, (x+1), (x+11)
Solution
Calculate volume
4(x+1)(x+11) = 924
simplify
(x+1)(x+11) = 231
Expand
x^2+12x+11 = 231
Simplify
x^2+12x-220 = 0
Factor
x^2-10x + 22x -220 = 0
x(x-10) + 22(x-10) = 0
(x-10)(x+22) = 0
x=10 or x=-22
Since x=-22 will give rise to negative dimensions, root will be rejected.
For x=10, the dimensions can be obtained by substituting x=10
x+1 = 11
x+11 = 21
So dimensions are
4 cm, 11 cm, and 21 cm.
Check: 4*11*21 = 924 checks.
WHAT IS THE TRUE SIMILARITY STATEMENT
Answer:
Option 2
Step-by-step explanation:
ΔPQR - ΔSTR
Because
∠S ≅ ∠P
∠T ≅ ∠Q
∠R ≅ ∠R
I hope this helps you
A pack of cards is numbered 1 to 24. A card is chosen at random. Find the probability that the number on the card is divisible by 2 or 3
Answer:
Step-by-step explanation:
It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.
Our answer is P= 16/24=2/3=66,66%
Which represents the reflection of f(x) = x over the y-axis?
х
-1
0
1
4
f(x)
undefined
0
1
2
f(x)
х
-1
0
1
1
0
-1
-2
4
Answer:
Graph having x ≤ 0
Step-by-step explanation:
f(x) = [tex]\sqrt{(-x)}[/tex]
Given function 'f' when reflected across the y--axis,
Translated form of the parent function will be,
g(x) = [tex]\sqrt{(-x)}[/tex]
Table for the input-output values for this function will be,
x g(x)
-1 1
0 0
1 undefined
4 undefined
Table shows that the given function is undefined for x > 0
Domain of g(x) will be (-∞, 0],
Therefore, graph having values of x ≤ 0 will be the answer.
Answer:
I think its D on edge!
Step-by-step explanation:
The volume of a cone with a height of 6 cm is 8 pi cubic centimeters. Which expression can be used to find r, the radius of the base of the cone? 6 = one-third pi (r squared) (8 pi) 8 pi = one-third pi (r) (6 squared) 6 = one-third (pi r)(8 pi) 8 pi = one-third pi (r squared) (6)
Answer:
last option is correct
Step-by-step explanation:
Mathematically, we can write the volume of a cone as;
V = 1/3 * pi * r^2 * h
From the question, V is 8 pi cm^3 while h is 6cm
Thus, substituting these values into the equation, we have;
8pi = 1/3 * pi * r^2 * 6
The last option is the correct answer that tallies with the above
Answer:
8 pi = one-third pi (r squared) (6)
its d
Step-by-step explanation:
On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get groceries for the week and ends up spending more than planned. When Mica checks her account, she now has a balance of $-48.15. How much money did Mica spend at the market?
Answer: $70.65
Step-by-step explanation:
From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.
To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:
= $22.50 - (-$48.15)
= $22.50 + $48.15
= $70.65
Mics spent $70.65 at the market.
Match each polynomial expression to is additive inverse
Answer:
hope you get it ........
here is a screenie of the answer !!
. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Answer: B. 350.
Step-by-step explanation:
Given: Total number of fluorescent colors = 7
Total number of pastel colors = 5
Since , he want three fluorescent colors and two pastel colors.
Number of ways to select r things out of n things = [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Number of ways to choose colors = [tex]^7C_3\times\ ^5C_2[/tex]
[tex]=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350[/tex]
Hence, the correct option is B. 350.
The upper-left coordinates on a rectangle are (-5, 6), and the upper-right coordinates are (-2, 6). The rectangle has a perimeter of 16 units. Draw the rectangle on the coordinate plane below.
Answer:
Step-by-step explanation:
Given the upper-left coordinates on a rectangle as (-5, 6), and the upper-right coordinates as (-2, 6), the distance between the two coordinates will be equal to the length of one side of the rectangle. Using the formula for calculating the distance between two points as shown;
D = √(x2-x1)²+(y2-y1)²
The the upper left coordinates be A (-5, 6) and the upper right coordinates be B(-2, 6).
AB = √(-2-(-5))²+(6-6)²
AB = √(-2+5)²
AB = √3²
AB = 3 units = Breadth of the rectangle
Give the perimeter of the rectangle to be 16 units, we can get the length of the rectangle using the formula;
Perimeter of a rectangle = 2(L+B)
16 = 2(3+L)
16 = 6+2L
10 = 2L
L = 5units
The length of the triangle is 5units
Find the diagram of the rectangle on the coordinate plane in the attachment below.
SOMEONE PLEASE HELP!!!!
Answer:
This is an arithmetic sequence with a common difference d of -5
Step-by-step explanation:
When you find out d, you realize the difference between the numbers to be -5. Since it is d and not common ratio r, it is an arithmetic sequence.
g(x) = x2 + 2x - x - 2
Hope this image helps you :)
solved in addition and use multiplication!! PLEASE HELP ASAP!
Answer:
First by 3, second by -2.
Step-by-step explanation:
You need to get the x-factor to the smallest common multiple of 4 and 6, which is 12.
But also, if you add both, they should cancel out the x term, i.e.,:
-12x + 12x = 0
You get that by multiplying by 3 and -2, respectively.
The right triangular prism has a volume of 1,152 cm3. A right triangular prism has a volume of 1,152 centimeters cubed. The triangular bases have 2 sides with lengths of 12 centimeters. The hypotenuse length is not given. The height of the prism is x centimeters. What is the value of x, the height of the prism? 6 8 12 16
Answer:
16 cm
Step-by-step explanation:
A "right" prism is one that has the planes of the lateral faces perpendicular to the plane of the base. Here, we assume your "right triangular prism" is one that has a right triangle as a base, because you mention the "hypotenuse."
The area of the base is ...
A = (1/2)bh = (1/2)(12 cm)(12 cm) = 72 cm²
The volume of the prism is ...
V = Bh . . . . where B represents the area of the base
Filling in the numbers, we have ...
1152 cm³ = 72 cm²×h
h = (1152/72) cm = 16 cm
The height of the prism is 16 cm.
Answer:
16 cm
Step-by-step explanation:
The price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48. which of these is a true statemnt
Answer:
Store T sells apples at the lowest rate
$1.16
Step-by-step explanation:
which of these is a true statemnt
Store R sells apples at the lowest rate
Store T sells apples at the lowest rate
Store s charges a lower rate than Store T
Store t charges the same rate as Store R
Given:
Store R= $1.20 per pound
Store S =$5.00 for 4 pounds
Store T=$3.48 for 3 pounds
Find the price of apple per pound
Store R=1.20 per pound of Apple
Store S=$5.00/4
=$1.25 per pound of Apple
Store T=$3.48/3 pounds
=$1.16 per pound of Apple
From the statements above,
Store T sells apples at the lowest rate
PLZ HELP 10POINTS EASY HELP!!!!!!!!!!
Answer:
2nd no is corret
Step-by-step explanation:
as altitude is defined as a st. line meeting its base forming 90degree angle.
Answer:
I think the second answer, JH is an altitude of GJI, is the correct answer.
Step-by-step explanation:
Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.
Hope this helps!
Can someone help me
Answer:
y=22cm
Step-by-step explanation:
using L×B=A where y is L
308=14y
y=308/14
y=22cm
Use long division to find the quotient below.
(4x3 + 2x2 + 50) / (2x+5)
The quotient of the equation 4x³ + 2x² + 50 ÷ 2x + 5 using long division method is 2x² - 4x
Long division4x³ + 2x² + 50 ÷ 2x + 5
[tex] \sqrt[2x + 5]{ {4x}^{3} + {2x}^{2} + 50 } [/tex]
2x² - 4x
_____________
= 2x + 5 | 4x³ + 2x² + 50
4x³ + 10x²
__________
- 8x² + 50
-8x² - 10
__________
40
Therefore,
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On a coordinate plane, a straight red line with a negative slope, labeled g of x, crosses the y-axis at (0, negative 7). A straight blue line with a positive slope, labeled f of x, crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2). Both lines intersect at (negative 3, negative 4). Which statement is true regarding the functions on the graph? f(–3) = g(–4) f(–4) = g(–3) f(–3) = g(–3) f(–4) = g(–4)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
We know that f(x) = g(x) where the two graphs intersect
f(-3) = g(-3)
Answer:
f(-3) = g(-3)
Step-by-step explanation:
did on edguniuty
Kevin cuts lawns during the summer months. He charges $10 plus $5 per hour. The algebraic model is C = 5h + 10, where C represents the total cost and h represents the hours worked. Use pencil and paper to create a table of values for hours worked from 1 to 5, incrementing h by 1 in each row.
Answer:
1 hour : 15 dollars
2 hours: 20 dollars
3 hours: 25 dollars
4 hours: 30 dollars
5 hours: 35 dollars
Step-by-step explanation:
Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.
the circumference of
of 6cm (use 3.14 for pi)
A. 37.68cm
B 18.84cm
C.9.42 cm
D-9.14 cm
Answer:
Option A
Step-by-step explanation:
Radius = 6 cm
Now, the circumference:
=> C = [tex]2\pi r[/tex]
=> C = 2(3.14)(6)
=> C = 37.68 cm
Answer:
A. 37.68cm
Step-by-step explanation:
C= 2πr = 2*3.14* 6cm= 37.68 cm
Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.
Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.
Step-by-step explanation: