Answer: - [tex]\frac{451}{25}[/tex]
Step-by-step explanation:
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
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Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $2.12 or the 14-ounce box for $2.74?
The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
First, we have to find the price for each ounce.
So for the 10-ounce box:
⇒ 2.12 / 10
Apply the division operation,
⇒ $0.212 per ounce.
Now for the 14-ounce box:
⇒ 2.74/ 14
Apply the division operation,
⇒ $0.19 per ounce.
Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21
Therefore, the 14-ounce box is cheaper at a cost of $2.74.
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STAN LOONA FOR A BETTER LIFE OR ELSE U WILL BE SINGLE FOR THE REST OF UR LIFE
We as we see this question is quite simple
first we find the vocabulary which is in simple text slang and convert it formally to english...
Next we find that this question makes no sense so g'day
Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?
Answer:
4.38, aka 219/50
Step-by-step explanation:
20 plants were measured and their heights recorded in cm. Here are the heights: b) Draw a fre 8.2 6.5 2.7 19.4 to represe 16 14.1 17.1 14 8 4.9 2.9 15.5 7.3 15 4.4 11.8 13.9 7 10.2 4.6 19.5 7.3 6 . Ол о a) Complete the frequency table. Height, h cm Frequency 0
The required frequency table as
Heights, h cm Frequency
0 < h ≤ 5 5
5 < h ≤ 10 4
10 < h ≤ 15 6
15 < h ≤ 20 5
What is the frequency of an observation?The frequency of a variable value is the number of times it appears in a particular observational series or data.
A variable's frequency is always a positive integer.
Here the heights in the condition of 5 < h ≤ 10 appear as 4.
Here the heights in the condition of 10 < h ≤ 15 appear as 6.
Here the heights in the condition of 15 < h ≤ 20 appear as 5.
The required frequency table as
Heights, h cm Frequency
0 < h ≤ 5 5
5 < h ≤ 10 4
10 < h ≤ 15 6
15 < h ≤ 20 5
Thus, the required frequency table of the given observation is above.
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find the measure of each angle indicated
Answer:
91°
Step-by-step explanation:
The angles are consecutive interior angles (CIA) which add up to 180°.
180 - 89 = 91
helppppppppppp i hv 5 mins
Answer: 342.5 miles
Step-by-step explanation:
Distance = Speed x Time
Speed(mph) Time(hr) Distance(miles)
55 x 3.5 = 192.5
60 x 2.4 = 150
Total Distance (miles) = 342.5 miles
help me with this one guys......
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.
help.......................................................
Answer:
Down here ↓↓↓↓↓↓
Step-by-step explanation:
Anything below 1 is a reduce
Anything above 1 is an enlarge
Anything equal to 1 is a preserve
1. Reduce, 0.75 < 1
2. Reduce, 4/5 < 1
3. Enlarge, 4.2 > 1
4. Preserve, 8/8 = 1
5. Enlarge, 7/2 > 1
6. Preserve, 1 = 1
7. Reduce, 0.1 < 1
8. Enlarge, 1 2/3 > 1
9. Enlarge, 12 > 1
-Chetan K
14. Choose the best description of the polynomial:
5y2 + 4y + 24.
A. 5th degree Trinomial
B. 3rd degree Binomial
C. 2nd degree Trinomial
D
4th degree Binomial
solve the proportion (someone pls help)
Answer:
y = 16
Step-by-step explanation:
11y = 2(24 + 4y)
11y = 48 + 8y
3y = 48
y = 16
A ship leaves a port and travels 21km on a bearing of 32 and then 45km on a bearing of 287 calculate its distance from the port and the bearing of the port from the ship
Answer:
44.5 km on a bearing of 134.1°
Step-by-step explanation:
A suitable vector calculator will tell you the location of the ship from port is ...
21∠32° +45∠287° = 44.5∠-45.9°
The bearing of the port is in the reverse direction, so 180° added to this:
180° +(-45.9°) = 134.1°
The distance from port is 44.5 km. The bearing of the port is 134.1°.
_____
Additional comment
The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...
c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83
≈ 44.5 km
The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.
B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°
so, the bearing angle from the ship to the port is ...
180° +(32° -77.9°) = 134.1°
__
Bearings are measured clockwise from north. A diagram can be helpful.
Find the distance between the points
a. 3
b. 4
c. 5
d. 6
Answer:
B. 4
Step-by-step explanation:
is 6,8,10 a pythagorem theorem? pls help me due rn
Answer:
Should be
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
Using the formula a^2+b^2=c^2, take the square of 6 (6x6=36) and 8 (8x8=64) and add them together to get the square of 10 (10x10=100) 64+36 does equal 100. Remember that the biggest number is c and the two sides a and b have to add to get c.
there are 50 students in a class and 30 of these students passed their social studies test. what percentage of these students passed their test.
Answer: 60 %
Step-by-step explanation:
Percentage of students passed the test = (number of students who passed the test / total number of students) x 100
= 30 / 50 x 100 % = 60 %
What is the range of this relation?
(-5,0)
(8,9)
(-10, 2)
(-1, -3)
Answer:
{0,9,2,-3}
Step-by-step explanation:
the range is all the ys.
these are all in the format (x, y)
Hope this helps.
PS-If it's a multiple choice question, the numbers might not be in the same order. just pick the one with those numbers.
The measure of ones angle of a triangle is 40. The measure of the other two angles are in a ratio of 3:4
Answer:
40, 60, 80
Step-by-step explanation:
angles are 40, 3x, 4x
40+ 3x + 4x = 180
40 + 7x = 180
7x = 180 - 40
7x = 140
x = 20
so the angles are 40, 60, 80
if we conduct 105 hypothesis tests at the 5% level, how many of them would be expected to be statistically significant just by chance alone
please help me 8x-3+4x+3
Answer:
12xStep-by-step explanation:
please help me 8x-3+4x+3
8x - 3 + 4x + 3 =
8x + 4x - 3 + 3 =
12x
Answer:
12x
Step-by-step explanation:
1. To simplify this expression, we must group like terms.
[tex](8x + 4x) + (-3 + 3)[/tex] [tex]12x + (-3+3)[/tex] [tex]12x[/tex]Therefore, the answer is 12x.
what number is 5 times greater then 6
Answer:
if you are talking about 5x6 then the answer would be 30 but if not please clarify :)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
6x5=30 so I believe the answer to your question to be 30
HELP pleaseeeeeeeeee
Answer:
Or is separate
And is together
How would the number of solutions for an equation with two variables differ from the number of solutions for an equation with only one?
Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions
Step-by-step explanation:
brainliest me
Help me solve this -> g(x) = 2x + 3
g(7)
Answer:
17
Step-by-step explanation:
g(7) = 2(7) +3
substitution
A number is between 14 and 19. It has prime factors of 2 and 3. What is the number
Answer:
18
Step-by-step explanation:
18devided by 3 is 6 and 18 divided by 2 is 9
The number that has prime factors of 2 and 3 is 18.
What are prime factors?
Prime factors are factors that are prime numbers. Prime numbers are numbers that are divisible by one and itself. Examples are 2 and 3.
What are the factors of the numbers between 14 and 19?
Factors of 15 = 1, 3, 5, 15 Factors of 16 = 1, 2, 4, 8, 16Factors of 17 = 1, 17Factors of 18 = 1, 2, 3, 6, 8, 16To learn more about factors, please check: https://brainly.com/question/26073850
Will give brainliest
See drawing attached below.
Corresponding angles and sides are congruent to each other. Thus,
∠L corresponds to ∠H
∠J corresponds to ∠P
HU corresponds to LO
PO corresponds to JU
LP corresponds to HJ
∠U corresponds to ∠O
Answer:
thanks for the points bye bye for now love u fin and I will
X(squared) + 16x +60=0
Solving quadric equations by factorising
Answer:
x = - 10, x = - 6
Step-by-step explanation:
x² + 16x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)
The factors are + 10 and + 6 , since
10 × 6 = 60 and 10 + 6 = 16 , then
(x + 10)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x + 6 = 0 ⇒ x = - 6
A rectangular field will be fenced on all four sides. There will also be a line offenses across the field, parallel to the shorter side. If 900 M of fencing are available, what dimensions of the field will produce the maximum area? What is the maximum area?
Answer:
Pretty sure the dimensions are 125.6 meters by 251.2 meters 31,550.72 square meters.
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
2.) find the slope a y-intercept of y=(-7x)-10
Slope = ________
y-intercept = _________
Answer:
Step-by-step explanation:
1.) The graph of y = -7x - 10 is a ______ that shows the ________ to the equation
I'm not sure what kind of response this question is seeking. I can only write:
1.) The graph of y = -7x - 10 is a linear equation that shows the ? slope and y-intercept to the equation
I don't think these are the answer sought, but it's the best I can think of at the moment.
2.) find the slope a y-intercept of y=(-7x)-10
The slope is -7 and the y-intercept is -10.
An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price
Answer:
$19.25
Step-by-step explanation:
Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75
Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.
An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.
Solve the equation 3x^2 - 2x - 10 = 0 . Show all your working and give your answers correct to 2 decimal places.
Answer:
[tex]x=-1.52,2.19[/tex]
Step-by-step explanation:
Hi there!
[tex]3x^2 - 2x - 10 = 0[/tex]
Use the quadratic formula:
[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] in the form [tex]ax^2+bx+c=0[/tex]
Plug in the a, b and c values
[tex]x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)} }{2(3)}\\\\x=\displaystyle\frac{2\pm\sqrt{4+120} }{6}\\\\x=\displaystyle\frac{2\pm\sqrt{124} }{6}\\\\x=\displaystyle\frac{2\pm2\sqrt{31} }{6}\\\\x=\displaystyle\frac{1\pm\sqrt{31} }{3}\\\\x=-1.52,2.19[/tex]
I hope this helps!