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Answer:
smallest: 8x -3 = 4; 1y +9 = 2. total = -49/8
largest: 1x -9 = 8; 2y +3 = 7. total = 19
Step-by-step explanation:
If we use variables to represent the box contents, we can write ...
ax -b = cdy +e = fThen the values of x and y are ...
x = (c +b)/a
y = (f -e)/d
For positive integer values of the variables, x will always be positive, and y may or may not be negative.
Smallest sumFor the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.
x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for
8x -3 = 4 ⇒ x = 7/81y +9 = 2 ⇒ y = -7For these coefficients, the sum is -6 1/8 = -49/8.
(note that the values of 'b' and 'c' can be swapped with no net effect)
Largest sumFor the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for
1x -9 = 8 ⇒ x = 172y +3 = 7 ⇒ y = 2For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.
_____
Additional comment
These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.
Answer:
Smallest: 8x-3=4; 1y+9=2. total= -49/8
Largest: 1x-9=8; 2y+3= 7. total= 19
Step-by-step explanation:
#CARRYONLEARNINGWrite a system of equations to describe the situation below, solve using substitution, and fill in the
blanks
Whitney wrote a business plan for an entrepreneurship class, and now she has to make bound
copies. Whitney could use a printer who charges a setup fee of $44 and $7 for every copy printed.
Another possibility is to go to the office supply store, where she could pay an up-front fee of $34
and $8 per copy. There is a certain number of copies that makes the two options equivalent in
terms of cost. How many copies is that? How much would the copies cost?
For
copies, the cost is $
Can u help me please??
Answer:
Let C represent the total cost of each deal
Let T be the number of trips down the water slide
C = 32 for the 1st deal since the cost is the same regardless of how much she rides
C = 18 + T for the 2nd deal
To find when the two costs are equal set them equal to each other and solve for T
32 = 18 + T
T = 14 trips
The cost must be $32 since that is the only cost possible for the 1st deal
Step-by-step explanation:
The amounts of money Brittany earned each week from babysitting for 5 weeks are $12, $62, $70, $54, and $62. The mean amount earned is $52 and the median amount earned is $62. Identify the outlier and describe how the mean and median are affected by it.
Answer:
The outlier is $12, results in a decrease in the mean. Outliers have little influence on the median.
If you actually calculate and try and find an outlier, this dataset doesn't have one. But I'm going to assume they're just looking for an extreme number in the set since it clearly says to identify it
The requried outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The outlier in this data set is the first observation of $12, which is significantly lower than the rest of the values.
The mean is calculated by adding all the values and dividing by the number of values. In this case, the mean is:
$12 + $62 + $70 + $54 + $62 = $260
$260 ÷ 5 = $52
When the outlier of $12 is included in the calculation, it significantly lowers the mean.
The median is the middle value when the data set is arranged in order from least to greatest. In this case, the median is $62, which is not affected by the outlier of $12.
Therefore, the outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.
Learn more about medians here:
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Find the equation of the line.
Answer:
y= x - 5
Step-by-step explanation:
The equation of a line is generally y=mx+b.
m= the slope, b= the y-intercept
By looking at the graph we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, you can find the slope with the slope formula:
m=y2−y1/x2−x1
Plug in (5,0) and (0,-5):
m= -5 - 0 / 0 - 5
m = -5/-5
m = 1
The slope is equal to 1. You can also confirm this by looking at the graph where the line intercepts each point "up one point, over one point." This is known as the "rise over run."
Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.
So plug these numbers into the line equation, y=mx+b:
m= 1
b= -5
y= mx+5
y= (1)x + (- 5)
y= x - 5
Voila!
The equation of the line is equal to y= x - 5
The general equation of a line is;
y=mx+b.
Where m= the slope, b= the y-intercept
Since we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, we can find the slope with the slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]
Substitute in (5,0) and (0,-5)
m= -5 - 0 / 0 - 5
m = -5/-5
m = 1
Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.
So, substitute numbers into the line equation, y=mx+b:
y= mx+5
y= (1)x + (- 5)
y= x - 5
Learn more about linear equations;
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I don’t know what to do this is the last question!!!
Answer:
5/8 miles
Step-by-step explanation:
2 1/4 - 2 5/8 = 2 2/8 - 2 5/8 = 5/8
Hope this helps!
If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56
Answer:
Th correct option is (d).
Step-by-step explanation:
The given expression is :
[tex]16x^2 + nx + 49[/tex] ....(1)
We know that, 16 = 4² and 49 = 7²
Also, (a+b)² = a²+2ab+b²
The given expression becomes,
[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]
Comparing equations (1) and (2),
n = 56
Hence, the value of n is equal to 56.
If right get brainly!! 20 points!!
TR (N)*2
or in other words triangle number of N times 2
Answer:
NEDD POITS SERY
Step-by-step explanation:
In a class of 35 students 1/5
of total students like to play cricket, 2/5 of students like to play football, remaining students like to play volleyball
i) How many students like to play cricket
ii) How many students like to play football?
iii) How many students like to play volleyball?
if you answer correctly you wil get brainliest plus 10 points
if you give wrong answer your wrong answer will be reported
only people who know maths well can give correct answer.
Good luck
Answer:
7 play cricket
14 play football
21 play volleyball
Step-by-step explanation:
The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions
Answer:
1-9 the answer is -8of the circle
Step-by-step explanation:
In the following figure determine the volume of the triangular prism
A.192cm3
B.384cm3
C.296cm3
D.322cm3
A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest
tenth of a foot.
9514 1404 393
Answer:
a. 5√3 ft
b. 8.7 ft
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area:
s = √A
s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)
s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden
which fraction have the greatest value 5/6, 1/6 -1/6, -5/6?
9514 1404 393
Answer:
(a) 5/6
Step-by-step explanation:
Positive numbers are greater than negative ones.
Fractions with the same denominator are greater if their numerator is greater.
All of these fractions have the same denominator. Because 5 > 1 > -1 > -5, the ordering of the fractions is ...
5/6 > 1/6 > -1/6 > -5/6
The fraction with the greatest value is 5/6.
Find the value of x. Round to the nearest.
Answer:
Solution given:
perpendicular [P]=x
base[B]=9
hypotenuse [H]=41
Now.
By using Pythagoras law
H²=P²+B²
41²=x²+9²
x²=41²-9²
x=[tex]\sqrt{1600}=40[/tex]
x=40 is a required answer.
Can someone help me please faster
-5<3 true or false llssss answer I need to knowwwwww
Answer:
True
Step-by-step explanation:
Because this sign < eats the 3
Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length
of the third side?
Answer:
third side must be between 3 and 11, non-inclusive
Step-by-step explanation:
Triangle Inequality Theorem:
sum of any two sides must be greater than the third
4 + 7 > x; x < 11
4 + x > 7; x > 3
third side:
3 < x < 11
12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help
Answer:
4.54 x 1010
Hope this helps!
solve all for brainiest
Answer:
A 9
B 4.5
C 4.5
D 2.25
Step-by-step explanation:
I need to be 20 letters long so ya
Sonia ran 6 miles more than twice as far as Brian if the total number of milesso you ran 6 miles more than twice as far as Brian if the total numbers of Miles run by both is 33 how far did each one run.
Answer: Brian ran 9 miles
Sonia ran 24 miles
Step-by-step explanation:
Let's Brian's distance be represented by x.
Since Sonia ran 6 miles more than twice as far as Brian. This will be:
= (2 × x) + 6
= 2x + 6
Therefore,
x + 2x+6 = 33
3x + 6 = 33
3x = 33 - 6.
3x = 27
x = 27/3
x = 9
Brian ran 9 miles
Sonia ran = 2x+6 = 2(9).+ 6 = 18+6 = 24 miles
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
A) (x, y) → (x + 5, y – 3)
B) (x, y) → (x + 5, y + 3)
C) (x, y) → (x – 3, y + 5)
D) (x, y) → (x + 3, y + 5)
Answer:
C
Step-by-step explanation:
Any time you move up or down, it affects the "y" coordinate, and going up is positive so 5 units up is [tex]y + 5[/tex].
Moving left or right affects the "x" coordinate and moving left is negative so
[tex]x - 3[/tex]
[tex](x - 3, y + 5)[/tex]
Hence, C is the correct answer
please help me out on this one
Try this triangle: 3ft, 4ft, and 1 ft
Is the first plus second greater than the third? Is 3+4> 1? ________
Is the second plus third greater than the first ? is 4+1 >3?___________
Is the third plus first greater than the second? Is 3+1 >4_________
Can it make a triangle? Explain why?
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Answer:
yes, yes, no; No
Step-by-step explanation:
We have to assume you have no trouble with single-digit addition and comparison of two numbers.
3+4 > 1 ⇒ 7 > 1 . . . . yes
4+1 > 3 ⇒ 5 > 3 . . . . yes
3+1 > 4 ⇒ 4 > 4 . . . . no
These lengths will not make a triangle because the triangle inequality is not satisfied.
_____
Additional comment
You will notice that we found the result of interest when we added the two smallest numbers (1 and 3) and compared the sum to the largest number (4). This is a shortcut you can use for any "will these make a triangle" question. You don't need to bother comparing larger numbers to smaller ones. You already know they are larger.
PLEASE HELP ME ILL GIVE BRANLIEST I HAVE A BIT OF TIME LEFT
Consider the following dot plot. Of the following statements, which two characteristics of the dot plot make the median a better choice than mean to summarize the center of distribution?
Answer:
where is question? You are only showing answer.Compute the product using (a) the definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights, and (b) the row-vector rule for computing Ax. If a product is undefined, explain why.
Answer:
When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.
When the number of columns in A [tex]\neq[/tex] the number of rows in B.
The matrix-vector is not defined.
Step-by-step explanation:
For example:-
Step 1:
Let's assume
[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2 & [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1
Since matrix multiplication of matric A and matrix B is only possible,
When the number of columns in A = Number of rows in B.
Step 2:
Let's A as m x n; Here m = rows and n=columns
B as p x q; Here p = rows and q=columns.
When n [tex]\neq[/tex] p, the matrix-vector is not defined.
That is matrix multiplication Ax is not possible.
Hence the matrix is not defined.
Plsss help me Brainlist!!
I believe the answer to this is:
Mean: 8.7 minutes
Median: 9 minutes
Hope this helps! :D
Select the correct answer from each drop-down menu. In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d. The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.
Answer:
Given:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.
Step-by-step explanation:
Assume that y varies inversely with the
square of x, then solve.
When x is 5, y is 4/5. Find y when x is 8.
Answer:
y = 5/16
Step-by-step explanation:
[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]
d + 5.5 = 10. Solve for d.
Answer:
d=4.5
Step-by-step explanation:
d+5.5=10
d=10-5.5
d=4.5
Hope this is helpful
P varies inversely with the
square of Q. When Q is 8, P is 9.
Find the value of P when Q is 3.
The required value of P would be 64 for the given linear relationship.
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
Given that P varies inversely with the square of Q
P = k/Q²
As per the question, if Q is 8 and P is 9,
So 9 = k/8²
⇒ 9 = k/64
Apply cross-multiplication operation,
⇒ k = 576
If Q is 3, then
⇒ P = 576/3²
⇒ P = 576/9
Apply division operation, and we get
⇒ P = 64
Thus, the required value of P would be 64.
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Pleaseeeeee Helppp meee!
Answer:
20!
Step-by-step explanation:
1. 20 = 10 + 10
2. 20 = 40 - 20
3. 20 = 2 × 10
4. 20 = 40 ÷ 2
5. 20 = 10 + 6 + 4
6. 20 = 5 × 4
7. 20 = ?
8. 20 = 60 ÷ 3
ohh someone already answered
1. 20 = 15 (square) + 5 (circle)
2. 20 = 26 (square) - 6 (circle)
3. 20 = 5 (square) × 4 (circle)
4. 20 = 17 (square) + 3 (circle)
5. 20 = 8 (square) + 8 (square) + 4
6. 20 = 5 (square) × 4
7. 20 = 2 × 20 (square) - 20 (square)
8. 20 = 60 ÷ 3 (circle)
9. 8 × 6 = 39 + 9 (circle)
10. 7 × 6 = 49 (square) - 7 (circle)
11. The problems with 2 of the same shape,
#5 and #7and problems with only one shape,
#6, #8 and #9.The problems with two alike shapes means that, since they have to be
the same number, there is no room for modification, or increasing the
value of one shape and subtracting the same transformation from the
other.
With problems #6, #8 and #9, the singular shapes work as a variable in
an expression, with usually only one making the identity true.
12.
1. 20 = 7 (square) + 13 (circle)2. 20 = 1000 (square) - 980 (circle)3. 20 = 20 (square) × 1 (circle)4. 20 = 2 (square) + 18 (circle)10. 7 × 6 = 4901 (square) - 4859 (circle)Which expression is the radical form of x^3/4
Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? 359+558 Round the two numbers to the nearest ten. An estimate of the sum is:______. The actual sum is How reasonable is your estimate when compared to the actual answer? A. Not reasonable. The estimate seems too low compared to the actual answer B. Reasonable. The estimate seems a little tower compared to the actual answer. C Reasonable. The estimate sooms a little higher compared to the actual answer. D. Not reasonable. The estimate seems too high compared to the actual answer
Answer: C. Reasonable. The estimate sooms a little higher compared to the actual answer
Step-by-step explanation:
The actual answer to 359+558 is 917. On the other hand, 359 to the nearest ten is 360 while 558 to the nearest ten is 560. The addition of the numbers will be: = 360 + 560 = 920
The estimated answer is 920 while the actual number is 917. Therefore, the estimate is reasonable as the estimate sooms a little higher compared to the actual answer.
