1. The possible solution for x + y is 8 ⇒ d
2. The possible solution for m - n is 16 ⇒ a
Step-by-step explanation:
Lets explain some notes about the even numbers
Their sum is evenTheir difference is evenTheir product is even1.
∵ x and y are both even whole numbers
∴ Their sum is even whole number
∵ 5 and 9 are odd numbers ⇒ impossible
∵ 4.6 is not a whole number ⇒ impossible
∵ 8 is an even whole number ⇒ possible
∴ x + y could be 8
The possible solution for x + y is 8
2.
∵ n and m are both even whole numbers
∵ m > n
∴ m - n must be positive even whole number
∵ 1/2 is not a whole number ⇒ impossible
∵ 0 is not a positive number ⇒ impossible
(zero is not positive nor negative)
∵ -2 is not a positive number ⇒ impossible
∵ 16 is a positive even whole number ⇒ possible
∴ m - n could be 16
The possible solution for m - n is 16
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60th term of the arithmetic sequence 4, -1 -6
Answer:
Step-by-step explanation:
d=-1-4=-5
[tex]t_{60}=4+(60-1)(-5)=4-295=-291[/tex]
Solve for x.
2(3x+8) = 40
Simplify your answer as much as possible.
Answer:
x = 4
Step-by-step explanation:
2(3x+8) = 40 (By PEDMAS, distribute parentheses first)
3x (2) + 8(2) = 40 (next do multiply)
6x + 16 = 40 (subtract 16 from both sides)
6x = 40 - 16
6x = 24 (divide both sides by 6)
x = 24/6 = 4
On his bicycle, Trevor rode 15 miles in 30 minutes. What was his average rate of speed?
Answer:
0.5 miles/min
Step-by-step explanation:
average speed = total distance / total time
= 15 miles / 30 min
= 0.5 miles/min
You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answer:
3 quarts of blue paint and 2 quarts of red paint
Step-by-step explanation:
Let
x ---> quarts of blue paint
y ---> quarts of red paint
we know that
You make 5 quarts of purple paint
so
[tex]x+y=5[/tex] ----> equation A
The ratio of of blue paint to red paint is
[tex]\frac{x}{y} =\frac{(1/2)}{(1/3)}[/tex]
[tex]\frac{x}{y}=1.5[/tex]
[tex]x=1.5y[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]1.5y+y=5[/tex]
solve for y
[tex]2.5y=5\\y=2[/tex]
Find the value of x
[tex]x=1.5(2)=3[/tex]
therefore
3 quarts of blue paint and 2 quarts of red paint
i need the answer to this question (geometry)
Answer:
11.3
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, so ...
x/8.25 = (4+11)/11
x = 8.25·(15/11) = 11.25
x ≈ 11.3 . . . . . rounded to one decimal place
need help with ixl please give right answer
What is often the overall goal of a statistical investigation?
The goal of a statistical investigation is to answer research questions by understanding phenomena through data analysis, which includes planning the study, examining the data with descriptive statistics, and making inferences to answer broader questions.
The overall goal of a statistical investigation is to understand phenomena and answer research questions using data. This involves several key components:
Ultimately, statistical investigations aim to use descriptive statistics and statistical inference to generate insights that can answer a wide range of research questions, especially when sophisticated numerical analysis is needed.
Of the 24,000 cellular phones inspected in the last production run , 50 were defective . What fraction of the cellular phones inspected was defective
Answer:
Step-by-step explanation:
24,000 inspected.....50 were defective
50/24,000 reduces to 1/480 <===
The sum of four consecutive multiples of 7 is 378. Find the numbers
Answer:i have no idea but go back to your math book and lesson and check :p
Step-by-step explanation:
Answer:
84, 91, 98, 105
Step-by-step explanation:
7x + 7 (x+1) + 7(x+2) + 7(x+3) = 378
28x + 42 = 378
28x = 336
x = 12
7x12, 7x13, 7x14, 7x15 i.e. 84, 91, 98, 105
check: 84 + 91 + 98 + 105 = 378
I need an answer ASAP I will thank you and give you a like!
The table below represents the function f(x).
x 0 2 4 6 8 10 12
f(x) 4.1 5.3 6.5 7.7 8.9 10.1 11.3
If g(x) is a linear function that contains the points (6, -2) and (3, 7), which statement is true?
A.
As x approaches positive infinity, f(x) and g(x) both approach negative infinity.
B.
As x approaches positive infinity, f(x) and g(x) both approach positive infinity.
C.
As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) approaches negative infinity, and g(x) approaches positive infinity.
Answer:
Option C. As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
Step-by-step explanation:
we know that
Observing the table
The function f(x) is a increasing function
As the value of x increases, the value of f(x) increases
so
As x approaches positive infinity, f(x) approach positive infinity
Find the slope of the linear equation g(x)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points (6, -2) and (3, 7)
substitute
[tex]m=\frac{7+2}{3-6}[/tex]
[tex]m=\frac{9}{-3}=-3[/tex]
The slope of the linear equation g(x) is negative
That means ----> Is a decreasing function
As the value of x increases, the value of g(x) decreases
so
As x approaches positive infinity, g(x) approach negative infinity
therefore
As x approaches positive infinity, f(x) approaches positive infinity, and g(x) approaches negative infinity.
24.94 is 29% of what number
Final answer:
To find the number that 24.94 represents 29% of, you set up the equation 24.94 = 0.29 × x and solve for x, yielding x = 86.
Explanation:
To find the number that 24.94 is 29% of, we can set up an equation. If 24.94 is 29%, then we are looking for the whole (100%). We represent the whole number with a variable, let's call it x. The equation is as follows:
24.94 = 0.29 × x
To solve for x, we'll divide both sides of the equation by 0.29,
x = 24.94 ÷ 0.29
Now, let's do the math:
x = 86
Therefore, 24.94 is 29% of 86.
What is the equation of a line that is parallel to the line with the equation y=2/3x+2 and passes threw the point 1,-1
The equation of line parallel to given line is: [tex]y = \frac{2}{3}x-\frac{5}{3}[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = \frac{2}{3}x+2[/tex]
As the line is in slope-intercept form, the co-efficient of x is the slope of the line
So,
[tex]m_1 =\frac{2}{3}[/tex]
Let m2 be the slope of required line
As both the lines are parallel,
[tex]m_1 = m_2[/tex]
So,
[tex]m_2 = \frac{2}{3}[/tex]
The slope intercept form of line is:
[tex]y = mx+b[/tex]
Putting the value of the slope
[tex]y = \frac{2}{3}x+b[/tex]
To find the value of b, putting (1,-1) in the equation
[tex]-1 = \frac{2}{3}(1) +b\\-1 = \frac{2}{3} +b\\b = -1-\frac{2}{3}\\b = \frac{-3-2}{3}\\b = \frac{-5}{3}[/tex]
Putting b=-5/3 in the equation
[tex]y = \frac{2}{3}x-\frac{5}{3}[/tex]
Hence,
The equation of line parallel to given line is: [tex]y = \frac{2}{3}x-\frac{5}{3}[/tex]
Keywords: Equation of line, slope
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What happened to my first question posed last night?
Answer:
it probably got deleted or you willl have to scroll a long way down to find it
Step-by-step explanation:
pleae mark brainliest just need 3 more
Which value below is included in the solution set for the inequality statement?
-3(x-4) > 6(x - 1)
3
-1
7
2
Option B:
–1 is the value included in the solution set
Solution:
Given inequality is –3(x – 4) > 6(x – 1).
⇒ –3x + 12 > 6x – 6
Add 3x on both sides of the expression.
⇒ –3x + 12 + 3x > 6x – 6 + 3x
⇒ 12 > 9x – 6
Add 6 on both sides of the expression.
⇒ 12 + 6 > 9x – 6 + 6
⇒ 18 > 9x
Divide by 9 on both sides of the expression.
⇒ 2 > x
⇒ x < 2
Therefore the solution set is x < 2.
In the given options 3 and 7 are greater than the solution set.
x < 2, so 2 is also not in the solution set.
–1 is the only value which is in the solution set x < 2.
Hence, –1 is the value included in the solution set.
the ratio of girls to boys in 6th grade is 3:4. If there are 182 6th graders, how many are girls
Answer:
78 girls
Step-by-step explanation:
Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio
Answer:
78 girls
Step-by-step explanation:
the person below me explained it
please answer asap.......
Answer:
"-" always means "less" or a "drop"
Therefore the answer is a drop of 8 meters (the first one)
Hope this helps! :]
Which square has a dark blue section that is 1/3 ×2/5 of a square?
Answer: B and d has a dark blue section that is 1/3 x 2/5 of a square
Step-by-step explanation:
Answer:
sorry was there suppost to be a picture with this? which dark blue square? or do we draw it ourselves?
Step-by-step explanation:
sorry i wish i could help :(
Kong took 15\%15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.
How many seconds did Nolan take?
Answer:
Nolan took 100 seconds.
Step-by-step explanation:
Given:
Kong took 15%, percent fewer seconds than Nolan took to complete his multiplication timed test.
Kong took 85 seconds.
Now, to find the number of seconds Nolan take to complete the test.
Let the number of seconds Nolan take be [tex]x.[/tex]
Kong took = 85 seconds.
As, given Kong took 15%, percent fewer seconds than Nolan took.
Now, to get the number of seconds Nolan took:
[tex]x-15\%\ of\ x=85[/tex]
[tex]x-\frac{15}{100} \times x=85[/tex]
[tex]x-0.15x=85[/tex]
[tex]0.85x=85[/tex]
Dividing both sides by 0.85 we get:
[tex]x=100.[/tex]
Therefore, Nolan took 100 seconds.
Answer:
100 seconds
Step-by-step explanation:
easy math
if steve throws a football 60meters in 3seconds what is the football speed ?
The football thrown by Steve has a speed of 20 meters per second, as it covers a distance of 60 meters in 3 seconds.
Explanation:To calculate the speed of the football that Steve throws, we can use the basic physics concept of speed which is the distance traveled divided by the time taken. Since Steve throws the football a distance of 60 meters in 3 seconds, the calculation for the speed v is:
v = distance / time = 60 meters / 3 seconds = 20 meters per second.
Therefore, the football is traveling at a speed of 20 meters per second.
Final answer:
The speed of the football thrown by Steve is 20 meters per second, calculated by dividing the distance thrown, 60 meters, by the time taken, 3 seconds.
Explanation:
If Steve throws a football 60 meters in 3 seconds, we can calculate the speed of the football by using the formula for speed: speed = distance/time. To find the speed of the football, we simply divide the distance Steve's throw covered by the time it took for the football to cover that distance.
The calculation is as follows:
Speed = Distance / Time
Speed = 60 meters / 3 seconds
Speed = 20 meters/second
Therefore, the speed of the football is 20 meters/second
51%, 0.57, 0.61, 6/10 least to greatest
Answer:
least is 51%
Step-by-step explanation:
so 51%, .57,6/10 and .61
250 people went to party at 9pm. 70 people left at 11pm.how many couples remain at the party? ar
Answer:
The answer is that 90 couples remained at the party after 11 pm
Step-by-step explanation:
Number of people who went to the couples only party at 9 pm = 250
Number of people who left the party at 11 pm = 70
How many couples remained at the party?
People that remained at the party = 250 - 70 = 180
Couples that remained at the party = 125 - 35 = 90
The answer is that 90 couples remained at the party after 11 pm
Solve proportion to x:
12/15=36/x
And then 160/10.
Don’t use a calculator show the work. PLEASE
Answer:
45
Step-by-step explanation:
12/15=4/5
4/5=36/x
cross product
5*36=4*x
180=4x
x=180/4
x=45
A sprinkler can spray 7 feet out and rotates in a circle to cover all directions. What is the total area covered by the sprinkler?
The sprinkler covers an area that is shaped like a circle, with its range as the radius. Using the formula for the area of a circle, πr², and substituting 7 feet for the radius, we find that the sprinkler covers approximately 154 square feet.
Explanation:The total area that the sprinkler covers can be found by considering the sprinkler's range as the radius of a circle. The formula to find the area of a circle is πr² where π (Pi) is a constant approximately equal to 3.14, and r is the radius of the circle. In this case, the radius of the area the sprinkler covers is 7 feet. So, we plug this value into the formula:
Area = π(7ft)²
Thus, the total area the sprinkler covers is approximately 154 square feet.
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9a-2b = -8
-7a + 3b = 12
A total of 631 tickets were sold for the school play. They were either adult tickets or student tickets. There were 69 fewer students tickets sold then adult tickets. How many adult tickets were sold?
Final answer:
To solve the problem, two equations were set up and solved for the number of adult tickets (A). The equations A + S = 631 and S = A - 69 led to finding that 350 adult tickets were sold for the school play.
Explanation:
The school play ticket problem is a basic algebraic question involving setting up and solving equations. We need to determine the number of adult tickets and student tickets sold, given the total tickets and the difference between them.
Let's denote the number of adult tickets as A and the number of student tickets as S. According to the information provided:
A + S = 631 (The total number of tickets sold)
S = A - 69 (There were 69 fewer student tickets sold than adult tickets)
By substituting the second equation into the first, we get:
A + (A - 69) = 631
2A - 69 = 631
2A = 631 + 69
2A = 700
A = 350
So, 350 adult tickets were sold.
PLEASE HELP/ANSWER! From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 1980?
The weight in 1980 is [tex]\frac{4k}{5}[/tex] kilograms
Solution:
From 1980 to 1990, Lior’s weight increased by 25%
His weight is "k" kilograms in 1990
To find: weight in 1980
This is a percentage increase problem
Let "x" be the weight in kilograms in 1980
The percentage increase is given by formula:
[tex]\text{Percentage increase } = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100[/tex]
Here,
Initial value in 1980 = x
Final value in 1990 = k
Percentage increase = 25 %
Substituting the values in formula,
[tex]25 = \frac{k-x}{x} \times 100\\\\25x = 100(k-x)\\\\x = 4(k-x)\\\\x = 4k - 4x\\\\5x = 4k\\\\x = \frac{4k}{5}[/tex]
Thus the weight in kilograms in 1980 is [tex]\frac{4k}{5}[/tex]
what does this equation equal
4=1/2x+3
Answer:
X=2
Step-by-step explanation:
FIRST YOU SUBTRACT 3 FROM BOTH SIDES:
4=1/2X+3
-3 -3
1=1/2X
THEN U DIVIDE BOTH SIDES BY 1/2:
1=1/2X
1/1/2=X
1*2/1=X
2=X
(03.04 LC) Write the equation of the graph shown below in factored form.
the graph starts at the bottom left and continues up through the x axis at negative four to a maximum around y equals three and goes back down through the x axis at negative three to a minimum around y equals negative eleven and back up through the x axis at negative one
A. f(x) = (x + 4)(x − 3)(x − 4)
B. f(x) = (x − 1)(x + 3)(x + 4)
C. f(x) = (x + 1)(x + 3)(x + 4)
D. f(x) = (x − 1)(x − 3)(x − 4)
Answer:
The equation of the graph in factored is [tex]C) f(x)=(x+1)(x+3)(x+4)[/tex]Step-by-step explanation:
From the graph given,
In order to find the equation, we need to consider the points where the curve cuts x- axis
From the graph, we have
[tex]x=-4, x= -3 \, and \, x= -1[/tex]
In factor form
[tex]x+4=0, \, x+3=0, \, and \, x+1=0[/tex]
Now, combine the factors above by multiplying together to form the equation, we have
[tex]f(x)=(x+1)(x+3)(x+4)[/tex]
Therefore, the equation of the graph in factored form is [tex]f(x)=(x+1)(x+3)(x+4)[/tex]
The question requires the equation of a graph in factored form, with the graph cutting the x-axis at -4, -3 and -1. These roots correspond to the factored form of the equation as f(x) = (x + 4)(x + 3)(x + 1). However, this equation is not listed among the choices provided. The correct option is C.
The question is asking for the equation of a graph in factored form. The graph cuts the x-axis at -4, -3, and -1.
This implies these are the roots of the equation. When a graph crosses the x-axis at a particular point, it implies the x-value of that point is a root (or zero) of the polynomial.
Therefore, the roots of the function are -4, -3, and -1. We can then convert these roots into factors by changing their signs and setting them as (x - root).
Therefore, the factored form of the equation would then be: f(x) = (x + 4)(x + 3)(x + 1). However, this equation is not listed among the choices. There might be a mistake the options provided.
It's always vital to carefully check the roots and ensure they correspond to the x values where the graph intersects the x-axis.
Therefor the correct option is C.
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Can anybody answer this question #13 and tell me how they got the answer.... thank you
Answer:
C 6
Step-by-step explanation:
The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.
Here, that means ...
NP/PQ = 2/1
NP = 2·PQ = 2·3
NP = 6
The sum of two numbers is 31. Twice the larger number is 7 more than three times the smaller number. What is the number
Answer: x=6
Step-by-step explanation:
3x+7+x=31
4x+7=31
-7 -7
4x=24
24/4= 6