````````````````````````````````````````````````````````````````````````````````````````````
Answer:
14 miles
Step-by-step explanation:
make it into an equation 1.50x+3=24 then solve
If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n).
pth term of an AP = q
qth term = p
Prove:nth term of A.P. is (p+q-n).
Proof:We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a + (p - 1)d = q
⟹ a + pd - d = q
⟹ a = q - pd + d -- equation (1)
Similarly,
⟹ a + (q - 1)d = p
Substitute the value of a from equation (1).
⟹ q - pd + d + qd - d = p
⟹ qd - pd = p - q
⟹ - d(p - q) = p - q
⟹ - d = 1
⟹ d = - 1
Substitute the value of d in equation (1).
⟹ a = q - p( - 1) + ( - 1)
⟹ a = q + p - 1
Now,
an = q + p - 1 + (n - 1)( - 1)
⟹ an = q + p - 1 - n + 1
⟹ an = p + q - n
Hence, Proved.
I hope it will help you.
Regards.
Step-by-step explanation:
ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
Which pairs of numbers have a greatest common factor of 9
Answer:
81 and 72
Step-by-step explanation:
Answer:
81 and 72
Step-by-step explanation:
I need help with number 1 I don’t understand I’ll give BRAINLIEST to whoever helps me the best
Answer:
The answer is B.200
Step-by-step explanation:
145.93×1.37=199.9
We need to multiply because the second team takes the times as longer than the first team. The answer is 200 because we need to roundup 199.9 into 200
Hope it helps :)
if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 .
Answer:
is that supposed to be a question
Need help filling out the chart for #3
Answer:
Slope intercept equation= y2-y1 over x2-x1
When to use= You know the slope and any point
3x + 9 = 2x + 5
One Solution
No Solution
All real numbers
Find all solutions to 3x2 + 2x + 1 = 0
Answer:
x = -3.5
Step-by-step explanation:
3 x 2 + 2x + 1 = 0
6 + 2x + 1 = 0
2x + 7 = 0
2x = -7
x = -7/2 = -3.5
Hope this helped! If not, please let me know! <3
Robert conducts an experiment to measure the temperature of a solution. Due to a defect in the apparatus, the temperature of the solution measured in each trial is 5°F more or less than the theoretical temperature of 11°F of the solution.
The following absolute value equation can be used to determine the temperature of the solution measured by Robert:
|x − 11| = 5.
Here, x represents the measured temperature of the solution in degrees Fahrenheit.
Based on the above information, what is the temperature of the solution as measured by Robert?
A.
The temperature of the solution measured by Robert is 5°F or 6°F.
B.
The temperature of the solution measured by Robert is -6°F or 6°F.
C.
The temperature of the solution measured by Robert is -6°F or -16°F.
D.
The temperature of the solution measured by Robert is 16°F or 6°F.
Give another name for line JK.
Answer:
indecsaty
Step-by-step explanation:
the indecsaty of the line more known as a slope is the other name
A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?
Answer:
170
Step-by-step explanation:
you have to set up a proportion and cross multiply.
[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]
that would cross multiply to
[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]
which would simplify to
[tex]1020 = 6x[/tex]
then, you isolate x by dividing 6 from both sides to get the final answer of
[tex]170 \: miles = x[/tex]
How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?
Answer:
about 3000
Step-by-step explanation:
Write two hundred twenty-two and six thousand five hundred seventeen ten-thousandths as a decimal number.
Answer:
222.617
Step-by-step explanation:
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answer:hope it helps,
Step-by-step explanation:
Which statement about the lines below is true? 4y=-16 and 3x=27
Answer:
4y=16 is true if you do the problem you can see it wont work and i simplified and got the answer
Step-by-step explanation:
Which values are outliers?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
0.8 Outlier
1.1 Outlier
10.2 Not Outlier
10.9 Not Outlier
A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.
B. Is the point (1, 60) on this graph? Yes or no. Explain how you know
Answer/Step-by-step explanation:
A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.
B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.
Calculating slope of the line using (3.5, 210) and (5, 300):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]
[tex] slope(m) = \frac{90}{1.5} [/tex]
[tex] slope(m) = 60 [/tex]
Calculating the rate of change (slope) between (1, 60) and (3.5, 210):
[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]
[tex] = \frac{150}{2.5} = 60 [/tex]
Rate of change (slope) = 60
Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.
The answer is, YES.
simplify show your work
What is the coefficient of the term below?
– 5x²yt
Enterlu
-
Answer:
The coefficient is: *-5*
in the -5x.
Step-by-step explanation:
Kay needs to fix part of her fence.She can buy 6 feet of fencing for $32.00 at a fencing store or 10 feet of fencing for $52.50 at a home store.She visits another store that sells 8 feet of fencing for a certain cost.The cost per foot is between that at the fencing store and the home store.How much the store charge for 8 feet of fencing?
Answer
42.66
Step-by-step explanation:
each foot is 5.33 so 5.33 x 8 is 42.66
A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.
Answer:
2
Step-by-step explanation:
Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.
Each of the small squares is to be painted either green or red
The total numbers of the possible cases are:
(1) The number of cases if there is no green color square = 1 (all red)
(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).
(3) The number of cases if there is 2 green color square = 2+4=6 as
for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).
(5) The number of cases if there is 4 green color square = 1 (all green)
So, the total numbers of possible cases = 1+4+6+4+1=16.
Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)
So, the total numbers of favorable cases = 2
Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.
I listed possibilities:
1 Green Square:
RG
RR
2 Green Squares:
RG
RG
GG
RR
3 Green Squares
GG
RG
4 Green Squares
GG
GG
0 Green Squares
RR
RR
The side length of the square shown is tripled.
3 cm
Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area? How
much greater?
The percent of increase for the
is greater
It is
% greater
Answer:
The percentage increase for the area is greater
It is 600% greater
Step-by-step explanation:
Here, we have a square of side length 3 cm
The area of the square is L^2 = 3^2 = 9 cm^2
Perimeter of the square = 4L = 4 * 3 = 12 cm
When we triple the length of the square, its new length becomes 3 * 3 = 9 cm
Area here will be 9 * 9 = 81 cm^2
Perimeter = 4 L = 4 * 9 = 36cm
To calculate percentage change, we use the formula;
(new value - old value)/old value * 100%
For the perimeter;
(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%
For the area;
(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%
The percentage increase of the area is greater
How much greater? 800% - 200% = 600%
True or False: These two equations are equivalent
5x + 18 = 32
18 = 80
(x - 3)? > -3(x + 2) for x = 3
Answer:
The Left side (0) is greater then the right side (-15)
Step-by-step explanation:
(x - 3) is greater than -3(3+2)
Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny
the correct answer is c. hope this helped
HELPPP me pleaseeeeeeeeeee
Answer: Y=104
Step-by-step explanation: Angle 1 is 2x which means it is 76, 180-76 gives you 104
What is the value of 120?
Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5
What algebraic expression could represent the average of 2x, x + 3, and 6x?
Answer:
3x+1
Step-by-step explanation:
(2x+x+3+6x)/3
9x+3/3
3x+1
The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.
This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.
Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.
In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
Write the equation of the line that passes through the given points.
(0,4) and (5,10)
Answer: y = 6/5x + 4
Step-by-step explanation: The equation is in form y = mx + b, where m is the slope and b is the y-intercept. You already have the y-intercept, which is 4. To find the slope, use rise over run. y2 - y1 / x2 - x1 = 10-4/5-0 = 6/5.