Sum of 8th & 4th terms of an AP = 24
Sum of 6th & 10th terms = 44
Find:A.P.
Solution:We know that,
nth term of an AP = a + (n - 1)d
Hence,
⟹ a + (8 - 1)d + a + (4 - 1)d = 24
⟹ a + 7d + a + 3d = 24
⟹ 2a + 10d = 24 -- equation (1)
Similarly,
⟹ a + 5d + a + 9d = 44
⟹ 2a + 14d = 44 -- equation (2)
Subtract equation (1) from (2).
⟹ 2a + 14d - (2a + 10d) = 44 - 24
⟹ 2a + 14d - 2a - 10d = 20
⟹ 4d = 20
⟹ d = 20/4
⟹ d = 5
Substitute the value of d in equation (1).
⟹ 2a + 10(5) = 24
⟹ 2a = 24 - 50
⟹ 2a = 24 - 50
⟹ 2a = - 26
⟹ a = - 26/2
⟹ a = - 13
We know,
General form of an AP is a , a + d , a + 2d...
Hence,
⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...
⟹ required AP = - 13 , - 8 , - 3....
I hope it will help you.
Regards.
At a quiz competition for every question team A answered correctly team B answered 2 questions correctly. The ratio of the number of questions team A answered correctly to the number of questions team B answered correctly is ___ 1 to1 2 to 1 1to2 2to2
Answer:
1 to 2
Step-by-step explanation:
If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2
Answer:
The answer is 1 to 2 i did the quiz on flvs
Step-by-step explanation:
Find the measure of the missing angle
m<1=
Answer:
i just want points to upload a post sry
Step-by-step explanation:
Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m
m
m
please help i'm stuck :,)
Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.
Answer:
14 minutes below or 6 minutes above
Step-by-step explanation:
Let's say Sophia's time was 10 minutes WORSE
4 minutes below average- 10 minutes= 14 minutes below average
Let's say Sophia's time was ten minutes BETTER
4 minutes below average + 10 minutes= 6 minutes above average.
Hope this helps!
14 minutes below the average
6 minutes above the average
=====================================================
Let A = average running time
Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.
Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.
We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.
-------------
Let's plug in J = A-4 and solve for S
|S-J| = 10
|S - ( J )| = 10
|S - (A-4)|
|S-A+4| = 10
S-A+4 = 10 or S-A+4 = -10
S-A = 10-4 or S-A = -10-4
S-A = 6 or S-A = -14
S = A+6 or S = A-14
The equation S = A+6 shows Sophia is 6 minutes above the average
The equation S = A-14 shows Sophia is 14 minutes below the average
-------------
Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.
If A = 20, then Jacob's time is J = A-4 = 20-4 = 16
If the average running time is 20 minutes, then Jacob ran for 16 minutes.
If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)
If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)
This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.
Item 5 In the number 7.7592, how does the value of the 7 in the ones place compare to the value of the 7 in the tenths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 7 in the ones place is Response area the value of the 7 in the tenths place.
Answer:
100 timesStep-by-step explanation:
Given the decimal number 7.7592
The value of the 7 in the ones place is 7 tens i.e 10
The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1
Comparing both values
We will compare both values by finding their ratios as shown;
ratio = value of the 7 in the ones place/value of the 7 in the tenth place
ratio = 10/0.1
ratio = 100
Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"
Answer
100 timesStep-by-step explanation:Given the decimal number 7.7592
The value of the 7 in the ones place is 7 tens i.e 10
The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1
Comparing both values
We will compare both values by finding their ratios as shown;
ratio = value of the 7 in the ones place/value of the 7 in the tenth place
ratio = 10/0.1
ratio = 100
Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"
Which rational number equals 0 point 1 with bar over 1?
See attachment for math work and answer.
You have prizes to reveal! Go to your game board.
A hummingbird lives in a nest that is 12 feet high in a tree. The hummingbird flies 13 feet to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?
Answer:
1 foot?
Step-by-step explanation:
You subtract 13 from 12 to get the base divider.
PLEASE HELP I WILL GIVE YOU 13 POINTS
Answer:
I think it would be C.
Step-by-step explanation:
For y [tex]\geq[/tex] the line should be solid and it should be shaded above the line because ≥ means greater than.
For y > the line should be dashed and it should be shaded above the line because it means greater than.
For y [tex]\leq[/tex] the line should be solid and it should be shaded below the line because it means less than.
For y < the line should be solid and it should be shaded below the line because it means less than.
Hope this helps!
a fair coin is tossed 14 times, what is the probability of exactly 6 heads
Answer:
42.85% or 6/14
Step-by-step explanation:
6 / 14 = 0.428571428571
0.428571428571 * 100 ~ 42.85%
Can I get Brainliest?
Finance Application. Tony earned $8.25 per hour at his after school job. Each week he earned $80. Write and solve an equation to show how many hours he worked each week.
Answer:
9.6969 hours
Step-by-step explanation:
8.25x = 80
x = 9.6969 hours
[-4.5 + 12] = what is the anserw
Answer:7.5
Step-by-step explanation:
Answer:
The answer will be 8.5
The following numbers are arranged in ascending order. Their median and mean are same .Find the value of x: 4, 7 ,x + 1, x+ 3 ,x + 4, 14, 16
Answer:
x=7
Step-by-step explanation:
(4+7+x+1+x+3+x+4+14+16)/7=x+3
(11+x+1+x+3+x+4+14+16)/7=x+3
(49+3x)/7=x+3
49+3x/7=x+3
49+3x=7x+21
49=4x+21
28=4x
x=7
Solve 2x-4 = -2-2+2x
and
Solve 5x-9 = 8+5x
Answer:
1. 0=0
2. 0=17
Step-by-step explanation:
What is the value of sec A (include steps)
Answer:
17/15
Step-by-step explanation:
Sec A = 1/ Cos A
Cos A = Adjacent / Hypotenuse
1/Cos A = Hypotenuse / Adjacent
So, Sec A = Hypotenuse/Adjacent
= AB/AC
= 17/15
Answer:
17/15
Step-by-step explanation:
Secant is the inverse of cosine.
Cosine is the adjacent side divided by the hypotenuse.
cos A = 15/17
sec A = 17/15
−2(x+1/4)+1=5 PLEASE HELP
Answer:
x = -2 1/4
Step-by-step explanation:
-2(x + 1/4) + 1 = 5
-2x - 1/2 + 1 = 5
-2x + 1/2 = 5
-2x = 5 - 1/2
-2x = 4 1/2
-x = 2 1/4
x = -2 1/4
Hope this helps!
Let me know if I'm wrong :)
two questions in 1 more points added
Answer:
13
Step-by-step explanation:
The square root of 169 is 13
Answer:
The first one is 64
and for the second one i cant really see it, but it should be 4 radical 10
If you can finish this sentence and get it right you be brainliest
"I can show you the _____ shining, shimmering, splendid"
Answer:
world
Step-by-step explanation:
Answer:
world
Step-by-step explanation:
"I can show you the world shining, shimmering, splendid"
help me plaseeeeeeeeee
Answer:
it would be b
Step-by-step explanation:
A plece of wood has a volume of 30 cm. It has a length of 2 cm and a width of 3 cm. What is the height of the wood?
5 cm
60 cm
15 cm
6 cm
Answer:
HERE IS YOUR ANSWER
Step-by-step explanation:
volume = length × width × height
30 = 2 × 3 × h
30 = 6h
5=h
It is 5 cm high
Hope it helps you
Regards,
Rachana
Every relation that is linear, must also be a function true or false
Answer:
In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).
Step-by-step explanation:
I hope this helps, sorry if it doesn't good luck
It is false that Every relation that is linear, must also be a function.
Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.
Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.
Thus, It is false that Every relation that is linear must also be a function.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
What vocabulary term describes symbols that represent numbers whose quantity we don't know?
Answer:
variable
Step-by-step explanation:
3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11
Answer:
x = 3, y = 0, z = −2
Step-by-step explanation:
PLEASE HELP WITH THESE
y- (-8) = (-5)
x + 21 = (-2)
x + 21 = (-2)
(-10) + r = (-2)
(-6) + b = 9
Step-by-step explanation:
1. y = -3
2. x= -23
3. r = 8
4. b= 15
PLEASE HELP ME I WILL FAIL IF YOU DON'T
Answer:
42 students
Step-by-step explanation:
70% of 100 students is 70 so 70 times 60%=4200. 4200/100=42
What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?
Answer:
16
Step-by-step explanation:
Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}
Answer: No
Step-by-step explanation: Multiple Y values come from the same X value, which means its not a function.
Answer:
No
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.
Which inequalities are true? Select the four correct answers
Will mark Brainiest
Answer:
see below
Step-by-step explanation:
1. 0 < √8 = true
2. √8 < 3 = true
3. √8 > √7 = true
4. √8 < 2 = false
5. √8 > 8 = false
6. 1 < √8 = true
Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,
0 < √8√8 < 3√8 > √71 < √8Hence, the inequalities that are true are 1, 2, 3 and 6.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ5
i need help on this
Answer:
2
Step-by-step explanation:
63/9 = 7 and -5 + 7 is the same thing as 7-5 so it's 2
Answer:
2
Step-by-step explanation:
[tex]\frac{63}{9} = 7[/tex] Plug 7 in: -5 + 7-5 + 7 = 2I hope this helps!
when three times a number which is positive is subtracted from the square of that number the answer is 28.find the number??
Answer:
1.94
Step-by-step explanation:
Let the number be x
So when three times a number which is positive which means when a number is x so three times a number must be 3x is subtracted from the square of that number ,
now the number 3x is subtracted from its own square i guess it should look like this
[tex](3x)^2-3x[/tex]
and the answer is 28 so the final form of the problem should be
[tex](3x)^2-3x=28[/tex]
[tex]9x^{2} -3x-28=0[/tex]
now we solve the quadratic equation by using the quadratic formula and we two values for x
one is a positive value and the other is negative value we take the positive value as said in the question itself "when three times a number which is positive" so that value of x is 1.94
I really need the answers or im dead
Answer:
graph it and all of the #s will be negitive
Step-by-step explanation:
Answer:
W: (1, 4)
X: (4, 4)
Y: (6, 2)
Z: (5, 1)
Step-by-step explanation:
Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)
J: (-4, 1) ⇒ W: (1, 4)
K: (-4, 4) ⇒X: (4, 4)
L: (-2, 6) ⇒ Y: (6, 2)
M: (-1, 5) ⇒ Z: (5, 1)