Answer:
The 32th term is 127.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same. The general equation for an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which d is the common difference.
It can also be written as:
[tex]a_n = a_m + (n - m)d[/tex]
75th term is equal to 342, and the 4th term, 24, is equal to - 13.
This means that [tex]a_4 = -13, a_75 = 342[/tex]. We use this to find d. So
[tex]a_{75} = a_4 + (75 - 4)d[/tex]
[tex]342 = -13 + 71d[/tex]
[tex]71d = 355[/tex]
[tex]d = \frac{355}{71}[/tex]
[tex]d = 5[/tex]
Find the value of the 32th term:
[tex]a_n = a_m + (n - m)d[/tex]
[tex]a_{32} = a_{4} + (32 - 4)d[/tex]
[tex]a_{32} = -13 + 28(5) = -13 + 140 = 127[/tex]
The 32th term is 127.
Please help me math inequality grade 8
Answer: x > 2/3
Step-by-step explanation:
-1 - x/2 < x
Simplify:
-1/2x + 1 < x
Subtract x from both sides:
-1/2x + 1 - x < x - x
-3/2x + 1 < 0
Subtract 1 from both sides:
-3/2x + 1 - 1 < 0 - 1
-3/2x < -1
Multiply both sides by 2/(-3):
2/(-3) (-3/2) < 2/(-3) (-1)
x > 2/3
Help please thank you
Answer:
The answer is two dollars.
Step-by-step explanation:
She had 10.00 to begin with and she spent $4.25 and $3.75. If you add the money she spent, and then subtracted the 10 dollars she had to begin with she would have $2.00.
Need help asap!!!
Convert to exponential form
Answer:
B
Step-by-step explanation:
PLS HELP!
0.99 is what percent of 9.90?
Answer:
10%
Step-by-step explanation:
first let's write out the problem
0.99 is what percent of 9.90 = 0.99=9.90*x
We need to what c is so we would do the opposite operation of multiplication, division so we get,
0.99/9.90= .1
now we turn .1 into percent and get out answer
0.1= 10%
Answer:
Step-by-step explanation:
ahh that's like a math tongue twister :P
so just remember that when you are given the final amount, as the 0.99 is, then you want to divide by the total, like this
0.99 / 9.90 =
we don't really need a calculator for this, b/c you can see that the answer will come out to a one, but, where is the decimal, huh
my calculator put the decimal here 0.1
so that's 10% right? which totally makes sense.. right? 0.99 is 10% of 9.90... just move the decimal one place in the 9.9 to get .99 see? so that kinda helps us know where the decimal goes in the answer, if that make sense? The decimal gets moved one place to the LEFT of the one, in our answer when we just did the math in our head.
anyway.. leave a comment if you have more questions :)
Question 7. Jose has scored 874 points on his math tests so far this semester. To get an A for the semester, he must score at least 959 points. Part 1 Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests. What is the inequality. What is the solution to the inequality
Answer:
Step-by-step explanation: How many more points does he need to get to 959
The point (0,0) on a coordinate grid is called
Answer:
origin
hope this helps!
Step-by-step explanation:
Answer:
Origin
Step-by-step explanation:
The origin of the graph (0,0) is the point where the two y and x axes intercept.
The origin determines every other point of the graph.
Hope this helps!
state whether the number is a solution to the given inequality
7/12 > 9/16
Answer:where the numbers ? like a.3,b.5 somethin like that
Step-by-step explanation:
but its True
7/12>9/167
0.583333>0.053892
true
27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle
Answer:
[tex]Area = 3500[/tex]
Step-by-step explanation:
Given
[tex]Length : Breadth = 7 : 5[/tex]
[tex]Perimeter = 240m\\[/tex]
Required
Determine the area
The perimeter is:
[tex]Perimeter = 2(Length + Breadth)[/tex]
This is then represented as:
[tex]240 = 2(7x + 5x)[/tex]
[tex]240 = 2 * 12x[/tex]
[tex]240 = 24x[/tex]
[tex]10 = x[/tex]
[tex]x = 10[/tex]
So, the area is:
[tex]Area = Length * Width[/tex]
[tex]Area = 7x * 5x[/tex]
[tex]Area = 7*10 * 5*10[/tex]
[tex]Area = 3500[/tex]
need help with thiss guys!!!
Represent 42 divided by 6 = 7 using subtraction
Answer:
42 - 6 - 6 - 6 - 6 - 6 - 6 - 6 = 0
or
42 - 7 - 7 - 7 - 7 - 7 - 7 = 0
A triangular pyramid has a base area of 74 square inches and a height of 9 inches. Which is closest to the volume of the pyramid?
a 351 cubic inches
b 702 cubic inches
c 224 cubic inches
d 234 cubic inches
Answer:
702
Step-by-step explanation:
because 74 x 9 = 666 and 702 is close
What is the multiplicative inverse of y?
Answer:
The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
Step-by-step explanation:
Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.
Let the multiplicative inverse of y be represented by a, so that;
a x y = 1
ay = 1
divide both sides by y to have,
a = [tex]\frac{1}{y}[/tex]
Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
This is applicable to any given value. Examples:
i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].
⇒ 2 x [tex]\frac{1}{2}[/tex] = 1
ii. What is the multiplicative inverse of 5?
The required answer is [tex]\frac{1}{5}[/tex].
ASAP PLZ I WILL GIVE BRAINLIEST
The sum of a number and twenty-one is shy-four What is the value of the number? The number equals
Answer:
43
Step-by-step explanation:
64-21= 43
Answer:
The answer is 43
Step-by-step explanation:
21+x=64 x=64-21 x=43
Find the x intercept for the graph, 3x-14y+12=0
Pls Help! This is due today! Find the value of x:
Answer:
x = 23
Step-by-step explanation:
the sum of all interior angles of triangle is 180 dehrees.
top angle = 180-100 = 80 degrees
80 + 51 + (2x+3) = 180
2x+3 = 49
2x = 46
x = 23
How to do 264 in Expanded form
Answer:
200+60+4
Step-by-step explanation:
200+60+4=264
A chemist wishes to mix a solution that is 12% acid. She has on hand 6 liters of a 4% acid solution and wishes to add some 16% acid solution to obtain the desired
12% acid solution. How much 16% acid solution should she add?
Complete the table.
Liters of
Solution
Percent Acid Liters of
(as a decimal) Pure Acid
0.04
6
Х
0.16
0.12
Answer:
25 liters of the 16% solution should be added.
Step-by-step explanation:
pure acid amount + pure acid amount = total pure acid amount
0.02*10 + 0.16*x = 0.12*(10+x) <<<---=== it is your balance equation; x is the amount (in liters) of the 16% solution.
0.02*10 + 0.16x = 0.12*10 + 0.12*x
0.16*x - 0.12*x = 0.12*10 - 0.02*10
(0.16 - 0.12)*x = 0.12*10 - 0.02*10
x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.
Answer. 25 liters of the 16% solution should be added.
Check. %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture. ! Correct !
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?
Answer:
15
Step-by-step explanation:
60×1÷4=15(1/4)
60-15=45
45×2÷3=30(2/3)
45-30=15
What is the perimeter of the triangle?
Answer: 3y + 5 cm
Step-by-step explanation: The perimeter of a triangle
is just the distance around the outside of the figure.
So just add up all the sides.
So we have y + y + y + 5 and we get 3y + 5.
The sum or two numbers is 59. the larger number is 15 more than the smaller number. What are the numbers
Answer: 37 and 22
Step-by-step explanation:
x + y = 59
x = 15 + y (substitute x as 15 + y into the first equation)
15 + y + y = 59
2y + 15 = 59
2y = 44
y = 22
substitute y as 22 into one of the equations
x = 15 + 22
x = 37
Determine the number of x-intercepts that appear on a graph of eac
f(x) = (x + 1)(x - 3)(x - 4)
A square has vertices at the points A(-4,-4), B(-5,-4), C(-5,-3), and D(-4,-3). What is the area of this square? A. 1 square unit B. 4 square units C. 9 square units D. 2 square units
Answer:
Step-by-step explanation:
The length of AB = 1 unit.
area of square = 1² unit² = 1 square unit.
Answer:it is 1
Step-by-step explanation:
Help plz....................
Answer with explanation:
y+1 = 26 ; y = 26-1 = 25
x-2 = 19 ; x = 19+ 2 = 21
I hope im roght!!
Please help when Kevin bought a new office phone, he borrowed $1,200 at a rate of 18% for 9 years
Answer:
where is the rest of the questions
Round 117.22666 to the nearest tenths
Answer:
117.2
Step-by-step explanation:
Rounding a number to the nearest tenth:
A number rounded to the nearest tenth will have one decimal place.
To do this, we look at the second decimal digit.
If it is less than 5, the first decimal digit is kept.
Otherwise, one is added to the first decimal digit.
In this question:
117.22666
The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.
So, the number rounded to the nearest tenth is 117.2.
4. Aaliyah swims at an average speed of 8 meters per second, how long will it
take her to complete the race of 200 meters' length? *
6. Cynthia walks 6 miles at a rate of 2 miles
per hour. How long will it take her to
arrive at her destination?
Answer:
3
Step-by-step explanation:
6 / 2 = 3 hours
Al abrir su alcancía Beatriz encontró que entre monedas de 5, 10 y 25 centavos completaba $ 9.50. Encontró igualmente que el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos. ¿Cuántas monedas de cada denominación había en la alcancía?}
Answer:
67 monedas de 5, 34 de 10 y 11 de 25.
Step-by-step explanation:
Representemos el primer enunciado de manera algebraica:
[tex]5x+10y+25z =950[/tex] (1)
Donde:
x es el numero de monedas de 5y es el numero de monedas de 10 z es el numero de monedas de 25Ahora, el número de monedas de 10 centavos era el triple de las de 25 centavos y que las de 5 centavos era el doble de las de 10 centavos, se puede representar como:
[tex]y=3z[/tex] (2)
[tex]x=2y[/tex] (3)
Combinado las eacuaciones (1), (2) y (3) tenemos:
[tex]5(2y)+10y+25(\frac{y}{3}) =950[/tex]
[tex]10y+10y+\frac{25}{3}y =950[/tex]
[tex]\frac{85}{3}y =950[/tex]
[tex]y =34[/tex]
Por lo tanto el valor de x y z seran:
[tex]x=2(34)[/tex]
[tex]x=68[/tex]
[tex]z=11[/tex]
Si ponemos cada valor en la equacion (1), tenemos:
[tex]5(68)+10(34)+25(11) =955[/tex]
Como el resultado da 955 hay un excedente de 5 pesos, asi que finalmente tendremos.
x = 67
y = 34
z = 11
Espero te haya serrvido!
In which equation does X have a value of 25 A) 2 ( x - 25) = 25 B) 1/5 X + 20 = 25 C) 0.5 X + 12 = 25 D) -4X -75 = 25
Answer:
B
Step-by-step explanation:
1/5x +20 = 25
1/5x = 5
x = 25
Answer:
B
Step-by-step explanation:
A) 2(x-25)=25 x=25 2(25-25)=25 2(0)=25 No
B 1/5x+20=25 x=25 1/5*25=5 5+20=25 Yes
B is the answer! I hope this helped ^^
How many sevens are there is 3500
Answer:
there are no seven in there
Answer:
500
Step-by-step explanation:
3500/7