Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
At the start of the experiment substance is measured to be 90°C, and by the end of the experiment its temperature is measured as -50°C. How does the temperature change from the start to the end of the experiment? Represent a decrease in temperature with a negative number.
Answer:
-140C
Step-by-step explanation:
∆T = T2-T1
∆T = -50-90= -140C
PLEASE HELP ME
Factor the quadratic equation x2 + 2x – 15 into the following format: (x + a) (x -b)
Answer:
(x+5) (x-3)
Step-by-step explanation:
5 times -3= -15
5 + -3 = 2
George has 52 coins in quarters and nickels. He has a total of $3.60. How many quarters does he have?
there are 36 quarters.
Let the number of nickels be x
Let the number of quarters be y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
nickels x $0.05 $0.05x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 52 ----- $3.60
The first equation comes from the second column.
x + y = 11
The second equation comes from the last column.
0.05x + 0.25y = 3.60
Get rid of decimals by multiplying every term by 100:
5x + 25y = 360
So we have the system of equations:
x+y=52
5x+25y=360
We solve by substitution. Solve the first equation for y:
x + y = 52
y = 52 - x
Substitute (52 - x) for y in 5x + 25y = 360
5x + 25(52 - x) = 360
5x + 1300 - 25x = 360
-20x + 1300 = 360
-20x = -940
x = = 5 the number of nickels.
Substitute in y = 52 - x
y = 52 - (5
y = 47 quarters.
The number of quarters is 52-x or 52-5 or 47 quarters.
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Answer:
70x
Step-by-step explanation:
8x8 = 64x then +6x = 70x
Answer:
[tex]2x(4x+3)[/tex]
Step-by-step explanation:
The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.
So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.
Find the value of x. 42 58 x
Answer:
38 48
Step-by-step explanation:
2) translation: 1 unit right and 2 units down
I thought of a 2-digit number. It's a multiple of 9 and the sum of its digits is five times smaller than the number itself. What is my number?
Step-by-step explanation:
Since the sum of the digits must be an integer, the number itself must also be a multiple of 5.
Lowest common multiple of 5 and 9 = 45.
Therefore the number could be 45 or 90.
5(9 + 0) =/= 90, so 90 is incorrect.
Since 5(4 + 5) = 45, 45 is the answer.
Answer: 45
Step-by-step explanation:
We know that it has to be a 2-digit number. Its the multiple of 9. We see there is a number in the question. Five. I simply took 9 and multiplied it by 5 which gave me a total of 45.
Find the slope and y-intercept of 5x – y = 7. Reduce all fractions.
slope = - Ô =
y-intercept =
B
Answer:
slope= ( 5,1 ) Y-intercept= ( 0,-7 )
Step-by-step explanation:
give the answer of this question by using prime factorization in exponential form 486×768
Answer:
its 373248
Step-by-step explanation:
I got this by 2squared 9 and 3squared 6
Johnathan's salary for a four-week period was $7,396.00. What is the weekly salary?
Answer:
$1,849
Step-by-step explanation:
7,396/4=1,849
James and Kris are in the school play. James has 42 lines to memorize, which is 6 times
as many as Kris. Which equation shows how to find out how many lines Kris has?
Answer:
6k=42
Either one ill still answer the equation
Step-by-step explanation:
Let K = Kris
42=6k
2 1/4w =6 3/4 answers pls hurry
Answer:
3
Step-by-step explanation:
3 * 2 1/4 = 6 3/4
Tell which number is greater.
1/3, 30%
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
70 i am 100 percent sure
Step-by-step explanation:
1:10
7 70
[tex]8 \sqrt{72} [/tex]
how to solve ??
Answer:
[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]
48√2 is the right answer.A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
I’ll give you BRAINLEST PLEASE HELP
Answer:
Help with what?
Step-by-step explanation:
5 pts
Question 17
A right triangle has a base of 3m and a height of 4m. What is the area of
the triangle if it has been dilated by a scale factor of 2?
*Hint: Area =
base height
2
O 12m
O 24m
O 10m
O 6m
9514 1404 393
Answer:
(b) 24 m²
Step-by-step explanation:
After dilation by a factor of 2, the base is 2×3 m = 6 m, and the height is 2×4 m = 8 m. Then the area of the dilated triangle is ...
A = 1/2bh
A = 1/2(6 m)(8 m) = 24 m²
2. This graph shows the solution for which inequality below?
10 20 30 40 50 60 70
80 90 100
A. = 25
B. 3x < 150
c x<10
D. 2x > 100
2
(A) A
в) В
( c) С
D
Answer:
the aswer would be B because x<50 therefor the highst posible value for x is 49 and 3x49 is 147 which is less than 150
Jayden and Jacques went to the park to play. They were gone for an hour and fifteen minutes. They ot home at 12: 30 pm. What time did they leave for the park?
Answer:
11 : 15 am
Step-by-step explanation:
one hour before 12:30 pm is 11:30 am
15 minutes before 11:30 am is 11:15 am
Answer:
11:15
Step-by-step explanation:
To solve this question we basically have to subtract 1 hour and 15 minutes from 12:30.
1230
- 0115
-------------
11:15 a.m.
So the answer would be they left for the park at 11:15 a.m.
In conclusion, Jayden and Jacques left for the park at 11.15 a.m.
plz give me brainliest :)
I need help with this
anyone know the answer??
Answer
[tex]3.5 x 10^{3}[/tex]
Step-by-step explanation
John's goal is to have more than -7−7minus, 7 dollars in his bank account by the end of the month. The variable ddd is the number of dollars in John's bank account at the end of the month
Answer:
tricky picky question pal,
Step-by-step explanation:
What are the awnswes
Answer:
d > -7.
Step-by-step explanation:
Someone please help me with this I really don’t know how to do this.
Answer:
Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Step-by-step explanation:
First we will find slope of the graph.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to find two points from the graph to find the slope.
Let we take point 1 (-2,1) and point 2 (1,2)
We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]
Now finding slope of the graph
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]
So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Now, we will find slope of Linear function.
It has x-intercept of 1 and y-intercept of -2
x-intercept means y=0
So, the point will be: (1,0)
y-intercept means x=0
So, the point will be: (0,-2)
We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]
So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
Now, we need to find which of the slope is steeper.
The larger the value of slope, more steeper it is:
Now, comparing the slopes:
The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
We know that, [tex]\frac{1}{3}>-2[/tex]
So, Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
Lauren has a bag containing 6 red, 8 blue, 5 green, 9 yellow, and 2 white marbles that are all the same size and shape. What is the probability or randomly choosing a white marble on the first pick, not replacing it, and then randomly choosing a green marble on the second pick?
Answer:
can someone give us the answer if its independent or dependent
Step-by-step explanation:
A car is traveling at a steady speed. It travels 2 1/2 miles on 3 1/3 minutes. How will it travel in 43 minutes? 1 hour?
Answer:
32.25 miles in 43mins
45miles in an hour
Step-by-step explanation:
Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles
Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles
Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles
PLS HELP!! answer the pic below
help me!!!!!!!!!!!!!
Answer: 17
Step-by-step explanation:
2 x2 is 4 4+13 is 17
PLEASE FAST SHOW YOUR WORK AND GIVE ANSWER FOR BRAINLIEST AND 15 POINTS
what is the value of 4(2f-3d)+2(2d+e)
Answer:
8f - 8d + 2e
Step-by-step explanation:
8f-12d+4d+2e = 8f - 8d + 2e
Answer:
−8d+8f+5.436564
Step-by-step explanation:
Let's simplify step-by-step.
4(2f−3d)+2(2d+2.718282)
Distribute:
=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)
=8f+−12d+4d+5.436564
Combine Like Terms:
=8f+−12d+4d+5.436564
=(−12d+4d)+(8f)+(5.436564)
=−8d+8f+5.436564
Answer:
=−8d+8f+5.436564