Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
2. Suppose that four times the square of a number equals 20 times that num-
ber. What is the number?
3. Twice the square of the sum of a number and 3 is 98. Find the number. help me in number 2 and 3 please
Answer:
2. the answer is 5 because the square of 5 is 25 and 4 x 25 = 100 which is 20 x 5
Step-by-step explanation:
We are required to find the unknown number from the expression
2.
let
the number = x
four times the square of a number equals 20 times that number
4x² = 20x
Divide both sides by 4x
x = 5
The number is 5
3.
let
x = the unknown number
Twice the square of the sum of a number and 3 is 98
sum of a number and 3 = x + 3
square of the sum = (x+3)²
Twice the square = 2(x + 3)²
2(x + 3)² = 98
2(x² + 6x + 9) = 98
2x² + 12x + 18 = 98
2x² + 12x +18 - 98 = 0
2x² + 12x - 80 = 0
x² + 6x - 40 = 0
using factorization method to solve the quadratic equation
x² + 10x - 4x - 40 = 0
x(x + 10) - 4(x + 10) = 0
(x + 10) ( x - 4) = 0
x + 10 = 0 or x - 4 = 0
x = -10 or x = 4
Therefore, the unknown number is -10 or 4
Read more:
https://brainly.com/question/19952256
145 over 1000 in simplest form
29/200. 145 / 5 = 29, and 1000 / 5 = 200. 29 is a prime, so that's the lowest you can go: 29/200.
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.
225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
Answer:
(3)(-225) and -225(3).
Step-by-step explanation:
First, since ¨in debt¨ is describing negative value, all of the expressions that have positive 225 is incorrect. Also, since the term ¨triple¨ is describing multiplcation, any expression that does not have multiplication is also incorrect. This process of elimination leads to two answers, which both are correct.
Answer:
A. 225(3)
B. (3)(–225)
C.–225 + 3
D. 3 – 225
E. –225(3)
Step-by-step explanation:
Edge 2021
HELP I GIVE BRAINIEST
Answer:
137.5
Step-by-step explanation:
A publisher sells 10⁶ copies of a new book. Each book sells 10² pages. How many pages total are there in all of the books sold? Write the answer using exponents.jkkjnjnjn
−7.5(x−3)=3.75 What is the value of x? Enter your answer as a decimal.
Answer:
x=2.5
Step-by-step explanation:
Write the equation in Slope Intercept form for the line that passes through (5,-7) and is perpendicular to the y-axis. m= _______ Equation: ________________________________
Answer:
35
Step-by-step explanation:
Answer:
y=-7
m=0
Step-by-step explanation:
y=mx+b
line is perpendicular to y axis and passes through point(5,-7)
which means that our line equation is y=-7
so y=0*x-7
so m=0 and b=-7
Please help with these questions!!
Answer: 308
Step-by-step explanation: Divide 70 by 5 which is 14 and then 14 times 22 is 308
On a recent round of golf, Shana made par on 15 out of 18 holes. On what percent of holes did Shana make par?
Answer:
83.333333....
Step-by-step explanation:
Do 15 / 18 = .83333...
then move the decimal 2 to the right
plz help me it du within 30 minutes
Answer:
b. $5.20
pls give me brainlist
HELP I NEED THIS ANSWER ASAP OR I FAIL
PLEASE
Answer: A
Step-by-step explanation:
Jocelynn paid $3.01 for an item which cost $34.80 before sales tax is applied. If the sales tax remains the same, how much money, to the nearest cent, will she pay for a $100 item.
"Suppose you are making baked ziti for a family party. The recipe serves 4 and calls for 2.5 teaspoons of
oregano, but there are 16 people coming to dinner. How many teaspoons of oregano will you ned to serve 16 people?
Answer:
10 teasoons of oregano
Step-by-step explanation:
16/4 = 4
2.5 x 4 = 10
A.
B.
C.
D.
look at the picture ^^
Answer:
C, he did not divide properly .
Step-by-step explanation:
I have no idea what the answer is please help soon
3a^4b^3
This is the answer
A+b; when a =12 and b =4
Answer:
16
Step-by-step explanation:
a+b
12+4
16
Answer:
16
Step-by-step explanation:
put the values of a and b in the equation and get sum of it
A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents the new position of the submarine in relation to sea level?
(Negative 750 + 4) times 50
Negative 750 minus 4 times 50
Negative 750 + 4 times 50
750 + 4 times (negative 50)
Answer:Negative 750 minus 4 times 50
Step-by-step explanation:
Answer:
C ( Negative 750 + 4 times 50)
Step-by-step explanation:
Just did it on e d g e n u i t y and got it correct!
How do you solve 2(y + 1) – 2 = 4 + 2y - y
Answer:
y=4
Step-by-step explanation:
2(y+1)-2=4+y
2y+2-2=4+y
2y=4+y
2y-y=4
y=4
Answer:
y=4
Step-by-step explanation:
So first of all you do distrabutive property when you do that you get 2y+2-2=+2y then you combine the like terms than when you do that you should get y=4
I hope this helps!
A scale model of a building has a height of 1/5 meter. The scale of the model is 1cm=0.5m. What is the height of the building?
Answer:
2000 meters
Step-by-step explanation:
first you have to convert the meters into centimeters so then 1cm=100 cm
1/5 meter=20 cm
20*100=2000
2000 centimeters or 20 meters
hope this helps
brainliest?
How many meters are equivalent to 3 kolomiters
Answer:
3000 meters
Step-by-step explanation:
1 kilometer = 1000 meters
3 kilometers = 3(1000 meters)
3 kilometers = 3000 meters
Hope this helps!!!
6/18
Write each ratio as a fraction in lowest terms
Answer:
1/3
Step-by-step explanation:
If you want to write the fraction in its lowest terms, all you have to do is simplify!! Simplifying is easy; all you have to do is divide on the top and bottom of the fraction by the same number.
So, to simplify 6/18, figure out what the highest number is that can go into both numbers in the fraction. For this problem, the highest number is 6.
6 divided by 6 is 1.
18 divided by 6 is 3.
The simplified answer comes out as 1/3...you can also check it by multiplying 1 and 3 by 6.
1 multiplied by 6 is 6.
3 multiplied by 6 is 18.
So, 6/18 in lowest terms is 1/3!!
I hope you understood...have a great day :)
Yi Min is a pitcher on her softball team. This season,
she has allowed an average of 0.8 hits per inning
pitched. If Yi Min pitched 60 innings this season,
how many hits did she allow?
A
75
B
0.013
0.021
48
Answer:
48
Step-by-step explanation:
0.8 times 60= 48
Answer: 48 ^_^
Step-by-step explanation:
Flight Distances
Chicago O'Hare is a busy international airport. The map shows the flight distance from
Chicago O'Hare to several cities. Lee conjectured the flight distance from Chicago to
Istanbul is the same as the flight distance from Chicago to Sao Paulo when the distances
are rounded to the nearest thousand.
To Beijing
5,784 miles
5,784 miles
S
6,579 miles
Chicago, Illinois
Istanbul, Turkey
Beijing, China
5,252 miles
Sao Paulo, Brazil
4. Construct Arguments Describe at least one way you could
construct an argument justifying Lee's conjecture.
Answer:
4. Given that the distance from one place to another are placed in ranges of a thousand, then the distances from Sao Paulo to Chicago Illinois which is 5,252 miles and from Chicago Illinois to Istanbul Turkey which is 5,784 miles will be in the same 5,000 kilometer distance range and both distances will taken as the same distance
The same situation can also be arrived at by rounding down both distances
Step-by-step explanation:
The given information are;
The flight distances given;
From Sao Paulo to Chicago Illinois = 5,252 miles
From Chicago Illinois to Istanbul Turkey = 5,784 miles
From Beijing China to Chicago Illinois = 6,579 miles
Lees conjectured the flight distance from Chicago to Istanbul is the same as the flight distance from Chicago Sao Paulo when the distances are rounded to the nearest thousand
Placing the distances in ranges of 1000, we have the 5,252 miles and the 5,784 miles will be in the same 5,000 to 5,999 miles range.
A men's shoe size is related to his foot length and can be modeled by the equations s=1.7f -7.2, where s is shoe size and fis foot length, in inches. What is the shoe size of a man whose foot measures 9 inches?
Answer:
B. 8
Step-by-step explanation:
Given the equation, [tex] s = 1.7f - 7.2 [/tex],
where,
s = shoe size,
f = foot length,
To determine the shoe size of a man that has a foot length (f) of 9 in, substitute f = 9 into the equation.
[tex] s = 1.7f - 7.2 [/tex]
[tex] s = 1.7(9) - 7.2 [/tex] (substitution)
[tex] s = 15.3 - 7.2 [/tex]
[tex] s = 15.3 - 7.2 [/tex]
[tex] s = 8.1 [/tex]
His shoe size is approximately 8 inches
The points (10, w) and (3, 1) fall on a line with a slope of 0. What is the value of w?
Answer:
w = 1
Step-by-step explanation:
If the slope is 0, then this line will be horizontal.
This means that the y value will be the same for all points on the line.
Since we are given the point (3, 1), we know that the y value is 1. This means all other points on the line will have 1 as the y value.
So, w is equal to 1 because it is the y value in that ordered pair.
What is the value of y?
Answer:
y=31
Step-by-step explanation:
Supplementary angles, the total degrees would be 180, so to get y you would do 180-149=31
Answer:
92°
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PLS HELP ME I REALLY NEED HELP I DO NOT FEEL GOOD AND I HAVE TO MCUH WORK...pls? (7th grade work)
Answer:
see below
Step-by-step explanation:
65 - 32 = 13
13 divide by 65 = 0.20
0.20 x 100% = 20%
so the percentage drop is 20%
therefore, Marcus is correct.
What is the importance of function in real life?
Answer:
it's not important.........
Lakeview in 72 miles from Springfield Irania must go to the law library in Springfield to get A document for the law firm for which she works Find how long it takes her to dive round trip if she average 52 mph.
Answer:
3.5 hours
Step-by-step explanation:
2*77/44=154/44=3.5 hours
Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).
Answer Choices
A. 1
B. -1
C. 0
D. 1/2
Answer:
B. -1
Step-by-step explanation:
Use the slope formula to find the slope m .
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (3, - 5)
m = [tex]\frac{-5+3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 → B