Answer: -11/4
Step-by-step explanation:
The next term in this arithmetic sequence will be -11/4. The given sequence follows the arithmetic progression rule.
What is a sequence, exactly?It is described as a systematic method of describing data that follows a certain arithmetic rule.
The given sequence is;
7/2, 9/4, 1, -1/4, -3/2
The common difference is found as;
[tex]\rm \frac{9}{4} -\frac{7}{2} =\frac{-5}{4}[/tex]
The next term in this arithmetic sequence is found as;
[tex]\rm x- (\frac{-5}{4} )=\frac{-3}{2} \\\\ x=\frac{-3}{2} +\frac{-5}{4} \\\\ x=\frac{-11}{4}[/tex]
Hence,the next term in this arithmetic sequence will be -11/4.
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A circular garden has a radius of 7 feet, what is the area of the garden?
Answer:
49pi or 153.86
Step-by-step explanation:
Hope this helps. Pls give brainliest.
No, really, I can't figure it out.
mutiply -5 by 7
-35+9 ×[tex]\frac{5}{5}[/tex]
cancel the common factor of 5
-35+9×1
multiply 9 by 1
-35 + 9
add -35 and 9
- 26
A triangle is dilated with the resulting image appearing half as large as the original. Which rule best represents this dilation?
A. (x, y) (2x, 2y)
B. (x, y) (.5x, 2y)
C.(x, y) (x-.5, y-.5)
D. (x, y) (.5x, .5y)
Subject:Mathematics
The sum of the measure of angle M and angle R is 90°.
The measure of angle m is (5x + 10)°.The measure of angle R is 55°.What is the value of x?
Answer :The value of x is 5°Explanation :Given :∠M + ∠R = 90°∠M = (5x + 10)°∠R = 55°To Find :Value of x = ?Solution :We are given :
∠M + ∠R = 90°Value of ∠M = (5x + 10)°Value of ∠R = 55°So, by substituting value of ∠M and ∠R in ∠M + ∠R = 90°, we have :
[tex] \sf : \implies (5x + 10)\degree + 55 \degree = 90\degree[/tex]
[tex] \sf : \implies 5x + 10 + 55 = 90\degree[/tex]
[tex] \sf : \implies 5x + 65 = 90\degree[/tex]
[tex] \sf : \implies 5x = 90\degree - 65 \degree[/tex]
[tex] \sf : \implies 5x = 25\degree[/tex]
[tex] \sf : \implies x = \cancel{\dfrac{25\degree}{5}}[/tex]
[tex] \sf : \implies x = 5\degree[/tex]
[tex] \Large \underline{\boxed{\tt{x = 5\degree}}}[/tex]
Hence, value of x is 5°.
Roy has $30 in a savings account. The interest rate is 10% per year and is not
compounded. How much will he have in 4 years?
Answer:
$43.92
Step-by-step explanation:
1st year:
30 x 10% = 3
30 + 3 = 33
2nd year:
33 x 10% = 3.3
33 + 3.3 = 36.3
3rd year:
36.3 x 10% = 3.63
36.3 + 3.63 = 39.93
4th year:
39.93 x 10% = 3.99
39.93 + 3.99 = 43.92
PLS HELP !!
A total of 78 seats for a local concert are sold, producing a total revenue of $483.
If seats cost either $2.50 or $10.50, how many of the $2.50 seats were sold?
seats.
Part B
How many of the $10.50 seats were sold?
seats
Answer:
add them then multiply
Step-by-step explanation:
x³ - x² + x
GCF:____
Factor Out: ____
Answer:
Step-by-step explanation:
GCF=x
all the terms have x in it
Factor
x(x^2-x+1)
Im stuck, someone help!!!!!!
Answer:
I think its C im not really sure
Pls help! I think this is do today.
find the slope of the line that goes through (-4,2) and (3,-5)
Answer:
-1
Step-by-step explanation:
m = -7 / 7 = -1 / 1 = -1
Answer:
-1
Step-by-step explanation:
To find the slope given two points, use the formula: [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. In this case, the formula would be: [tex]\frac{-5-2}{3-(-4)}[/tex]. Solve the top first: -7. Solve the bottom next: 7. So your answer is: [tex]\frac{-7}{7}[/tex] or -1.
Hope it helps!
using a scale of 1 cm to represent 1 unit, made the
Is A (1,5), B(-1,-1). and C(5, -1) on graph
paper. Join the points to make the figure ABC. and
de cribe ABC
In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)
Answer:[tex]\frac{17}{35}[/tex]
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]
The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]
The probability that both sweets are the same flavor
[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]
Sandra wants to park her car so that she optimizes the distance she has to walk to the art museum and the library. That is, she wants to park so that her total distance directly to each building is the shortest. Find where she should park.
Answer:
95 feet on the street towards the libraary
and 95 feet on the street towards the art museam
Recheck :
Total distance = 50 + 60 + 80 = 190
Each distance = 190/2 = 95
She should park her car distance from library 80 feet and go to museum first.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the distance to the library be x.
so, total y = 2(60+ x) 80 - x + 50
y= 50 + x (go to library First)
Again , y = 2 (50+ 80 -x ) + x + 60
y= 320 -x ( go to museum first)
Then when x= 80
y = 240 < 250
So, she should park her car distance from library 80 feet and go to museum first.
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Sally answered 90% of the math testquestions and 80% of the history test questions correctly. if each test had 50 questions , how many questions in all did she answer correctly?
Monica is completing an Algebra test worth 100 points. There are 14 questions on the test that are equally valued. How many points is each question worth? Round to nearest tenth of a point.
Answer:
7.1 points
Step-by-step explanation:
100/14=7.1 points
what is 24.3-(1.3×4)+7.94
The two rectangles are scale drawings. What is the
measurement of x?
Answer:
20
Step-by-step explanation:
28/7=4
5x4=20
Graph the equation y=-1/4(x-2)(x+6) khan academy
Answer: x=−6,2
Step-by-step explanation:
The perimeter of a rectangle with a
length of 10 cm is 32 cm.
What is the width of the rectangle?
sum of the fractions as a mixed numbers
2 5/6 + 4 3/6 =
What is the value of X
Answer:
4 because
10+2x=18
2x=8
x=4
the whole number 10 turn it to a fraction
10/1 or 20/2 or 30/3 or 40/4 etc
What is the perimeter of the rectangle?
18 m
31 m
meters
Members of a baseball team raised $967.50 to go to a tournament. They rented a bus for $450.00 and budgeted $37.75 per player for meals. They will spend all the money they raised.
Answer:
$3532.5
Step-by-step explanation:
Given data
Total amount raised= $967.50
Rented a bus for $450.00
Player meal = $450.00 per player
A baseball team is made up of 9 player
Hence the meal will add up to = 450*9= $4050
Hence the total amount they will spend= 4050+450
= $4500
Hence, they will spend all their money and still have a deficit of
$3532.5
My uncle Darnell wants to buy a canoe. The regular price is $758, but
today it is on sale for $460 off of the regular price. What is the sale price
of the canoe?
Answer:
Step-by-step explanation:
290 dollars off
If a prism has the triangular base shown and a height of 3", then its volume is 384 cubic inches.
True
False
HELP ASAPPPPPPPP!!!!
Answer: x8
Step-by-step explanation:
An oatmeal recipe calls for 4 cups of oats for every 3 cups of milk. If you want to use 9 cups of oats, how much milk would you need to use?
Plz show your work.
Answer:
[tex]9 \frac{3}{4}[/tex] sups of milk
Step-by-step explanation:
It is given that;
4 : 3 (this represents the proportion of cups of oats to cups of milk)
Now one has to find how many cups of milk will correspond with 9 cups of oats.
First, convert the given ratio to a unit ratio,
4 : 3
/4 /4
1 : [tex]\frac{3}{4}[/tex]
Now multiply the entire ratio by 9 to find out how many cups of milk corresponds to 9 cups of oats;
9 : [tex]\frac{39}{4}[/tex]
Simplify;
9 : [tex]9 \frac{3}{4}[/tex]
HELP ME PLZ ITS DUE AT 11:59 AND I HAVE MORE
Answer:
Step-by-step explanation:
1: no
2 yes
3 no
4 yes
5 no
6 no
7 always
8 always
9 never
10 always
11 always
12 never
13 108
14 80
15 70
16 123
17 38
18 167
19 10
20 154
7 in.
2 in.
2
12 in.
5 in.
2 in.
9 in.
What is the volume of the figure? Enter the answer in the box.
cubic inches