What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)
Answer:
-6665
Step-by-step explanation:
The given GP is :
1, -6, 36, ...
Number of terms = 6
The sum of n terms of a GP is given by :
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Here,
a = 1, n = 6, r = 36/-6 = -6
So,
[tex]S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665[/tex]
So, the sum of th GP is -6665.
Three integers x, y and z satisfy 34x+5ly=6z. If y and z are primes, find the
value of x, of y and of z
Which of the following is the coefficient in the algebraic expression 2x+4?
А. у
B. 2
C. 4
D.
Answer:
B. 2
Step-by-step explanation:
The number next to the variable is the coefficient. So, it is 2
Answer:
B
Step-by-step explanation:
2 is the coefficient and x is the variable.
find the sales tax for A cd if the cd cost $14.29 and the sales tax is 7.25%
Answer:
the sales tax is 1.036 if you solve in this equation 7.25/100*14.29
In a bookcase, there are
fiction books for every 7 nonfiction books. There are 44 books in the bookcase. How many nonfiction books are in the bookcase?
Answer:
20 Books
Step-by-step explanation:
Solve for x, 8+2/7x=12?Help?
Answer:
X= 14
Step-by-step explanation:
Answer:
Exact form X=1/14
Decimal form x=0.0714285
Ten out of every 32 people
surveyed play Among Us.
What percent of people
surveyed play Among Us?
Please help
Answer:
31.25%
Step-by-step explanation:
Man its the search engine
Great brushwork btw
Rashid reads a total of 35 pages every 5 days. Based on this information, how many days will it take Rashid to read a total of 84 pages.
Answer:
12 days
Step-by-step explanation:
35 pages in 5 days
7 pages in 1 day
84 / 7 = 12
Samantha went to a concession stand and bought three pretzels and four sodas and paid a total of $11.25 for them. Raza went to the same stand and bought five pretzels and two sodas and paid a total of $8.25.
(a) Could pretzels have cost \$1.75 each and sodas $1.50 each ? How can you evaluate based on the information given ?
(b) Letting x equal the unit cost of a pretzel and letting y equal the unit cost of a soda, write a system of equations that models the information given .
(c) Solve the system of equations using the elimination method or a matrix,
(d) Leah went to the same concession stand and bought two sodas, how many pretzels would she need to buy so that she spent the same amount on both
Answer:
No, because their respective prices are $0.75 and $2.25
Step-by-step explanation:
Let's assume that the price of each pretzel is x and the price of each soda is y
3x + 4y = 11.25_____ equation 1
5x + 2y = 8.25_____ equation 2
Multiply equation 2 by the figure 2 so as to have both equation sharing the same coefficient of y
10x + 4y = 16.5____ equation 1
3x + 4y = 11.25____ equation 2
Now subtract equation 2 from 1
7x = 5.25
X = 5.25/7
X = 0.75
Now substitute x = 0.75 in equation 1
10x + 4y = 16.5
10(0.75) + 4y = 16.5
7.5 + 4y = 16.5
4y = 16.5 - 7.5
4y = 9
Y = 2.25
Therefore,the cost of each pretzel is $0.75 while that of soda is $2.25
Find value of x
I need it fastttttt
Answer:
x=1
Step-by-step explanation:
you have to put x on one side. send -10 to the other side. Add 10 on both sides to delete 10.
7x-10+10=3x-6+10
now it leaves you with 7x=3x+4
Now you have to send 3x to the other side because you are solving for x. subtract both sides by 3x to delete 3x on the other side.
7x-3x=3x-3x+4
how it leaves you with 4x=4
now you divide both sides by 4
4/4x=4/4
Hence, x=1
Answer:
standard form: 4x - 4 = 0
factorisation: 4(x - 1) = 0
solutions: x = 4/4 = 1
therefore, x is 1
What is the equation of the line that passes through the point (-4, -7) and has a
slope of 2/3 ?
Answer:
Step-by-step explanation:
(-4 , -7) ; slope = (2/3)
y -y1 =m(x-x1)
[tex]y -[-7]=\frac{2}{3}(x-[4])\\\\y+7 = \frac{2}{3}(x+4)\\\\y+7=\frac{2}{3}x+4*\frac{2}{3}\\\\y +7 = \frac{2}{3}x+\frac{8}{3}\\\\y=\frac{2}{3}x+\frac{8}{3}-7\\\\y=\frac{2}{3}x+\frac{8}{3}-\frac{7*3}{1*3}\\\\y=\frac{2}{3}x+\frac{8}{3}-\frac{21}{3}\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]
A truck can be rented from Company A for $160 a day plus 0.60 per mile. Company B charges $80 a day plus 0.70 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
At __ miles, the rental costs are the same from other company.
Answer:
800 miles
Step-by-step explanation:
Let the amount of miles = m
Company A charges a flat rate of $160 a day, and $0.60 per mile:
total = 0.60m + 160
Company B charges a flat rate of $80 a day, and $0.70 per mil:
total = 0.70m + 80
Set both equations equal to each other:
0.60m + 160 = 0.70m + 80
Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Subtract 0.70m and 160 from both sides:
0.60m (-0.70m) + 160 (-160) = 0.70m (-0.70m) + 80 (-160)
0.60m - 0.70m = 80 - 160
Simplify:
-0.10m = -80
Isolate the variable, m. Divide -0.10 to both sides:
(-0.10m)/(-0.10) = (-80)/(-0.10)
m = 80/0.10
m = 800
At 800 miles, the rental costs are the same.
how many times larger is 4.5 times 10^6 than 4.5 times 10^4
Answer:
100 Times larger.
Step-by-step explanation:
4500000/45000=100
In WXY, w=130 inches, x=270 inches and y =190 inches. Find the area of WXY to the nearest square inch
Answer:
11304
Step-by-step explanation:
Delta math
100 points help ASAP!!!!
Answer:
True
False
False
True
Step-by-step explanation:
its not even 100 points
Answer: This is 9 points. True,False, False,True is the answer by the way.
Step-by-step explanation:
PLEASE HELP ME!!!
Greg said that he wrote a fraction greater than 3/12, is less than 75/100, and has 6 as a denominator. What is his fraction?
Given:
A fraction is greater than [tex]\dfrac{3}{12}[/tex], is less than [tex]\dfrac{75}{100}[/tex].
The fraction has 6 as a denominator.
To find:
The fraction value.
Solution:
Let x be the required fraction.
According to the given information, we get
[tex]\dfrac{3}{12}<x<\dfrac{75}{100}[/tex]
[tex]\dfrac{1}{4}<x<\dfrac{3}{4}[/tex]
We know that, [tex]\dfrac{1}{4}<\dfrac{2}{4}<\dfrac{3}{4}[/tex]. So,
[tex]x=\dfrac{2}{4}[/tex]
[tex]x=\dfrac{1}{2}[/tex]
We need 6 as the denominator.
Multiply the numerator and denominator by 3.
[tex]x=\dfrac{1\times 3}{2\times 3}[/tex]
[tex]x=\dfrac{3}{6}[/tex]
Therefore, the required fraction is [tex]\dfrac{3}{6}[/tex].
The fraction that Greg wrote is 3/6.
What is a fraction?
A fraction is a quantity that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.
What fraction did Greg write?The first step is to express 3/12 and 75/100 in its simplest form.
3/12 = 1/4
75/100 = 3/4
The second step is to determine the difference between the fractions
3/4 - 1/4
[tex]\frac{3 - 1}{4}[/tex] = [tex]\frac{2}{4} = \frac{1}{2}[/tex]
The third step is to multiply by 3
3/6
To learn more about subtraction of fractions, please check: https://brainly.com/question/915789
TJ averages being the imposter 2 times every 5 games of Among Us. How many games does he have to play to be the imposter ones?
Answer:
10
Step-by-step explanation:
PLS PLS HELP ME I HAVE 5 MINS
I WILL GIVE YOU BRAINLY!!!
4/6 = 12/18
8/10 = 16/20
2/5 = 4/10
1/4 = 4/16
Can I get brainiest please.
PLEASE HELP THISIS GETTING TIMED
Answer:
30/34 =
Step-by-step explanation:
11. What number is 30% of 12? What are you going to solve?
a. rate
b. percentage
c. base
d. decimal
Answer:
3.6 D. decimal
Step-by-step explanation:
Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $2 per chore. Write an expression for how much their parents give Steven and Jill for each week if they do the same number of chores.
Answer:
23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
write 2 paragraphs using function notation
Answer:
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Step-by-step explanation:
!Please Help !
Find the volume of this cylinder
Answer:
volume of cylinder= pie × radius square× height
= 22/7×4×20
=1760/7
=251.42cm
Answer:
using 3 for pi it's V = 960cm^3
Step-by-step explanation:
R is the radius, which as stated, is half the diameter.
r = 8cm / 2 = 4cm
H is the height, which is shown to be 20cm
h = 20cm
V = pi*r^2*h
V = pi*(4cm)^2*20cm
substituting 3 for pi as requested.
V = 3*(4cm)^2*20cm - 3 * (16cm^2) * 20cm = 48cm^2 * 20cm = 960cm^3
What is the answer to 2x^4 x x^3=
what is the sum of the exterior angles of regular 24-gon
9514 1404 393
Answer:
360°
Step-by-step explanation:
The sum of exterior angles of any convex polygon is 360°.
What is the area of this parallelogram?
A. 60 cm²
B. 66 cm²
C. 72 cm²
D. 132 cm²
PLS HELP I'LL GIVE BRAINLIST!!
Answer:
132, (D)
Step-by-step explanation:
area = base * height
= (5 + 6) * 12 = 11 * 12 = 132
Answer:
The answer is D, 132 cm^2! Brainleist pls!
Can someone help me pls
Answer:
12.3 foot i think
Step-by-step explanation:
P.S. there will be no shadow of the boy if he is standing next to the statue because the shadow of the statue will cover him
just for fun
You can open the picture and help me and ty if you are
Answer:
-35/8=t
Step-by-step explanation:
-7/4=2/5t
simplify by dividing each side by 2/5
-35/8=t
Help me please What is angle
Answer:
2 = 25 degrees
Step-by-step explanation:
A right angle is 90 degrees... So, 90-65 helps you find the missing angle.
90-65=25
Angle 2=25
Can i get help plz this question rlly hard
Answer:
1890
Step-by-step explanation:
Answer:
I believe your answer is 1512
Step-by-step explanation:
4.2 x 2 = 8.4 this is the area, each inch is equal to 15 feet, there are 180 inches in 15 feet. so 8.4 x 180 = 1512.