Peter watches 805 American movies and 460 Chinese movies.
Let x represent the number of American movies and y represent the number of Chinese movies and let z represent the total number of movies.
Since he watches 345 more American movies than Chinese movies. Hence:
x = y + 345
x - y = 345 (1)
Also:
x + y = z
x + y - z = 0 (2)
The ratio of Chinese movies to American movies is 4:7. Hence:
(4/11)z = y
-y + (4/11)z = 0 (3)
Solving equations 1, 2, and 3, simultaneously gives:
x = 805, y = 460 and z = 1265
Hence, Peter watches 805 American movies and 460 Chinese movies.
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Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2. 5), (3, 6. 25). What value, written as a decimal, should Lena use as the common ratio? 1. 0 1. 5 2. 5 2. 0.
Answer:
r = 2.5
Step-by-step explanation:
Consider the y- coordinates of the plotted points
1 , 2.5 , 6.25
The common ratio r is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5
Look at the screen shot and answer the question. Please Explain !!
Answer:
see explanation
Step-by-step explanation:
- 4x + 3 < 23 ( subtract 3 from both sides )
- 4x < 20
x < - 5 ← Her error is on this step
When dividing by a negative quantity the symbol is reversed, that is
Divide both sides by - 4 and reversing the symbol gives
x > - 5
Jasmine got a new puppy for her birthday. He's full of energy, so she takes him for a walk along a 1.2-mile loop in a nearby park. If they walked a total of 3.6 miles, how many loops did they do?
Answer:
3 loops
Step-by-step explanation:
1.2x = 3.6 [Setting up an equation]
x = 3 [dividing both sides by 1.2]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
this is my attachment answer hope it's helpful to you
are the lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
perpindicular
Step-by-step explanation:
Perpindicular has multiple sides and has a 90 degree plane
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
Is -3/4 greater than -0.25
Answer: No
Step-by-step explanation:
you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.
Answer:
-0.25 is greater than -0.75
Step-by-step explanation:
usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.
What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2
Answer: B
Step-by-step explanation:
Multiply everything in the bracket by -2 and combine like terms
Answer:
It's B
Step-by-step explanation:
Write the equation of the line from the graph.
Answer: y = 4x + 2
Step-by-step explanation:
A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.
In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).
slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= (2 - (-2)) / (0 - (-1))
= (2 + 2) / (0 + 1)
= 4 / 1
= 4
y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.
Plug both slope and y-intercept in, we get the equation:
y = 4x + 2
Answer: y = 4x + 2
Step-by-step explanation:
How many solutions does 3(x + 5) - 3 = 2(3x + 1) - 3x have? Show your work.
2noop
no
ordon
dos
SOLUTION I don’t want the answer I just wanna know how to solve it cause I’m bad at math
Answer:
No solution
Step-by-step explanation:
1.Simplify
3(x+5)-3 = 2(3x+1) -3x
3x+15-3=6x+2-3x
2.Simplify
3x+12=3x+2
3. Combine like terms
3x-3x+12-2=3x-3x+-2
10 does not equal 0
No solution
Answer:
[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]
Step-by-step explanation:
[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]
Expand: Apply distributive property:
[tex]\sf 3(x+5)-3[/tex]
[tex]\sf 3x+15-3[/tex] [tex]\sf 3x+12[/tex][tex]\sf 2(3x+1)[/tex]
[tex]\sf 3x+2[/tex][tex]\sf 3x+12=3x+2[/tex]
Subtract 12 from both sides:
[tex]\sf 3x+12-12=3x+2-12[/tex]
[tex]\sf 3x=3x-10[/tex]
Subtract 3x from both sides:
[tex]\sf 3x-3x=3x-10-3x[/tex]
[tex]\sf 0=-10[/tex]
Sides are not equal, so therefore there is no Solution.
___________________________________________
Slope between (6,-11) and (2,-1)
Which statements are true? Check all that apply.
3
1
-2.5=-2
2.
2.
-1.5 > -0.5
0.5 <0
-2.5 <-2
1
0
UD
1>15
-1
-2
-3
Answer:
3is the answer because t
s apply
Step-by-step explanation:
I do this do y'all can get extra point and complete challenges!
What is 4 + 4
8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.
Please help me quickly
Step-by-step explanation:
a full circle (turning around a point a full turn) is 360°.
so, all these angles together must be 360°.
90 + 33 + 165 + 20 + x = 360
308 + x = 360
x = 52°
What is the area (what is the height)
Answer:
5 i think
Step-by-step explanation:
The trapezoid's height (h) is 4 mm(millimeters).
Formula to calculate a trapezoid's height;
2 x Area ÷ by A(short base) + B(large base)
f(x)={x+4….
for f(x)
Answer:
3f=5
Step-by-step explanation:
f(x) = x+4
3f=4x
x<5
5<_x<7
7<_x<_10
please help! thanks!
the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem
Answer:
y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed
Step-by-step explanation:
in this equation:
weight= t(months) + 7
this is an equation written as y=mx +b
in a line equation like this b is the y intercept , or the y value when x=0
in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn
A radar station is 2000 ft from the launch site of a rocket. If the rocket is launched vertically at the
rate of 500 ft/sec, how fast is the distance between the radar station and the rocket changing 10 seconds
later?
Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
If you want to learn more, you can read:
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terrell is going to the salem fair. it costs $5 to get into the fair and $.75 per ride. if he only has $20, how many rides can terrell ride?
A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
Answer:
60% if this is an edge question
Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40
Answer:
50°
Hope you could understand.
If you have any query, feel free to ask.
A computer virus infects files very quickly. The number of files triples every minute. After the first minute, five files are infected. (pls answer)
Options in the pic
Answer:
C
Step-by-step explanation:
The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!
Using the area model divide, true or false, 79/7 is equal to 11 R 1.
Area models are used to evaluate products and divisions
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
The division equation is given as:
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]
Express 79 as 77 + 2
[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]
Split the expression on the left-hand side
[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]
Divide 77 by 7
[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]
2 divided by 7 is 0 with a remainder of 2
So, we have:
[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]
The equations above are not equal.
This is represented as:
[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]
Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
Read more about area models at:
https://brainly.com/question/18701102
-4 + (-3) – 8 + (-2) =
cellus If investments double every 7 years and you start with a $600 investment, how much money would you have after 21 years?
Answer:
4800$
Step-by-step explanation:
1 day = 600
7 years = 600 x 2 = 1200$
14 years = 1200 x 2 = 2400$
21 years = 2400 x 2 = 4800$
Solve the non-standard equation for x.
-18 + x = -4
Answer:
x = 14
Step-by-step explanation:
i need the solution to this problem pls!
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
Find the term of the arithmetic sequence in which a 27=-1/2 and the common difference is 2.
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.
a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52
a1 = -52 1/2 = -105/2
an = -105/2 + (n-1)×2
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.
A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept: 5 - (-2)(-4) = -3