Peter watches 345 more American movies than Chinese movies. the ratio of Chinese movies to American movies is 4:7 . how many American movies does Peter watch?​

Answers

Answer 1

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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Related Questions

How would you convert 12.5% to a fraction?

Answers

Answer:

12.5% as a fraction is written as 25/2

Step-by-step explanation:

step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.

step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.

step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood. They are: 2,400; 1,750; 1,900; 2,500; 2,250; 2,100 Which of the following represents the numerator in the calculation of variance and standard deviation? (225)2 (â€"425)2 (â€"275)2 (325)2 (75)2 (â€"75)2 = 423,750 (650)2 (â€"150)2 (â€"600)2 (250)2 (150)2 (â€"300)2 = 980,000 (250)2 (â€"400)2 (â€"250)2 (350)2 (100)2 (â€"50)2 = 420,000.

Answers

Answer:

∑[ (250)2 (400)2 (250)2 (350)^2 (100)2 (50)2] = 420,000.

Step-by-step explanation:

You first calculate the mean which is  is 2150.

You then subtract 2150 from the 6 values in turn

The first one = 2400 - 2150 = 250.

Then you square each of the 6 results and add them up - this comes to 420,000.

Someone could help me with problem 3-75 (b) please

Answers

Answer:

a. is correct

b. not correct

c. not correct

d. is correct

Step-by-step explanation:

3-75:

a) 3x + 7 = x - 1

Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)

b) -2x - 4 = -4x + 3

Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)

c) -3x + 5 + 5x - 1 = 0

Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)

d) -(x - 1) = 4x - 5 - 3x

Combine 4x and -3x together to get

-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)

Explanation:

I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.

Hope this helps though, I did my best :)

please solve y. y/4-16=-14 and also have a bless day

Answers

Answer:

y=8

Step-by-step explanation:

Multiply both sides of the equation by 4.

y−64=−56

Add 64 to both sides.

y=−56+64

Add −56 and 64 to get 8.

y = 8

and have a good day as well

You can spend at most $24 at the fair. Game tickets cost $2 each and ride tickets cost $4 each. You want to buy at least 3 game tickets and more than 2 ride tickets. Write and graph a system of linear inequalities to represent this situation. How many of each ticket could you buy?

Answers

Your game tickets are $6 total. Your ride tickets would run you about $12.

$2 x 3 = 6

$4 x 3 = 12


Simplify: 4x(x^2 – 3x + 1)

A)4x^3 - 7x^2 +5
B)4x^2 – 12x^2 + 4
C) 4x^3 - 12x^2 + 4x
D)4x^2 - 12x + 1

Answers

Answer:

its c

Step-by-step explanation:

4x*x^2= 4x^3

-3x*4x =-12x^2

1*4x = 4x

= 4x^3 -12x^2 + 4x

If you type 75 words in 3 minutes at what rate do you type?

Answers

You type 25 words per minute.

Equation: y=25x.

Hope this helps!!

For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.

Answers

Answer:

33/16

Step-by-step explanation:

What is the first time after midnight that all the digits on the display of a digital clock are prime numbers?

Answers

2:22 am
Hope this helps.

Line c passes through points (4, 8) and (1, 13). Line d is parallel to line c. What is the slope of line d?

Answers

If the lines are truly parallel, then they should have the same slope. So, the slope should be 1.66667 (Rounded: 1.7)

Help! Please! Help! Please!

Answers

Step-by-step explanation:

a midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments (that create the midsegment triangle). A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side (due to similar triangles and their constant scaling factors, when one side of the similar triangle is half of the sys of the original triangle, then all its sides are half of their original counterparts).

the 3 sides of the main triangle are

2x + 5

3x - 1

5x

the perimeter of the main triangle is the sum of these :

2x + 5 + 3x - 1 + 5x = 10x + 4

since the sides of the midsegment triangle are all exactly half the length of the sides of the main triangle, also the perimeter of the midsegment triangle is half of the perimeter of the original triangle :

(10x + 4) / 2 = 5x + 2

Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?

Answers

D, she needs to make 5 more treats.

Answer:

D) 5 more treats

Step-by-step explanation:

Number of required treats:

37*4 = 148

Remaining number of treats:

148 - 143 = 5

Correct choice is D

What is six times a number in algebraic expression

Answers

Answer:

6(x)

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x represents a number, it is also called a variable.

If there is 2 of x, it would be represented like this: 2x

If there is 1 of x, it would be represented like this: x

What is -12 3/4 + -5 1/2? Write your answer as a mixed number in simplest terms. ​

Answers

-18 1/4
Have a good day! :)

Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)​

Answers

Step-by-step explanation:

expand and multiply the terms

What is the distance between (-8, -1) and (-4, -9)?​

Answers

Answer:

The distance formula between two points is

D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2

Whereas

d is distance

So in this case

(-8, -1)

(-4, -9)

x2 is -4

x1 is -8

y2 is -9

y1 is -1

Now we plug them in

d= √(-4 + 8)^2 + (-9+1)^2

Now solve

it’s about

8.94427

how to find the vertex of a parabola in standard form

Answers

Step-by-step explanation:

TO find the vertex, you need to find the x− and y− coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex is:

x = -b over 2a

To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y

y=a(-b over 2a) squared + b(-b over 2a) + c

Help Me WHAT is 2 + 2

Answers

Answer:

4

Step-by-step explanation:

Answer:

= 4

2 + 2 = 4

Step-by-step explanation:

yw :-)

The table below shows a proportional relationship. True or False?​

Answers

Answer:

True

Step-by-step explanation:

I need help a I don't know what to do

Answers

Answer:

Look at my solution

What is Integration ?

Answers

Answer:

Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.

Answer:

Integration is the action or process of integrating.

Step-by-step explanation:

The power, P(watts), of a car engine is proportional to the square of its speed, s(m/s).
When s=45 P=2200.
Work out the speed (to 1 DP) when the power is 1890 watts

Answers

The speed of the car is 41.7 m/s when the power is 1890 watts.

What is Proportion?

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

To learn more about Proportion, click:

https://brainly.com/question/11240259

#SPJ1

how do i simplify these expressions?
. 3x x 4y
. 2p x 3q x 5r

Answers

Answer:

[tex] \\• \tt \: 3x \times 4y[/tex]

[tex] \\ \tt = 12xy[/tex]

[tex] \\ \tt • \: 2p \times 3q \times 5r[/tex]

[tex] \\ \tt = 30pqr[/tex]

plz help will mark as brainliest​

Answers

Answer:

Side AB and side BC

Step-by-step explanation:

Hope it helps

translate figure:RIGHT 2 DOWN 1
note:only use four point when drawing the translation​

Answers

Answer:

Your answer is in the image linked below.

Step-by-step explanation:

When the shape is moved right 2, down 1, you should have this translation,  hope this helps.

What is 1 and 1/4 - 3/8?

Answers

Answer:

7/8

Step-by-step explanation:

1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8

Answer:

0.875

Step-by-step explanation:

The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?

Answers

Answer:

Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...

Step-by-step explanation:

if 14 karat gold necklace weighs 1.8 ounces how many ounces of pure gold does it contain

Answers

Answer:

1.05 ounces

Step-by-step explanation:

Purest gold is 24 karat

So ATQ:

(14/24) X 1.8=1.049 OR SAY 1.05(ROUNDED OFF)

Express the following equation in standard form y=5x-3

Answers

Answer:

5x - y = 3

Step-by-step explanation:

Standard form of a linear equation is expressed as Ax + By = C

In order to express the given equation in this form, we need to isolate the constant.  We can achieve this by subtracting 5x from both sides:

y = 5x - 3

y - 5x = -3

If possible, we want A to be positive, so we can multiply both sides by -1:

-1(y - 5x) = -1(-3)

-y + 5x = 3 or 5x - y = 3

Someone help, this is kinda boring...
I'll give brainliest if someone gives me the correct answer

Answers

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

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