There are two pipes. Twice the water flow in the hot water pipe is equal to three times the water flow from the cold pipe. Combined it equals 1200 L/hour. What is the flow in each pipe?

Answer:

[tex]f^{-1}(x) = 6(4-x) = 24-6x[/tex]

Step-by-step explanation:

Let [tex]y=f(x)[/tex] and swap x and y:

[tex]x = 4 - \frac{y}{6}[/tex]

Then, rearranging for y:

[tex]x+\frac{y}{6} = 4[/tex]

[tex]\frac{y}{6}= 4-x[/tex]

[tex]y= 6(4-x) = 24-6x[/tex]

Final answer:

Explaining the inverse function of a given function.

Explanation:

Inverse function of f(x) = 4 - x/6:

Replace f(x) with y: y = 4 - x/6.

Swap x and y: x = 4 - y/6.

Solve for y: y = 24 - 6x.

ANSWER

[tex]y = 5x + 5[/tex]

EXPLANATION

Using any two ordered pairs we can find the equation.

Let us use

(2,15) and (5,30).

The slope is

[tex] = \frac{30 - 15}{5 - 2} = \frac{15}{3} = 5[/tex]

The equation is given by:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-15=5(x-2)[/tex]

This implies that,

[tex]y = 5x - 10 + 15[/tex]

The required equation is

[tex]y = 5x + 5[/tex]

Answer:

9.42 feet

Step-by-step explanation:

The distance around the edge of a circle is called the circumference.  The formula for circumference is C = dπ   where d is the diameter.  We are given

d = 3, so we have C = 3π.  We are told to use 3.14 for pi, so we have

C = 3(3.14) = 9.42

Answer:

A

Step-by-step explanation:

2/3x-1=4

Add 1 to each side

2/3x = 5

Divide each side by 2/3

x = 7.5

Find the same value...

15/2 = 7.5

Subtract the sale price from the original price:

200 - 150 = 50.

Now divide the difference by the original price and then multiply that by 100:

50 / 200 = 0.25 x 100 = 25%

The discount is 25%

Answer:

Option A. The ratio of the area to the circumference is equal to half the radius

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

The ratio of the area to the circumference is equal to

[tex]\frac{A}{C}=\frac{\pi r^{2}}{2\pi r}[/tex]

Simplify

[tex]\frac{A}{C}=\frac{r}{2}[/tex]

Verify

In this problem

[tex]A=153.86\ units^{2}[/tex]

[tex]C=43.96\ units[/tex]

[tex]\frac{A}{C}=\frac{153.86}{43.96}=3.5\ units[/tex]

and [tex]3.5\ units[/tex] is equal to half the radius

therefore

The ratio of the area to the circumference is equal to half the radius

Answer:

A: The ratio of area of circle to the circumference is equal to half the radius.

Step-by-step explanation:

We are given that area of a circle=153.86 square units

Circumference of circle=43.96 units

Radius of circle=7 units

We have to find that the relation ship between area of circle and circumference of circle

Area of circle=[tex]\pi r^2[/tex]

Circumference of circle=[tex]2\pi r[/tex]

Ratio of area of circle to the circumference=[tex]\frac{\pi r^2}{2\pi r}[/tex]

Ratio of area of the circle to the circumference of the circumference=[tex]\frac{1}{2} r[/tex]

Ratio of area to the circumference=[tex]\frac{153.86}{43.96}=\frac{7}{2}=\frac{r}{2}[/tex]

Hence, option A is true.

Answer:A: The ratio of area of circle to the circumference is equal to half the radius.

Answer:

1.20

Step-by-step explanation:

you multiply 0.02 by 60 usually 120 but 2 decimal points so move the decimal  2 to the left

Answer:

it's already in simplest form, as a decimal it would be 8.875

Step-by-step explanation:

The problem involves adding mixed numbers. First, convert them to improper fractions, add them up, and convert back to mixed numbers if possible. The first equation results in [tex]5\frac{1}{2}[/tex] while the second results in [tex]8\frac{7}{8}[/tex].

The student is asking this question in the context of addition of fractions. To tackle these problems, the first thing to do is to switch both numbers into improper fractions.

In equation 1,

[tex]4\frac{1}{6} +1\frac{2}{6} \\= \frac{25}{6} + \frac{8}{6} \\=\frac{33}{6} \\=\frac{11}{2} \\=5\frac{1}{2}[/tex]

In equation 2,

[tex]7\frac{4}{8} + 1\frac{3}{8}\\ =\frac{60}{8} + \frac{11}{8}\\ =\frac{71}{8}\\ =8\frac{7}{8}[/tex]

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The spiciness of chili is determined by comparing the proportion of chili powder to tomato sauce. Jack consistently uses 222 teaspoons of chili powder per cup of sauce, whereas Marsha's ratio varies, but never exceeds 126.86 teaspoons per cup. Therefore, Jack's chili is spicier.

To determine whose chili is spicier, we must compare the ratio of chili powder to tomato sauce used by Jack and Marsha. Jack uses 222 teaspoons of chili powder for every 1 cup of tomato sauce. For Marsha, we'll have to establish the ratios based on her table.

Regardless of the quantity she makes, Marsha's ratio never goes below 115.43, which is less than Jack's ratio of 222. So, Jack's chili is spicier than Marsha's.

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Answer:

It is true. It is a number value therefore it is true.

A term can be having a positive or negative value. Therefore -8 is also a term. Hence the given statement is true.

A term or phrase that is used to describe something or to express a thought, particularly in a certain language or field of study.

A term's value might be either positive or negative. Consequently, -8 is also a term.

As a result, the statement is accurate.

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Answer with explanation:

We have to describe the rational number in words

     [tex]=\frac{8}{21 n}[/tex]

Dividend =8

Divisor =21 n

Quotient

     [tex]=\frac{\text{Dividend}}{\text{Divisor}}\\\\=\frac{\text{Eight}}{\text{Twenty one} \times \text{A number}}[/tex]

Option C: → The quotient of eight and twenty-one times a number

Answer:

a=[tex]2\frac{3}{16}[/tex]

Step-by-step explanation:

formulas:

a= b x h x [tex]\frac{1}{2}[/tex]

or           (both equations get the same answers)

a= b x h ÷ 2

imma stick with the second one kuz i usually use that one but ur preference.

so,

base(b) = [tex]2\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]

height(h) = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

now fill it in to the equation:

a=b x h x [tex]\frac{1}{2}[/tex]                        a= b x h ÷ 2

a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] x [tex]\frac{1}{2}[/tex]                         a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] ÷ 2

a=[tex]\frac{35}{16}[/tex]                                   a=[tex]\frac{35}{16}[/tex] ÷ 2

a=[tex]2\frac{3}{16}[/tex]                                   a=[tex]\frac{35}{8}[/tex] ÷ 2

                                          a=[tex]\frac{35}{16}[/tex]  

                                           a=[tex]2\frac{3}{16}[/tex]

o well i did both lol

now you ca compare the two equations now  :]

plz give brainliesttttt

Final answer:

The area of a triangular poster with a base of 2 1/2 feet and a height of 1 3/4 feet is calculated using the formula A = 1/2 × base × height, resulting in an area of 2.1875 square feet.

Explanation:

To find the area of a triangle, we use the formula A = ½ × base × height. Given that the base of the triangle is 2 1/2 feet (which is 2.5 feet when converted to a decimal) and the height is 1 3/4 feet (which is 1.75 feet in decimal), we can calculate the area as follows:

A = ½ × base × height

A = ½ × 2.5 ft × 1.75 ft

A = ½ × 4.375 ft²

A = 2.1875 ft²

Therefore, the area of the poster is 2.1875 square feet.

Answer:

3 hours

Step-by-step explanation:

Answer:

36 cubic feet

Step-by-step explanation:

1. know that the equation for volume is l*w*h

2. plug in all the information that is shown in the question. (9*4*1)

3. 9*4*1 is 36 so your answer is 36 cubic feet

Answer: 36 ft³

Step-by-step explanation:

You must apply the formula for calculate the volume of a rectangular prism, which is show below:

[tex]V=l*w*h[/tex]

Where l is the lenght, w is the width and h is the height.

Given the dimensions shown in the problem, you can substitute values into the formula shown above.

Therefore, you obtain that the volume of the rectangular prims is:

[tex]V=(9ft)(1ft)(4ft)\\V=36ft^3[/tex]

The given 3rd option is the viable answer.

Answer:

hello : (4, –2)

Step-by-step explanation:

because put : x = 4 and y = - 2  in the inequality    y+3 ≤ 2x  you have :

- 2 +3 ≤ 2(4)

1 ≤ 8 .... right

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(5)

x² + (y - 4)² = 25 ← is in standard form

with centre = (h, k) = (0, 4) → A

(6)

here (h, k) = ( 9, - 5) and r = 1, hence

(x - 9)² + (y - (- 5))² = 1², that is

(x - 9)² + (y + 5)² = 1 ← equation of circle

Answer: OPTION B

Step-by-step explanation:

Let's call:

c: the number of cars.

m: the number of motorcycles.

Based on the given information, you can set up the following system of equations:

[tex]\left \{ {{c+m=38} \atop {4c+2m=104}} \right.[/tex]

You can solve it by the Elimination method:

- Multiply the first equation by -4.

- Add both equations to cancel out the variable "c".

- Solve for "m":

[tex]\left \{ {(-4)(c+m)=38(-4)} \atop {4c+2m=104}} \right.\\\\\left \{ {-4c-4m=-152} \atop {4c+2m=104}} \right.\\-------\\-2m=-48\\m=24[/tex]

(24 motorcycles)

 - Substitute m=24 into any of the original equations ans solve for "c". Then:

[tex]c+24=38\\c=38-24\\c=14[/tex]

(14 cars)

The answer is:

Option B.

[tex]Cars=14\\Motorcycles=24[/tex]

We know that the total of tires of all the vehicles was 104, and there were 38 vehicles with 4 tires and motorcyles with 2 tires, so, we can calculate how many cars and motorcyles participated in the ride using the following equation:

Let x be the cars and y be the motorcyles, so:

[tex]x+y=38[/tex]

and,

[tex]4x+2y=104[/tex]

So, isolating x in terms of y from the first equation, we have:

[tex]x=38-y[/tex]

Then, substituting "x" into the second equation we have:

[tex]4(38-y)+2y=104\\152-4y+2y=104\\152-2y=104\\2y=152-104\\2y=48\\y=\frac{48}{2}=24[/tex]

Now, substituting "y" into the first equation, we have:

[tex]x+24=38[/tex]

[tex]x=38-24=14[/tex]

So, there were a total of 14 cars and 24 motorcycles in the ride.

Have a nice day!

➷ The formula for surface area of a cylinder is:

[tex]2\pi rh + 2\pi r^2[/tex]

The radius is half the diameter

radius = 8/2 = 4

Substitute the values in:

[tex]2\pi (4)(18) + 2\pi (4)^2[/tex]

Solve it:

surface area = [tex]176\pi[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

525.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula is S.A. =2[tex]\pi r^{2} + 2\pi rh[/tex]

write the equation out. *raduis is half of diameter, d=8. r=4)

2 x 3.14 x [tex]4^{2}[/tex] + 2 x 3.14 x 4 x 18 = S.A.

Solve

2 x 3.14 x 4^2 = 100.48

Rewrite

100.48 + 2 x 3.14 x 4 x 18 = S.A.

solve second halve

2 x 3.14 x 4 x 18 = 452.16

rewrite

100.48 + 425.16 = 525.64

525.64 [tex]cm^{2}[/tex]

Hope this helped! Please mark as brainliest! Thanks!

Answer:

The one on the bottom CANNOT be represented by the equation.

Step-by-step explanation:

For the equation in the problem there has to be a 4x, meaning the cost per case multiplied times the about of them (x). Then there has to be a +7 somewhere in the equation for shipping. The two on the top fit both of those descriptions.

Mark Brainliest plz!

Answer:

CE = 12

Step-by-step explanation:

ΔCDB and ΔEAB are similar, hence the ratios of corresponding sides are equal

We require to find the length of BC to complete CE

[tex]\frac{BC}{BE}[/tex] = [tex]\frac{DB}{AB}[/tex], substitute values

[tex]\frac{BC}{8}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10BC = 40 ( divide both sides by 10 )

BC = 4

CE = CB + BE =4 + 8 = 12

Answer:

-1050

Step-by-step explanation:

I know the answer because descending means going down so 2100 is the big number and its negative to if you do -2100 divided by 2 then you will get -1050.

The equation to represent the submarine's elevation and time is elevation = 2100 - (rate of descent × 2).

To represent the submarine's elevation and time, we can use the equation:

elevation = starting altitude - (rate of descent ×  time)

Where:

In this case, the equation would be:

elevation = 2100 - (rate of descent × 2)

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we just have to locate these coordinates on graph and see which one lies on line .

you will find option 4 lies on line so it's the one of the solution of line

Answer:

(--3,2)

The only (x,y) that is on the line is (-3,2)

the rest don't fit on the line.

Answer:

83

Step-by-step explanation:

8 is one less than 3x3

Answer:

#1: No #2: Yes #3: Yes #4: Yes

Unit conversion is a way of converting some common units into another without changing their real value. Only b and c are the correct statements.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

a.) 2,000 km = 2m

No, since 1 km is equal to 1000 m, therefore, 2 m will not be equal to 2,000 km.

b.) 2,000 mm= 2m

Yes, since 1 m is equal to 1000 mm, therefore, 2000 mm will be equal to 2 meters.

c.) 20 cm= 200 mm

Yes, since 1 cm is equal to 10 mm, therefore, the 20 cm will have 200 mm.

d.) 20m = 2,000 cm

No, since 1 meter is equal to 100 cm, therefore, 20 m will not be equal to 2,000 cm.

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El resultado es 0.0166666667

Answer:

its D. 456 in

Step-by-step explanation:

if u multiply 10 x 10 then u get 100. that same square is there twice so if u add it u get 200. then the only one greater than 100 is 456.

Answer:

the answer is d 456^in2

Step-by-step explanation:

hope this helps

Answer:

(3, -6)

Step-by-step explanation:

The formula for reflecting across the Y axis is that the X axis value will become opposite, so the -3 becomes positive 3.

Answer:

(3, -6)  

Step-by-step explanation:

When you reflect a point (x, y) in the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,

(-3, -6)⟶ (3, -6)

The image below shows the point before and after the reflection.

Answer:

csc^2(theta)

Step-by-step explanation:

1 / cot^2(theta) = tan^2(theta)

=============

sec(theta) = cos(theta)

therefore sec(theta)*cos(theta) = 1/cos(theta) * cos(theta) = 1

==========

tan^2(theta) + 1 = y

One of the fundamental theorems of trigonometry is

tan^2(theta) + 1 = csc^2(theta)

Answer:

A. $240,000

Step-by-step explanation:

look at the chart - find $30,000 and find 35 year old / 75%.. go down and to the right of the chart and find 8.0.. multiply 30,000 by 8.0 = 240,000.

hope this helps!!

Answer:

x = -14

Step-by-step explanation:

-3.5 = x/4

In the right side, the fraction x/4 means x divided by 4. We want x alone, so we multiply both sides by 4.

-3.5 * 4 = x/4 * 4

-14 = x

Answer: x = -14

The solution to the equation -3.5 = x/4for x using the multiplication property of equality is x = -14.

Multiplication property of equality is an equality property which states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation are equal.

So,

-3.5 = x/4

multiply both sides by 4

-3.5 × 4 = x/4 × 4

-14 = x

Therefore, x equals negative 14.

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