4 gallons of paint cost a total $22.00. How much will 14 gallons cost? A. $60.50 B. $242.00 C. $82.00 D. $77.00

Answers

Answer 1
Answer: The answer is D. $77.00. To get the cost for a single gallon you divide $22 by 4 gallons you get $5.50. To get the cost for 14 gallons you multiply $5.50 by 14 and you get the answer $77.00.

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Simplify 1/4(8m - 4n) + 1/3(6m + 3n)

Answers

Answer:

The simplified of (1)/(4)(8m-4n)+ (1)/(3)(6m+3n) is 4m .

Step-by-step explanation:

As given

= (1)/(4)(8m-4n)+ (1)/(3)(6m+3n)

L.C.M of (4,3) = 12

= (3* (8m-4n)+4* (6m+3n))/(12)

= (3* 8m-3* 4n+4* 6m+4* 3n))/(12)

= (24m-12n+24m+12n)/(12)

= (24m+24m)/(12)

= (48m)/(12)

= 4m

Therefore the simplified of (1)/(4)(8m-4n)+ (1)/(3)(6m+3n) is 4m .

1/4(8m - 4n) + 1/3(6m + 3n)=

Distribute the fractions through the parentheses

2m - n + 2m + n =

Combine like terms

2m + 2m - n + n = 4m

Simplified Answer is 4m

Multiply 3⁄4 × 16⁄9 .
A. 64⁄27
B. 3⁄4
C. 27⁄64
D. 4⁄3

Answers

Answer:

Option D (4)/(3)

Step-by-step explanation:

we know that

The product of two fractions is equal to the product of the numerators divided by the product of the denominators

so

(3)/(4)*(16)/(9)=(3*16)/(4*9)\n \n=(48)/(36)\n \n=(24)/(18)\n \n=(4)/(3)

I believe that the answer to this question is D. 4⁄3

Graph x2 + y2 = 9. What are its lines of symmetry?

Answers

            Equation given in the question represents a circle.

            Therefore, there will be infinite lines of symmetry.

Line of symmetry of a figure:

  •  Line of symmetry of a figure is the line over which half of the figure overlaps the other half.

Given in the question,

  •  Graph represented by the equation → x² + y² = 9

Equation given in the question is in the form of

(x-0)^2+(y-0)^2=3^2

Since, general equation of a circle is given by,

(x-h)^2+(y-k)^2=r^2        

Therefore, given equation represents a circle.

By definition, a circle has infinite lines of symmetry passing through the center.

      Therefore, given equation will have infinite lines of symmetry.

Learn more about the lines of symmetry here,

brainly.com/question/1968732?referrer=searchResults

Answer:

It has infinitely many line of symmetry. All diameters are line of symmetry.

Step-by-step explanation:

Given: Equation is x² + y² = 9

To find: line of symmetry of given equation

Given equation is the equation of circle.

x² + y² = 9

re write,

(x-0)² + (y-0)² = 3²

by comparing given equation with standard equation of circle ,

(x-h)² + (y-k)² = r²

we get, h = 0 , k = 0 , r = 3

Centre of circle = ( 0 , 0 ) and radius of circle = 3 unit

Since It is a circle. so it has Infinitely many line of symmetry

Also, All diameters of this circle are line of symmetry for this circle.

Some equation of line of symmetry,

x-axis : y = 0

y-axis : x = 0

Solve the equation: 12y = 132. A. y = 11
B. y = 11/12
C. y = 144
D. y = 1/11
C

Answers

The clue to solve equations is that you can perform operations on both sides aiming to let the variable alone. For example, you can add or subtract a term as long as you do it to both sides of the equality. In this case, the variable y has 12 as coefficient, then to eliminate this coefficient you divide both sides by 12, and so you get:(12y)/12 = 132/12 => y = 11 (because 12/12 = 1 and 132/12 = 11. Then, the answer is the option A, y = 11

La circunferencia es tangente a la recta 3x - 4y = 34 en el punto (10, -1) Y también es tangente a la recta 4x + 3y = 12 en el punto (3, O). Hallar la ecuación de la circnferencia.

Answers

Answer:

La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²

Step-by-step explanation:

La información dada son;

La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34

La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12

Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;

3·x - 4·y = 34

4·y = 34 - 3·x

y = 34/4 - 3/4·x = 8.5 - 3/4·x

Primera tangente

y = 8.5 - 3/4·x

3·y = 12 - 4·x

y = 12/3 - 4/3·x = 4 - 4/3·x

Segunda tangente

y = 4 - 4/3·x

La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;

La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3

La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)

y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3

Por tanto, la ecuación del primer radio es;

y = 4/3·x - 43/3

La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4

La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)

y = 3/4×(x - 3) = 3/4·x - 9/4

Por tanto, la ecuación del segundo radio es;

y = 3/4·x - 9/4

Los dos radios se encuentran en el centro dado como sigue;

4/3·x - 43/3 = 3/4·x - 9/4

4/3·x - 3/4·x  = 43/3 - 9/4

7/12·x = 145/12

x = 145/12

y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16

Las coordenadas del centro = (h, k) = (145/12, 109/16)

La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48

La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;

(x - 145/12)² + (y - 109/16)² = (545/48)².

Payton leaves to go on an 858585 minute bike ride at 3{:}27\text{ p.M.}3:27 p.M.3, colon, 27, start text, space, p, point, m, point, end text Payton's family eats dinner at 5{:}45\text{ p.M.}5:45 p.M.5, colon, 45, start text, space, p, point, m, point, end text How much time will Payton have between finishing her bike ride and eating dinner?

Answers

There are no 858585 minutes between 3:27 PM and 5:45 PM when Payton's family eats dinner, as this would mean that Payton goes on over 596 day bike ride, which is unrealistic.

The question would be realistic, if it was:

Payton leaves to go on an 85 minute bike ride at 3:27 PM.

Payton's family eats dinner at 5:45 PM. How much time will Payton have between finishing her bike ride and eating dinner?

Answer:

Payton has 53 minutes between finishing her bike ride and eating dinner

Step-by-step explanation:

- Payton rides for 85 minutes.

If she starts by 3:27 PM, she would finish by 4:52 PM.

- Dinner is by 5:45 PM.

We are required to find how much time is between 4:52 PM and 5:45 PM.

Subtract:

.........H...............M

.........05............45

.........04............52

.................................

.........00............53

Payton has 53 minutes

Answer:

Step-by-step explanation:

Guven:

Time of bike ride = 3:27 PM

Time of dinner = 5:45 PM

Bike ride = 85 minutes

Time that bike ride ended = 3:27 + 85

= 3:27 + 1:25

= 4:52 PM

duration left between after the ride and dinner time = 5:45 - 4:52

= 45 + 8 minutes

= 53 minutes