Los alumnos de una clase han formado 4 equipos para hacer un mural en una pared del patio. Los equipos tienen 8,7, 10 y 5 componentes. Si la pared mide 12 m de largo, ¿cuántos metros de pared le corresponde a cada equipo para que sea proporcional al número de componentes?

Answer:

[tex]x=\dfrac{325}{c-7}[/tex]

Step-by-step explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function:

[tex]c=\dfrac{7x+325}{x}[/tex]

We are required to express the number of t-shirts in terms of the average cost.

First, we cross multiply

cx=7x+325

Bring the terms containing x to the left hand side

cx-7x=325

Factorize out x

x(c-7)=325

Divide both sides by c-7

[tex]x=\dfrac{325}{c-7}[/tex]

Therefore, the number of t-shirts, x in terms of the average cost, c is:

[tex]x=\dfrac{325}{c-7}[/tex]

Answer:

382.5 in²

Step-by-step explanation:

2 triangles + 3 lateral sides

2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)

90 + 90 + 81 + 121.5

382.5 in²

Answer:

[tex]382.5 {in}^{3} [/tex]

Step-by-step explanation:

hope this helps

Answer:

you divide 36 by 0.75

Step-by-step explanation:

Answer:

Divide 36/.75

Step-by-step explanation:

You need to isolate A in order to solve the equation.

Answer:

-4(3n + 5)

Step-by-step explanation:

We want to factor the expression:

-12n - 20

Look at the two terms, which are -12n and -20. Obviously, they don't share an "n", but they do share another number.

Notice that -12 can be written as the product of -4 and 3: -12 = -4 * 3. Similarly, -20 can be written as the product of -4 and 5: -20 = -4 * 5. Since 3 and 5 are prime numbers, we know that -4 is the biggest factor that -12 and -20 share. So, let's factor that out of the expression:

-12n - 20 = -4 * [(-12n/-4) + (-20/-4)] = -4 * (3n + 5)

So, the factored form of this expression is -4(3n + 5).

Steps to factor:

-12n - 20

~Rewrite -12n

-4 * 3n

~Rewrite -20

-4 * 5

~Put together

-4 * 3n + -4 * 5

~Factor out -4

-4(3n + 5)

Best of Luck!

Answer: [tex]r^\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\sqrt[44]{\frac{r^5}{r^-^6} }[/tex]

When dividing by the same base (r) subtract exponents.

[tex]\sqrt[44]{r^5^-^(^-^6^)}[/tex]

[tex]\sqrt[44]{r^5^+^6}[/tex]

[tex]\sqrt[44]{r^1^1}[/tex]

A property of the roots say:

[tex]\sqrt[n]{x^m}=x^\frac{m}{n}[/tex]

Therefore;

[tex]\sqrt[44]{r^1^1}=r^\frac{11}{44}=r^\frac{1}{4}[/tex]

Answer:

I hope this helps you. Have a great rest of your day!

The required, solution to the equation 2(t+1) = 10 is t = 4.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Expanding the left side of the equation, we get,

2t + 2 = 10

Subtracting 2 from both sides, we get,

2t = 8

Dividing both sides by 2, we get,

t = 4

Therefore, the solution to the equation 2(t+1) = 10 is t = 4.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5

Im not super sure but I'm pretty sure it's A. I'm sorry if I'm wrong but this was also a question I need the explanation for.

Answer:

The van holds 18 students

The bus holds 24 students

Step-by-step explanation:

v = van  b = bus

High School A

1v+10b = 258

High School B

8v+5b = 264

Multiply the second equation by -2

-16v - 10b = -528

Add  this to the first equation

-16v - 10b = -528

1v+10b = 258

---------------------------

-15v      = -270

Divide each side by -15

-15v/-15 = -270/-15

v =18

The van holds 18 students

Now we need to find the number the bus holds

1v+10b = 258

18 + 10b = 258

Subtract 18 from each side

18-18+10b = 258-18

10b=240

Divide each side by 10

10b/10 =240/10

b = 24

The bus holds 24

Answer:

Van: 18

Bus: 24

Step-by-step explanation:

V + 10B = 258

V = 258 - 10B

8V + 5B = 264

8(258 - 10B) + 5B = 264

2064 - 80B + 5B = 264

75B = 1800

B = 24

V = 258 - 10(24) = 18

Answer:

work is shown and pictured

Answer:

1880

Step-by-step explanation:

Answer:

151 degrees

Step-by-step explanation:180 - 29=151

Answer: 6%

Step-by-step explanation:

Principal= $1875

Time= 10 years

Interest= $1125

Rate = Unknown

Recall that,

Interest= (Principal×Rate×Time)/100

I = PRT/100

100I = PRT

R= (100×I)/PT

Rate = (100 × 1125)/(1875 × 10)

Rate = 112500/18750

Rate= 6%

The rate is 6%

Answer:

90

Step-by-step explanation:

Step-by-step explanation:

2x+26=2(5-3x)

2x+26=10-6x

combination of like terms

2x+6x=10-26

8x= -16

x= -16/8

x= -2

Answer:

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Step-by-step explanation:

(p+4q)^3  -->

(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =

p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)

Answer:

$155282862040271282939285047182828282828

Answer:

6.285

Step-by-step explanation:

π·22≈12.56637 divided by 2 (half) is 6.285

Answer:

12.56 units squared

Step-by-step explanation:

find the area of the whole circle:

formula for this is: pi multiplied by the radius which is squared.

The math for this is Below

3.14 x 2 squared

2 squared is 4

so 4 times 3.14 which is 12.56

Answer:

a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:

b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence

Step-by-step explanation:

Answer:

63 yd²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 9, thus

A = 7 × 9 = 63 yd²

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

Answer:

Each parrot Bird ate 1/8 of a bag

Step-by-step explanation:

Here, we are interested in calculating the portion of the bag eaten by each of the pet birds

Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag

Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag

Answer:

1 hour and 5 minutes

Step-by-step explanation:

Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes

Answer:

1/4

That would be the answer because 6/8 minus 2/4 would equal 1/4

Subtract six eighths minus two fourths is the same as 6/8 - 2/4.

Find common denominators.

6/8

2/4 = 4/8

Subtract.

6/8 - 4/8

2/8

Simplify.

2/8 = 1/4

Therefore, the answer is 1/4

Best of Luck!

Answer:

15 +16 +17

21+23+25

Step-by-step explanation:

Answer: No, it would not be a solution.

Step-by-step explanation:

The solution to a systems of equations is the point where the lines intersect. The lines do not intersect at (4,-2) so it is not a solution. The lines do intersect at (-2,4), so (-2,4) would be the solution to this system.

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

Answer:

26.75

Step-by-step explanation:

It is 26.75 because if you split the traingle in half from the bottom to the top you look to find the area of each shape, so the sqaure has a measure of 2 by 2 so that is four then the smaller triangle has a measure of 2 by 2 but the formula for triangles are length times height divided by 2 and the area for that is 2. Then the other smaller triangle is 5 * 2 which is 10 then divide it by 2 so it is 5 so all together it is 9. then the area of the biggest triangle is 15.75

Answer:

26.75

Step-by-step explanation:

got it off khan