A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8 eggs per week for y weeks. The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen. Write an inequality showing this relationship

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]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:

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:

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:

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:

work is shown and pictured

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

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: [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:

$155282862040271282939285047182828282828

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:

Answer:

151 degrees

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

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: 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:

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:

1/4

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:

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:

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:

no

Step-by-step explanation:

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

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:

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:

5 flowers are pink

Step-by-step explanation:

Answer:

There are 5 pink flowers.

Step-by-step explanation:

8 flowers - 3 flowers = 5 flowers

hope this helps :)

Step-by-step explanation:

The question is not properly formatted, here is a better format

the expression

[tex]7x+17x-6= (4x+6)[/tex]

[tex]x=42[/tex]

To verify weather the above is correct we need to solve it our-self

[tex]7x+17x-6= (4x+6)[/tex]

Opening up the bracket in the left hand side we have

[tex]7x+17x-6= 4x+6[/tex]

Collecting like terms we have

[tex]7x+17x-4x= 6+6[/tex]

[tex]24x-4x= 12\\20x= 12[/tex]

Divide both side by 20 we have

[tex]x= \frac{12}{20} = \frac{6}{5} \\[/tex]

Answer:

A

Step-by-step explanation:

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