Translate sentence into an equation
Five times the sum of a number and 6 equals 8.

Answer:

B

Step-by-step explanation:

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

The money that you make when you sell something for more than it cost you.

For given example,

profit is described by the equation :

[tex]P (x) = -x^2 + 10x -4[/tex]

We need to maximize the profit P(x)

[tex]\Rightarrow \frac{d}{dx}P(x)=0\\\\\Rightarrow \frac{d}{dx}( -x^2 + 10x -4 ) =0\\\\\Rightarrow -2x+10=0\\\\\Rightarrow -2x=-10\\\\\Rightarrow x=5[/tex]

since , x is the number of items made in thousand

Therefore, 5000 items can maximize the profit

The correct answer is an option (a)

Learn more about profit :

https://brainly.com/question/11470255

#SPJ2

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Explanation:

Place a decimal point between the first two digits 3 and 7.

Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000

Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.

You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000

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Side notes:

3,700,000 = 3 million, 7 hundred thousand

3,700,000 = 3.7 million

Answer

where is the ?

Step-by-step explanation:

Answer:

9,

Step-by-step explanation:

if you look at the pattern its just adding up all the numbers above so its nine

Answer:

As a result, seen in the picture the answer will be 14 which is letter b.

Step-by-step explanation:

1 + 5 + 9 =14.

Hopes this help.

Good luck.

Answer: Its 5.71%

Step-by-step explanation:

2/35*100=5.71

Answer:

Use Simple Interest Formula=PrT/100

SI=$1800×5×6/12÷100

=4500/100

=$45

Step-by-step explanation:

$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{x = \frac{6}{k}}[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}}\\\\kx+12=3kx\\------------\\\rightarrow kx+12 - 12 = 3kx-12\\\\\rightarrow kx = 3kx - 12\\\\\rightarrow kx - 3kx = 3kx - 3kx - 12\\\\\rightarrow -2kx = -12\\\\\rightarrow \frac{-2kx = -12}{-2k}\\\\\rightarrow \boxed{x=\frac{6}{k}; k\neq 0}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 6/k

Step-by-step explanation:

kx + 12 = 3*kx

to make like terms on same side shift kx to right hand side . when u shift positive kx to other side it becomes negative

12 = 3kx - kx

12 = 2kx

shift 2 to left hand side when u shift multilication changes to division.

12/2 = kx

6 = kx

to find x u must shift k to other side . here also same since k and x are multilied when k shifts to others side it becomes divisor.

6/k = x

Answer:

The area of the sector of the circle is approximately

Step-by-step explanation:

The given parameters of the circle having a shaded sector are;

The radius of the circle, r = 4 meters

The measure of the arc bounding the sector = 135°

The area of a sector of a circle, 'A', is given as follows;

[tex]A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2[/tex]

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

[tex]A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2[/tex]

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².

Answer:

the last option, effectively cooling the hot plate down and heating the surrounding up

Answer:

20

h(x) = 2x - 20

Step-by-step explanation:

f(x) = ¹/₂ x + 10

First, isolate x, like so:

f(x) - 10 = ¹/₂ x

x = 2(f(x) - 10)

x = 2f(x) - 20

Now, simply switch f(x) with x and x with h(x), like so:

h(x) = 2x - 20

Answer:

the answer is 20

Step-by-step explanation:

took the test on edge

Answer:

42 lbs

Step-by-step explanation:

1/6th of 42 is 7

now since the bulb weighs 294, we didvide by 7

so 294/ 7 is 42

Answer:

x^2 -2

Step-by-step explanation:

f(x) = x^2 -3

g(x) = x+1

Put f(x) in for x in the function g(x)

g(f(x)) = f(x) +1 = x^2 -3+1 = x^2 -2

Answer:

I am very confused on this question

9514 1404 393

Answer:

  36

Step-by-step explanation:

Let the digits of the number be represented by t for the tens digit and u for the units digit.

  u = 2t . . . . . . . . the units digit is twice the tens digit

  2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse

Substituting for u, we have ...

  2(10t +2t) = 10(2t) +t +9

  24t = 21t +9 . . . . . . . . . . . collect terms

  3t = 9 . . . . . . . . . . . . . subtract 21t

  t = 3 . . . . . . . . . . . divide by 3

  u = 2t = 6 . . . . find u

The number is 36.

Answer:

the first one is 1.667

Step-by-step explanation:

5/3=1.667

10/6=1.667

and so on

Sorry i dont know the second one

Answer:

The answer is below

Step-by-step explanation:

Breakeven point is the point of balance where their is neither a loss or a profit. At the breakeven point, the revenue gotten from the sell of goods is equal to the cost of production of the goods, hence the profit is zero.

Given the profit function:

P=-2b² + 14b - 20

At breakeven P = 0, hence:

0 = -2b² + 14b - 20

-2b² + 14b - 20 = 0

-2b² + 10b + 4b - 20 = 0

-2b (b - 5) + 4(b - 5) = 0

(b - 5)(-2b + 4) = 0

b - 5 = 0; or -2b + 4 = 0

b = 5; or b = 2

Since b is in thousands, hence the company breaks even when the number of skateboards produced is either 2000 or 5000

Answer:

y = -x - 2

Step-by-step explanation:

The slope is -1 and the y-intercept is (0, -2).

Answer:

the answer is "B" the second one...

(1/2)(2)^x

at

0 = (1/2)(1) = 1/2

2= (1/2)(4) = 2

Step-by-step explanation:

Answer:

D. -3 < x

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x

-15/5 < 5x/5

-3 < x

Answer: 137.5 pounds

Step-by-step explanation:

Elijah has 2¹/₂ bags of candy. A single bag of candy weighs 55 pounds so to find the quantity of pounds that Elijah has, multiply 55 by the number of bags that Elijah has:

First convert bags to mixed fraction:

= 2¹/₂ = 5/2

Quantity that Elijah has:

= Number of bags * Weight per bag

= 5/2 * 55

= 137.5 pounds

Answer:

Part 1

The mistake is Step 2: P + 2·x = 2·y

Part 2

The correct answer is

Step 2 correction: P - 2·x = 2·y

(P - 2·x)/2 = y

Step-by-step explanation:

Part 1

The student's steps are;

Step 1; P = 2·x + 2·y

Step 2: P + 2·x = 2·y

Step 3: P + 2·x/2 = y

The mistake in the work is in Step 2

The mistake is moving 2·x to the left hand side of the equation by adding 2·x to P to get; P + 2·x = 2·y

Part 2

To correct method to move 2·x to the left hand side of the equation, leaving only 2·y on the right hand side is to subtract 2·x from both sides of the equation as follows;

Step 2 correction: P - 2·x = 2·x + 2·y - 2·x = 2·x - 2·x + 2·y = 2·y

∴ P - 2·x = 2·y

(P - 2·x)/2 = y

y = (P - 2·x)/2

Answer:

Step-by-step explanation:

take 43 degree as reference angle

using tan rule

tan 43 = opposite / adjacent

0.93 = x / 56

x = 56/0.93

x = 60.21

x = 60.2

Answer:

B

Step-by-step explanation:

4 scores add all together divided by 4 needs to be greater or equal to his goal

Answer:

x² + xy - 3x + 2y - 10

Step-by-step explanation:

x(x + 2) + y(x + 2) - 5(x + 2)

x² + 2x + y(x + 2) - 5(x + 2)

x² + 2x + xy + 2y - 5(x + 2)

x² + 2x + xy + 2y - 5x - 10

x² - 3x + xy + 2y - 10

x² + xy - 3x + 2y - 10