An electronics company can spend no more than $4,000 on raw materials for circuit boards. The raw materials cost $10 per ounce for copper and $20 per ounce for silver.

To summarize the situation, a worker writes the inequality:

10c + 20s ≤ 4,000, where c is the number of ounces of copper material and s is the number of ounces of silver material.

Which graph's shaded region shows the possible combinations of raw materials the company can buy?

Answer:

Part 1) 53%

Part 2) 44%

Part 3) The record label sold a higher percentage of album 1 as digital downloads than album 2

Step-by-step explanation:

First we need to find the total sales of each album

Album 1:

[tex]540+470=1010[/tex]

Album 2:

[tex]571+452=1023[/tex]

Part 1)

In order to find the percentage of copies of album 1 sold as CDs, we need to create a fraction with the number of CD sales over the total number of sales

[tex]\frac{540}{1010} =0.534\\\\0.534*100=53.4\\\\53[/tex]

Part 2)

We must now do the same thing with the number of digital downloads for album 2

[tex]\frac{452}{1023} =0.441\\\\0.441*100=44.1\\\\44[/tex]

Part 3)

We can now do this again with the number of digital downloads for album 1 and compare it to the answer in Part 2

[tex]\frac{470}{1010} =0.465\\\\0.456*100=46.5\\\\47[/tex]

As the % for album 1 is 47% while the % for album 2 is 44%, album 1 sold a higher percentage of digital downloads than album 2

Answer:

Part A, the chances of hitting the black circle are closer to zero than 1. Reason: the black circle has an area of around 3.14 while the white has 10^2-3.14 (area of circle = πr^2). Part B, the chances of hitting the white are closer to one than zero as they are 100-3.14= around 96.86

Step-by-step explanation:

Loook up

Answer:

(x - 1)(x - 2)(x - 3)

Step-by-step explanation:

Note the sum of the coefficients

1 - 6 + 11 - 6 = 0

hence x = 1 is a root and (x - 1) is a factor

dividing x³ - 6x² + 11x - 6 by (x - 1) gives

(x - 1)(x² - 5x + 6)

To factor the quadratic

Consider the factors of + 6 which sum to give - 5

The factors are - 2 and - 3, since

- 2 × - 3 = 6 and - 2 - 3 = - 5, hence

x² - 5x + 6 = (x - 2)(x - 3) and

x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)

Answer:

(x - 1)(x - 2)(x - 3).

Step-by-step explanation:

f(x) = x^3 - 6x^2 + 11x - 6

f(1) = 1 - 6 + 11 - 6 = 12 - 12

= 0 so by the Factor Theorem (x - 1) is a factor.

Also, by the Rational Root theorem, as the last term is -6 and the leading coefficient is 1  some of -1, 2,-2, 3 -3, 6,-6  might be zeroes of the function.

f(-1) = -1 + 6 - 11 - 6 = -12 so  -1 is not a zero and (x+ 1) is not a factor.

f(2) = 8 - 24 +22 - 6

= 30 - 30 = 0  so (x - 2) is also a factor)

Since the last term is -6 the last  factor must be  (x - 3)

=Checking:  f(3) = 27 -6(9) + 33 - 6

= 27 - 54 + 33 - 6

= 60-60 = 0.

So the factors are (x - 1)(x - 2)(x - 3).

Answer:

±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x

Step-by-step explanation:

to solve y = 4 + bx², we want x alone, so lets subtract 4 from both sides to start

y - 4 = bx² < now divide both sides by b to get x alone

[tex]\frac{y-4}{b}[/tex] = x² < we can square root both sides to get rid of the x² in the equation

±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x

the equation above is our answer. looking at the answer choices, they look a bit messed up, but I would have to say the answer is A if that line above the b is a division symbol

Answer:

12:15

16:20

Step-by-step explanation:

Note that what you multiply to one side, you multiply to the other (same with dividing) for ratios.

4:5 => 4 * 3: 5 * 3 = 12:15

4:5 => 4 * 4: 5 * 4 = 16:20

~

Answer:

12:5 and 16:20 are equalevent to 4:5

Step-by-step explanation:

12 divided by 3 = 4 (Because 3 x 4 = 12)

15 ÷ 3 =5 (because 5 x 3 = 15, we basicly raised the ration by a scale factor of 3)

12:15 = 4:5

16 ÷ 4 = 4 (because 4 x 4 = 16)

20 ÷ 4 = 5 (4 x 5 = 20 This ratio was raised by a scale factor of 4)

16 : 20 = 4:5

12:5 and 16:20

Hope this helped!

Answer:

C

Step-by-step explanation:

noting that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(-1)(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] × [tex]\sqrt{5}[/tex]

= 4i[tex]\sqrt{5}[/tex] → C

The square root of -80, expressed in simplest terms, is 4i sqrt 5, where 'i' is the imaginary unit.So,option C is correct.

To express the square root of -80 in its simplest terms, we need to use the imaginary unit i, which is defined as the square root of -1. We can rewrite -80 as -1  imes 80, and thus the square root of -80 as the square root of -1 times the square root of 80. We know that the square root of -1 is i, and the square root of 80 can be simplified to the square root of 16 times the square root of 5, which is 4 times the square root of 5. Combining these, we get:
√-80 = √(-1 times 80)
      = √-1 times √80
      = i times 4√5
      = 4i√5.

The correct answer is C- 4i sqrt 5.

Answer:

h = 5.488 in

Explanation:

Area of a parallelogram is calculated as follows:

Area = base * height

In the given parallelogram, we can note that the base is 9.8 in and the corresponding height is 5.6 in

This means that:

Area of parallelogram = 9.8 * 5.6 = 54.88 in²

This same area can be calculated using the other base (10 in) and its corresponding height (h)

This means that:

Area of parallelogram = 10 * h

54.88 = 10 * h

h = 5.488 in

Hope this helps :)

Answer:

16 remain

Step-by-step explanation:

144 divided by 6 = 24

24 in each batch

24 x 4 = 96

96 cookies in 4 batches

5/6 of 96 = 80

96-80=16

Answer:

16 chocolate cookies was left.

Step-by-step explanation:

Well first 144/6=24 and 24x4=96; 24x2=48. So 96x0.833333333=16.

Answer:

[tex]\large\boxed{A.\ 3^2-16+36\div3}[/tex]

Step-by-step explanation:

[tex]3^2-(5-3)^4+4\times3^2\div3\\\\=3^2-(2)^4+4\times9\div3\\\\=3^2-16+36\div3\to\boxed{A}[/tex]

Answer:

C

Step-by-step explanation:

Substitute the given values for x and y into the expression

5 × ([tex]\frac{60}{6(5)}[/tex]) - 1

= 5 × ([tex]\frac{60}{30}[/tex]) - 1

= (5 × 2)  - 1

= 10 - 1

= 9 → C

Katrina earned approximately $147.95 that day.

To calculate how much money Katrina earned in one day, we need to take into account her hourly wage as well as her commission from sales. The first part is straightforward: She works 11 hours at an hourly rate of $9.25. To find this portion of her earnings, we multiply the number of hours by her hourly rate:

11 hours * $9.25 per hour = $101.75

Next, we calculate the commission from her sales. Katrina made $385 in sales and gets a 12% commission on these sales:

12% of $385 = 0.12 * $385 = $46.20

To find Katrina's total earnings for the day, we add her hourly earnings to her commission earnings:

$101.75 (hourly earnings) + $46.20 (commission) = $147.95

Therefore, Katrina earned approximately $147.95 that day

7x>14,x=2። is right answer i think

7x>14,x=2። is right answer i think

Answer:

Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.

Step-by-step explanation:

We need to find the value of x for the equation 2x-3>11-5x

2x-3>11-5x

Adding +5x on both sides:

2x+5x-3>11-5x+5x

7x-3>11

Adding +3 on both sides

7x-3+3>11+3

7x>14

Dividing by 7 on both sides:

7x/7>14/7

x>2

Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.

Answer:

8(2c + 3d)

Step-by-step explanation:

Given

16c + 24d ← factor out 8 from each term

= 8(2c + 3d) ← in factored form

8(2c+3d)

Hope this helped

Answer:  Best described as a fixed amount of income that is paid to an someone weekly, every other week, or on a  monthly basis. it could also be described as annual earnings paid out over a year.

Step-by-step explanation:

Answer:

The variable is x.

The value of the variable is 9.2.

Step-by-step explanation:

The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.

The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...

3.5 × (1/3.5) = 1

The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:

x · 1 = x

So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:

3.5x = 32.2

(1/3.5)(3.5)x = (1/3.5)(32)

1x = 9.2 . . . . . carry out the multiplication

x = 9.2 . . . . . . recognize 1x = x

___

You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.

Answer:

The variable is x and x is equal to 9.2

Step-by-step explanation:

Keep in mind that a variable is a symbol put in place to represent an unknown value. In this case, our variable is "x."

In order to solve for x, we must isolate it. We can do this by dividing both sides of the equal sign by 3.5

3.5x ÷ 3.5 = 32.2 ÷ 3.5

Simplify.

x = 9.2

Answer:

The price per pound was $0.88

Step-by-step explanation:

If $1.10--------------> 1.25 Pounds

     x <---------------  1 Pound

x = ($1.10)(1 Pound)/1.25 Pound

x = $0.88

Answer:

26.78

Step-by-step explanation:

350 * .0765

Answer:

There is no correlation

Step-by-step explanation:

There is no pattern with the points on the scatter plot.

Answer:

1/4

Step-by-step explanation:

We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;

1, 2, 3, 4, 5, 6

The probability of rolling an even number is;

(total number of faces with even numbers) / (total number of faces)

The even numbers are;

2, 4, 6

The probability of rolling an even number is thus;

3/6 = 1/2

If a penny is tossed, the probability of landing heads is simply;

1/2

This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.

now, the probability that he will roll an even number and toss heads is;

1/2 * 1/2 = 1/4

we simply find the product of the probabilities of the individual events since they are independent.

Answer:

maybe this Total cost

=383.17+200+82+300+62.50

=1,027.67

Step-by-step explanation:

Answer:

$1115.10

Step-by-step explanation:

Total cost  will be the sum of all individual expenses i.e.

[tex]670.60 + 200.00 + 82.00 + 100.00 + 62.50 = 1115.10[/tex]

∴ The total cost will be $1115.10

Answer:

yes 1 : 8

Step-by-step explanation:

To determine if the figures are similar calculate the ratio of corresponding sides.

[tex]\frac{24}{3}[/tex] = 8

[tex]\frac{32}{4}[/tex] = 8

[tex]\frac{112}{14}[/tex] = 8

Since all 3 ratios are equal the figures are similar (SSS )

and the ratio small : large = 1 : 8

Answer:

Step-by-step explanation:

Since angle A is 36°, then angle B is 90° − 36° = 54°.

To find an unknown side, say a, proceed as follows:

1.   Make the unknown side the numerator of a fraction, and make the known side the denominator.

Unknown

Known  =   a

10

2.   Name that function of the angle.

Unknown

Known  =   a

10  = sin 36°

3.   Use the trigonometric Table to evaluate that function.

Unknown

Known  =   a

10  = sin 36° = .588

4.   Solve for the unknown side.

a = 10 × .588 cm = 5.88 cm

Answer:

Triangle a is larger than triangle b

Step-by-step explanation:

Triangle a

8x10=80

80 divided by 2=40

Triangle b

5x13=65

65 divided by 2=32.5

80 > 32.5

Can I pls have brainliest?

Answer:

optioc C [tex]10^{2}[/tex]

Step-by-step explanation:

we know that

Hecto (h) is a decimal unit prefix in the metric system denoting a factor of one hundred

so

[tex]h=100=10^{2}[/tex]

Answer:None of the above it would have to be that's what he pays in 9 months

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Akash is paying $79.99 each month for 3 months.  239.97 is the result of that, so there would be 239.97 less in his checking account.  

[tex]\text{Hey there!}[/tex]

[tex]\text{Distribute the value of 7 in each of your terms}[/tex]

[tex]\text{(2x}^3+\text{3y}^2)(7)[/tex]

[tex]\text{2x}^3\times7=\text{14x}^3[/tex]

[tex]\text{3y}^2\times7=\text{21y}^2[/tex]

[tex]\text{We cannot combine like terms because they AREN'T any in this equation}[/tex]

[tex]\boxed{\boxed{\bf{Answer:14x^3+21y^2}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

[tex]a=2x^3[/tex] and [tex]b=3y^2[/tex]

Step-by-step explanation:

The given binomial expression is:  [tex](2x^3+3y^2)^7[/tex]

A standard binomial expression is like  [tex](a+b)^n[/tex]

Comparing the given expression with the standard binomial expression.....

[tex](a\ \ +\ \ b)^n \Longleftrightarrow (2x^3\ +\ 3y^2)^7\\ \\ So,\ \ a=2x^3\\ \\ and\ \ b=3y^2[/tex]

Answer:

1 ± √47

Step-by-step explanation:

Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:

2x^2 - x^2 = x^2 (first term);

3x - 5x = -2x (second term);

-7 - 39 = -46 (third term)

Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation.  Here the coefficients are a = 1, b = -2 and c = -46.

Then the discriminant, b^2 - 4ac, is:

(-2)^2 - 4(1)(-46) = 4 + 184.

The roots are:

     -(-2) ±√188         2 ± √4√47

    ------------------- = -------------------

              2                         2

                             = 1 ± √47 (last of the answer choices)

=

x = ------------------

You can see by the image how did I get the answer

f(x)=X2+3x-10 for X=-2

why? 2*2+3*2-10

4+6-10=0

Answer: f(x) = x2 - 3x -10

Step-by-step explanation:

putting x= -2

f(-2) = (-2)^2 - 3(-2) - 10

=4 + 6 -10

f(-2)=0

f(5) = x2 - 3x - 10

= (5)^2 - 3(5) -10

=25 - 15 - 10

f(5) =0

Answer:

The answer on edge is

A. the addition property of equality

D. the substitution property of equality

Step-by-step explanation:

cause its the answer

Answer:

Option b.

Step-by-step explanation:

we have

[tex]2(\frac{3}{5})^{3}[/tex]

Evaluate

[tex]2(\frac{3}{5})^{3}=2(\frac{3^{3}}{5^{3}})\\ \\=2(\frac{27}{125})\\ \\=\frac{54}{125}[/tex]

therefore

He did not apply the power to the denominator of 3/5