A factory that makes can openers has fixed costs for building, fixtures, machinery, etc. of $26,000. The variable cost for
material and labor for making one can opener is $2.75.
What is the total cost of making 20,000 can openers?

Answer:

Yes, unit of the first rate can be be different from and second and still represent the same measurement/value.

Step-by-step explanation:

Yes, if we have two units rate and one rate is converted to another, both measurement will still remain the same even after the conversion but the rate will be different.

For example if we want to convert $2 to naira, note that the unit rates for are distinct but after conversion the amount of both money will be the same.

If $1 = #386

2$ = 2×#386

$2 = #772

Hence the measurement of $2 is equivalent to 386 naira even though the rates are distinct (naira and $)

Answer:

16

Step-by-step explanation:

Let x = a number

2x+8=x+12

x=16

Answer:

[tex]x=3\text{ or } x=-15[/tex]

Step-by-step explanation:

So we have the equation:

[tex]|2x+12|=18[/tex]

Definition of Absolute Value:

[tex]2x+12=18\text{ or } 2x+12=-18[/tex]

Subtract 12 from both sides for both equations:

[tex]2x=6\text{ or } 2x=-30[/tex]

Divide both sides by 2 for both equations:

[tex]x=3\text{ or } x=-15[/tex]

And we're done!

Answer:

The answer is below

Step-by-step explanation:

Let the budget be represented by B. Since the grouo has only $8,000, hence, the inequality can be represented as:

B ≤ $8000

Also, $3400 was spent on transportation. If other cost is represented by C, therefore, other cost is given as:

Other cost ≤ Budget - cost of transportation

C ≤ $8000 - $3400

C ≤ 4600

From above, to stay within the budget, all other costs must be below $4600

Answer: 12 hours

Step-by-step explanation: 6 h = 360 min,9 h = 540 min, 12 h = 720 min

640-360=280 , 640-540=100 , 640-720=-80

Answer:

The probability is 0.18

Step-by-step explanation:

Here, we are interested in calculating a conditional probability;

Let the event that a voter is a Republican be R , the event that a voter is a Democrat be D and that a voter is an independent is I

Let the event that the election issue is favored be F

We have the following probabilities;

P(R) = 46% = 0.46

P(D) = 45% = 0.45

P(I) = 1-0.45-0.46 = 0.09

The conditional probability we want to calculate is;

P(D | F) which can be read as probability of event D given event F

From the question, we can identify the following conditional probabilities;

P(F|R) = 0.46 * 0.5 = 0.23 (0.5 is gotten from 50% = 50/100)

P(F | D) = 0.45 * 0.4 = 0.18

P( F | I) = 0.09 * 0.6 = 0.054

P(F) = 0.054 + 0.18 + 0.23 = 0.464

Mathematically; From Baye’s theorem

P( D | F) ={ P ( F | D) * P(D) }/ P(F)

P( D | F) = (0.18 * 0.45)/0.464 = 0.1745

Answer:

The inequality is;

2x + 3y ≤ 30

Step-by-step explanation:

Here, we want to select which of the inequalities represent all possible combinations of x roses and y carnations.

From the question, we are told that roses cost $3 and carnations cost $2

So, by buying x roses, total amount spent = $3x

By buying y carnations, total amount spent = $2y

Now, we are told that she does not want to spend more than $30, this means she can spend less than $30 or exactly $30 but cannot spend more than $30

So, by mathematical convention, we say the sum of the roses and carnations bought is less than or equal to $30

Thus we have;

2x + 3y ≤ 30

Answer:

2x + 3y ≤ 30

Step-by-step explanation:

Uhh im doing the test rn on it so yea

Answer:

(120,0)

Steps:

y-36=-1/3(x-12)

(0)-36=-1/3(x-12)

(-3)(-36)=x-12

108=x-12

120=x

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The point where Andrew stops is (120,0).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the perpendicular line will be,

m × 3 = -1

m = -1/3

Substitute the point in the line,

y = -(1/3)x + C

36 = -(1/3)12 + C

36 = -4 +C

C = 40

Now, the equation of the perpendicular line will be,

y = -(1/3)x + 40

The point will be due east, therefore, the value of y = 0,

0 =  -(1/3)x + 40

-40 = -(1/3)x

x = 120

Hence, the point where Andrew stops is (120,0).

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Answer:50

Step-by-step explanation:

Since the total of angles is 180, you just substract two numbers given by 180. Then, you will get 50. 180-(58+72) = 50

Answer:

[tex]-30x+2[/tex]

Step-by-step explanation:

[tex]-2(10x-1)-10x[/tex]

Use the distributive property:

[tex]-2(10x)-2(-1)-10x\\\\-20x+2-10x[/tex]

Combine like terms:

[tex]-20x-10x+2\\\\-30x+2[/tex]

:Done

Answer:

-30x+2

Step-by-step explanation:

1. Expand by distributing terms.

2. Remove parentheses.

3. Combine like terms

Answer:

x=y+6

Step-by-step explanation:

The expression will be written as x + y > 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 6 is more than the sum of y and x. The expression will be formed as below:-

x + y > 6

Therefore, the expression will be written as x + y > 6.

The complete question is given below:-

6 more than the sum of y and x then write the expression which represents the inequality.

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Answer:

Sorry this is late, but for future reference the answer is 98°.

Step-by-step explanation:

I took the quiz.

Answer:

9 Blue Cupcakes

Step-by-step explanation:

First, draw a diagram.

(suppose the blank stars are the pink cupcakes, black stars are the purple cupcakes and the half blank-half black stars are the blue cupcakes)

oooo

oooo

oooo

oooo

oooo

oooo

Then, figure out how much is 1/4 of 24, which is 6.

✩✩✩✩

✩✩oo

oooo

oooo

oooo

There are 18 cupcakes left. Then, figure out what 1/2 of 18 is, which is 9.

✩✩✩✩

✩✩★★

★★★★

★★★o

oooo

oooo

Finally, see how many are remaining, which are 9 cupcakes left.

✩✩✩✩

✩✩★★

★★★★

★★★✯

✯✯✯✯

✯✯✯✯

Hopefully this helped!

-✩sandwichchan✩

Answer:

15

Step-by-step explanation:

Take the square root of 2010: [tex]\sqrt{2010} =44.833...[/tex]

Round this value up: [tex]45[/tex]

Square the number: [tex]45^{2} =2025[/tex]

2025 is the closest number to 2010 that is a perfect square.

Difference: [tex]2025-2010=15[/tex]

Answer:

the answer to your question is -8.5

Answer:

-3.4 × 2.5 = -8.5

Step-by-step explanation:

Since these are short decimals, you can probably convert these into fractions if you'd like.

So -3.4 = -17/5

And 2.5 = 5/2.

So just multiply this like you would multiply two fractions, just multiply across the numerator, and denominator, and then just simplify; numerator × numerator / denominator × denominator.

So

The trick when multiplying by 5 is to divide the number in half, and multiply by 10.

-17/5 × 5/2 = -17 × 5 / 5 × 2 = -17/2 × 10 / 10 = -8.5 × 10/10 = -8.5 × 1 = -8.5

(The tens just cancel and make 1 so you are just left with this answer)

You can also try splitting the decimals up into factors:

-3.4 × 2.5 = (-3 - 0.4)(2 + 0.5) = -6 + -0.8 + -1.5 + 0.2 = -6 + -1 + -1.5 = -7 + -1.5 = -8.5.

Answer:

1212

Step-by-step explanation:

Answer:

6 cups of sugar left

hope this helps

Answer:

B. Exponential Function; base = 2; initial value = - 3.8

Step-by-step explanation:

hey there,

< The formula for exponential functions is [tex]A_{t} = A_{o} e^{kt}[/tex]. The function given DOES follow this formula (At = y, -3.8 = Ao, e = 2, k = 1, t = x) so that means it is an exponential function. C cannot be the answer.

You already know that e is the base in called the "natural base". e is equal to a number around 2. In this function, they just put it as "2". So we know that the base is equal to 2.

Ao means initial value and At means value after the experiment is done. Here, we can see Ao = -3.8 so that is the initial value.

base = 2; initial value = - 3.8 >

Hope this helped! Feel free to ask anything else.

Answer:

Step-by-step explanation:

Assume 105 is 10⁵ and 104 is 10⁴

Water flow in 1 day is the product of the two numbers above:

Answer:

90 mph

Step-by-step explanation:

30 / (1/3) = 90

The answer: -5 ≤ y ≤ 6

The range is all the possible output or y values of the function.

Our first point is at (1, 6) and our second point is at (-4, -5)

That means our y values are 6 and -5. Let's set up a compound inequality to represent our function.

-5 ≤ y ≤ 6. This means that x is greater than or equal to -5 and less than or equal to 6.

Answer:

6x^2y+12xy^2+9xy

Step-by-step explanation:

Answer: n = 11.5

Step-by-step explanation:-140=-32n +228

-368=-32n

Answer:

67 degrees

Step-by-step explanation:

It is given that,

The measures of the three angles of a triangle are 43°, 70°, and xº.

We need to find the value of x.

We know that, the sum of angles of a triangle is equal to 180 degrees. Applying this theorem, we get :

[tex]43^{\circ}+70^{\circ}+x^{\circ}=180^{\circ}\\\\113^{\circ}+x^{\circ}=180^{\circ}\\\\x^{\circ}=180^{\circ}-113^{\circ}\\\\x^{\circ}=67^{\circ}[/tex]

Hence, the value of x is 67 degrees.

Answer:

≈ 3927 litres

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = Ah ( A is the area of the base and h the height )

Note that h of oil = 250 ÷ 2 = 125 cm ( since half full )

V = πr²h

   = π × 100² × 125 = 1250000π cm³ ( divide by 1000 )

   = [tex]\frac{1250000\pi }{1000}[/tex] = 1250π litres ≈ 3927 litres ( to the nearest litre )

Answer:

3927

Step-by-step explanation:

first u have to find volume of cylinder its volume is

V=

[tex]\pi \times radius ^{2} \times height[/tex]

so it become 7853981cm^3 then convert it into Liters as you know 1liter=1000cm^3

so divide your volume with 1000 and the answers

is 7853 so as u know that it is half filled than divied ur 7853 by 2 then final ans is 3927

Answer:

15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

= (4 × 3 + 3)/4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds = 15/16 × 16 ounces.

= 15 ounces

Answer:

2.0625 or 2 1/16

Step-by-step explanation:

The Lily is correct because full numbers are not fractions and can be positive, negative, or zero.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56 etc. are the numbers.

Lilly is on point. Integers are full numbers that are not fractions and can be positive, negative, or zero, so she is right.

For example:

1/2 + 1/3 = 5/6

Thus, the Lily is correct because full numbers are not fractions and can be positive, negative, or zero.

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Given that:

Length of a rope = 224 cm

Rope is cut so that one part is 3/4 of the other.

Solution:

Let one part of a rope be x cm.

So other part of the rope is [tex]\dfrac{3}{4}x[/tex].

Total length [tex]=x+\dfrac{3}{4}x[/tex]

Now,

[tex]x+\dfrac{3}{4}x=224[/tex]

[tex]\dfrac{4x+3x}{4}=224[/tex]

Multiply both sides by 4.

[tex]7x=896[/tex]

Divide both sides by 7.

[tex]x=\dfrac{896}{7}[/tex]

[tex]x=128[/tex]

The value of one part 128 cm.

Second part [tex]=\dfrac{3}{4}x[/tex]

[tex]=\dfrac{3}{4}\times 128[/tex]

[tex]=3\times 32[/tex]

[tex]=96[/tex]

Therefore, the length of shorter rope is 96 cm and the length of longer rope is 128 cm.