simplify 28-(8+3)X(4-2)

Answer:

9x-8x=107

x=107

Step-by-step explanation:

explanation is in image below

3) Store A sells 36 pack box of chocolates for $54. Store B sells 6-pack boxes of the same size chocolates for $12. Which store offers a better deal? (Organize your information in the tables given below) Store A Store B # of Chocolates Price $ Price $ # of Chocolates.​

________________________________

# of Chocolates​ Price Ratio (Price per chocloate)

Store A 36 pack box 54 54/ 36 = 3/2 = 1.5

Sotre B 6-pack boxes 12 12/ 6 = 2

_____________________________

Store A 1.5

______________________________

Answer

Store A offers a better deal

Answer: 48m²

Step-by-step explanation:

We can set up  an equation to find the length. Once we have the length, we can multiply it with the width to get out area.

\(l=3w\)

\(w=4\)

Now that we have our length and width, we can plug in width into our length and find the area.

\(l=12m\)

\(w=4m\)

\(A=12m*4m=48m^2\)

Answer:

-15x+24

Step-by-step explanation:

You can write that as:

\((-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24\)

Brian will receive £\(1.75\) from Sue buying \(500\) grams of berries.

The metric measure for a tiny amount of mass and weight is the gram (g). It weighs the same as one milliliter (or one cubic centimeter) of water. 1,000 grams make to one kilogram (kg). One liter liquid water weighs exactly one kilogram (kg).

Using a scale is the most accurate technique to measure in grams. Kitchen spoons and cups, for example, offer an approximate approximation. Moreover, always have a conversion tool or chart on available so you can estimate grams without a scale.

Brian paid a total of £\(15.75\) for \(4\frac{1}{2}\) kg of strawberries. To find out the price per gram, we can divide the total cost by the total weight:

Price per gram \(=\)Total cost / Total weight

Total weight of strawberries \(= 4.5 kg = 4500 grams\)

Price per gram \(=\) £\(15.75 / 4500\) grams

Price per gram \(=\) £\(0.0035\) per gram

So, Brian paid £\(0.0035\) for every gram of strawberries he picked.

Cost of \(500\) grams \(=\) \(500 grams *\) £\(0.0035/gram\)

Cost of \(500\) grams \(=\) £\(1.75\)

Therefore, Sue should pay Brian £\(1.75\) for \(500\) grams of strawberries.

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The measure of the angle ABC is 84 degrees and other measures are listed below

Here, we have

8n - 38 = 5n - 8

So, we have

3n = 30

n = 10

So, we have

ABC = 8n - 38 + 5n - 8

ABC = 8(10) - 38 + 5(10) - 8

ABC = 84

So, the measure of the angle ABC is 84 degrees

Here, we have

2k + 28 = 6k - 20

So, we have

4k = 8

k = 2

So, we have

CBW = 2k + 28

CBW = 2(2) + 28

CBW = 32

So, the measure of the angle CBW is 32 degrees

The interior angle is calculated as

Angle = 180 * (n - 2)/n

Regular 18-gon

Angle = 180 * (18 - 2)/18

Angle = 160

Regular 24-gon

Angle = 180 * (24 - 2)/24

Angle = 165

Here, we have

3x - 10 = x + 8

So, we have

2x = 18

x = 9

So, we have

YA = MA = 9 + 8

YA = MA = 17

Hence, the measures of YA and MA are 17

Here, we have

4x - 15 = 2x - 3

So, we have

2x = 12

x = 6

So, we have

NY = 2(6) - 3

NY = 9

NV = 2 * 9

NV = 18

Hence, the measures of NY and NV are 9 and 18, respectively

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Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

Answer:

9) 7sqrt(2)

11) 8sqrt(2)

13) 3sqrt(7)

Step-by-step explanation:

9) factor the radicand 98 into 7*7*2, 7^2*2, and then factor out the 7 squared to the outside of the radical to get 7 square roots of 2

11) factor the radicand 128 into 8*8*2, 8^2*2, and then factor out the 8 squared to the outside of the radical to get 8 square roots of 2

13) factor the radicand 63 into 3*3*7, 3^2*2, then factor out the 3 squared outside of the radical to get 3 square roots of 7

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

no

Step-by-step explanation:

Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

Answer:

C. (4, -6)

Hope it helps :)

Answer:

1 9/10

Step-by-step explanation:

Rewriting our equation with parts separated

1+1/2+2/5

Solving the fraction parts

1/2+2/5=?

Find the LCD of 1/2 and 2/5 and rewrite to solve with the equivalent fractions.

LCD = 10

5/10+4/10=9/10

Combining the whole and fraction parts

1+9/10= 1 9/10

OR

Solution by Formulas

Convert any mixed numbers to fractions.

Then your initial equation becomes:

3/2+2/5

Applying the fractions formula for addition,

(3×5)+(2×2)

      2×5

= 15+4

     10

= 19/10

Simplifying 19/10, the answer is

1 9/10

Hope this helps!

Convert \(-1+i\) to polar form.

\(z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}\)

By de Moivre's theorem,

\(\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)\)

QED

(a) The vector equation of the line is r = (-2 - 4t, -1 + 5t).

(b) The point where the line in part (a) intersects the line s(t) = (4t + 3, -3t - 4) is (1/2, -33/8).

(a) The vector equation for the line that passes through the point (-2, -1) and is parallel to vector (-4, 5).

The vector equation of the line is written as;

r = P + tD

where;

r = (-2, -1) + t(-4, 5)

r = (-2 - 4t, -1 + 5t)

(b) The point where the line in part a intersects the line s(t) = (4t +3, -3t - 4)

-2 - 4t = 4t + 3

-2 - 3 = 4t + 4t

-5 = 8t

t = -5/8

The point is calculated as;

r = (-2 - 4t, -1 + 5t)

Substitute the value of t as -5/8;

r = (-2 - 4(-5/8), -1 + 5(-5/8))

r = (-2 + 5/2, -1 - 25/8)

r = (1/2, -33/8)

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Answer:

The answer would be 51

The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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Answer: 4x+4

Step-by-step explanation:

4.x

4.1

Answer:

\(4x+4\)

Step-by-step explanation:

The distributive property of multiplication states that \(a(b+c)=a*b+a*c\), where \(a\), \(b\), and \(c\) are any real numbers. In the case of \(4(x+1)\), we know that \(a=4\), \(b=x\), and \(c=1\). Therefore, using the distributive property, \(4(x+1)=4*x+4*1=4x+4\). Hope this helps!

Answer:

Its 2

Step-by-step explanation:

(39-7) / 4^2

32 / 4^2

32 / 2^4

2^5 / 2^4 divide which gets you

2

The number makes the expression equivalent is m = 0.2584.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 12(- 1.4m + 0.4) = m + 0.2.

- 16.8m + 4.8 = m + 0.2.

- 16.8m - m = 0.2 - 4.8

- 17.8m = - 4.6.

m = (-4.6/-17.8).

m = 0.2584.

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The perimeter of this geometric figure is equal to 84x² + 2y units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W) or P = 2L + 2W

Where:

In this scenario, we would determine the perimeter of this geometric figure by adding all of the side lengths as follows;

Perimeter of this figure = 31x² + y + 14x² - y + 23x² + 5y + 16x² - 3y

Perimeter of this figure = 84x² + 2y units.

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Complete Question:

How to do this type of perimeter for algebra?

Answer:

9x + 6

Step-by-step explanation:

SOLUTION GIVEN: a number is divided by 9 and the remainder is 6,

TO DETERMINE: The remainder when six times the number is divided by 9

EVALUATION: Here it is given that the number is divided by 9 & the remainder is 6

We know that Dividend = Divisor × Quotient + Remainder 

By the given Divisor = 9

Remainder = 6

Let quotient = x

Then the number = Dividend = 9x + 6

The person was likely shot from a height between 3.8 and 30.1 mm above the location where the blood drop landed.

To determine how high up the person was shot, we can use the principles of projectile motion and the dimensions of the blood drop. Since we have the horizontal distance and the dimensions of the blood drop, we can assume that the drop followed a parabolic trajectory.

First, let's convert the distance from feet to meters for consistency. 5.1 feet is approximately 1.554 meters. Now, we need to calculate the time of flight. Since there is no information about the drop's initial velocity or angle, we cannot calculate the exact time. However, we can estimate it by assuming a reasonable range of velocities.

Let's assume the drop was traveling between 5 and 20 meters per second. With a distance of 1.554 meters, the estimated time of flight would be between 0.0777 and 0.311 seconds.

Next, we need to calculate the vertical displacement. We have the dimensions of the blood drop, with a width of 0.8 mm and a length of 2.1 mm. Assuming the drop maintained a spherical shape while in motion, we can take the average of the width and length to find the diameter. So, the diameter is approximately 1.45 mm, which is 0.00145 meters.

Using the estimated time of flight, we can calculate the vertical displacement using the formula:

Vertical displacement = (1/2) * g * t^2

where g is the acceleration due to gravity (approximately 9.8 m/s^2). Plugging in the estimated values, the vertical displacement ranges from 0.0038 to 0.0301 meters (3.8 to 30.1 mm).

Therefore, based on the given information, the person was likely shot from a height between 3.8 and 30.1 mm above the location where the blood drop landed.

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Answer: 240 tabletops

Answer:

Step-by-step explanation:

25 pound bag contains:

Number of pies:

Answer: The numerators must be the same for the fractions to be equal.

The denominator of a fraction is the bottom number. Take a look at these two fractions.

¾ & ¾

The numbers at the bottom are the same. If I eat ¾ of an apple and you eat ¾ of an apple, we both eat the same amount.

Now look at these fractions.

⅗ & ¾

They both have the same top number (numerator), but they have different denominators. If I eat ¾ of an apple and you eat ⅗ of an apple, we both do not eat the same amount.

So if both the numerator and denominator are the same they are equal.

This means that the numerators must be the same for the fractions to be equal.

I hope this helps & Good Luck <3 !!!