Given: △ABC, m∠A=60° , m∠C=45°, AB=8 Find: Perimeter of △ABC and the Area of △ABC

The commutative property is a property of addition, not of subtraction. It can work in a subtraction problem if you keep the sign with the number, so you're adding positive and negative numbers.

3 - 6 + 5

= (3) + (-6) + (5)

= (3) + (5) + (-6)

= 3 + 5 - 6

4!(7 – 4)! is equivalent to (4!)(3)!

3! = 3*2*1 = 6, and 4! = 4(6) = 24.

Thus, 4!(7 – 4)! = 24(6) = 144

1. To simplify -(x-4) change the sign on each term inside parenthesis:

-(x-4) would become -x+4

The answer is B.

2. -4xy / 3x

Cancwl the common factor out

-4xy / 3x  (cross out the x's)

-4y /3

The answer is C.

Answer:

C thank you next

Step-by-step explanation:

Answer:

1887

Step-by-step explanation:

You can do this by putting the value -5 where x is in the expression, using synthetic division, or letting a calculator evaluate the function. (Likely a calculator is involved, regardless.)

Shown in the attachments are a couple of these methods.

N=(1/6)rm

Solve for r

[tex]N = \frac{1}{6} rm[/tex]

[tex]N = \frac{1}{6}*r*m[/tex]

To remove the fraction 1/6, we multiply both side by reciprocal 6/1

[tex]N\frac{6}{1}= \frac{1}{6}*r*m\frac{6}{1}[/tex]

6N = rm

Now divide by m on both sides

[tex]\frac{6N}{m}= \frac{r}{m}[/tex]

[tex]\frac{6N}{m}= r[/tex]

We solved for r

[tex]r = \frac{6N}{m}[/tex]

Answer:

r = [tex]\frac{6N}{m}[/tex]

Step-by-step explanation:

Given an equation in terms of N on the left side and r, m variables on the right side.

Instead of N on left side we have to bring r on left side alone and other terms on right side to get formula for r.

For this multiply the given equation first by 6.

6N = rm

Now divide by m

r = [tex]\frac{6N}{m}[/tex]

This is the formula for r in terms of N, m.

27 games were lost

fraction of games lost = 1 - [tex]\frac{5}{14}[/tex] = [tex]\frac{14}{14}[/tex] - [tex]\frac{5}{14}[/tex] = [tex]\frac{9}{14}[/tex]

number of games lost = [tex]\frac{9}{14}[/tex] of 42

                                     = [tex]\frac{9}{14}[/tex]× 42 = 27

The team played 42 games and won 5/14 of them, which equals 15 games. Subtracting the number of games won from the total number of games played gives the total number of games lost, which is 27.

The team played 42 games and won 5/14 of them. To find out how many games were lost, we first have to find out how many they won. 5/14 of 42 games is 15 games. So, they won 15 games. Now, to find out how many games were lost, we need to subtract the number of games won (15 games) from the total number of games played (42 games). Therefore, 42 games - 15 games = 27 games. So, the team lost 27 games.

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4. There are no data for prices other than integer values in the range $11 to $16. For example, there is no data for a price of $11.50, or for a price of $17.

5. insufficient information

All choices agree that it is "six and (something)".

So, you're asked to figure out whether 0.2 + 0.07 = 0.27 is

You can start with the original expanded form to decide

... (2 × 0.1) + (7 × 0.01) = (20 × 0.01) + (7 × 0.01)

... = (20+7) × 0.01 = (27 × 0.01)

Since you know 0.01 is 1 hundredth, you know the correct choice is ...

... six and twenty-seven hundredths

the answer would be -six and twenty-seven hundredths

To calculate the interest due after missing a payment, add any late fees to the unpaid bill and apply the monthly interest rate to the outstanding balance. Interest compounds monthly, so it's crucial to pay off the debt quickly to prevent the balance from growing.

To compute the interest due on the next bill after missing a payment for a bill, you need to consider any late fees in addition to the compounded interest. For a credit card company that charges a flat rate of $10 for a late payment and a daily rate of $5 for each day the payment remains unpaid, you would add these fees to the subtotal of the unpaid bill. Additionally, most creditors use a formula to calculate minimum payments and interest on the outstanding balance, typically on a monthly basis.

The interest on the next bill is calculated by multiplying the balance you owe by the interest rate that is applied each month. If you continue to carry a balance from month to month, this interest will be added to your outstanding balance, which will increase the amount you owe. It is important to pay off credit card debt as promptly as possible to avoid accruing additional interest.

You can write equations for total pay, but in the end, you want to find the amount of sales that makes the difference in commission make up for the difference in base pay.

... (commission rate difference) × sales = (base pay difference)

To find the sales, divide by its coefficient:

... sales = (base pay difference)/(commission rate difference)

Sales = (20,000 -17,000)/(.12 -0.05) = 3000/0.07 ≈ 42,857.14

You need to sell more than $42,857.14 for option A to pay more.

Sales = (25,000 -20,000)/(.09 -.03) = 5000/0.06 ≈ 83,333.33

You need to sell more than $83,333.33 for option A to pay more.

_____

In each case, total pay is ...

... total pay = (base pay) + (commission rate) × sales

For the two options to give the same total pay, the difference in total pay is zero. That occurs when ...

... 0 = (base pay₁) + (commission rate₁) × sales -((base pay₂) + (commission rate₂) × sales)

... 0 = (base pay₁) - (base pay₂) - sales × ((commission rate₁) -(commission rate₂))

Solving for sales, we get the above result:

... sales = ((base pay₂) -(base pay₁))/((commission rate₁) -(commission rate₂))

Solution 8:

We are given base salary of 17000 and 12% of sales.

Les us say salesperson does sales of x amount.

So 12% of x is 0.12x

Total salary = 17000+0.12x

In second case base salary is $20000 and commission of 5% of sales.

Total salay=20000+0.05x

Now for option A to pay more we have:

[tex]17000+0.12x>20000+0.05x[/tex]

Solving we get:

[tex]0.07x>3000[/tex]

x>42,857

Answer: Option A need to make sales of $42,857 more.

Solution 9:

We are given base salary of 20000 and 9% of sales.

Les us say salesperson does sales of x amount.

So 9% of x is 0.09x

Total salary = 20000+0.09x

In second case base salary is $25000 and commission of 3% of sales.

Total salay=25000+0.03x

Now for option A to pay more we have:

[tex]20000+0.09x>25000+0.03x[/tex]

Solving we get:

[tex]0.06x>5000[/tex]

x>83,333.33

Answer: Option A need to make sales of $83,333.33 more.

3x + 9y - 18 = 180

3x = 9y - 18

Which means

3x = 90

9y - 18 = 90

Solving for each:

x = 90/ 3

x = 30

And

9y = 108

y = 108/9

y = 12

Answer: x = 30 , y = 12

The values of x and y are 33 and 13, respectively. To find these, we used the properties of a linear pair of angles being equal and supplementary, which led us to a system of equations that we solved for both variables.

When two angles form a linear pair with equal measures, they are supplementary and equal to each other. Therefore, the sum of their measures is 180 degrees. Since both angles in the linear pair are equal, we can set them equal to each other to find the values of x and y.

The first angle is given as 3x degrees and the second angle is given as (9y - 18) degrees. Since they are equal, we can set up the equation:

3x = 9y - 18

To find the value of x and y, we also need to use the fact that angles in a linear pair add up to 180 degrees. Thus:

3x + (9y - 18) = 180

Substituting the value of 3x from the first equation into the second:

3x + 3x = 180 + 18

6x = 198

x = 33

Now substituting the value of x back into the first equation to find the value of y:

3(33) = 9y - 18

99 = 9y - 18

9y = 117

y = 13

The values of x and y are therefore 33 and 13, respectively.

70 m * .54=37.8 METERS

You can eliminate fractions by multiplying the whole thing by 7.

... -x +28 ≥ 21x

Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.

... 28 ≥ 22x

... 28/22 ≥ x

This fraction can be reduced, so we have ...

... A. x ≤ 14/11

Answer:

0.25

Step-by-step explanation:

we have to use the following formula here-

[tex]a^{-m}= \frac{1}{a^{m}}[/tex]

Now, here we get,

[tex]2^{-2}[/tex]

So, applying the formula we get

[tex]2^{-2}= \frac{1}{2^{2}}= \frac{1}{4} =0.25[/tex]

So, the answer is     0.25

[tex]2^{-2}[/tex] = [tex]\frac{1}{4}[/tex]

using the law of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{}a^{m}[/tex]

[tex]2^{-2}[/tex] = [tex]\frac{1}{}2^{2}[/tex] = [tex]\frac{1}{4}[/tex]

This is because the total needs to be equal to 180 degrees. Since obtuse angles are greater than 90 degrees, then it needs an acute angle (lower than 90 degrees) to supplement it to equal 180

The value p is an upper bound on the real roots of the polynomial if division of the polynomial by (x-p) results in quotient terms that all have positive coefficients.

The value q is a lower bound on the real roots of the polynomial if division of the polynomial by (x-q) results in quotient terms that alternate signs.

_____

The division can be either synthetic division or long division.

_____ ______

An upper bound on the magnitude of the roots can be found this way:

There are various refinements, including finding the sum of the ratios of successive coefficients, or taking increasing roots of the ratios found above, then doubling the maximum of those.

Use synthetic division to find the values of the polynomial function for consecutive integers. An integer that produces no sign change in the quotient and the remainder is an upper bound. To find a lower bound of a function, find an upper bound for the function of -x. The lower bound is the negative of the upper bound for the function of -x.

That is the right answer as I just finished the 10 practice problems on E2020

169+354=523 I think thats what you were asking

Algebraic is your answer

In a numerical fraction, there can only be numbers and the operation that is connected with the numbers

In an Algebraic fraction, not only can you have numbers and operation, you can also have variables.

~Rise Above the Ordinary, Senpai

700,000,000 = 7.00E8 bytes of data.  Then, 2 such cd's will hold 2(7.00E8 bytes of data) = 1.4E9 byes of data (answer)

3x/6 +1 = 7

Subtract 1 from each side:

3x/6 = 6

Multiply both sides by 6:

3x = 36

Divide both sides by 3:

X = 36 / 3

X = 12

x = 12

given [tex]\frac{3x}{6}[/tex] + 1 = 7 ( subtract 1 from both sides )

[tex]\frac{3x}{6}[/tex] = 6 ( multiply both sides by 6 )

3x = 36 ( divide both sides by 3 )

x = 12

The total volume of water that the bucket and jar hold together is found by adding the liters the bucket holds (c) and the liters the jar holds more than the bucket (d). Therefore, the expression for total volume is c + d.

The subject of the question is simple addition in Mathematics. To solve this, we need to add the liters of water the bucket holds (represented by c) and the liters of water the jar holds (represented by d liters more than the bucket). On this basis, the equation is as follows: total liters = c + (c + d).

However, as the question states that the jar holds d liters more than the bucket, not that it holds d liters more than the total amount in the bucket, the correct equation to find out the total volume of water in both the bucket and the jar together is: total liters = c + d.

So, if the bucket holds 5 liters of water (c=5) and the jar holds 2 liters more (d=2), then together, they hold 5 + 2 = 7 liters of water.

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Answer:

110

Step-by-step explanation:

$5 + $5 = $10

Terence owes both his parents a total of $10

Hope this helps you

-AaronWiseIsBae

D

the graph of g(x) is the graph of f(x) translated 4 units down

I looked at them and i'm not sure its d but you should try d.

1. 12 pages per minute

The answer is D. because they are the same shape and have the same dimensions.

The solution is Option A.) D

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

From the given figure , we can see that only figure represents the same exact figure as per the pre-image

Now , a translation moves a figure only up , down or from side to side

The figure in the image is only translated by a scale factor and no other changes are happening or no other transformations occur.

So , it is clear from the options that the image D is the only possible outcome where a translation of the shaded figure takes place.

Hence , the solution is figure D

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Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...

... 30-60-90: 1 : √3 : 2

... 45-45-90: 1 : 1 : √2

The long side of ΔMDX is 10√3, so the other two sides are

... MX = MD(√3/2) = 15

... DX = MD(1/2) = 5√3

The short side of ΔMNX is MX = 15, so the other two sides are

... NX = MX(1) = 15

... MN = MX(√2) = 15√2

Then the perimeter of ΔDMN is ...

... P = DM + MN + NX + XD

... P = 10√3 +15√2 + 15 + 5√3

... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN

The Perimeter of △DMN is 35.9

First step

sin 45 / 10 = sin 60/ x

x = sin 60 × 10 / sin 45

= √(3)/2 × 10 × 2 / √(2)

= √(3) / 2 × 10 ×√(2)

= 5 × √(6)

Second step

sin 45 / 10 = sin 75 / y

y = sin 75 × 10 / sin 45

= sin 75 × 10 × 2 / √(2)

= sin 75 × 10 ×√(2)

= 13.066054

Now let determine Perimeter of △DMN

Perimeter of △DMN=10 + 5*√(6) + 13.06605425

Perimeter of △DMN= 35.90770275                      

Perimeter of △DMN=35.9

Inconclusion  Perimeter of △DMN is 35.9                                

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