11,647 rounded to the nearest hundred

Answer:

1

Step-by-step explanation:

Simplifying

3x + 2(4x + -4) = 3

Reorder the terms:

3x + 2(-4 + 4x) = 3

3x + (-4 * 2 + 4x * 2) = 3

3x + (-8 + 8x) = 3

Reorder the terms:

-8 + 3x + 8x = 3

Combine like terms: 3x + 8x = 11x

-8 + 11x = 3

Solving

-8 + 11x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 11x = 3 + 8

Combine like terms: -8 + 8 = 0

0 + 11x = 3 + 8

11x = 3 + 8

Combine like terms: 3 + 8 = 11

11x = 11

Divide each side by '11'.

x = 1

Simplifying

x = 1

Answer:

20%

Step-by-step explanation:

If 120 = 100%

  144 = x

By cross multiplication,

120x = 144 * 100

120x = 14400

x = 14400/120

x = 120%

The percentage increase is 20%

Answer:

Therefore she used (142-54)=88 pounds of type B coffee.

Step-by-step explanation:

Given, Leila's coffee shop makes a blend that is a mixture of two types of coffee.Type A coffee $4.85 per pound and type B coffee cost $5.90 per pound. She made 142 pounds of the blend for the total cost of $781.10.

The cost price of the blend per pound is = $(781.10÷142)

                                                                   =$5.5

Let , the amount type A in the blend be x

Then the amount of type B in the blend is (142-x)

The cost price of x pound of type A coffee is = $(4.85×x)  =$4.85x

The cost price of(142- x) pound of type B coffee is =$(142-x)×5.90

According to the problem,

4.85x+(142-x)×5.90 = 781.10

⇔4.85x +837.8-5.90x=781.10

⇔1.05x=56.7

⇔x=(56.7÷1.05)

⇔x=54

Therefore she used (142-54)=88 pounds of type B coffee.

Adam earned a total of £265.10 last week.

Step-by-step explanation:

Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold  and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.

Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,

Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,

Money earned for selling 42 magazines = 42 × £0.80 = £33.60,

Money earned for selling 14 books = 14 × £2.25 = £31.50,

Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 =  £65.10.

Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.

Last week's salary =  £200 +  £65.10 = £265.10.

Answer: £265.10

Step-by-step explanation:

Adam gets £200 each week.

10% of 42 magazines

Magazines opcost £8

10% × £8 = 0.10 × £8 = £0.80

42 × £0.80 = £33.60

15% of 14 books

Each book cost £15

15% × £15 = 0.15 × £15 = £2.25,

14 × £2.25 = £31.50

Last Week's Salary:

£31.50 + £33.60 = £65.10

£200 +  £65.10 = £265.10 (last weeks salary)

Answer:

[tex]x=\pm\sqrt{3}[/tex]  and they are actual solutions

Step-by-step explanation:

we have

[tex]\frac{x^2}{2x-6}=\frac{9}{6x-18}[/tex]

Factor the denominators both sides

[tex]\frac{x^2}{2(x-3)}=\frac{9}{6(x-3)}[/tex]

Simplify

[tex]\frac{x^2}{2}=\frac{9}{6}[/tex]

[tex]x^2=\frac{18}{6}[/tex]

[tex]x=\pm\sqrt{3}[/tex]

Verify

1) For [tex]x=\sqrt{3}[/tex]

[tex]\frac{\sqrt{3}^2}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}[/tex]

[tex]\frac{3}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}[/tex]

[tex]18=18[/tex] ---> is true

therefore

[tex]x=\sqrt{3}[/tex] ----> is an actual solution

2) For [tex]x=-\sqrt{3}[/tex]

[tex]\frac{-\sqrt{3}^2}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}[/tex]

[tex]\frac{3}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}[/tex]

[tex]18=18[/tex] ---> is true

therefore

[tex]x=-\sqrt{3}[/tex]  ----> is an actual solution

therefore

Answer:

The answer is A!

Step-by-step explanation:

Answer:

if you want to solve for t: t = 6s / 5

if you want to solve for s: s = 5t  / 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

zxy or xyz or z×x×y

Final answer:

The mathematical expression for 'the product of z, x, and y' is simply 'zxy' or 'z  times x  times y', which indicates that the three variables are being multiplied together to form a product.

Explanation:

To translate "the product of z, x, and y" into a mathematical expression, we represent multiplication using either the multiplication sign (times) or simply by juxtaposition (placing the variables next to each other). Thus, the product of the variables z, x, and y is represented as z  imes x  imes y or simply as zxy. This expression shows that z, x, and y are being multiplied together to give a Mathematical Result.

In mathematics, when expressions are evaluated and produce the same value, they are known as equivalent expressions. For example, the expression (5 - 3xy) is evaluated by following the order of operations, which in this case involves subtracting the product of 3 and xy from 5. If x, y, and z are treated as three independent variables, it is also possible to represent their product in the form of a Multiple or Product, like so: xyz.

The simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is 64 - 6√ * b - 283√ * c - 127√.

To simplify the expression 4147−−−√ a - 37√ . b - 283√ . c - 127√, we can first try to identify any common factors among the terms.

However, since each term involves a different square root, it's not possible to simplify the expression further using common factors.

To proceed, we can try to simplify each term individually. For instance, we can simplify 4147−−−√ by identifying that 4147 is a perfect square. Since 4147 = 64 * 64, we can rewrite the expression as:

4147−−−√ = √(64 * 64) = 64

Similarly, we can simplify 37√ . b by identifying that 37 is a perfect square. Since 37 = 6 * 6, we can rewrite the expression as:

37√ . b = √(6 * 6) * b = 6√ * b

Applying the same logic to the remaining terms, we get the simplified expression:

64 - 6√ * b - 283√ * c - 127√

Therefore, the simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is:

64 - 6√ * b - 283√ * c - 127√

Answer:

si amuigos  hasta luego to es bien cien nueve

Step-by-step explanation:

Answer:

is

47 degree fahrenheit

The high temperature in degrees Fahrenheit was [tex]\( 59^\circ \)[/tex] Fahrenheit.

To convert a temperature from Celsius to Fahrenheit using the formula  F = 1.8C + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius, you simply plug in the value of C and solve for F.

Given that the high temperature in the mountain city was [tex]\( 15^\circ \)[/tex] Celsius, we can plug this value into the formula:

F = 1.8 * 15 + 32

F = 27 + 32

F = 59

So, the high temperature in degrees Fahrenheit was [tex]\( 59^\circ \)[/tex]Fahrenheit.

Answer:

42

Step-by-step explanation:

42/2 = 21

42/3 = 14

Answer:

54 is what I thought of.

Hence, After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse. Hence, At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.

Answer:

the answer is the ship is traveling at 21.25 MPH, started 10.5 miles from lighthouse and after 11 hours will be 244.25 miles from the lighthouse.

Step-by-step explanation:

Answer:

1. False

2. True

3. True

Step-by-step explanation:

1. ∠AHB and ∠AHG are vertical angle       False

2.∠EHF and ∠DHE are adjacent angle      True

3. The measure of ∠FHG is equal to the measure ∠DHF  True

The interest that he gains after 3 years is $9282.

Step-by-step explanation:

⇒ SI = (44200 × 7 × 3)/100

⇒ SI = 442 × 7 × 3

⇒ SI = $9282

Answer:

  9375 : 5625

Step-by-step explanation:

The total of the ratio units is 5+3=8, so each ratio unit stands for ...

  15000/8 = 1875

Multiply each number of ratio units by this value to get your division:

  5(1875) : 3(1875) = 9375 : 5625

{(-2, 6), (-5, -1), (3, 7), (-5, 0)}

Domain: The domain is all the x-values (-2, -5, 3, -5)

Range: The range is all the y-values (6, -1, 7, 0)

Function: It's not a function because of the x-value -5 is repeating.

Answer:

Step-by-step explanation:

domain (ur x values) = [ -5,-2,3 ]...only write repeating values once

range (ur y values) = [ -1,0,6,7]

a function will not have any repeating x values....it can have repeating y values, just not the x ones...all x's have to be different

therefore, this is not a function because u have repeating x values of -5

Answer:

Therefore the results from adding the equation in this system is

[tex]7x=-35[/tex]

Step-by-step explanation:

Given:

Equations as

[tex]11x-3y=-17[/tex]         .......................1

[tex]-4x+3y=-18[/tex]         .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "3y" term will get cancel and the like terms will combine that is add (11x and -4x ) and ( -17 and - 18)  as shown below

           11x     -    3y    = -17

           -4x    +   3y     = - 18

-------------------------------------------

           7x     + 0        =  - 35

---------------------------------------------

Therefore the results from adding the equation in this system is

[tex]7x=-35[/tex]

Answer:

C

Step-by-step explanation:

did test

Step-by-step explanation:

By angle bisector property:

[tex] \frac{w}{30} = \frac{15}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{6 \times 5} \\ \\ \therefore \: w = 3 \times 5\\ \\ \huge \orange{ \boxed{ \therefore \: w = 15}}[/tex]

3m=s

Where m= math homework and s= science homework.

nannie

Answer:

[tex]average\ speed = 36\ mi/hr[/tex]

Step-by-step explanation:

Given:

Each city is exactly 120 miles from the other two.

Average rate from city A to city B = 60 mi/hr

Average rate from city B to city C = 40 mi/hr

Average rate from city c to city A = 24 mi/hr

We need to find the Dale's average rate for the entire trip.

Solution:

First we find the total time and total distance by following way.

Time taken to travel from A to B = [tex]\frac{Distance}{Speed} = \frac{120}{60}= 2\ hr[/tex]

Time taken to travel from B to C = [tex]\frac{Distance}{Speed} = \frac{120}{40}= 3\ hr[/tex]

Time taken to travel from C to A = [tex]\frac{Distance}{Speed} = \frac{120}{24}= 5\ hr[/tex]

So, total time taken = [tex]2+3+5=10\ hr[/tex]

Total distance =  120 + 120 + 120 = 360 miles

Using average speed formula.

[tex]average\ speed = \frac{Total\ distance}{Total\ time\ taken}[/tex]

[tex]average\ speed = \frac{360}{10}[/tex]

[tex]average\ speed = 36\ mi/hr[/tex]

Therefore, the average rate for the entire trip [tex]average\ speed = 36\ mi/hr[/tex]

Do 4x^2 = 16x

16x+6 = 40

     -6    -6

16x = 34

/16    /16

x=2.125

Rounded to the nearest hundredth is, 2.13

IF THIS IS HELPFUL PLS GIVE ME BRAINLIEST AND ANSWER MY MATH PROBLEM.

Answer:

-2.92 and 2.92

i took the test

Answer:

0.073

Step-by-step explanation:

The question is about growth function and you are asked to find out the growth rate. Growth function has a format of

y = a(1+r)^t

Where

y= future value = S(t)

a= current value = 273

r= growth rate

t= time =t

Since its a growing function, the r will be positive. If its decay function then the r will be negative. As you can see, the growth rate value is located inside the parentheses. The growth rate of the function should be:

(1+r)= (1.073)

r= 1.073- 1

r= 0.073

To solve the equation 3 + 4n/n = 7b for n, you can cancel out the n in the numerator and denominator. Then, subtract 3 from both sides of the equation and divide by 7 to solve for b.

To solve the equation 3 + 4n/n = 7b for n, we need to isolate n on one side of the equation. First, we can simplify the equation by canceling out the n in the numerator and denominator, as they are dividing each other. This leaves us with 3 + 4 = 7b. Next, we can subtract 3 from both sides of the equation to get 4 = 7b - 3. Finally, we can divide both sides of the equation by 7 to solve for b: 4/7 = b.

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He will need to cut altogether 12 inches to fit on the top if h buys 2 to adjust on the double desk.

Step-by-step explanation:

Answer:

Explanation:

The figure attached shows the three squares that you have to fill to complete the table to summarize the different theorems to prove triangles are congruent.

1. SAS

SAS stands for Side Angle Side. That means that whenever two sides and the included angle on one triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent.

Thick marks are used to mark the corrsponding parts, sides or angles that are congruent. That is why the two triangles to the first triangles on the image (on the upper square to the right) are marked:

In that way, the figures show two triangles, with two congruent sides and the included angle congruent, to prove that the two triangles are congruent by the SAS theorem.

2. ASA

ASA stands for Angle Side Angle.

The ASA congruency theorem states that if two angles of a triangle and the included side are congruent, then the two triangles are congruent.

Thus you have to add the legend "Two congruent angles with and included side", which means that if the two angles and the included side on one triangle are congruent to two angles and the included side of other triangles, then both triangles are congruent.

The rule to mark the sides and angles that are congruent is with the use of thick marks. This is how it was done in the drawing of the two triangles in the lower right square:

Answer:

28-c3+6=0

Collect like terms

28-6=c3

22=c3

Divide both sides by 3

22/3=c3/3

C=7

To evaluate the expression 28-c3+6, you must know the value of 'c'. Assuming c3 means c cubed, then you would calculate 'c' cubed, subtract it from 28 and then add 6. Without a value for 'c', we cannot compute a definitive answer.

To solve this mathematical expression, we must first understand what c3 means. In this case, 'c' and '3' are variables and without a given value for 'c' we cannot fully evaluate it. However, if we assume that 'c3' means 'c' cubed then, we can proceed with that understanding. Cubing a number means multiplying it by itself twice. For example, if c=2, then c cubed would be 2*2*2=8.

Next step is to follow the rules of the order of operations, often remembered by the acronym PEMDAS - Parentheses, Exponents, Multiplications and Divisions (from left to right), Additions and Subtractions (from left to right).

Therefore, given the expression 28-c3+6, you would first calculate 'c' cubed and then perform the remaining operations from left to right. If 'c' was 2, your expression would look like this: 28-8+6. Following PEMDAS, subtraction comes before addition, so you subtract 8 from 28 which is 20 and then add 6 to that, giving a result of 26. But remember, without knowing the true value of 'c', we cannot definitively solve the expression.

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