You want to go on a trip to Disney World with your friends. The trip costs $1450 and they have a special discount of 35% off. The tax rate for the package is 10%. What is the total price of the trip?

Answer:-4x+3y=1

Step-by-step explanation:

First put the equations above one another

-2x+7y=-5

-2x-4y= 6

Just add the corresponding number from the top from the one right below it

-2x plus -2x is 4x

7y plus -4y is 3y

-5 plus 6

Then bring down the equal sign

And you get

-4x+3y=1

The addition of the two equations -2x+7y=-5 and -2x-4y=6 is -4x +3y = 1.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are -2x+7y=-5 and -2x-4y=6. The equations can be added as below,

Write the two equations with the like terms adjacent to each other than perform the algebraic operation and get the final solution.

-2x+7y=-5

-2x-4y=6

________

-4x + 3y = 1

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Answer:

Option A) 0.588

Step-by-step explanation:

We are given the following in the question:

In triangle ABC

AC = 8 cm

AB = 13.6 cm

We have to find the sine ratio of angle B.

We define sine ratio of angle B as:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Putting values, we get,

[tex]\sin B = \dfrac{AC}{AB} = \dfrac{8}{13.6} = 0.588[/tex]

The attached image shows the triangle.

The correct ansqwer is

Option A) 0.588

Answer:

4^-2

Step-by-step explanation:

4^4(4^-7)(4)      I solved this separately

256(0.00006103515625)(4)         Multiply

0.015625(4)                                    Multiply

0.0625

This decimal is equivalent to 4^-2

4^-2 = 0.0625

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Final answer:

The expression [tex]4^4(4^-7)(4[/tex]) simplifies to [tex]4^-2[/tex] by adding the exponents of the same base, resulting in a single exponent expression.

Explanation:

To simplify the expression [tex]4^4(4^-7)(4)[/tex] using a single exponent, you'll need to apply the rules of exponents. When you have the same base being multiplied, you can add the exponents. Start by looking at the terms 4^4 and 4^-7. The rule says to add the exponents when multiplying: 4 + (-7) = -3. So those two terms combine to make 4^-3.

Next, we have the single 4, which can also be written as 4^1 since any number to the power of 1 is itself. Now add the exponents again: -3 + 1. This gives us[tex]4^-2[/tex], which is the expression simplified with a single exponent.

The correct answer to this problem is therefore [tex]4^-2.[/tex]

4 because

X=(6-2):2= 4:2= 2 color pencils for Janet and 2 color pencils for Talia= originally 4 pencils

Answer:

that is the answer to the question

To find the length of Y in a right triangle given X = 6 cm and Z = 10 cm, we can use the Pythagorean theorem. By substituting the values into the formula Y = √(X² + Z²), we find that the length of Y is approximately 11.66 cm.

To find the length of Y, we can use the Pythagorean theorem. Since X and Z are the lengths of the legs of a right triangle, Y represents the length of the hypotenuse.

Using the formula: Y = √(X² + Z²), we can substitute the given values: Y = √(6² + 10²) = √(36 + 100) = √136 = 11.66 cm.

Therefore, the length of Y is approximately 11.66 cm.

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Answer:

x = 15.65

y = 3.5

Step-by-step explanation:

Step 1

Find the equation for x and y

Equation for x is given as

x² = 7( 7+28) ..........Equation 1

14(14 + y) = x²........ Equation 2

Solving for Equation 1

x² = 7( 7+28)

x² = 7(35)

x² = 245

x = √245

x = 15.65

From Equation 1 , x² has been determined to be 245

Therefore we substitute 245 for y in Equation 2

14(14 + y) = x²........ Equation 2

14(14 + y) = 245

196 + 14y = 245

14y = 245 - 196

14y = 49

y = 49 ÷ 14

y = 3.5

Answer:

Factoring completely would give you the answer of ( x+5) (x^3 +4).

Step-by-step explanation:

The factor are (x³ + 4) and (x + 5).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex]x^4[/tex] + 5x³ + 4x + 20

We can find the common factor between [tex]x^4[/tex] and 5x³.

So,

x³ (x + 5) _____(1)

And,

We can find the common factor between 4x and 20.

So,

4 (x + 5) ______(2)

From (1) and (2),

x³ (x + 5) + 4 (x + 5)

= (x³ + 4) (x + 5)

Thus,

The factor are (x³ + 4) and (x + 5).

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Answer:

B

Step-by-step explanation:

Only B is correct bc if u count the amount of blocks (people) that r above 63 inches that would only be the red and purple ones.

The blue blocks r 63 in and below, so u dont count them

4 red blocks + 3 purple= 7 players

Answer:

5.236

Step-by-step explanation:

Take the square root of 5 to get rid of the ^2

You are left with [tex]3 + \sqrt{5} = 5.236[/tex]

The value of x is 0.764 and 5.236

An equation is a mathematical statement that connects two algebraic expression with an equal sign.

The given equation is

(x-3) ² = 5

x² + 9 -6x = 5

x² -6x +4 = 0

The value of x is 0.764 and 5.236.

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Answer:

Length: 7 units

Width: 1 unit

Step-by-step explanation:

The length of rectangle is 7 units.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the length of rectangle be x.

Then, width of the rectangle = x - 6

Also, Area of rectangle = 7 units

So, length x width = 7

x(x- 6)= 7

x² - 6x = 7

x² -6x -7 =0

x² -7x + x - 7=0

x( x- 7) +1 (x- 7)= 0

(x+ 1)(x- 7)=0

x= -1 or 7.

Hence, the length of rectangle is 7 units.

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Answer:

x=72 x = 7 2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

First, distribute the 9 on the left side  

9(3-2x)=2(10-8x)  

(9*3)+(9*-2x)= 2(10-8x)

27-18x= 2(10-8x)

Next, distribute the 2 on the right side

27-18x=(2*10)+(2*-8x)

27-18x=20-16x

Now, move all the numbers to one side of the equation, and the variables to the other.

27-18x=20-16x

Add 18x to both sides

27-18x+18x=20-16x+18x

27=20+2x

Subtract 20 from both sides

27-20=20-20+2x

7=2x

Now all the variables are on one side, and the numbers are on the other. x is still not by itself. It is being multiplied by 2. To undo this, divide both sides by 2

7/2=2x/2

7/2=x

Answer:

There were 60 nano-related patents granted in 1991

Step-by-step explanation:

4n-5 is 4n-5 if you do not know the variable term for n If tou can figure out what the n term is just multiply that by 4

Answer:

(C) Nathaniel can build at most 3 birdhouses.

Step-by-step explanation:

Given that:

[tex]43B+215H \leq 3000[/tex]

where:

Nathaniel wants to build 50 birds(B) using lego Blocks, we want to determine how many birdhouses(H) he can build with the remaining Lego blocks.

If B=50

[tex]43(50)+215H \leq 3000\\2150+215H \leq 3000\\\text{Subtract 2150 from both sides}\\215H \leq 3000-2150\\215H \leq 850\\\text{Divide both sides by 215}\\H \leq 3.95[/tex]

Therefore, Nathaniel can build at most 3 Birdhouses.

Answer: 3

Step-by-step explanation:

We are given that the number of birds Nathaniel wants to build using Lego blocks is \blue{50}50start color #6495ed, 50, end color #6495ed. When we substitute \blue B = \blue {50}B=50start color #6495ed, B, end color #6495ed, equals, start color #6495ed, 50, end color #6495ed in the given inequality, we will obtain an inequality for HHH alone:

\begin{aligned}43B+215H &\leq 3000\\\\ 43(\blue {50})+215H &\leq 3000 \\\\ 215H &\leq 850\\\\ H&\leq 3 \dfrac{41}{43}\end{aligned}

43B+215H

43(50)+215H

215H

H

​

≤3000

≤3000

≤850

≤3

43

41

​

​

Hint #22 / 3

So HHH must be less than or equal to 3\dfrac{41}{43}3

43

41

​

3, start fraction, 41, divided by, 43, end fraction. However, we should remember that the number of birdhouses Nathaniel can build must be an integer.

Since 333 is the biggest integer less than or equal to 3\dfrac{41}{43}3

43

41

​

3, start fraction, 41, divided by, 43, end fraction, Nathaniel can build 333 birdhouses at most with the remaining Lego blocks.

Hint #33 / 3

Nathaniel can build at most 3 birdhouses.

Answer:

[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]

Step-by-step explanation:

[tex] base~ area = 169 \pi~in.^2 [/tex]

The base of the cylinder is a circle.

The area of a circle is:

[tex] area = \pi r^2 [/tex]

We set the area equal to the formula and find the radius.

[tex] \pi r^2 = 169 \pi~in.^2 [/tex]

[tex]r^2 = 169~in.^2[/tex]

[tex]r = 13~in.[/tex]

The radius of the base is 13 inches. The height of the cylinder is also 13 inches.

[tex] volume = base~area \times height [/tex]

[tex]volume = 169 \pi~in.^2 \times 13~in.[/tex]

[tex] volume = 2197 \pi~in.^3 \approx 6902.1~in.^3 [/tex]

We have been given that a person invests 5500 dollars in a bank. The bank pays 6.75% interest compound monthly. We are asked to find the time that will take the amount to 13,200 dollars.

We will use compound interest formula to solve our given problem.  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

[tex]6.75\%=\frac{6.75}{100}=0.0675[/tex]

Upon substituting our given values in above formula, we will get:

[tex]13200=5500(1+\frac{0.0675}{12})^{12\cdot t}[/tex]

[tex]13200=5500(1+0.005625)^{12\cdot t}[/tex]

[tex]13200=5500(1.005625)^{12\cdot t}[/tex]

[tex]\frac{13200}{5500}=(1.005625)^{12\cdot t}[/tex]

[tex]2.4=(1.005625)^{12\cdot t}[/tex]

Now we will take natural log on both sides.

[tex]\text{ln}(2.4)=\text{ln}((1.005625)^{12\cdot t})[/tex]

Using natural log property [tex]\text{ln}(a^b)=b\cdot \text{ln}(a)[/tex], we will get:

[tex]\text{ln}(2.4)=12t\cdot \text{ln}(1.005625)[/tex]

[tex]t=\frac{\text{ln}(2.4)}{12\cdot \text{ln}(1.005625)}[/tex]

[tex]t=13.00635[/tex]

Upon rounding to nearest tenth, we will get:

[tex]t\approx 13.0[/tex]

Therefore, it will take approximately 13.0 years for the amount to reach $13200.

Given:

The figure contains a right triangle.

The two angles of the triangle are 45° each.

The length of one leg is 3 units.

The length of the hypotenuse is x units.

We need to determine the value of x.

Value of x:

The value of x can be determined using the formula,

[tex]cos \ \theta=\frac{adj}{hyp}[/tex]

where [tex]\theta=45^{\circ}[/tex], adj = 3 and hyp = x.

Substituting these values, we get;

[tex]cos \ 45^{\circ}=\frac{3}{x}[/tex]

Simplifying, we get;

[tex]x=\frac{3}{cos \ 45^{\circ}}[/tex]

[tex]x=\frac{3}{\frac{\sqrt{2}}{2}}[/tex]

[tex]x=3 \times \frac{2}{\sqrt{2}}[/tex]

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

Thus, the value of x is [tex]x=\frac{6}{\sqrt{2}}[/tex]

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation, to get x by itself on one side.

Since 8 is being subtracted from x, add

8 to both sides of the inequality.

On the left the -8 +8 cancels out

and on the right, -3 + 8 is 5.

So we have x > 5.

Answer:

n=2

2(n+8)=20

2n+16=20

     -16  -16

2n=4

/2   /2

n= 2

Hope this helps :)

The required value of n is 2.

We have to determine, two times the sum of a number and 8 is twenty. What is the number.

To obtain the number calculation must be done in a single unit;

Here,

Let the number be n,

And sum of number n and 8 is (n+8).

Therefore,

Two times sum of the number = 20

[tex]2 (n+8) = 20 \\\\2n + 2 \times8 = 20\\\\2n + 16 = 20\\\\2n = 20-16\\\\2n = 4 \\\\n = \dfrac{4}{2}\\\\n = 2[/tex]

Hence, The required value of n is 2.

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Answer:

[tex]5x + 2 - x + 10 \\ 5x - x + 2 + 10 \\ 4x + 12 \\ = 4(x + 3)[/tex]

hope this helps you....

Answer:

it's C my doods

Step-by-step explanation:

Yes, 9²+40²=41²

Pythagoras theorem states that, a right-angled triangle, the square of the one side is equal to the sum of the squares of the other two sides.

Pythagorean Triples where any 2 side the sum of the squares adds up to be equal the other side.

A triangle has side lengths are 40, 9 and 41

∵ 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 9²+40² = 1,681

Also, 41² = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this triangle follows the theorem, we can conclude that the triangle is a right triangle

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To rewrite the integral over an appropriate region G in the​ uv-plane, we need to use the given transformation x = u/v and y = uv. The region G is defined by certain constraints on u and v, which can be found by solving the inequalities derived from the boundaries of R in the xy-plane. Finally, we can set up and evaluate the double integral over G.

To rewrite the integral over an appropriate region G in the​ uv-plane, we need to use the given transformation x = u/v and y = uv. Let's consider each boundary of R separately:

Now, we need to find the region G in the uv-plane that corresponds to R in the xy-plane. The region G is defined by the following constraints: u^2 ≤ v, 9v ≥ u^2, uv ≤ u/v, and uv ≥ 4(u/v). Combining these constraints, we get u^4 ≤ v^2 ≤ 9u^3 and u^2 ≤ 4v. The boundaries of G can be found by solving these inequalities.

To evaluate the integral over G, we need to determine the limits of integration for u and v. Once we have the limits, we can set up the double integral of the function over G and evaluate it.

The transformation (x, y) → (x, 2y) doubles the y-coordinates of the parallelogram ABCD vertices, resulting in a new parallelogram with doubled height and consequently doubled area, demonstrating that the change in height is proportional to the original height.

The question posed relates to the effect of a transformation on the coordinates of a parallelogram's vertices. Specifically, we look at the transformation (x, y) → (x, 2y), which stretches the y-coordinates of the vertices while keeping the x-coordinates unchanged. For the given parallelogram ABCD with vertices A(0, 0), B(1, 1), C(3, 1), and D(2, 0), we apply the transformation to each vertex:

The transformation doubles the height (y-coordinate) of the parallelogram, while the base (x-coordinate) remains the same. Consequently, the area of the parallelogram also doubles, confirming that the change in height is proportional to the original height. By applying the transformation to a simple geometric figure, students can visualize and understand the properties of transformations and their effects on the shapes.

Answer:9

Step-by-step explanation:

The answer is jus 9 take the answer

Answer:

y = 225x + 28,000 (please give branliest)

Step-by-step explanation:

X = amount of tickets

Answer:1/4

Step-by-step explanation:there are four sides one is shaded so the answer is 1/4

The shaded area is equal to 1/4

Answer:

15/8

Step-by-step explanation:

The tangent of an angle is the opposite side over the adjacent side. In this case, the opposite side length is the square root of 17^2-8^2=15. This means that the tangent of angle R is 15/8. Hope this helps!

Answer:

-23

Step-by-step explanation:

-23 is the answer

The sum of the two integers if they are 5 units apart on the number line, and their product is 126 is -23

System of equations are equations that contain unknown variables with more than 1 equation.

Let the required integers be x and y.

If two negative integers are 5 units apart on the number line, then;

x - y = 5
x = 5  + y

If their product is 126, hence:

x y = 126

Substitute

5+y(y) = 126
5y + y^2 = 126
y^2 + 5y - 126 = 0

Factorize
y^2 + 14y - 9y - 126 = 0
y(y + 14) - 9(y + 14) = 0
y = 9 and  - 14

Since the integers are negative, hence;

x =  5 + y
x = 5 - 14
x = -9

Sum = -14 + (-9)
sum = -23

Hence the sum of the two integers is -23

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