The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. A.8.54 B.9.54 C.11.00 D.24.00

Answer:

[tex]13=29-x[/tex]

[tex]x=29-13[/tex]

Step-by-step explanation:

Given equation is [tex]13 + x = 29[/tex]

Solve the given equation for x, subtract 13 from both sides

[tex]x=16[/tex]

Now we solve each equation given for x

[tex]29 + 13 = x[/tex], x=42

[tex]13=29-x[/tex], subtract 29 from both sides

[tex]-16=-x[/tex] divide both sides by -1

x=16

[tex]x=29-13[/tex], x= 16

[tex]13-x=29[/tex] subtract 13 from both sides

[tex]-x=16[/tex] divide both sides by -1

x=-16

Option B  and C gives the same solution x=16

The number 0.484924024 is non-terminating, and the non-repeating decimal number is an irrational option (D) is correct.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that:

The numbers are given in the options.

As we know from the definition of irrational and rational, the numbers in all real numbers cannot be represented as rational numbers.

The decimal expansion of the rational number is terminating or non-terminating recurring.

The decimal expansion of the irrational number is non-terminating and non-repeating.

The number 0.484924024 is non-terminating

Thus, the number 0.484924024 is non-terminating, and the non-repeating decimal number is an irrational option (D) is correct.

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To solve the expression 64.3-3x2 to the third power divided by 2, simplify inside the parentheses, raise the result to the third power, and divide by 2.

To solve the expression 64.3-3x2 to the third power divided by 2, we need to follow the order of operations, which is parentheses, exponents, multiplication, and division from left to right.

First, let's simplify the expression inside the parentheses: 64.3-3x2 = 64.3-6 = 58.3

Next, we raise the result to the third power: 58.3^3 = 19671.327

Finally, we divide the result by 2: 19671.327 / 2 = 9835.6635

The school can buy either 7 or 8 computers within the given budget of $8,000.

To determine the possible number of computers the school can buy, we need to divide the budget by the cost of each computer. The budget is $8,000 and each computer costs $1125.

Using division, we can calculate:

$8,000 / $1125 = 7.11 (rounded to 2 decimal places)

Therefore, the school can buy either 7 or 8 computers within the given budget.

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The x-intercept of a line with a slope of -3 and a y-intercept of 3 is 1(C). This is calculated by setting y = 0 in the equation of the line (y = -3x + 3) and solving for x.

The question is asking for the x-intercept of a line with a slope of -3 and a y-intercept of 3.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Here, m = -3 and b = 3.

The x-intercept of a line is the x-coordinate where the line crosses the x-axis. At the x-intercept, the y-coordinate is 0 because it's on the x-axis. Therefore, we set y = 0 in our equation and solve for x: 0 = -3x + 3.

By adding 3x to both sides and then dividing by -3, we find that x = 1. So, the x-intercept of the line is 1(C).

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The correct equation that represents a line with a negative slope and a y-intercept of 10 is 20x + 5y = 50, which rearranges to y = -4x + 10 in slope-intercept form.

The question asks us to select the equation where the graph of the line has a negative slope and a y-intercept equal to 10. To find this, we need to rearrange each equation to the slope-intercept form, which is y = mx + b, where 'm' stands for slope and 'b' stands for y-intercept.

Let's analyze each equation:

Thus, the correct equation is 20x + 5y = 50, which, when written in the slope-intercept form, displays a negative slope and meets our specification of a y-intercept equal to 10.

Final answer:

The equation with a graph that has a negative slope and a y-intercept of 10 is 20x + 5y = 50, when rearranged into slope-intercept form, it shows a slope of -4 and a y-intercept of 10.

Explanation:

To find the equation in which the graph of the line has a negative slope and a y-intercept equals 10, we need to convert the given equations into slope-intercept form, which is y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept.

Starting with each equation:

10x + 5y = -25 can be rearranged to 5y = -10x - 25, and then y = -2x - 5. Here, the slope (m) is -2, which is negative, but the y-intercept (b) is -5, not 10.

5x - 10y = -12 rearranged gives -10y = -5x - 12, and then y = (1/2)x + 1.2. This line has a positive slope, not a negative.

20x + 5y = 50 is rearranged to 5y = -20x + 50, and then y = -4x + 10. This line has a negative slope (-4) and the y-intercept is 10, so this is the correct equation.

Finally, 2x + 6y = 10 rearranged gives 6y = -2x + 10, and then y = -(1/3)x + (10/6), which simplifies to y = -(1/3)x + 1.6667. The slope is negative, but the y-intercept is not 10.

Therefore, the correct equation is 20x + 5y = 50, because its graph has a negative slope and y-intercept of 10.

The ordered pair (5, 2) is the solution to the equation y = x - 3.

Explanation:

To find the solution to the equation y = x - 3, we need to substitute the x-value and see if the resulting y-value matches. Let's check each ordered pair:

For (-2, 5), substituting x = -2, we get y = -2 - 3 = -5, not a match.

For (-5, 2), substituting x = -5, we get y = -5 - 3 = -8, not a match.

For (2, 5), substituting x = 2, we get y = 2 - 3 = -1, not a match.

For (5, 2), substituting x = 5, we get y = 5 - 3 = 2, which is a match!

Therefore, the ordered pair (5, 2) is the solution to the equation y = x - 3.

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The probable question can be: Which ordered pair is a solution of the equation y=x - 3?

a. (-2,5)

b. (-5,2)

c. (2,5)

d. (5,2)

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Answer:

6

Step-by-step explanation:

Five added to 2 times a number is equal to 7 less than 4 times the number

Five is added to 2 times a number 2x + 5

7 less than 4 times the number 4x - 7

Put them together

2x+5=4x-7

2(6)+5=17

4(6)-7=17

x=6

Answer:

THE ANSWER IS A and I GO TO AMANA ACADEMY CHARTER SCHOOL

Step-by-step explanation:

Yunika downloaded four applications for $2.99 each to her cell phone. So, these four applications cost a total of $11.96.

Each remaining application that Yunika downloaded cost $1.99. Since  represents the total number of applications, then ( - 4) represents the number of $1.99 applications she downloaded.

Therefore, the equation that can be used to find how much Yunika spent on cell phone application downloads is shown below.

= 1.99( - 4) + 11.96

Final answer:

The equation to represent the total amount spent by Yunika on cell phone application downloads is y = 1.99(x - 4) + 11.96, which corresponds to option A.

Explanation:

To find the equation representing the total amount spent by Yunika on cell phone application downloads, we can let y represent the total amount spent and x represent the total number of applications downloaded. As given, Yunika downloaded four applications at $2.99 each which gives us a fixed cost of 4 applications × $2.99 = $11.96. The remaining applications cost $1.99 each, so for every application after the first four, Yunika spends $1.99. The total amount spent, y, can thus be calculated by multiplying the number of additional apps (which is x - 4) by their cost ($1.99), and then adding the fixed cost ($11.96).

Therefore, the equation can be written as y = 1.99(x - 4) + 11.96, which matches option A. This equation takes into account both the initial fixed cost for the first four apps and the variable cost for the remaining apps.

38/1558

       The answer is 41.78941

       38/1588

            -152

            68

-           38

            300

-           266

            340

-           304

           360

-           342

            180

-           152

               38

-              38

                0           

The answer is 41.78941

38/1588

-152

68

-  38

 300

-266

340

-304

360

-342

180

-152

38

-38

  0 

To find two fractions whose product is -3/5, we can choose any two fractions that follow the rules of multiplying fractions. For example, the fractions 1/5 and -3/1 or -4/5 and 3/4 both have a product of -3/5.

To find two fractions whose product is -3/5, we need to consider the rules of multiplying fractions. When we multiply two fractions, we multiply their numerators to get the new numerator and multiply their denominators to get the new denominator. In this case, we can choose any two fractions that satisfy these rules and have a product of -3/5.

For example, let's consider the fractions 1/5 and -3/1. When we multiply these fractions, we get (1 × -3) / (5 × 1) = -3/5.

Another example is the fractions -4/5 and 3/4. When we multiply these fractions, we get (-4 × 3) / (5 × 4) = -12/20, which can be simplified to -3/5.

In the given linear equations, we can use the equation y=12x-4 to create a table of earnings for different numbers of hours Francisco might work, taking into account his transportation costs. For example, if he does not work he loses $4 (-$4); if he works one hour he earns $8; if he works two hours he earns $20; if he works three hours he earns $32.

In the equation y=12x-4, 'x' represents the number of hours Francisco works, and 'y' gives his earnings after transportation costs. Let's start creating a table using different values for 'x (hours)'.

So, the table would look something like this:

This table provides four possible combinations of hours worked (x) and the corresponding earnings (y), taking into account the cost of transportation.

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Final answer:

To obtain 16 using the numbers 1, 2, 3, and 4 with addition and multiplication, the expression is 4 x (3 + 1). To reach 816, place 8 in the hundreds place by calculating 8 x 100 and add the previously obtained 16.

Explanation:

To create an expression that evaluates to 16 using the numbers 1, 2, 3, 4 each only once and the operations + or x as many times as you like, we can use the following expression:

4 x (3 + 1) = 16

To write an expression that evaluates to 816 using our 16, simply prepend the number 8 to 16, which can be done by using multiplication and addition as follows:

8 x 100 + 4 x (3 + 1) = 800 + 16 = 816

This utilizes the concept that numbers can be broken down into sums of multiples of powers of 10 (place value), which is a fundamental principle in mathematics.

The function P=34h+50 represents Talia's earnings, P, for driving h hours. The correct option is B.

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 Talia drives a bus. The function P=25h+50 represents her daily pay, in dollars, for working h hours. She picks up 45 passengers per hour. She also receives $0.20 for each passenger she picks up. The function B=45h·(0.20) represents the amount she earns for her bonus.

The total earnings will be calculated as,

TE = 25h + 50 + 45h.(0.2)

TE = 25h + 50 + 9h

TE = 34h + 50

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The local hamburger shop sold 275 hamburgers on Friday, which was determined by setting up a system of equations to find the individual sales of hamburgers and cheeseburgers based on the given total sales and difference in numbers.

The question asks us to determine how many hamburgers were sold on a specific day, given the total number of hamburgers and cheeseburgers and the difference in their individual sales numbers. Let's denote the number of hamburgers sold as H and the number of cheeseburgers as C. We are told that the total number of burgers sold is 605, so we can write the equation H + C = 605. We also know there were 55 more cheeseburgers sold than hamburgers, giving us the equation C = H + 55. To find the number of hamburgers sold, we need to solve these two equations simultaneously.

Substituting the second equation into the first, we get:

Therefore, the hamburger shop sold 275 hamburgers on Friday.

Answer:

The distance between point A and the point B is:

6 Units.

Step-by-step explanation:

The Cartesian plane is known as 2 perpendicular number lines between them, one horizontal and one vertical, which are cut at a point called the origin.

And the coordinates are given by the values ​​of X and Y (x, y)

Where X are horizontal values ​​and Y are vertical values.

By placing the point (−1, 3) and the point (−7, 3) we realize that two values ​​of Y are exactly the same on the line.

But the values ​​of X are different from each other, so the units of the distance between them are counted.

-7U - (- 1U) = -6U

But since the distance units cannot be negative then the answer is 6 units of distance.

Answer:

The area of a kite is 144 ft².

Step-by-step explanation:

Given information: AE = 6 ft , BE =9ft , and DE = 15ft .

Area of kite is

[tex]A=\frac{1}{2}d_1d_2[/tex]

where, [tex]d_1\text{ and }d_2[/tex] are diagonals of kite.

From the given figure it is clear that BD and AC are diagonals of the kite.

[tex]d_1=BD=BE+DE=9+15=24[/tex]

[tex]d_2=AC=AE+CE=6+6=12[/tex]

The area of given kite is

[tex]A=\frac{1}{2}\times 24\times 12[/tex]

[tex]A=144[/tex]

Therefore the area of a kite is 144 ft².