solve for x please and thanks

Answer:

$136.50

Step-by-step explanation:

105$ is 100%, To find out what 30% is you must first find out 10% which is $10.50. Multiply that by 3 to get 30%. Add to 105$.

The sides → 11 yards, 7 yards, 18 yards, do not represent a right angled triangle.

Given are the three sides of a triangle as shown -

11 yards, 7 yards, 18 yards.

        324 = 121 + 49

        324 ≠  170

Therefore, the sides → 11 yards, 7 yards, 18 yards, do not represent a right angled triangle.

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Area of the figure is 124 cm²

The size or extension of a two-dimensional shape or figure in a plane is used to calculate its area. It is the two-dimensional equivalent of a solid's three-dimensional volume and a curve's one-dimensional length. It can be compared to the amount of paint needed to completely cover a surface.

The International System of Units accepts the square metre, usually known as the m2, as the standard area unit (SI). The area of some of the most well-known simple forms can be calculated using the examples and equations given below.

Area of square = length x length

                            =10*10=100 cm²

Area of small rectangle = length x breadth

                           = 10*4=40 cm²

Area of two triangles together = 4 × 4

                                                = 16cm²

Total area = 100 + (40 -16)

                = 124 cm²

Thus, Area of the figure is 124 cm²

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The graph will have one horizontal line for the rest and then again an inclined line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In discrete mathematics, and more specifically in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

Given that Maxine bikes 6 miles from home. She then rests for a short time before biking 4 more miles. After a short rest, she bikes home.

The rest time will be a constant line and the 4 more miles will be an inclined line. The graph is attached with the answer below.

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The list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

An arrangement of objects where the order in which the objects are selected does not matter.

Given that  random numbers is being used to stimulate event of a basketball player making three free throws in a row

The list is given as:

860583 785814 010122 337198 621549 034076 796495 978078 433330 333153

When rearranged, we have: 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Hence, the list that represents the simulation of three free throws is 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

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To calculate the number of revolutions per minute (RPM) that the wheels of the truck make, we can use the formula:

RPM = (Speed in miles per hour) / (Wheel circumference in inches) x (12 inches/foot) x (1 minute/60 seconds) x (1 foot/5280 miles)

The wheel circumference can be calculated by using the formula C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the wheel (half the diameter).

So first we need to find the radius of the wheel:

r = 22 inches / 2 = 11 inches

Now we can calculate the wheel circumference:

C = 2πr = 2 * 3.14 * 11 inches = 69.96 inches

Now we can calculate the RPM:

RPM = (55 mph) / (69.96 inches) x (12 inches/foot) x (1 minute/60 seconds) x (1 foot/5280 miles)

RPM = 814.85

The wheels of the truck make approximately 814.85 revolutions per minute.

To calculate the angular speed of the wheels in radians per minute, we can use the formula:

ω = (RPM x 2π) / 60

ω = (814.85 x 2π) / 60 = 51.64 rad/min

The angular speed of the wheels is 51.64 radians per minute.

Answer: hope this helps

Let x be the amount borrowed from the bank that charged 6% interest and y be the amount borrowed from the bank that charged 3.5% interest. We know that:

x + y = 21,000 (the total amount borrowed)

We also know that the total interest after 1 year was $1210. The interest charged by the first bank is 6/100x = 0.06x and the interest charged by the second bank is 3.5/100y = 0.035y.

The total interest is the sum of the interest charged by both banks:

0.06x + 0.035y = 1210

We have two equations:

x + y = 21,000

0.06x + 0.035y = 1210

To find the amount borrowed from each bank, we can use the first equation to solve for one of the variables in terms of the other. For example, we can substitute y = 21,000 - x in the second equation:

0.06x + 0.035(21,000 - x) = 1210

0.06x + 735 - 0.035x = 1210

0.025x = 485

x = 19400

Now, we can substitute this value of x back into the first equation to find the value of y:

y = 21,000 - x

y = 21,000 - 19400

y = 1600

Step-by-step explanation:

On solving the provided question we can say that the sequence is 3,9,7,21,19,57,55,165, next is = 210

Sequences in which the difference between succeeding terms is constant are known as arithmetic progressions. For instance, an arithmetic progression with a tolerance of 2 is the sequence 5, 7, 9, 11, 13, and so on. An arithmetic progression (A.P.) is a progression where the tolerance between two succeeding numbers is always the same. Arithmetic progression can be of two types: There are a finite number of terms in a finite geometric progression. The series' early, late, tolerance, and number of terms can be determined. Differential equations are frequently used in everyday life to compute the flow and motion of electricity, the back and forth motion of devices like pendulums, and to clarify thermodynamic principles.

here,

the sequence is

3,9,7,21,19,57,55,165,

next is = 210

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On solving the provided question, we can say that His poster has 2 sides of equal length. so it might be square. the poster has 4 sides of equal length.

A square is an equilateral quadrilateral with four equal sides and four equal angles according to Euclidean geometry. It is also known as a rectangle with two neighboring sides that have the same length. Having all four equal sides and all four equal angles, a square is an equilateral quadrilateral. 90 degree or straight angles are square angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle. a neighboring rectangle with two equal sides. a quadrilateral with four right angles and four sides of equal length. a parallelogram having two adjacent, equal sides that form a right angle. straight-sided rhombus.

here,

His poster has 2 sides of equal length.

so it might be square.

he poster has 4 sides of equal length.

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The given above function has neither maximum nor minimum.

Given data :

The cube root function begins in Quadrant III and ends in Quadrant I.  It passes through the origin, (0,0).

Did you mean 4*∛3?  or 4*x*√3?    I will assume you meant the former, not the latter.

The graph of 4*∛3 looks the same as that of ∛3 except that the whole graph has been stretched vertically by a factor of 4.

This function has neither maximum nor minimum.

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Answer:

9

Step-by-step explanation:

1/2 divided by x =1/18

1/2=1/18*x

18*1/2=18*1/18x

x=9

Arianna North agreed to borrow $12,500 to buy a new chilli and agreed to pay back $13,250 in 270 days at an interest rate of 8.11%.

Divide this same principal by the lending rates, the duration of time, and other factors to result at simple interest. Simple return Equals principal + interest + hours is the marketing formula. This system makes it easiest to calculate interest. One of most typical technique to figuring out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrow $100 from with a friend and offers to return the loan with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an indicator of the overall of the loan total. The interest on the loan is this percentage.

given

Arianna North took out a $12,500 loan

She committed to repaying $13,250 over 270 days.

If x is the interest rate she was paying,

x= 13250 - 12500

= 750

So, x= 750/ 12500 (270/ 365)

x% = 750/ 9,246.57

x% = 0.0811

x%= 8.11%

Arianna North agreed to borrow $12,500 to buy a new chilli and agreed to pay back $13,250 in 270 days at an interest rate of 8.11%.

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Your friend would take 11.6 hours to clean the gutters when working alone.

What is the work rate?

A rate is a ratio that is used for comparing two different kinds of quantities which have different units. A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Here, we have

Given: You can clean the gutters of your house in 6 hours working together you and your friend can clean the gutters in 3.5 hours let x be the time in hours.

We have to determine an equation to find how long your friend would take to clean the gutters when working alone.

Your Work rate = 1/5

Your and your friend's work rate = 1/3.5

Your friend's rate = 1/3.5 - 1/5 = 3/35

t = 1/(3/35) = 35/3 = 11.6hours

Hence, your friend would take 11.6 hours to clean the gutters when working alone.

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The duration of one song will be 3.5 minutes.

Constant functions are the functions that are of the form -

y = f(x) = K

Given is that 12 songs in 42 minutes.

Now, for 12 songs, the duration is 42 minutes.

For 1 song, the duration will be - (42/12) minutes or 3.5 minutes.

We can represent it using a constant function as -

y = f(x) = 3.5

Therefore, the duration of one song will be 3.5 minutes.

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Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

The congruency of triangle MNO and triangle XYZ can be proven using the following two-column proof:

What in mathematics is a congruence?

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

Given: Line segment OZ bisects line segment MN and line segment XZ, and MNO is reflected across line OZ to form XYZ.

Prove: Triangles MNO and XYZ are congruent.

Statements | Reasons

OZ bisects MN, OZ bisects XZ | Given

Angle MOZ = Angle XOZ, Angle NOZ = Angle YOZ | Definition of angle bisector

∠MOZ = ∠XOZ, ∠NOZ = ∠YOZ | Using Corresponding angles postulate

∠MON = ∠XOY, ∠NOZ = ∠YOZ | Using definition of angle bisector

m∠MON = m∠XOY, m∠NOZ = m∠YOZ | Using Angle addition postulate

MN = XZ, MO = XO, NO = YO | Using Segment addition postulate

MNO ≅ XYZ | Using SAS congruence theorem

Therefore, we can conclude that the triangles MNO and XYZ are congruent.

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The expression in the form of [tex]b^n[/tex] is 8².

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

64

We need to write 64 in the form of [tex]b^n[/tex]

Now,

8 x 8 = 64

So,

8² = 64

b = 8 and n = 2

Thus,

The expression is 8².

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The graph of rectangular hyperbola represents the function f(x)=4/x.

Which graph represents the function *{(x) = 4/x?

 Given that,

Which graph represents the function f(x) = 4⌈x⌉?

Now,

to represent the graph of Y = 4 IxI.

So,

Taking x = 1, we get

Y = 4 IxI

Y = 4 I1I

Y = 4 .

Taking x = 2, we get

Y = 4 IxI

Y = 4 I2I

Y = 8

Taking x = 3, we get

Y = 4 IxI

Y = 4 I3I

Y = 12.

Taking x = -1, we get

Y = 4 IxI

Y = 4 I-1I

Y = 4×1

Y = 4.

Taking x = -2, we get

Y = 4 IxI

Y = 4 I-2I

Y = 4×2

Y = 8.

Taking x = -3, we get

Y = 4 IxI

Y = 4 I-3I

Y = 4×3

Y = 12

Property of modulus function -

IxI = x , where x is positive or negative

I-xI = x.

Therefore, from the above data we have drawn a graph of function f(x) = 4ixI.

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Answer:

Step-by-step explanation:

Oof, this question is long.

Alr,

1.

a) Time = Distance/ speed = 384000/299792.458 = 1.28 seconds

b) Time = Distance/speed = 149600000/299792.458 = 499.0 or 8.317 minutes.

2.

If the distance 4.37 light years, if we travel at the speed of light, we can reach there in 4.37 years.

so, Speed = Distance/time

Speed = 4.37 light years/100 years

Speed = 0.0437 light year/year

So, the speed would be 0.0437 x speed of light. or 13100 or 1.31 x 10⁴.

Answer: It is independent.

Step-by-step explanation: The decision of Samir to buy a house in a new neighborhood and the decision of Carson to buy a different house in the same neighborhood are independent events. They are not dependent on each other and their actions do not affect the outcome of the other person's decision. The fact that they both bought houses in the same neighborhood is a coincidence and does not impact the outcome of either decision. Samir's decision to buy a house is not affected by Carson buying a house in the same neighborhood and vice versa.

The number is shown as a quotient in mathematics, where the numerator and denominator are split.

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It indicates how many equally sized pieces of the entire thing or collection were removed. The denominator is the quantity listed below the line.

Let the given equation be [tex]$$1 / 10 \times 9 / 10$$[/tex]

Follow the PEMDAS order of operations

Multiply and divide (left to right)

[tex]$$\begin{aligned}& 1 / 10=\frac{1}{10} \\& =\frac{1}{10} \times 9 / 10\end{aligned}$$[/tex]

simplifying the equation, we get

[tex]$$\begin{aligned}& \frac{1}{10} \times 9=\frac{9}{10} \\& =\frac{9}{10} / 10\end{aligned}$$[/tex]

[tex]$$\begin{aligned}& \frac{9}{10} / 10=\frac{9}{100} \\& =\frac{9}{100}\end{aligned}$$[/tex]

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Answer:

84.71%

Step-by-step explanation:

24 out of 28:

24/28 = 0.8471

0.8471*100 = 84.71%

Answer:y=3/8+/7/8x

Step-by-step explanation:

The solution of the inequality is w ∈ (-10,2)

What is inequality?

A difference between two values indicates whether one is smaller, larger, or simply not equal to the other. In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Here the given inequality is

=> Iw+4I< 6

=> w+4< 6 and w+4>-6

=> w<6-4 and w>-6-4

=> w<2 and w>-10

=> w ∈ (-10,2)

Hence the solution of the inequality is w ∈(-10,2).

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Answer:

Step-by-step explanation: 69

Answer:

170rx−80r−17x+8

If this is simplifying!

Step-by-step explanation:

FOIL

The time that it take Sophia and Cameron to clean the small house together is 4 2/17 hours.

b. The manager is incorrect. They'll finish in about 4 hours.

From the information, Lisa is a manager at a maid service company and she has two maids working for her, Sophia and Cameron. Sophia can clean a small house in 7 hours while Cameron can clean the same small house in 10 hours.

This will be Illustrated as:

1/7 + 1/10 = 1/t

where t = time.

10/70 + 7/70 = 1/t

17 / 70 = 1/t

t = 70 / 17

t = 4 2/17 hours

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Answer:

The graph of g is B. This is because the function f(x) is shifted right by 2 units and down by 4 units, which is represented by the graph in B.

Step-by-step explanation:

The graph for function g is attached below.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

The parent function is

f(x) = ∛x

This function is transformed to obtain

g(x) = ∛(x + 2) - 4.

So, +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.

and, -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.

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Answer:

Each apple cost $1.45.

Step-by-step explanation:

To find the cost of each apple, we need to divide the total cost of $37.70 by the number of apples, which is 26.

$37.70 ÷ 26 = $1.45

Therefore, each apple costs $1.45.

Step-by-step explanation:

The formula for the surface area of a rectangular prism is SA = 2(lw) + 2(wh) + 2(lh), where l is the length, w is the width, and h is the height.

Given:

l = 2.8 yards

w = 1.19 yards

h = 6 yards

Plugging in the values:

SA = 2(2.8 * 1.19) + 2(1.19 * 6) + 2(2.8 * 6)

Simplifying and converting units to square yards:

SA = 2(3.32) + 2(7.14) + 2(16.8)

SA = 6.64 + 14.28 + 33.6

SA = 54.52 square yards.

The surface area of the rectangular prism is 54.52 square yards.