Simplify the expression (x12)3

The value of b that will cause the system to have an infinite number of solutions is 6.

Given the following system of equation expressed as:

y = 6x – b

-3x + 1/2 y = -3

Rewrite equation 2:

1/2 y = 3x - 3

y = 6x - 6

Equate the right hand side of both equations

6x - b = 6x - 6

For the equation to have  infinite number of solutions, the expression on both sides must be the same.

Comparing both sides;

-b = -6

b = 6

This gives the required value of b

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With an income of $57,890, you need to pay $12,735.8 in taxes.

What is mean by proportion?

A proportion is a fraction of a total amount, in which two ratios are set equal to each other.

Given that;

For incomes from $38,701 up to $82,500, you need to pay 22% in taxes.

And, No federal taxes up to $9,525, 12% for income from $9,526 up to $38,700, 22% for income from $38,701 up to $82,500.

Now,

An income of $57,890 is in this range, hence the amount paid is given by;

Amount paid = 57890 x 22%

                    = 57890 x 0.22

                    = $12,735.8.

So, Paid amount for the tax = $12,735.8

Thus, With an income of $57,890, you need to pay $12,735.8 in taxes.

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Answer:

0.000001382 if you divide

Answer:

-0.8

Step-by-step explanation:

=0.3-0.8*0.5-0.1

= -0.3-0.4-0.1

= -0.7-0.1

= -0.8

Answer:

0.5

Step-by-step explanation:

(-6,-5) ( 6,1)  The slope is the change in y over the change in x.

([tex]x_{1}[/tex],[tex]y_{1}[/tex]) ([tex]x_{2}[/tex], [tex]y_{2}[/tex])  Will will use this for the points above and then put in the numbers

[tex]\frac{y_{2 - y_{1} } }{x_{2 - x_{1} } }[/tex]

[tex]\frac{1 - -5}{6 - -6}[/tex]

[tex]\frac{1+ 5}{6+6}[/tex]

[tex]\frac{6}{12}[/tex]

[tex]\frac{1}{2}[/tex] = 0.5 as a decimal

If you start at any point on the line and go up one unit and 2 units of the right, you will end up on the line again.  This pattern repeats over and over and over.

The fractions are divided to give 77/144. Option A

A fraction can simply be defined as the part of a whole set or element.

The types of fractions includes;

Examples of simple fractions are: 1/2 , 1/4

Examples of proper fractions are; 2/3, 5/6

Examples of improper fractions are; 5/3, 9/7

Examples of mixed fractions are; 2 1/2, 3 1/4

Given the expression as;

2 3/4 ÷ 5 1/7

Turn into improper fractions

11/4 ÷ 36/7

Take the inverse of the divisor

11/4 × 7/36

Multiply the numerators and denominators

77/144

Thus, the value is 77/144

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Answer: #1 / A

Step-by-step explanation:

Answer:

7/49

Step-by-step explanation:

there is a sequence so you just need to follow it

so 11, 10, 9, 8 then the next one will be 7

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{7}}} \implies \cfrac{ -6 }{ -3 }\implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{7}) \\\\\\ y-4=2x-14\implies {\Large \begin{array}{llll} y=2x-10 \end{array}}[/tex]

Longest display is 1.125 inches longer than the shortest display.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given Data

Size of cell phones

5.625 inches

5[tex]\frac{1}{2}[/tex] inches = [tex]\frac{11}{2}[/tex] inches

5.5 inches

6[tex]\frac{1}{4}[/tex] inches = [tex]\frac{25}{4}[/tex] inches

6.25 inches

5.125 inches

Longest display = 6.25 inches

Shortest display = 5.125 inches

Difference = longest display - shortest display

Difference = 6.25 - 5.125

Difference = 1.125

Longest display is 1.125 inches longer than the shortest display.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3c + 6d + 3d}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{= (3c) + (6d + 3d)}\\\mathsf{= 3c + 6d + 3d}\\\mathsf{= 3c + 9d}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{3c + 9d}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

the Algebraic representation of the expression "product of 2 and the cube of a number" is 2x³

Algebra is the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

The product of 2 and the cube of a number

So,

product of 2 and the cube of a number

= 2 × x³

= 2x³

For instance, if x = 2

2x³

= 2×(2)³

= 2 × (2 × 2 × 2)

= 2 × 8

= 16

Therefore, the expression "product of 2 and the cube of a number" can be written as 2x³

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Answer:

1,312.5

Step-by-step explanation:

6.25x10=62.5

3500x62.5%=2,187.5

3500-2,187.5=1,312.5

I hope this is correct :-|

we have

3500 = Pe^(0.0625) x(10)

3500= Pe^(0.625)

P = 3500 / e^(0.625) = 1873

thus 1873 Macaws remaining in 10 years

Answer:

7560 meters

Step-by-step explanation:

42 meters a second -> 2520 meters a minute -> 7560 meters for 3 minutes

Answer:

The airplane will be 7560 meters after three minutes of flying.

Step-by-step explanation:

one minute= sixty seconds

42*1800=7560

3*60=1800

Not sure if I did the math right but I'm positive I got the right answer.

Answer:

0.79 greater than 0.789 by 0.001

Step-by-step explanation:

[tex]{ \tt{ \delta x + 0.79 = 0.789}} \\ { \tt{ \delta x = 0.001}}[/tex]

The inequality for maximum number of people is 710 ≥ 9 + 10.75p

The correct option is (d)

Given,

Total money spend on amusement park is $710

Parking charge is $9.

and, tickets cost $10.75 per person

To find the inequality for maximum number of people (p) who can go to the amusement park?

Now, According to the question:

Costs of people tickets = 10.75 p

Total Cost will be = 9 + 10.75p

The inequality will be

9 + 10.75p ≤ 710

=> 710 ≥ 9 + 10.75p

Hence, The inequality for maximum number of people is 710 ≥ 9 + 10.75p .The correct option is (d).

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Answer: 59

Step-by-step explanation:

[tex]51+x+70=180\\\\121+x=180\\\\x=59[/tex]

In the football club, the percentage of 15-year 12 pupils out of 46 pupils is equal to 30%.

The proportion can be found by dividing the number of 15-year pupils by the total number of pupils. Therefore;

number of 15-year pupils / total number of pupils = 12 / 46 = 0.260

Rounding it to one decimal;

0.260 = 0.3

Percentage in mathematics can be defined as a number or a rate in each hundred. A decimal value can be converted into a percentage by multiplying the decimal value by 100.

0.3 × 100 = 30%

Therefore, the proportion of the 15-year pupils in the football club is 12/46 and this proportion can be written in percentage as 30%.

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The coordinates of the second end point of the line is (8, -12).

For the given question;

The end point of the line segment is (0,0).

The mid-point of the line segment is at  (4,-6).

Thus,

(x₁, y₁) = (0,0)

(x₂, y₂) = ?

(xₐ, yₐ) = (4,-6)

Thus, the formula for finding the mid point is;

xₐ = (x₁ + x₂)/2

Put the values;

4 = (0 + x₂)/2

On simplification;

x₂ = 8.

For y coordinate;

Thus, the formula for finding the mid point is;

yₐ = (y₁ + y₂)/2

Put the values;

-6 = (0 + y₂)/2

On simplification;

x₂ = -12

Thus, the coordinates of the second end point of the line is (8, -12).

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Answer:

Step-by-step explanation:

Hope it helps :D

Using the special parallelograms the proof with regard to the EFGH rectangle that triangle FJG is an isosceles is completed and attached. See further explanations below.

Proofs are examples of exhaustive deductive reasoning that establishes logical certainty, as opposed to empirical arguments or non-exhaustive inductive reasoning that establishes "reasonable expectation."

The following are various kinds of proof:

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The amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza this month is $15.

The monthly cost for x slices of pizza is $25 + $1.5x

In order to determine the amount that Justin would have to pay the pizza shop if he bought 12 slices of pizza can be determined by multiplying the cost per pizza by the number of pizzas sold.

Multiplication is the operation used in mathematics that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.

Cost of 12 slices of pizza = discounted price x number of slices bought

$1.25 x 12 = $15

The monthly cost is the sum of the membership fee and the total cost of the pizzas bought

Monthly cost = monthly membership fee + cost of the slices

Monthly cost = monthly membership fee + (discounted price x number of slices bought)

$25 + (1.25 x x)

$25 + $1.25x

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Answer: 80un^2

Step-by-step explanation:

The length of AB is 10

The length of BC is 8

The length of CD is 10

The length of DA is 8

10 x 8 = 80 and there are two pairs of 8 and ten which makes it 80un^2

Using properties of exponents, the simplified expression for 5³ x 5^(-5) is given by:

A. 1/(5²).

The exponent property applied to multiply the terms with the same base but different exponents is that we keep the bases and then add the exponents.

For this problem, the expression is given as follows:

5³ x 5^(-5)

Hence:

Adding the exponents, we have that:

3 + (- 5) = 3 - 5 = -2.

Hence the simplified expression is:

5³ x 5^(-5) = 5^(-2).

When a number has a negative exponent, we can move it to the denominator, then the exponent becomes positive, hence:

5^(-2) = (1/5)² = 1/5² = 1/25.

Meaning that option A is correct.

The expression in this problem is 5³ x 5^(-5), and the correct options are given by the image at the end of the answer.

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After 2.57 hours, the distance between Steve and Elsie will be 25 miles.

So, let t (hours) represent the amount of time Elsie needs to travel before they are 25 miles apart.

Steve takes longer because he is 2 hours earlier, so his time is t + 2.

So, according to the formula the distance between Steve and Elsie will be:

Solve for t as follows:

[tex]\begin{aligned}&(2(t+2))^2+(2.5 t)^2=25^2=625 \\&4(t+2)^2+6.25 t^2=625 \\&4\left(t^2+4 t+4\right)+6.25 t^2=625 \\&10.25 t^2+16 t-609=0 \\&t=\frac{-b \pm \sqrt{t^2-4 a x}}{2 a} \\&t=\frac{-16 \pm \sqrt{(16)^2-4 *(10.25) *(-109)}}{2 *(10.25)} \\&t=\frac{-16 \pm 68.74}{20.5}\end{aligned}[/tex]

So, t = 2.57 or t = -4.13.

Therefore, after 2.57 hours, the distance between Steve and Elsie will be 25 miles.

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The correct question is given below:

Steve and Elsie are camping in the desert, but have decided to part ways. Steve heads north, at 8 AM, and walks steadily at 2 miles per hour. Elsie sleeps in and starts walking west at 2.5 miles per hour starting at 10 AM. When will the distance between them be 25 miles?

Using the slope of the linear function, it is found that 50 megabytes are transferred every 10 seconds.

A linear function is modeled according to the following rule, in slope-intercept form:

y = mx + b

In which:

For this problem, the function is given as follows:

S(t) = 5t + 45.

The slope of m = 5 means that every one second, 5 megabytes are transferred, hence the amount transferred every 10 seconds is given by:

Amount = 5 x 10 = 50 MB.

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The true statement about the values x = - 2 and y = -0.5 is that: D. they are the only values that make both equations true.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

This ultimately implies that, a point of intersection simply represents the ordered pairs (values) that make a system of equations true.

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Complete Question:

Lan graphs these equations and finds that the lines intersect at a single point,

(-2,-0.5).

Equation A: 4y - 3x = 4

Equation B: -2x + 8y = 8

Which statement is true about the values x = -2 and y = -0.5?

A. They satisfy equation A but not equation B.

B. They satisfy equation B but not equation A.

C. They show that the equations represent the same line.

D. They are the only values that make both equations true.

Answer:

q = 20

Step-by-step explanation:

The two angles shown in the image are supplementary angles which means their sum is equal to 180°

We can find the value of q using the following equation:

78 + 5q + 2 = 180 add like terms

80 + 5q =180 subtract 80 from both sides

5q = 100 divide both sides by 5

q = 20

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Guide to follow:}[/tex]

[tex]\bullet\large\textsf{ A supplementary angles (}\angle\large\textsf{) is equal to 180}^\circ\\\bullet\large\textsf{ A complementary angles (}\angle\large\textsf{) is equal to 90}^\circ[/tex]

[tex]\star \large\textsf{ The current angel that you are working with is a \boxed{\mathsf{supplementary \ angle \ (\angle)}}}}\\\large\textsf{so that means means \large\textsf{that your angle is equal to \boxed{\mathsf{180 ^\circ}}}}[/tex]

[tex]\huge\textsf{What does your equation look like?}[/tex]

[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]

[tex]\huge\textsf{How we solve for your equation?}[/tex]
[tex]\mathsf{(78) + (5q + 2) = 180}[/tex]
[tex]\mathsf{78 + 5q + 2 = 180}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(78 + 2) + (5q) = 180}[/tex]
[tex]\mathsf{78 + 2 + 5q = 180}[/tex]
[tex]\mathsf{80 + 5q = 180}[/tex]
[tex]\large\textsf{Simplifying}[/tex]
[tex]\mathsf{5q + 80 = 180}[/tex]
[tex]\large\textsf{SUBTRACT 80 to BOTH SIDES}[/tex]
[tex]\mathsf{5q + 80 - 80 = 180 - 80}[/tex]

[tex]\large\textsf{Simplify it:}[/tex]

[tex]\mathsf{5q = 180 - 80}[/tex]

[tex]\mathsf{5q = 100}[/tex]

[tex]\large\textsf{DIVIDE 5 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5q}{5} = \dfrac{100}{5}}[/tex]

[tex]\large\textsf{Simplify it:}[/tex]

[tex]\mathsf{q = \dfrac{100}{5}}[/tex]

[tex]\mathsf{q = 20}[/tex]

[tex]\huge\textsf{So, what does mean your answer should be?}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{q = 20}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

No solution

Step-by-step explanation:

A number squared cannot be negative. It is a trick question.