9. Michael needs 6 ½ feet of metal flashing to complete a household project. He has two small pieces measuring 3 1/8 feet and 1 ₴ feet. How many feet of metal flashing does Michc need to purchase?

US$ the tourist received finally is US$985.

BD$2000 is there.

BD$1 = US$0.50

Bank charged a commission of 1.5%.

Solution:

For one BD i.e., BD$1 he gets US$0.50.

It is half the value of BD$.

By cross multiplication technique, you can find this.

Then for,

BD$2000 he will get US$ 1000.

Bank charges =  1.5%.

That is,

1.5/100*1000 = $15

US$ the tourist received finally = 1000-15

= $985

US$ the tourist received finally is US$985.

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I WILL TAKE THE POINTS (0,7) AND (2,1) FROM THW GRAPH AND USE THEM TO GET THE GRADIENT.

[tex]m \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 7}{2 - 0} \\ m = \frac{ - 6}{2} \\ m = - 3[/tex]

I WILL USE THE POINT (0,7) TO FIND THE VALUE OF C IN THE GENERAL EQUATION.

[tex]7 = - 3(0) + c \\ c = 7[/tex]

THE EQUATION IS

[tex]y = - 3x + 7[/tex]

ATTACHED IS THE SOLUTION

Let the original amount be n.

(n) (percentage) = (final amount)

We're given:

Organize this information into an equation:

n(13.5%) = 27

⇒ Convert 13.5% into a decimal:

0.135n = 27

⇒ Divide both sides by 0.135:

n = 27 ÷ 0.135

n = 200

Therefore, the original amount is 200.

200

Answer:

2.5

Step-by-step explanation:

if it is divison then the answer would be 2.5

if its additin is  35

if subtraction it is 15

if multipcation  250

Answer:

No solution.

Step-by-step explanation:

 Solving using elimination method:

           3a = - 5b - 2

    3a + 5b = -2 ------------------(I)

            10b = 1 - 6a

   6a + 10b = 1 --------------------(II)

[tex]\sf \dfrac{a_1}{a_2}= \dfrac{3}{6}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{5}{10}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2} = \dfrac{-2}{1}[/tex]

[tex]\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

So, this system of linear equations are two parallel lines and has no solution.

If the length of the hypotenuse is 13.5 units and angle is 41 degrees, then the length of the opposite side is 8.86 units

The length of the hypotenuse = 13.5 units

The angle = 41 degrees

Here we have to use the trigonometric function

sin θ = Opposite side / Hypotenuse

cos θ = Adjacent side / Hypotenuse

tan θ = Opposite side / Adjacent side

In this question hypotenuse and angles are given and we have to find the opposite side.

sin θ= opposite side /  Hypotenuse

Substitute the values in the equation

sin 41 = Opposite side / 13.5

Opposite side = sin 41×13.5

= 8.86 units

Hence, if the length of the hypotenuse is 13.5 units and angle is 41 degrees, then the length of the opposite side is 8.86 units.

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The angle whose supplement is 12 degrees less than twice its measure is 64 degrees.

supplementary angles are angles that add up 180 degrees.

Given the data in the question;

Let x represent the first angle.

Since the angle are supplementary, sum of angles = 180°

First angle + second angle = 180

x + ( 2x - 12 ) = 180

Solve for x

x + 2x - 12 = 180

3x - 12 = 180

3x = 180 + 12

3x = 192

x = 192/3

x = 64

Therefore, the measure of the angle 64 degrees.

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Because the angles on the first quadrant of the bottom horizontal line are equal, we conclude that the two parallel lines are FM and GB,

We know that two lines are parallel if when intersected by the same line, the two give the same angles.

In the image, we can see only one pair of equal angles, which are the two ones represented by a red quarter circle.

Both of these angles are on line MB, this means that the two parallel lines are the ones that intersect MB (in this case are the two vertical lines).

Then we can conclude that the two parallel lines are FM and GB.

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The rate/speed at which one must travel to cover 227.5 miles in 3.5 hours is 65 miles per hours.

Speed or rate is simply referred to as distance traveled per unit time.

It is expressed as;

r = d / t

Where r is the speed/rate, d is the distance and t is time elapsed.

Given the data in the question;

To determine the rate at which one must travel to cover 227.5 miles in 3.5 hours, plug the given values into the equation above and solve for r.

r = d / t

r = 227.5 miles / 3.5 hours

r = 65m/h

r = 65mph

Therefore, the speed/rate one must travel is 65mph.

Option A)65mph is the correct answer.

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The most appropriate choice for exponent will be given by-

Keiko is not correct because the exponent [tex](-1)^n[/tex] does not always give -1

What is exponent?

Exponent denotes how many times a number is multiplied by itself.

For example in [tex]2^4[/tex] = [tex]2 \times 2 \times 2 \times 2[/tex], here 2 is multiplied 4 times.

Suppose [tex]a^m = a \times a \times a \times a[/tex][tex].....[/tex] (m times), here a is the base and m is the power.

Here,

The given exponents are[tex](1)^n[/tex] and [tex](-1)^n[/tex]

[tex](1)^n = 1 \times 1 \times 1\times.....\times 1[/tex] (n times)

      = 1

For [tex](-1)^n[/tex]

If n is even,  [tex](-1)^n[/tex] = 1

If n is odd ,  [tex](-1)^n[/tex] = -1

But Keiko told that [tex](-1)^n[/tex] always results in -1

So, Keiko is not correct.

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Answer:

Option 4: a reflection over the y-axis and a translation 4 units down

Step-by-step explanation:

f(x) = 3x + 1 ---> g(x) = -3x - 5

to go from 3x to -3x is a reflection across the y axis

to go from 1 to -5 is a shift 4 units down

I WILL USE THE LAWS OF EXPONENTS WHEN WE MULTIPLY POWERS OF THW SAME BASES WE KEEP ONE POWER AND ADD THE EXPONENTS.

[tex] = 7^{ - 5} \times 7^{2} \\ = {7}^{ - 5 + 2} \\ = {7}^{ - 3} \\ = \frac{1}{ {7}^{3} } \\ = \frac{1}{343} [/tex]

ATTACHED IS THE SOLUTION

Scientific notation of the given expression divided -6.5 × 10^-7 by

9.88 ×10^-8 with two decimal places is equal to  6.58 × 10^0.

As given in the question,

Divided  -6.5 × 10^-7 by  9.88 ×10^-8 we have,

= ( -6.5 × 10^-7 ) /( 9.88 ×10^-8 )

= ( -6.5 / 9.88) × 10^(-7 +8)

= 0.65789 × 10^1

Express above quotient in scientific notation form with two decimal is equal to

= 6. 58 × 10^0

Therefore, scientific notation of the given expression divided -6.5 × 10^-7 by  9.88 ×10^-8 with two decimal places is equal to 6.58 × 10^0.

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The percentage of the tip that Serena's father paid was 20%.

Mathematically, a percentage is a numerical ratio, usually expressed as a fraction of 100 and denoted by the percent sign (%).

Percentages show the proportional relationship between two fractions, like proportions and ratios.

The amount of the tip = $5

The cost of the ride = $25

The total amount paid by Serena's father = $30 ($5 + $25)

The percentage of tip to the ride's cost = The amount of the tip divided by the cost of the ride.

= 20% ($5/$25 x 100)

Thus, in percentage terms, the amount that Serena's father tipped the taxi driver is 20% of the ride's actual cost.

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The simplified form of like terms in -3(u+6) -4(u+5) is 7u = -38.

Similar variables and powers are defined as like terms. It is not necessary for the coefficients to agree. When two or more terms do not share the same variables or powers, they are said to be unlike terms. Unless there is a power, the variables' order is irrelevant.

Two expressions joined by an equal sign form a mathematical statement known as an equation.

Given that,

Expression is -3(u+6) -4(u+5)

Simplifying the equation,

-3u-18-4u–20 = 0

-7u -38 = 0

-7u = 38

7u = -38

Therefore 7u = -38 is the simplifief form of like term in -3(u+6) -4(u+5).

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Answer:

207/4 some other forms are 51 3/4 or 51.75

Step-by-step explanation:

Answer:

24  3/4 gal

Step-by-step explanation:

2 3/4 gal / bucket    *   9 bucket   = 24 3/4 gal

The domain and the range pf the curve was solved and the correct answer to the question is the last option which is

The domain are the input values and are represented in the x axis while the range are the output values and represented in the y axis

From the graph

We can conclude that the last option is the correct answer

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Answer:

I see a right angle, so the transversal is perpendicular to the parallel lines. Therefore, x and y are supplementary and congruent, and so we have x = 90 and

y = 90.

Answer:

1/4^3

Step-by-step explanation:

Answer:

x = 1 +sqrt(5)

x = 1 -sqrt(5)

Step-by-step explanation:

y= x^2 -2x -3

Let y = 1

1= x^2 -2x -3

Subtract 1 from each side

1-1= x^2 -2x -3-1

0 = x^2 -2x -4

Using the quadratic formula

x = - (-2) ±sqrt( (-2) ^2 -4(1)(-4))

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

                      2(1)

x = 2 ±sqrt( 4 +16)

     ------------------------

                      2

x = 2 ±sqrt( 20)

     ------------------------

                 2

x = 2 ±sqrt( 4*5)

     ------------------------

                 2

x = 2 ±sqrt(5)

     ------------------------

                 2

x = 1 ±sqrt(5)

By using the Unitary method, $468 was spent on newspapers in 52 weeks.

Unitary method is a method used for finding the unit cost in which we divide the total cost by the total number of articles and to find the cost of more than one article, we multiply the unit cost by the number of articles required.

Cost of newspapers in a week from monday to saturday = $(1 x 6) = $6

Cost of newspaper only on sunday of a week = $3

Cost of newspapers in a week = $(6 + 3) = $9

Therefore, the cost of newspapers in 52 weeks = $(52 x 9) = $468.

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Applying the slope formula, we have:

16. Slope = -9/4; Parallel slope = -9/4; Perpendicular slope = 4/9.

17. Slope = -4; Parallel slope = -4; Perpendicular slope = 1/4.

See explanation below for the rest answers.

Slope of a line = change in y / change in x.

The slope of parallel lines are the same, while the slopes of two lines that are perpendicular to each other are negative reciprocals of each other, i.e. 1/a and -a can be the slopes of two lines that are perpendicular to each other.

In an equation given in slope-intercept form, y = mx + b, the slope is represented as "m".

16. Given, (3, 7) and (7, -2):

Slope (m) = (-2 - 7)/(7 - 3)

Slope = -9/4

Parallel slope = -9/4

Perpendicular slope = 4/9.

17. Given, y = -4x + 2,

Slope = -4

Parallel slope = -4

Perpendicular slope = 1/4.

18. Rewrite 5x - 2y = 8 in slope-intercept form:

-2y = -5x + 8

y = 5/2x - 4

Slope = 5/2

Parallel slope =  5/2

Perpendicular slope = -2/5.

19. Rewrite  4x + 3y = 2 in slope-intercept form:

3y = -4x + 2

y = -4/3x + 2/3

Slope (m) = -4/3

Substitute (a, b) = (2, -5), and m = -4/3 into y - b = m(x - a):

y - (-5)) = -4/3(x - 2)

y + 5 = -4/3(x - 2) [point-slope form]

20. Given, y = -5x + 2

Slope (m) = -5

Substitute (a, b) = (-4, -6), and m = -5 into y - b = m(x - a):

y - (-6) = -5(x - (-4))

y + 6 = -5(x + 4) [point-slope form]

21. Rewrite 9x - 3y = 6 in slope-intercept form:

-3y = -9x + 6

y = 3x - 2

The slope of y = 3x - 2 (9x - 3y = 6) is 3.

The slope of -3x - 5 is -3.

Therefore, the lines are neither parallel nor perpendicular.

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Answer:

45

Step-by-step explanation:

In this picture we can see that they gave us 2 angles.

Angle V has an angle of x+83

Angle S has an angle of 4x - 53

As one of the circle thermoses in mathematics said when there is an angle in the center of the circle, the angle at the circumference is half the angle at the center, which means we could create and equation such that:

angle of angle V = 2 times the angle of angle S

x + 83 = 2(4x - 53)

x + 83 = 8x - 106

189 = 7x

27 = x

Since we know x = 27, we can substitute into the equation angle of S to find what is the angle of TSU:

4x - 53

= 4(27) - 53

= 108 - 53

= 45

Answer:

<TSU = 55°

Step-by-step explanation:

We know that,

Angle at the circumference of a circle is twice the angle at the centre.

Therefore,

2 × <UST = <UVT

Given that,

< UVT = x + 83

< TSU = 4x - 53

Accordingly, we can make an expression like this.

[tex] \sf2 × <UST = <UVT[/tex]

[tex] \sf2(4x - 53) = x + 83 \\ [/tex]

And now solve the above expression and find the value of x.

Let us solve it now.

[tex] \sf8x - 106 = x + 83 \\ \sf8x - x = 106 + 83 \\ \sf7x = 189 \\ \sf \: x = 27[/tex]

And now, according to the question they've asked us to find the value of <TSU.

As we mentioned earlier, they've given that, <TSU = 4x - 53.

So, to find the value of Angle TSU, we have to replace x with 27 and find the value of angle TSU.

Let us solve it now

[tex] \sf \: <TSU = 4x - 53 \\ \sf \: <TSU = 4 \times 27 - 53 \\ \sf \: <TSU = 108 - 53 \\ \sf \: <TSU = 55 \degree[/tex]

The multiplication of the mixed fractions as 4²/₇ * 2¹/₅ gives; 9³/₇

A mixed fraction is one that has a part that is a whole number and a part that is a proper fraction.

Now, a proper fraction has its' numerator lesser than its' denominator while an improper fraction has it's numerator greater than its' denominator.

Let us convert each fraction into an improper fraction before multiplication.

4²/₇ = 30/7

2¹/₅ = 11/5

Thus, we have;

30/7 * 11/5

This can be reduced to;

66/7 which can be converted back to a mixed fraction to get 9³/₇

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The function to show how quickly the weeds grow each day is "f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily. Option B

f(x) = 4(1.15)x = 4(1+ 0.15)x ................... (1)

Given that there are seven days in a week, the daily growth rate of the weeds may be estimated using equation (1) by dividing 0.15 (which stands for the 15% weekly growth rate) in the following manner:

f(x) = 4(1.15)x = 4(1+ 0.15/7)x

f(x) = 4(1 + 0.02)x

f(x) = 4(1.02)x

Since 0.02 is the same as 2%, this implies that the rate at which the weeds grow each day is 2%.

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The solution for the inequality is x < 11/130.

The problem we dealing with is related to inequality which is referred to as An inequality in mathematics could be a relationship that produces a non-equal comparison between two integers or other numerical expressions.

Since we are provided with inequality which is 81 - 11/5x < 55

Now multiplying both by 5x we get

81 × 5x - (11/5x) × 5x < 55 × 5x

=> 405x - 11 < 275x

=> 405x - 275x < 11

=> 130x < 11

=> x < 11/130

so it is the solution for the inequality 81 - 11/5x < 55

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Answer:

perpendicular

Step-by-step explanation:

The equations represent a vertical and horizontal line, respectively, which are perpendicular to each other.