21 x 23 using standard algorithm

Answer:

After 3 days, Noah is still farther along reading.

Step-by-step explanation:

Here are the two equations:

NN = 12tt + 41

AA = 16tt + 13

Now we plug in 3 to both equations to see what page they're on after 3 days:

\(NN = 12(3) + 41\\NN = 36 + 41\\NN = 77 \\\\AA = 16(3) + 13\\AA = 48 + 13\\AA = 61\)

After 3 days, Noah is 77 pages along and Amelia is 61 pages along.

77 pages > 61 pages so therefore Noah is still farther along.

The area of the rectangle for given coordinates is 16 square units.

The distance formula can be used to calculate the separation between two points on the xy-plane. The co-ordinate of a point is represented as an ordered pair (x, y), where the x-coordinate (or abscissa) is the distance from the x-axis and the y-coordinate (or ordinate) is the distance from the y-axis.

The distance formula is given as:

d = √(x2 - x1)² + (y2 - y1)²

The distance between the point GH is:

d = √(1 - 3)² + (4 - 6)²

d = √4 + 4

d = √8

The distance between GF is:

d = √(3 - 7)² + (6 - 2)²

d = √16 +16

d = √32

The length of the quadrilateral is √32 and the width is √8.

The area of the rectangle is given as:

A = (l)(b)

A = √32√8

A = √256

A = 16

Hence, the area of the rectangle for given coordinates is 16 square units.

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1. What is the sum of (-6) & (-9)?

-6 + (-9) = -6 - 9 = -15

D. -15 is your answer.

2. What is the result when (-12) is subtracted from (-8)?

-8 - (-12)

Note that when there are two negative signs directly next to each other, it becomes a positive:

-8 - (-12) =

-8 + 12 =

12 - 8 = 4

B. 4 is your answer.

3. What is the sum of two positive numbers?

Two positive numbers will give you a positive answer.

A. Positive.

4. What is the difference when -19 is subtracted by 5?

-19 - (5) = -19 + (-5) = -24

D. -24

5. To add two numbers having the same sign, find the sum of their absolute values and copy the common sign.

6. What is the result when the difference of (-9) and 4 is subtracted from the sum of (-5) and (-3)?

(-5 + (-3))- (-9 - 4)

(-8) - (-13)

-8 + 13 = 5

B. 5

7. What is the quotient of 180 and (-30)?

Divide 180 with -30:

180/-30 = -6

C. -6

8. What is the product of (-9) and 7?

Multiply -9 with 7:

-9 * 7 = -63

-63 is your answer.

9. For what value of the variable n will the statement (-612)/36 = n be true?

Divide:

(-612)/36 = -17

C. -17 is your answer.

~

Note:

If you are adding two positive numbers, your answer will be positive.

If you are adding two negative numbers, your answer will be negative.

If you are adding one positive number and one negative number, your answer will have the sign of whichever term is greater.

If you are subtracting two positive numbers, and your first term is greater then the second term, your answer will be positive.

If you are subtracting two positive numbers, and your first term is less then the second term, your answer will be negative.

If you are subtracting one negative term in front, and one positive term in the back, whichever term has the greater numerical number would have their sign carried over.

If you are subtracting one positive term in front, and one negative term in the back, the negative term's negative will cancel, which would result in a positive. Then you will add.

If you are multiplying two positive numbers, your answer will be positive.

If you are multiplying two negative numbers, your answer will be positive.

If you are multiplying one negative and one positive number, your answer will be negative.

If you are dividing two positive numbers, your answer will be positive.

If you are dividing two negative numbers, your answer will be positive.

If you are dividing one negative and one positive number, your answer will be negative.

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

Answer:

24 ounces

Step-by-step explanation:

the math is.  

.681÷ .454= 1.5 which is in pounds than you take 16÷2= 8 take that 8 add it to the 16 giving you 24 ounces

Answer:

24

Step-by-step explanation:

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

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

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

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

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 1, 3, 5, 7, … , 99.

It is a arithmetic sequence, the difference between two consecutive terms will be same

d=3-1=2

first term a=1

l=last term =99

We need to find 99 is which term in the sequence

Aₙ = a + ( n - 1 ) d

99=1+(n-1)2

99=1+2n-2

99=2n-1

100=2n

Divide both sides by 2

50=n

Now we need to find the sum of 50 terms

Sₙ=n/2(l+d)

=50/2(99+2)

=25(101)

=2525

Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

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Answer:

SU = 17

Step-by-step explanation:

The line looks like this

S--T---------------U

If you add 2 + 15 = 17

Hope this helps ya!!

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

(-1/3 )(1/4)=(-1/12)

Step-by-step explanation:

(-1/3 )(1/4)

For fraction multiplication, multiply the numerators and then multiply the denominators to get

(-1/3 )(1/4)=(-1/12)

This fraction cannot be reduced.

Therefore:

(-1/3 )(1/4)=(-1/12)

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

$48

Step-by-step explanation:

5% of 40 = 2 and 15% of 40 = 6. 6 + 2 = 8. 40 + 8 = $48.

Answers:

==========================================================

Explanation:

For now, focus on the triangle with angles 'a', 71 and 40 degrees.

Recall that for any triangle, the inside angles always add to 180

a+71+40 = 180

a+111 = 180

a = 180-111

a = 69

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

Notice how angles b and 133 are adjacent and form a straight angle. This makes them supplementary. Meaning they add to 180

b+133 = 180

b = 180-133

b = 47

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

Let angle f be adjacent to angle c, and part of the triangle with angles 'a' and b.

Use the rule mentioned in the first section

a+b+f = 180

69+47+f = 180

116+f = 180

f = 180-116

f = 64

Now we can find angle c, because angles f and c are supplementary

c+f = 180

c+64 = 180

c = 180-64

c = 116

We could also use the remote interior angle theorem to say that a+b = c, so c = a+b = 69+47 = 116

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

Next, focus your attention on the 140 degree angle. The missing adjacent angle to this is 180-140 = 40 degrees

Now focus on the triangle that has angles d, 40, and 47. The "40" being what we just calculated in the previous paragraph.

We'll do the same thing as before

d+40+47 = 180

d+87 = 180

d = 180-87

d = 93

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

The angle just above angle d is also the same (vertical angles). This upper triangle has angles 40, d and g, where g is unknown. Let's find it.

40+d+g = 180

40+93+g = 180

133+g = 180

g = 180-133

g = 47

The vertical angle across from this is also 47 degrees.

Similarly, we can move that angle b over to its vertical pairing counterpart.

The smallest triangle at the very top has angles e, b, and g

e+b+g = 180

e+47+47 = 180

e+94 = 180

e = 180-94

e = 86

1. The volume of the pyramid is 320ft³

3. The volume of the pyramid is 2395.83cm³

5. The volume of the pyramid is 1200in³

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * base area * height

Where:

1. The volume of the pyramid is calculated as;

V = 1/3 * 8 * 12 * 10 = 320ft³

3. The volume of the pyramid is;

V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³

5. The volume of the pyramid is;

V = 1/3 * (15 * 15) * 16 = 1200in³

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer: hmmm simple it’s 15

Step-by-step explanation: your welcome

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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Answer:

See image

Step-by-step explanation:

It cant be wrong

Answer:

0.166666667

Step-by-step explanation:

A graph of the linear equation y = 2x in slope-intercept form is shown in the image attached below.

The two ordered pairs that satisfy the equation are (1, 2) and (2, 4).

In Mathematics and Geometry, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Next, we would use an online graphing calculator to plot the given function as shown in the graph attached below;

y = 2(1)

y = 2

y = 2(2)

y = 4

In conclusion, the slope of this linear equation is equal to 2 and it represents a proportional relationship.

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Answer: 450 minutes

Step-by-step explanation:

4 hours and 30 minutes equals 4.5 hours.

3+4.5=

7.5 hours

1 hour equals 60 minutes

Hence,

7.5*60=

450 minutes

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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The equivalent ratios are 6:3, 24:12 and 18:9.

According to the question,

We have the following information:

We have a table where number of people and  benches are given.

(Note that equivalent ratios mean that when we simplify it then the ratio should be equal to the original ratio.)

Now, we will find the equivalent ratios column-wise:

In first column, we have 6 and 3.

6:3

Now, in second column, we have:

_:12

Now, dividing 12 by 3, we have 4.

Multiplying 4 into 6:

24:12

Now, in third column, we have:

18:_

Dividing 18 by 6:

18/6 = 3

Multiplying 3 by 3:

18:9

Hence, the equivalent ratios are 6:3, 24:12 and 18:9.

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volume of sphere is 4.8 times the volume of cone (1).

A). Options (C) and (E) is correct.

B). 4.8 times

To choose the figure.

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

Part A

Volume of cylinder (1) = πr²h

                                   = π*(6)²*(5)

                                   = 565.5 cubic inches

Volume of cone (1)=π*r²*h/3

                             =π*6²*5/3

                             = 188.5 cubic inches

Volume of sphere =4π*r²*r/3

                               =4π*6²*6/3

                                = 904.8 cubic inches

Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.

Part (B)

Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8

Therefore, volume of sphere is 4.8 times the volume of cone (1).

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Just to have fun, I have written a transcript scenario. Your answer is in the paragraph as if I was teaching it! Hope this improves the quality of the answer, if it hasn't just give your review! Have a nice day!

All right. So you want the surface area for this composite figure? So, the surface area, we're going to split into two different shapes. So, I'm gonna do this shape here. That's kind of up. And then I'll do this one. That's kind of flattered. Okay, so when we look at the base, because our surface area formula, let's start with. That is perimeter times high plus two times the area of the base. So, I need the perimeter of this. This is my base, right? I'm thinking about the one that's on the bottom that I can't see. So this is 20 and four. So when you do perimeter, I'm gonna say 20 plus 20 Plus four Plus 4. That's perimeter. The height is eight plus two. And then my area of the base is the two numbers I used in the first parentheses. So four times 20. Okay, so let's see. 20 plus 20 is 40, 40-plus 8 is 48. 48 times eight Is 3 84. Okay. Plus four times 20 is 80, maybe times two is 1 60. If I add all this together And your calculator or do it by hand, you get 5:44. So that is the surface area for the shape that I drew mostly over just now. Let me do it in red for the next one. So my base for this one, I'm actually gonna use 20 and 14 for my perimeter. So the same kind of steps, 20 plus 20 plus 14 plus 14. And then my height is too Plus two times the area of the base. So 20 times 14. So 40 plus 28. Because that's what 14 plus 14 is is 68 68 Times two for the height. So I get 1 36 plus And now 20 times 14 gives you 2 80 times two. It's 5 60 Plus 1 36. So I'm adding these together now And you get 6 96. Alright, We're almost done. Now. We have to take our first answer and add it To our second answer. So 6 96. So 6 96 plus 5 44. You can use your calculator, you get 1240. And if you wanted to use correct units it's centimeters squared. Alright. I hope this helps.

Image attatched is the actual problem.

Answer:

did u guys ever figure it out

Step-by-step explanation:

Answer:

$51.2

Step-by-step explanation:

She makes 6.40 an hour so to find how much she makes for 8 hours you do 6.40×8

Answer:

19

Step-by-step explanation:

228/12=19

SOLUTION

The duration for watering the whole flower is

Which is

This means it takes 109minutes for watering the whole flowers.

The time taken for 4/7 of the flowers is

Then it takes 62minutes 29seconds to wet 4/7 of the flowers

The time they will finish watering 4/7 of the flowers will be