Charlene is 8 years older than Aaron. The sum of their ages is 44. What are
their ages?

Answer:

  five and eight hundredths

Step-by-step explanation:

I was taught to reserve the word "and" to mark the decimal point when the number has a fraction. The integer part is "five." The fractional part is "eight hundredths." Together, the word form might be ...

  five and eight hundredths.

__

If I were reading this to someone, including myself, I might say it as ...

  "five point oh eight".

_____

Comment on ambiguity

The reason for being particular about marking the decimal point is so you don't get into trouble with something like ...

  1000.13 . . . . . one-thousand and thirteen hundredths

which is different from ...

  1013/100 . . . . one-thousand thirteen hundredths

Some folks will pronounce 1013 as "one-thousand and thirteen." Doing so will get you in trouble in the above situation, where you have 1013/100.

Final answer:

The correct word form of 5.08 is explained as five and eight hundredths.

Explanation:

The correct word form of 5.08 is five and eight hundredths. When writing decimal numbers in words, the digit to the right of the decimal point is read as a whole number followed by the place value of the digit to the right.

In this case, 5.08 is read as five and eight hundredths.

Answer:

n = 1/5 or 0.2

Step-by-step explanation:

Given

127/n = 635

Cross multiply

127 = n x 635

Divide both sides by 635

127/635 = n x 635/635

Divide both the numerator and denominator by 127.

We have

1/5 = n

n = 1/5 or

n = 0.2

Answer:

Step-by-step explanation:

Area = Length* height

= 4w³ * (5w² - 3w - 4)

 = 4w³*5w² - 4w³*3w - 4w³*4

= 20w⁵ - 12w⁴ - 16w³

Answer: C. 2

Step-by-step explanation:

1. combine like terms

-6x + 4 = -8

2. Make x be by itself by subtracting -4 by both sides of the equal sign

-6x = -12

3. Divide both sides by -6, then negatives will cancel out

x= 2

(hope this helped)

Answer:

c. 2

Step-by-step explanation:

simplify:

3x-9x+7-3 = -8

-6x+4 = -8

Subtract 4 from both sides:

-6x = -8 - 4

-6x = -12

Divide both sides by -6:

x = -12/ -6

Answer

x= 2

The invention that made the rise of the personal computer possible is the microchip (option C).

The computer, as we know it today, is the result of a series of innovations and contributions by many people over several decades. It is difficult to attribute its invention to a single person. Charles Babbage - an English mathematician and inventor who designed the first mechanical computer, the Difference Engine, in the early 19th century.

Here,
The invention that made the rise of the personal computer possible is microchips (option C). Microchips, also known as integrated circuits, are tiny electronic circuits consisting of miniaturized transistors and other components on a small silicon wafer. Microchips allowed the production of smaller, faster, and more powerful computers, making it possible for personal computers to becoming widely available and affordable. While cellular telephones and DVRs have had their own impact on technology, they did not play a significant role in the development of personal computers. Vacuum tubes, on the other hand, were used in the earliest electronic computers but were eventually replaced by transistors and then microchips.

Thus, the invention that made the rise of the personal computer possible is the microchip (option C).

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Answer:

c = 3πcm

Step-by-step explanation:

from the question area of the circle is given to b 9/4 πcm²

circumference of the circle  in terms of π = ?

the formula for finding the Area of a circle = πr²

Since the area was given to be

(9/4)π = πr²

divide both sides by π

we have

9/4 = r²

we apply the cross multiplication rule

so we have,

4r² =  9

divide both sides by 4

r² = 9/4

r = √9/4

r = 3/2

now to find the circumference of the circle , we apply the formula for finding the circumference of a circle which is

c = 2πr

from our calculations radius r = 3/2

c = 2 ( π × 3/2)  [ 2 cancels 2]

c = 3πcm

Answer: The two point questions are 45, while the four point questions are 5.

Step-by-step explanation: We shall start by assigning letters to the unknown variables. Let the first type of question be called a and the second type of question be called b.

If the final exam is made up of 50 questions, that means

a + b = 50

Also if some questions are two points while others are four points and the total score for all of them is 110 points, then

2a + 4b = 110

(That is, we assume that a is the two point question and b is the four point question, so total score equals 110)

We now have a pair of simultaneous equations

a + b = 50 ————(1)

2a + 4b = 110 ——-(2)

From equation (1), we shall make a the subject of the equation,

hence let a = 50 - b

Substitute for the value of a in equation (2)

2a + 4b = 110

2(50 - b) + 4b = 110

100 - 2b + 4b = 110

By collecting like terms we now have

4b - 2b = 110 - 100

2b = 10

Divide both sides of the equation by 2

b = 5

Now substitute for the value of b into equation (1)

a + b = 50

a + 5 = 50

Subtract 5 from both sides of the equation

a = 45.

Therefore the two point questions are 45, while the four point questions are 5

**A quick check would show the following results ; 2(45) + 4(5) = 90 + 20 = 110.**

There are 45 questions worth 2 points each and 5 questions worth 4 points each on the 110-point final exam consisting of 50 questions.

Let's call the number of 2-point questions "x" and the number of 4-point questions "y." We can set up a system of equations to represent the information given:

1. The total number of questions is 50:

  x + y = 50

2. The total number of points is 110:

  2x + 4y = 110

Now we have a system of two equations with two variables:

1. x + y = 50

2. 2x + 4y = 110

We can solve this system of equations using either the substitution method or the elimination method. Let's use the elimination method:

First, let's multiply the first equation by 2 to make it easier to eliminate x:

1. 2(x + y) = 2(50)

2x + 2y = 100

Now we have the following system of equations:

1. 2x + 2y = 100

2. 2x + 4y = 110

Now, subtract the first equation from the second equation to eliminate x:

(2x + 4y) - (2x + 2y) = 110 - 100

This simplifies to:

2y = 10

Now, divide both sides by 2 to solve for y:

2y/2 = 10/2

y = 5

So, there are 5 questions worth 4 points each (4-point questions), and we can find the number of 2-point questions by substituting the value of y back into one of the original equations (e.g., the first equation):

x + 5 = 50

Now, subtract 5 from both sides to solve for x:

x = 50 - 5

x = 45

So, there are 45 questions worth 2 points each (2-point questions).

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Answer:

А. 13.07

Step-by-step explanation:

Significant figures are the number of digit from a number that have meanings. The higher the significant figures of a number, the higher its accuracy will be.  The only non-zero number will be count as significant figures unless the zero is between two non-zero numbers like 13.07, the zero placed between 3 and 7. Some number also doesn't count as significant figures like the leading zero.

All other option just shows 3 significant numbers, so the answer is 13.07

Answer:

237.09m

Step-by-step explanation:

Let's use the tan rule to find the length of the adjacent side.

Tan rule is given as

[tex]Tan \theta=\frac{Opposite \ side}{Adjacent \ side}\\[/tex]

[tex]\theta[/tex]=67° , and Adjacent length is given as 100m.

We therefore need to find the length of the adjacent side.

[tex]Tan\theta=\frac{X}{100}\\Tan 67\textdegree=\frac{X}{100}\\X=Tan \ 67\textdegree \times 100\\X=235.58m[/tex]

To find height of the rock, we add X value to transit height=[tex]235.58+1.5=237.09m[/tex]

*See pic for graphic illustration

The height of the rock formation is approximately [tex]230\ meters[/tex].

Given:

[tex]\text{Distance from the base of the rock formation to the transit, d = 100\ m}[/tex]

[tex]\text{Angle of elevation, \( \theta = 67^\circ \)}[/tex]

[tex]\text{Height of the transit above the ground, \( h = 1.5 \) m}[/tex]

Let [tex]\( H \)[/tex] denote the height of the rock formation.

First, we need to find the vertical distance from the transit to the top of the rock formation using the tangent function:

[tex]\[ \tan(\theta) = \frac{H - h}{d} \][/tex]

Substitute the given values:

[tex]\[ \tan(67^\circ) = \frac{H - 1.5}{100} \][/tex]

Calculate [tex]\( \tan(67^\circ) \)[/tex]

[tex]\[ \tan(67^\circ) = 2.281 \][/tex]

Now, solve for [tex]\( H -1.5 \)[/tex]

[tex]\[ 2.281 = \frac{H - 1.5}{100} \][/tex]

Multiply both sides by [tex]100[/tex] to solve for [tex]\( H -1.5 \)[/tex]

[tex]\[ 2.281 \times 100 = H - 1.5 \][/tex]

[tex]\[ 228.1 = H - 1.5 \][/tex]

Add 1.5 to both sides to solve for [tex]\( H \)[/tex]

[tex]\[ H = 228.1 + 1.5 \][/tex]

[tex]\[ H = 229.6 \][/tex]

[tex]\[ H = 230\ m \][/tex] (Round to the nearest meter)

Answer:

100mm

Step-by-step explanation:

Perimeter is the size of the outer part of the figure. And in this figure, we have a triangle and a semicircle joined together.

Formulae for finding the perimeter of a circle is 2πr, and since it's a semicircle, we divide the answer by 2. Where π is 3.14

2(3.14)(16)/2

50.24

Adding the other parts

50.24+40

90.24

Rounding up to the nearest hundred, we have the number between 0 and 100. 90 is closer to 100 than 0.

Hence, the answer is 100

Answer:

4x / 4 ≤ 25 / 4

x ≤ 6.25

For the first box:  0, 5.25, 3, 6 1/4

5x + 6 - 6 > 21 - 6

5x / 5 > 15 / 5

x > 3

For the second box:  7 3/4, 20, 5.25, 6 1/4

Answer:

Left side: 0, 5.25, 3, 6 1/4

Right side: 7 3/4, 20, 5.25, 6 1/4

Step-by-step explanation:

Plugging everything in should be true to both inequalities.

Answer:

2

Step-by-step explanation:

log4(16)

Rewrite 16 as a power of 4

16 =4^2

log 4(4^2)

We know that log a (b^c) = c log a (b)

2 log 4(4)

We also know that loga (a) =1

2 *1

2

Answer:

The answer is B. 2 on ed.

Step-by-step explanation:

Answer:

The one on the far left.

Step-by-step explanation:

Whenever you have a quadratic, you will tend to see the y values mirror each other.

Example:

x | -2 | -1 | 0 | 1 | 2 |

y | 6 | 3 | 1 | 3 | 6 |

This is why, when graphed, it make a U shape.

Answer:

the correct answer for 28 is 5*b

5b

Answer:

V= 2 times 4 times 5

Step-by-step explanation:

In order to calculate the volume of a figure u must calculate lwh or length times width times height. In this case length is 5 width is 4 and height is 2. This can be plugged in and becomes 2 times 4 times 5.

Answer:

[tex]V= 2*4*5[/tex]

Step-by-step explanation:

The formula for a rectangular prism is [tex]V=w*h*l[/tex] so substituting:

width = 4 cm

length = 5 cm

height = 2 cm

So the equation would be [tex]V=2*4*5[/tex] and the volume would be [tex]V=40[/tex].

Answer:

1.2

Step-by-step explanation:

He bought= 3 bags

Kg of one bag=1⅖

3×1⅖=1.2 kg

She bought 1.2 kg of beans..

The number of kilograms of beans did she buy will be 4.20 kilograms.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A chef bought 3 bags of beans. Each bag contains 1 ²/₅ kilogram of beans.

Convert the mixed fraction number into a fraction number. Then we have

1 ²/₅ = 1 + 2/5

1 ²/₅ = (5 + 2) / 5

1 ²/₅ = 7/5

The number of kilograms of beans did she buy will be given as,

⇒ 3 x 7 / 5

⇒ 21 / 5

⇒ 4.20 kilograms

The number of kilograms of beans did she buy will be 4.20 kilograms.

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Answer:

B) Reflection

Step-by-step explanation:

The two figures mirror each other.

The total number of digits used to write all the integers from 1 to 12 are 15.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Given that, Rena wrote all the integers from 1 to 12.

So, the integers from 1 to 12 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Here, 1 to 9 are single digits

10, 11 and 12 has two digits

Thus total number of digits = 9×1+3×2

= 9+6

= 15

Therefore, the total number of digits are 15.

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The total number of digits Rena wrote is:

[tex]\[\boxed{15}\][/tex]

To find the total number of digits Rena wrote when she wrote all the integers from 1 to 12, we need to consider each range of numbers separately based on their digit counts.

1. Single-digit numbers (1 to 9):

  - There are 9 single-digit numbers.

  - Each single-digit number contributes 1 digit.

  - Total digits from 1 to 9:

[tex]\[ 9 \times 1 = 9 \][/tex]

2. Two-digit numbers (10 to 12):

  - There are 3 two-digit numbers: 10, 11, and 12.

  - Each two-digit number contributes 2 digits.

  - Total digits from 10 to 12:

[tex]\[ 3 \times 2 = 6 \][/tex]

Adding the digits from both ranges gives us the total number of digits:

[tex]\[9 + 6 = 15\][/tex]

Thus, the total number of digits Rena wrote is:

[tex]\[\boxed{15}\][/tex]

Answer:

-i

Step-by-step explanation:

i²³⁵ = i²³² × i³

= (i⁴)⁵⁸ × -i

= -i

The difference with any previous decade is much greater than the margin of error.

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely. Because the margin of error depends on the level of confidence, multiple margins of error are available from the same data set.

Thus, although year after year the temperature difference is within the margin of error contemplated in the study, the truth is that the sum of several years shows differences that are not included within this margin, which proves that climate change is real and its negative effects are too.

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Final answer:

Long-term data analysis shows a clear warming trend in global temperatures over the past century, significantly exceeding the margin of error. The increased frequency of warm temperatures and the scientific consensus among multiple groups validate the occurrence of anthropogenic global warming.

Explanation:

A strong counterargument to the media personality's claim that global temperatures are not rising because the yearly increase is within the margin of error is to emphasize the long-term trend and robustness of the data. Examination of global temperature trends over longer periods clearly shows that, even with margins of error considered, there has been a significant increase in global temperatures.

For instance, averaged over land and ocean, Earth's temperature over the past century has increased by approximately 0.7°C, a result that multiple groups worldwide have corroborated using various analytical methods. This consensus adds strength to the argument. When comparing temperature differences with previous decades or even centuries, the change significantly exceeds the margin of error, revealing a clear warming trend.

Moreover, the probability of warm and extreme warm temperatures has increased, while the probability of cold and extreme cold temperatures has decreased, supporting the conclusion that anthropogenic global warming is occurring and substantiating its impact beyond the bounds of statistical uncertainty.

Answer: $13.50.

Step-by-step explanation: 81 divided by 6 = 13.5. That means he got $13.50 an hour.

His hourly rate of pay is $13.50. You would need to divide 81/6 since you want to figure out x/1.

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... si cada uno de ellos hicieron una contribución de dieciseis pesos...

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x =  y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 =  $14.8, then they would get altogether the exact cost of the trip

Answer:

Jill's feet are 17 feet from the balloon.

Step-by-step explanation:

The situation is sketched in the figure attached.

The from the ground to the balloon, the distance from Jack to Jill, and the distance from the balloon to Jill's feet forms a right triangle.

The Pythagorean Theorem says the sum of the squares of the sides of the  right triangle is equal to the square of its hypotenuse [tex]x[/tex]:

[tex](8ft)^2+ (15ft)^2 = x^2[/tex]

simplifying we get

[tex]64ft^2+225ft^2=x^2[/tex]

[tex]289ft^2= x^2[/tex],

and take the square root of both sides to get:

[tex]x = \sqrt{289ft^2}[/tex]

[tex]\boxed{x = 17ft.}[/tex]

Thus, Jill's feet are 17 feet from the balloon.

Answer:

0.0548

Step-by-step explanation:

The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour.

To find the the probability that a selected battery will have a life span of at most 2.1 hours, we need to first determine the z-score for x=2.1 hours using

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

We substitute the values to get:

[tex]z = \frac{2.1 - 2.5}{0.25} = - 1.6[/tex]

We read read -1.6 from the standard normal distribution table to get:

P(X≤2.1)=0.0548

The probability that the selected battery will have a life span of at most 2.1 hours is 0.0548.

Given information:

The life span of a battery is the amount of time the battery will last.

The distribution of life span for a certain type of battery is approximately normal with a mean of 2.5 hours and a standard deviation of 0.25 hours.

The z-value for the probability that the selected battery will have a life span of at most 2.1 hours will be calculated as,

[tex]z=\dfrac{x-\mu}{\sigma}\\z=\dfrac{2.1-2.5}{0.25}\\z=-1.6[/tex]

Now, use the standard normal distribution table or curve to get the value of required probability as,

[tex]P(x=2.1)=0.0548[/tex]

Therefore, the probability that the selected battery will have a life span of at most 2.1 hours is 0.0548.

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Answer: multiply it

Step-by-step explanation:

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

[tex]14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64[/tex]

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

[tex]A = a * b[/tex]

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

[tex]A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2[/tex]

Thus, the total area is[tex]A_ {t} = 156 \ cm ^ 2[/tex]

Answer:

The perimeter of the figure is 64 centimeters.

[tex]A_ {t} = 156 \ cm ^ 2[/tex]

Answer:

3000$

Step-by-step explanation:

900$ 30% /:30

30$ 1% /*100

3000% 100%

Mr. Clark's monthly salary is $3000, determined by dividing his food expenses of $900 by 30%, which is the portion of his salary he allocates to food.

To determine Mr. Clark's monthly salary, we use the information given that $900, which he spent on food, is 30% of his monthly salary. To find the total salary, we can set up a simple equation and solve for the salary.

Let salary be the total monthly salary of Mr. Clark. Then, 30% of the salary is equivalent to the amount spent on food:

To find the salary, divide both sides of the equation by 0.30:

Therefore, Mr. Clark's monthly salary is $3000.

This simple percentage calculation is a fundamental concept in managing a personal budget and understanding how much of one's income is dedicated to different expenses like food, housing, and savings.

Answer: 90 mph

Step-by-step explanation:

so if 60 miles in 40 minutes have of 40 is 20 and 40 +20 = 60

so half of 60 is 30. so therefore 90 miles is 60 mins.

Answer:

to be honest i dont know  but i think it is 2400

Step-by-step explanation:

you need to do miles x mins i think i dont knoe try ask your family members

Answer: 250.5g of meat per guest

Step-by-step explanation:

Convert kg to gram to be in the same unit, 1kg = 1000g; therefore multiply 4.008kg by 1000= 4008g

With 4008g of meat available, Divide the available gram of meat by the number of guests

=4008g÷ 16

=250.5g is available per guest

I hope this helps.