Adil and Aarif worked as company managers at $14 and $12 per hour respectively. One month, Adil worked 10 hours more than Aarif. If their total income for the month was $3520, how many hours did Adil work during the month?

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

Answer:

A. 8 yes this is an equivalent ratio

B. 4 but not equivalent ratio

C. 8 yes this is and equivalent ratio

D. 5 but this is not an equivalent ratio

Step-by-step explanation:

A. 2•8=16 and 3•8=24 yes this is an equivalent ratio

B. 4•4=16 and 7•4=28 this is not an equivalent ratio

C. 7•8=56 and 8•8=64 yes this is an equivalent ratio

D. 125÷5=25 and 25÷5=5 this is not an equivalent ratio

Answer:

25 inches squared

Step-by-step explanation:

Answer:

Step-by-step explanation: The answer would be

10

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation:

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

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Answer:

$14,000 should be invested in the 4.75% bond

Step-by-step explanation:

We need to find the amount "x" that needs to be invested at 4.75%.

Notice as well that the total to be invested equals $38,000, and therefore, what is going to be invested in the other bond (5.25%) must be "$38,000-x"

We now write the equation for the addition of both interests coming from such investment, recalling the formula for simple interest as : I = P * r * t

Where I = Interest

P = Principal (amount deposited)

r = percent rate in decimal form

t = time (one year)

so for the amount  x on the 4.75% bond, the interest after one year would be:

\(I_1=x\,*\,0.0475\,*\,1=0.0475\,x\)

For the amount ($38000-x on the 5.25% bond, the interest after one year would be:

\(I_2=(38000-x)\,*\,0.0525\,*\,1=1995-0.0525\,x\)

Then, the addition of both interests would render:

\(I_1+I_2=0.0475\,x+1995-0.0525\,x=1995-0.005\,x\)

Now, recall that the investor wants this total interest to be $1925, then we can write the following equation and solve for "x":

\(1995-0.005\,x=1925\\1995-1925=0.005\,x\\70=0.005\,x\\x=70/0.005\\x=14000\)

Therefore, the amount to be deposited in the 4.75% bond should be $14,000

Answer:

$14,000 should be invested in the 4.75% bond

Step-by-step explanation:

We need to find the "x" amount to be invested at 4.75%.

Note also that the total amount to be invested is $38,000, and therefore what will be invested in the other bond (5.25 percent) must be "$38,000-x"

We are now writing the equation for adding both interests from this investment, recalling the formula for simple interest such as: I = P * r * t

Where I care = Interest

P = principal (deposited amount)

R = rate of percent in decimal form

T = One Year Time

So for the x amount of the 4.75 percent bond the interest would be after one year:

For the amount ($38000-x on the 5.25 percent bond, the interest would be: after a year

Adding both interests would then render:

Now, remember that the investor wants that total interest to be $1925, then we can write and solve the following equation for "x"

Answer:

one solution

Step-by-step explanation:

Well, let's find out by solving the equation! I'll put it below and we can start looking at how to isolate x and see if there is one solution, no solution, or infinite solutions:

\(70-10x=-10+40\\\)

First, it's probably a good idea to combine like terms. Both -10 and 40 are like terms on one side of the equation, so we can combine them to get 30. Now our equation looks like this:

\(70-10x=30\)

Next, let's subtract 70 from both sides so we can get the x on one side:

\(70-70-10x=30-70\\-10x=-40\)

Finally, we can divide both sides by -10.

\(\frac{-10x}{-10} =\frac{-40}{-10} \\x=4\)

It looks like there is one solution. Hopefully that's helpful! :)

Answer:

Hanasahorse is right just did it,one solution.

Answer: in this order angle d, e, f line de, ef, fd

Step-by-step explanation:

Answer:

1) a

2)a

3)b

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

-3(4x) = -12x, -3(-2) = -6, and then we have -2x. -12x - 6 - 2x simplified is

-14x - 6.

Answer:

it is the third option

Step-by-step explanation:

the 8 in plant grows 2 in per week, so to find out how much it grows in the following weeks, wee need to multiply 2 by x, then add it to 8m same with the 3 in plant.

Answer:

x=1

Step-by-step explanation:

y=x²-2x-8

First, we solve for the vertex

The equation for the vertex is -b/2a

Substitution:

-b/2a

=-(-2)/(2*1)

=2/2

=1

Therefore the equation for the line of symmetry is x=1

Hope this helps!

Answer:

4498 square feet.

Step-by-step explanation:

The area of the yard on its own without the small part is 4444 square feet. The right extended part is 9 feet because we can see that it extends a bit farther than the other side parallel to it. 59.5-59.5=9. the small slant would be 12 feet. Now we solve the area of a triangle, the small part, as bh/2. 12*9/2=54. Now we add 54 to 4444 and get 4498.

Answer:

The width would be 2

Step-by-step explanation:

36 divided by 18 is two, meaning that if you multiplied 18 by 2 it would be 36. I'm unsure if this is the right answer, but next time please put more info.

Answer: A. About 75% of the time, the median number of letters from the samples of first names was greater than or equal to 5. about the same percentage of the time, the median number of letters from the samples of last names was less than or equal to 5

Step-by-step explanation: now i am not sure if this is right but based on the graph I am most likely right so I might be right I might be wrong and I am very sorry if I am wrong

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

1 feet = 12 inches

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

Part A: To draw triangles ABC and DEC separately, follow these steps:

The lengths of sides BC, DE, and EC are as follows:

Part B: To find side AB of triangle ABC, we can use the concept of similarity and ratios. Since triangles ABC and DEC are similar, their corresponding sides are proportional. We can set up the following proportion:

AB/DE = BC/EC

Plugging in the given values, we get:

AB/1.2 = BC/2

To solve for AB, we can cross-multiply and then divide:

AB = (BC/2) x  1.2

Now we need to find the value of BC. We can use the Pythagorean theorem, as BC is the hypotenuse of triangle ABC. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

BC² = AB² + BE²

Plugging in the given value for BE, we get:

BC^2 = AB² + 0.3²

Now we can substitute the value of AB from the previous equation into this equation:

BC² = ((BC/2) * 1.2)² + 0.3²

Simplifying, we get:

BC² = 0.36 x BC^2/4 + 0.09

Multiplying both sides by 4 to eliminate the fraction, we get:

4 x  BC² = 0.36 x BC² + 0.36 + 0.09

Combining like terms, we get:

4 x  BC² = 0.36  BC² + 0.45

Subtracting 0.36 x BC² and 0.45 from both sides, we get:

3.64 x BC² = 0.45

Dividing both sides by 3.64 to isolate BC², we get:

BC² = 0.45 / 3.64

Taking the square root of both sides to solve for BC, we get:

BC ≈ √(0.45 / 3.64)

BC ≈ 0.357 feet

Now we can substitute the value of BC back into the equation for AB:

AB = (BC/2) x  1.2

AB ≈ (0.357/2) x  1.2

AB ≈ 0.214 feet

So, the approximate length of side AB of triangle ABC is 0.214 feet.

Read more about triangle here:

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See full text below



Triangles ABC and DEC are similar. Side DE is 1.2 feet, side EC is 2 feet, and side BE is 0.3 foot.

Part A: Describe how to draw triangles ABC and DEC separately. Be sure to give the lengths of sides BC, DE, and EC in the description. (6 points)

Part B: Find side AB. Show each step of your work. (6 points)

Answer:

The best measure of center would be the median and its describes the greatest and lowest height.

Step-by-step explanation:

It would be the median because putting them all in a line and counting in helps to find the median but also since there is a space, you know that it automatically has to be the median and since there is that space it would have to be describing the greatest and lowest heights.

Answer:

9 feet easy to solve this is answer

Answer:

576 ft²

Step-by-step explanation:

Large rectangle:

21·36=756

Smaller rectangle:

15·12=180

Find leftover area:

756-180

=576 ft²

Hope this helps! :)

Answer:

The area that is left for development in the field outside the playground is 576 ft².

Step-by-step explanation:

To calculate the area left for development in the field outside the playground, we need to subtract the area of the smaller rectangle from the area of the larger rectangle.

The area of a rectangle is the product of its width and length:

\(\boxed{\sf Area\;of\;a\;rectangle=width \times length}\)

The dimensions of the larger rectangle are:

The dimensions of the smaller rectangle are:

Therefore, the development area can be calculated as follows:

\(\begin{aligned}\sf Development \;area&=\sf Area_{large\;rectangle}-Area_{small\;rectangle}\\\\&=(21 \times 36)-(15 \times 12)\\\\&=756-180\\\\&=576\; \sf ft^2\end{aligned}\)

Therefore, the area that is left for development in the field outside the playground is 576 ft².

Answer:

\( \sqrt{277} \)

Step-by-step explanation:

\(x { }^{2} = 9 {}^{2} + 14 {}^{2} \\ \sqrt{x {}^{2} } = \sqrt{14 {}^{2} + 9 {}^{2} } \\ x = \sqrt{277} \)

Answer:

1. MOM  - you get 12 calls for a dollar

2. $13 dollars - 2 sets of 3 in a pack shirts

3. 16 bottles for $19.99

4. 12 single doughnuts

5. $13 for 16 songs is the better deal

Step-by-step explanation:

Answer: 24

8 + 6 = 14

to find the other missing measure (slanted side) use pythagorean theorem

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

then add all the measurements since it’s perimeter

10 + 6 + 8 = 24

Answer:

P=22

Step-by-step explanation:

b=8

h=6

the slanted side=8

8+8+6=22

Answer: $125

Step-by-step explanation:

1/80=x/10,000

10,000/80=125

Hope this helped!

Answer:125 yen

Step-by-step explanation:
Ratio and proportion

Ratio=1:80=x:10,000

x represents dollars which is unknown

1/80=x/10,000

Then you cross multiply

80x=10,000

80x/80=10,000/80

x=125

Therefore,$125 will give you 10,000yen

Answer:

The answer is 3

y=4x-3❌

Step-by-step explanation:

1)y=3x=3(1)=3✅

2)y=x+2=1+2=3✅

3)y=4x-3=4-3=1❌

4)y=4x-1=4-1=3✅