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A bag contains 200 pieces of candy. Every day, 5 pieces of candy are removed
from the bag. Which function shows the amount of candy, c, left in the bag after
d days? *

Answer:

See below

Step-by-step explanation:

You need to create an equation that will give you the results with the correct units of measurement that they are asking for.  In the first question, they are asking you to give the answer in seconds.  So when you set up your equation, seconds have to be on the top.  The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it.  Then it's easier to set up the equation as below.  The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power.  Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number.  This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.

   1 sec          2300 x 10⁸ m

--------------  X  --------------------  =

 3 x 10⁸ m             1

When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out.  So you can drop the exponent all together and just divide the top number by the bottom number  2300 ÷ 3 which equals 766 seconds.

The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars.  By subtracting those two, it will tell you how far Mars is from the Earth.  You can change the numbers a little bit to make it easier on you.  Again you want the exponent for both numbers to be the same to make it easier.  When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.

The distance between the Sun and Mars is 23 with 10 zeros after it.  So that is the same as writing 23 x 10¹⁰.  The distance from the Sun to Earth is said to be 1.5 x 10¹¹ but that is a different exponent.  So if you move the decimal on this number one place to the right, it will be 15 x 10¹⁰.  Now you can easily subtract those numbers without worrying about the exponent since they are the same.

23-15 =8  but now you have to put the exponent back on.  So your answer ends up being

8 x 10¹⁰  or 8 with 10 zeros or 80,000,000,000 meters.

Answer:

150

Step-by-step explanation:

Answer:

199 steel rods

Step-by-step explanation:

From that attached diagram, we are told that a truss is made by attaching 1 foot long steel rods together.

In order to make an additional length for the Truss, we use this algebraic expression formula:

Number of steel rods = 4x - 1

Where x = Number of feet

Where x = 1 feet

4(1) - 1 = 4 - 1 = 3 steel rods

From the above question, we are asked to determine number of steel rods in a 50 feet long truss.

Applying the Formula

4x - 1 = Number of steel rods

4(50) - 1

200 - 1 = 199 steel rods.

Therefore, 199 steel rods are in a truss 50 feet long overall

Answer:

75% can be converted into a decimal, any percentage can.

Once converted, 75% is actually .75

At this point you can move the decimal place two place up, and put it over 100, in a fractal form

75/100  

You can then simplify this to

3/4  

You can then use this fraction as a conversion factor with any number, for example if we took the number 8

8∗3/4  

2∗3/1=6

Answer:

3rd option

Step-by-step explanation:

Given the recursive formula with a₁ = - 3 and d = 10

The explicit formula for an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d , that is

\(a_{n}\) = - 3 + 10(n - 1) = - 3 + 10n - 10 = 10n - 13

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

\(100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars\)

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

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

Divide the amount she saves by her monthly salary and then multiply by 100% to get the percentage.

Beth saves 15% of her salary every month.

Answer:

c

Step-by-step explanation:

Answer:

C. 2: 2.5

Step-by-step explanation:

Because if you divide both 4 and 5 by 2 you get 2 and 2.5

I hope this helps!!!!

Answer:

x = -136 and x = 80

Step-by-step explanation:

|(1/4)x +7| - 3 = 24

|(1/4)x + 7| = 27 (transpose 3 and it becomes positive)

now:

(1/4)x + 7 = 27 (first solution)

(1/4)x = 20

x/4 = 20

x = 20×4

x = 80

(1/4)x + 7 = -27 (second solution)

(1/4)x = -34

x/4 = -34

x = -34×4

x = -136

Answer:

this will look like

x=   y   +  4

     __    __

     10     5

the / are over so y on top of 10 and 4 over 5

Answer:

The digits arranged in order from least to largest is 3.011, 3.09, 3.9, 9.3

Step-by-step explanation:

The arrangement of decimals in order from smallest to largest can be done by  taking note of the  digit in the unit portion, the tenths, hundredths and thousandths.

The numbers are;

9.3

3.09

3.9

3.011

The largest number is the 9.3

Of the three numbers with 3 as unit, the lowest hundredths is 0.011, therefore, we have;

Therefore, the least (lowest) number = 3.011

The next is the 3.09 as 0.09 is larger than 0.011

Then the second number is 3.9

The digits arranged in order from least to largest is then 3.011, 3.09, 3.9, 9.3.

Answer:

Ok what’s the problem

Step-by-step explanation:

A possible pair of numbers to complete the second equation is (-8) and 12.

To find different pairs of numbers from the list to complete the equations:

____ x ____ = -96

We can start by listing the factors of -96, which are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±32, ±48, ±96.

Since the product of two negative numbers is positive, we need to find two numbers with opposite signs to get a product of -96. The factors of -96 that have opposite signs are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24.

We can then try different combinations of these factors until we find a pair of numbers that multiply to -96. One such pair is (-8) and 12:

(-8) x 12 = -96

So, one possible pair of numbers to complete the first equation is (-8) and 12.

Next, we need to find different pairs of numbers from the list to complete the equation:

____ ÷ ____ = -96

We can start by dividing -96 by each of the given numbers in the list to see if we get an integer result:

-96 ÷ 24 = -4

-96 ÷ (-12) = 8

-96 ÷ (-3) = 32

-96 ÷ (-4) = 24

-96 ÷ (-48) = 2

-96 ÷ (-6) = 16

-96 ÷ 2 = -48

-96 ÷ (-8) = 12

We can see that the only pair of numbers that gives a quotient of -96 is (-8) and 12:

-96 ÷ (-8) = 12

Therefore, a possible pair of numbers to complete the second equation is (-8) and 12.

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The volume of the moving box is 8,018,968 cubic inches.

To find the volume of the moving box, we need to multiply its length, width, and height. Given that the dimensions are:

Length = 2214 inches

Width = 1812 inches

Height = 22 inches

The volume (V) of the box can be calculated as follows:

V = Length x Width x Height

V = 2214 inches x 1812 inches x 22 inches

V = 8,018,968 cubic inches

Therefore, the volume of the moving box is 8,018,968 cubic inches.

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Answer:

13/4096

Step-by-step explanation:

There are 12 ways the player can make 11 shots and miss one shot, and there is 1 way the player can make all shots, so there is a total of 13 ways that the player makes at least 11 out of 12 free throws.

The total number of possibilities for the free throws is 2^12 = 4096

Therefore, the probability that the player makes at least 11 out of 12 free throws is 13/4096

Answer:

C)

Step-by-step explanation:

The answer is infinitely many solutions

because a1/a2 = b1/b2 = c1/c2.

Hope it helps :)

If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.

Answer:the answer is b

Step-by-step explanation:

Answer:

B ......................

We conclude that the equation x = y^4 satisfies x = 256.

First, we know that:

y^4 - 256 = 0

With this equation, we can find the value of y, it will give:

y^4 = 256

Then:

y = 256^(1/4) = 4

Now if we have the equation x = y^4, we can write:

x = y^4 = 256

x = 256

We conclude that the equation x = y^4 satisfies x = 256.

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Irregular polygons are polygons that do not have equal sides and angles

A polygon is a two-dimensional geometric figure that has a finite number of sides made of straight line segments connected to each other end-to-end.

Irregular polygons are polygons that do not have all sides and all angles equal. Examples of irregular polygons include scalene triangle, right triangle, isosceles triangle, rectangle, parallelogram, irregular pentagon and hexagon.

Every irregular polygon must have

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The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Answer:2.6*10^5

Step-by-step explanation:

Answer:

Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.

Step-by-step explanation:

these are the 5 basic rights, most of them were taken for george floyd

hope this helped

Answer:

Step-by-step explanation:

jjj

The 90% confident that the true population mean cost per night of a hotel room in New York City falls between $254.25 and $291.75.

To find the 90% certainty span gauge of the populace mean expense each evening of a lodging in New York City, we can utilize the recipe:

CI = x ± z*(σ/√n)

Where x is the example mean, σ is the example standard deviation, n is the example size, and z is the z-score related with the ideal certainty level. For a 90% certainty stretch, the z-score is 1.645.

Subbing the given qualities, we get:

CI = $273 ± 1.645 * ($65/√45)

Addressing this condition, we get the certainty stretch gauge to be somewhere in the range of $254.25 and $291.75. The lower worth of the certainty stretch is $254.25. This implies that we can be 90% certain that the genuine populace mean expense each evening of a lodging in New York City falls somewhere in the range of $254.25 and $291.75.

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Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

\(fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115\)

The distance traveled by the hiker is 22.464 km = 22.464 × 1000 = 22464 m.  Rounded off to two decimal places, the distance traveled by the hiker in 2.6 hours is 6.24 km.

The distance traveled by the hiker in a time of 2.6 hours is 6.24 km.

Given data: Average speed of the hiker = 2.4 m/s, Time taken by the hiker to travel = 2.6 hours

First, we need to convert the average speed from m/s to km/h.1 m/s = 3.6 km/h

Therefore, the average speed of the hiker = 2.4 m/s × 3.6 = 8.64 km/h

Now, we can use the formula distance = speed × time to find the distance traveled by the hiker.

Distance = Speed × Time

Distance = 8.64 km/h × 2.6 h = 22.464 km

However, the distance is required in kilometers, not in meters.

Therefore, we convert km to meters.1 km = 1000 m

Hence, the distance traveled by the hiker is 22.464 km = 22.464 × 1000 = 22464 m.

To convert the above value to kilometers, we need to divide it by 1000 (since 1 km = 1000 m).Distance in kilometers = Distance in meters ÷ 1000Distance in kilometers = 22464 m ÷ 1000 = 22.464 km

Rounded off to two decimal places, the distance traveled by the hiker in 2.6 hours is 6.24 km.

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