Which of the following expressions is equivalent to −56−13? Select all that apply. A. (−56)⋅(−3) B. (−65)⋅(−3) C. (−65)⋅(−13) D. (56)÷(13) E. 56⋅(−3)

please answer soon, in the middle of a test, thx

Holy will take 13/5 or 2.6 hours to finish the bookcase.

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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To determine the modified box plot for the given data set: 54, 70, 72, 74, 75, 76, 77, 81, 84, 105, follow these steps:

Find the median (middle value) of the data set, which is 76.

Find the lower quartile (Q1), which is the median of the lower half of the data set, 54, 70, 72, 74, and 75. The median of this subset is 72.

Find the upper quartile (Q3), which is the median of the upper half of the data set, 77, 81, 84, and 105. The median of this subset is 82.5.

Calculate the interquartile range (IQR), which is the difference between Q3 and Q1: 82.5 - 72 = 10.5.

Identify any outliers in the data set. In this case, there is an outlier value of 105.

Plot the modified box plot with the minimum value (54), Q1 (72), median (76), Q3 (82.5), and maximum value (105). The outlier is represented as a point outside the whiskers.

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Answer:

1

I hope this helps!

1 is the slope of y= x + 7

Answer:

$180

Step-by-step explanation:

  Simple interest → ( principal * rate of interest * time in years ) ÷ 100

Here the principal is $3,000, rate of interest is 12%, years in years will be

(6/12) = 0.5 years

Using the formula:

Interest charge →  ( 3,000 * 12  * 0.5 ) ÷ 100

                          → ( 18000 ) ÷ 100

                          → $180

Answer:

last one: 20

Step-by-step explanation:

4 divided by 5 is 0.8

so is 20 divided by 25

The magnitude of vector A of the following components AX and AY is 88.95m

In this question we will apply the pythagoras theorem which will be depicted as

\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)

where , R = resultant magnitude of vector

            AX and AY are the components of vector

As per the question

AX = 83m

AY = 32m

Putting the values in the equation (1) we get

                               \(R= \sqrt{83^{2} +32^{2} }\)

                               \(R =\sqrt{6889+1024}\)

                               \(R=\sqrt{7913}\\\)

                               R  =  88.95m

Thus the magnitude of vector A for the following components is 88.95m

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Answer:

B.

Step-by-step explanation:

Took the test :}

Answer:

3 times - 2,times 8-13

You solve the ones in the bracket first

(the rule of BODMAS)

So 8-13 first, then

-2times 8-13,then

Then you get your answer

Answer:

1200 ÷ 4 = 300

Step-by-step explanation:

Answer:

possible

Step-by-step explanation:

It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.

Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8

To find: The time required to become Rs. 10951.8

Step 1: Calculation of Interest:

Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8

Step 2: Calculation of Time:

Time = (100 * Earned interest) / (Principal * Rate * 12/100)

Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,

Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)

= 100 * 1551.8 / 9400 * 11/3 * 12/100

= 15518 / 3636

= 15518/3636*100/100

= 426.906 or 426.91

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The first step to factorizing a polynomial is taking the Highest Common Factors.

Like Algebraic expressions, polynomials are expressions that consist of both coefficients and variables are called Polynomials.

The factors that are multiplied to obtain the original expressions are known as factors of the given polynomial.

Factorization is the method used to determine the factors of a given polynomial or mathematical expression.  

To factorize a given polynomial first we need to take the Highest common factors from the 4 terms of the polynomial.

Example:

x²-5x -10x +50    

To factorize the polynomial

Take common Highest Common Factors  

=> x(x - 5) -10(x - 5)        

=> (x - 5) (x - 10)

∴ Factors of given polynomial is (x - 5) and (x - 10)

Therefore,

The first step to factorizing a polynomial is taking the Highest Common Factors.

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Answer:

$14.43¢

Step-by-step explanation:

We are given; \(1\frac{2}{5}\) pounds, 1 pound = $4.20 and \(2\frac{1}{4}\) pounds,1 pound = $3.80 that Andrea bought.

Now we need to find her total cost. To do that, we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert \(1\frac{2}{5}\) to a decimal. It is 1.4. Now we can set up a graph.

Avocados

\(\frac{4.2}{1}=\frac{x}{1.4}\)

Switch sides

\(\frac{x}{1.4}=\frac{4.2}{1}\)

Apply rule: \(\frac{a}{1}=a\)

\(\frac{x}{1.4}=4.2\)

Multiply both sides by 1.4

\(\frac{1.4x}{1.4}=4.2\cdot \:1.4\)

Simplify

\(x=5.88\)

So, her cost for avocados is $5.88¢

Now we must first find the cost of the avocados. To do so, let us set up a graph. But before that is done, convert \(2\frac{1}{4}\) to a decimal. It is 2.25. Now we can set up a graph.

Asparagus

\(\frac{3.8}{1}=\frac{x}{2.25}\)

Switch sides

\(\frac{x}{2.25}=\frac{3.8}{1}\)

Apply rule : \(\frac{a}{1}=a\)

\(\frac{x}{2.25}=3.8\)

Multiply both sides by 2.25

\(\frac{2.25x}{2.25}=3.8\cdot \:2.25\)

Simplify

\(x=8.55\)

So, her cost for asparagus is $8.55¢

Total cost

Now that we have found out how much both of the fruits Andrea bought costs, we need to sum it up (meaning add it) to find the total cost:

$5.88¢ + 8.55¢ =

5.88 + 8.55 = 14.43

Therefore, Andrea's total cost of the fruits is $14.43¢

Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

Answer:

240 days

Step-by-step explanation:

Because she went 216 days but its 90% of the school year. we don't know how much days are actually in the school year so we do 90÷100x we had added a x to the 100 because of that. that equals 216 days. X equals 240 days. By 240=100% x=90% 240 divided

Answer:

2y+6x=180

Step-by-step explanation:

Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.

From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.

Answer:

Step-by-step explanation:

Answer:

A. Because 4:5 and 8:10 are equivalent because

4:5 are already in the lowest term

8 and 10 are can simplify by 2 ensure that you know how to lowest term

8 ÷ 2 = 4 and 10 ÷ 2 = 5 Overall it equals to 4:5

B. Because 18:3 and 6:1 are equivalent because

6:1 are already in the lowest term

18 and 3 are can simplify by 3 ensure that you know how to lowest term

18 ÷ 3 = 6 and 3 ÷ 3 = 1 Overall it equals to 6:1

C. Because 2:7 and 10,000:35,000 are equivalent because

2:7 are already in the lowest term

10,000 and 35,000 are can simplify by 5,000 ensure that you know how to lowest term

10,000 ÷ 5,000 = 2 and 35,000 ÷ 5,000 = 7 Overall it equals to 2:7

Explain why 6:4 and 18:8 are not equal

18 and 8 are can simplify by 2 ensure that you know how to lowest term

18 ÷ 2 = 9 and 8 ÷ 2 = 2 Overall it equals to 9:2 not in 6:4

Explain why 3:6 and 6:3 are not equivalent

3:6 can also represent 6:3 just if you reverse it

3 and 6 are can simplify by 3 ensure that you know how to lowest term

3 ÷ 3 = 1 and 6 ÷ 3 = 2 Overall it equals to 1:2

The diagram represents

9:15 but you can simplify this ratio

9 and 15 are can simplify by 3 ensure that you know how to lowest term

9 ÷ 3 = 3 and 15 ÷ 3 = 5 Overall it equals to 3:5

In fruits

A. For every 4 apples there are 3 oranges

B. The ratio of bananas to oranges is 6:3

C. The ratio of apples to bananas is 4 to 6

D. For every 1 orange there are 2 bananas

The odds against Ishaq getting hired are 15:16, which means that out of 31 potential outcomes (15+16), 15 of them represent him not getting hired and 16 represent him getting hired.

a. To determine the probability that Ishaq gets hired, we need to divide the number of favorable outcomes (16) by the total number of outcomes (31):

Probability (Ishaq gets hired) = 16/31

b. To determine the probability that Ishaq does not get hired, we need to divide the number of unfavorable outcomes (15) by the total number of outcomes (31):

Probability (Ishaq does not get hired) = 15/31
a. To find the probability that Ishaq gets hired, we need to first understand the given odds. The odds against Ishaq are 15:16, which means there are 15 unfavorable outcomes (not getting hired) and 16 favorable outcomes (getting hired).

To find the probability, we'll use this formula:

Probability = Favorable outcomes / Total outcomes

In this case, the total outcomes are the sum of favorable and unfavorable outcomes (15 + 16 = 31). Now, we can calculate the probability that Ishaq gets hired:

Probability Ishaq gets hired = Favorable outcomes / Total outcomes = 16 / 31

So, the probability that Ishaq gets hired is 16/31.

b. To find the probability that Ishaq does not get hired, we can use the unfavorable outcomes:

Probability Ishaq does not get hired = Unfavorable outcomes / Total outcomes = 15 / 31

So, the probability that Ishaq does not get hired is 15/31.

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Answer:

The most recognized symbol of democratic government in the world, the United States Capitol has housed Congress since 1800. The Capitol is where Congress meets to write the laws of our nation, and where presidents are inaugurated and deliver their annual State of the Union messages.

Step-by-step explanation:

Answer:

The correct option is;

x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Step-by-step explanation:

The given parameters are;

The basic plan of the decorator = x wall-color options, x + 1 ceiling-colr options, and x + 3 floor options

The gold plan of the decorator = All of the basic plan options plus 3 additional options in each category

Therefore, the gold plan of the decorator = (x + 3) wall-color options, (x + 1 + 3) ceiling-color options, and (x + 3 + 3) floor options

The total number unique layouts offered by the basic plan = x × (x + 1) × (x + 3) = x³ + 4·x² + 3·x

Also, the total number unique layouts offered by the gold plan = (x + 3) × (x + 1 + 3) × (x + 3 + 3) = (x + 3) × (x + 4) × (x + 6)  = x³ + 13·x² + 54·x + 72

Which gives;

The comparison between the total number of unique layouts offered by the basic and gold plans  as x³ + 4·x² + 3·x  < x³ + 13·x² + 54·x + 72.

Answer:

Below

Step-by-step explanation:

Although 4 and 5 are equal angles, the corresponding angle is 8

"the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal."

The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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Answer:

f(3) = -1

Step-by-step explanation:

given f(x) = -x + 2

to find f(3), we have to replace x with 3

f(3) = -3 + 2

f(3) = -1

Answer:

x+2

Step-by-step explanation:

x^2+x-7 = x+2

Answer:

The answer is 1/4!!

<3 love

To find the value of s3 in the given sigma summation series and calculate the truncation error, let's first analyze the series and determine its pattern.

The series can be written as:

s = (0.2 * 1) / 0.8 + (0.2 * 2) / 0.8 + (0.2 * 3) / 0.8 + ...

We notice that each term in the series has the form (0.2 * n) / 0.8. We can simplify this expression by dividing both the numerator and denominator by 0.2:

s = n / 4

Now, let's calculate s3 by substituting n = 3:

s3 = 3 / 4

s3 = 0.75

So, the value of s3 in the series is 0.75.

Now, let's calculate the truncation error. The truncation error is the difference between the actual sum of the series and the sum obtained by truncating or stopping at a certain term.

Given that the series sum is 0.3125 and we have s3 = 0.75, we can calculate the truncation error:

Truncation error = |Actual sum - Sum truncated at s3|

Truncation error = |0.3125 - 0.75|

Truncation error = |-0.4375|

Truncation error = 0.4375

The truncation error in this case is 0.4375.

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Answer:

2f + 2e

Step-by-step explanation:

4f -2f = 2f

3e - 1e = 2e

2f + 2e

To find the dimensions of the second rectangular prism that will have the same surface area as the first one, we can use the formula for the surface area of a rectangular prism which is:

Surface Area = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height of the rectangular prism.

For the first rectangular prism, we have:

l = 3 m w = 7 m h = 4 m

Surface Area = 2lw + 2lh + 2wh Surface Area = 2(3)(7) + 2(3)(4) + 2(7)(4) Surface Area = 42 + 24 + 56 Surface Area = 122 m²

To find the dimensions of the second rectangular prism that will have the same surface area as the first one, we can use this formula again and solve for one of the variables. Let’s solve for l:

Surface Area = 2lw + 2lh + 2wh 122 = 2l(w+h) + 2wh 122 = 2l(w+h) + w(4) 122 = 2l(w+h) + 4w 118 = l(w+h)

Now we can choose any value for w and h and solve for l. Let’s choose w=1 and h=1:

118 = l(1+1) 118 = l(2) l = 59

So the dimensions of the second rectangular prism that will have the same surface area as the first one are:

l = 59 m w = 1 m h = 1 m

Answer:

16

Step-by-step explanation: