Tim answered all the questions on the math test but got 10 wrong answers. He got 4 points for each correct answer, there were no penalty points for incorrect answers. His score was 76 points.

Write an equation to find the total number of questions (q) on Tim's math test

Answers

Answer 1

The equation to find the total number of questions (q) on Tim's math test is 76 = 4x + 0

How to write and solve equation?

Number of wrong questions = 10

Points received for right question = 4 points

Points received for wrong question = 0 points

Total of Tim's score = 76%

Let

the number of questions right answered by Tim be x.

Total points gained by Tim for the right answer = number of questions right answered x Points received for a right answer

= x × 4

= 4x

Points gained by Tim for the wrong answer = number of questions wrong answered x Points received for a wrong answer

= 10 × 0

= 0

Total points scored by Tim = Points gained for the right answer + Points gained for the wrong answer

76 = 4x + 0

76 = 4x

divide both sides by 4

x = 76/4

x = 19

Hence, the number of question answered right by Tim are 19.

Total number of questions attempted by Tim

Total number of questions attempted by Tim

= number of questions answered right +number of questions answered Wrong

= 19 + 10

= 29

Hence, the total number of questions attempted by Tim is 29.

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Related Questions

Someone answer this please thank you

Answers

Answer:

The answer is 1/2

Step-by-step explanation:

x1 y1. x2. y2

(5, 8) (2, 2)

So you suppose to subtract xl by x2 then subtract y1 by y2

5-2.

------=

8-2.

which equal 3/6. Which 3/6 is equal to 1/2

use the appropriate normal distribution to approximate the resulting binomial distributions. a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 22 customers in the sample buy coffee during their visit on that certain day of the week? a) 0.7764 b) 0.7967 c) 0.7224 d) 0.8413 e) 0.8238 f) none of the above.

Answers

The probability that fewer than 22 customers in the sample buy coffee during their visit is 0.7764.

What is a normal approximation to the binomial?

When we utilize a continuous distribution (the normal distribution) to approximate a discrete distribution, we use the normal approximation to the binomial (the binomial distribution). The Central Limit Theorem states that if the sample size is high enough, the sampling distribution of the sample means approximates normality.

In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

Given, 55% of the customers buy coffee, p = 0.55

Sample of 35 customers, n = 35

mean  [tex]\mu[/tex] = np = 35*0.55 = 19.25

standard deviation, [tex]\sigma = \sqrt{np(1-p)}[/tex] = [tex]\sqrt{35*0.55*0.45}[/tex] = 2.94

So,  the probability that fewer than 23 customers in the sample buy coffee is

P(X < 22 - 0.5) = P(X < 21.5)

= [tex]P(\frac{X-\mu}{\sigma} < \frac{21.5-19.25}{2.94})[/tex]

= P(Z<0.765) = 0.7764

Hence, the probability that fewer than 22 customers in the sample buy coffee during their visit is 0.7764.

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Given that (-2,3) is on the graph of y=f(x), find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.

Answer for 100 points.

Answers

The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)

Which ordered pair is on the function y=f(2x+1)+3?

Here we know that for the function:

y = f(x)

And we know that the point (-2, 3) belongs to the function, this means that:

f(-2)= 3

Now we want to find a point on the function:

f(2x + 1) + 3

If we find x such that:

2x + 1 = -2

2x = -3

x = -3/2

Now we can evaluate the function in that value of x to get:

y = f(2*-3/2 + 1) + 3

y = f(-2) + 3

y = 3 + 3

y = 6

Then we have the point (-3/2, 6) on the function.

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Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?

Answers

Answer:

$36

Step-by-step explanation:

Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What is the total cost of the tacos?

$3 * 2 * 6 = $36

Which is the best estimate of the
solution for the system of linear
equations graphed below?
A.(0.5,2)
B. (1.5, 2)
C. (2,1.5)
D. (2.5, 1.5)

Answers

Answer:

B. (1.5, 2)

Step-by-step explanation:

Hope it helps!

Answer:

B

Step-by-step explanation:

The intersection of the two lines looks to be about (1.5 , 2)

in regression analysis, measures the proportion of the variation in the dependent variable that is explained by the independent variable(s).

Answers

The coefficient of determination (R² or r-squared) is a statistical measure in a regression model that determines the proportion of variance in the dependent variable that can be explained by the independent variable.

What is variance?

Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.

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What is the difference in total degrees between a regular hexagon and a regular pentagon?.

Answers

Answer:

180

Step-by-step explanation:

Pentagon has a total interior angle of 540 degrees.

Hexagon has a total interior angle of 720 degrees.

720-540 = 180

if i don't get this right i fail

Answers

The value of x in the first circle is 2, and in the second circle is 4 after applying the intersecting secants theorem.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

A circle:

Applying intersecting secants theorem:

4(4 + x) = 3(3 + 5)

16 + 4x = 24

4x = 8

x = 2

In the second circle:

9(4x) = 8(4x+2)

After solving we get:

x = 4

Thus, the value of x in the first circle is 2, and in the second circle is 4 after applying the intersecting secants theorem.

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Find the missing value. Round your answer to the nearest tenth of a percent. Principal=$1300, Rate=?, Time=18 months, Simple Interest=$90

Answers

The missing value in the simple interests formula is rate and it is solved to be 4.62%

How to find the rate

The formula for simple interest is

= P * T * R / 100

P = principal= $1300

T = time = 18 months = 1.5 years

R = rate = ?

simple interest = $90

substituting the values

90 = 1300 * 1.5 * R / 100

90 * 100 = 1300 * 1.5 * R

9000 = 1950R

R = 9000 / 1950

R = 4.615385

R = 4.62

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3x + 4x +5x = 4(x + 2) Please write as the actual answer and a decimal

Answers

Answer: 1

Step-by-step explanation:

We can rewrite the equation as

12x = 4x +8

8x= 8

x=1

use the product rule to find the derivative of the given function. b. find the derivative by expanding the product first.

Answers

The derivative of the given function using product rule is 6x+1 .

What is Product Rule?

This rule is used when we want to differentiate a function that may be regarded as the product of one or more functions.

Let u(x) and v(x) be differentiable functions.Then the product of the functions u(x)v(x) is also differentiable and: (uv)′=u′v+uv′

Main Body:

We add the derivative of the first times the second to the first times the

derivative of the second.

Power Rule:

If f(x)=xn

where n is any real number, then:

(xⁿ)′=nxⁿ⁻¹

. We have,

f(x) = (x-1) (3x+4)

Differentiate with respect to z by using product rule

(uv)′=u′v+uv′

h' (x) = (x-1)' (3x+4) +(x-1)(3x+4)'

h'(X) = 1(3x+4) + (x-1) (3)

On simplifying:

h'(x) = 3x+4 +3x-3

h'(x) = 6x +1

Hence the derivative of function is 6x+1.

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explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters are exponentially distributed with mean 10 feet. find the mean and variance of the areas produced by these explosive devices.

Answers

The mean and the variance of the areas produced by these explosive devices is 314

Variance:

In statistics, variance refers a measure of dispersion that takes into account the spread of all data points in a data set.

Given,

Here explosive devices used in mining operations produce nearly circular craters when detonated. the radii of these craters are exponentially distributed with mean 10 feet.

Now, we need to find the mean and variance of the areas produced by these explosive devices.

In order to find the means and variance we have to use the formula ,

A = πr²

Here the value of r is 10,

Then the value of A is calculated as,

=> A =  π(10)²

=> A =  π x 100

We know that the value of  π = 3.14, then the value of A is,

=> A = 3.14 x 100

=> A = 314.

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In two or more complete sentences, describe how to determine if the function f(x)=2cos(x) is even by looking at a graph.

Answers

The given function f(x) = 2 cos (x) is an even function because the result of the cosine of negative angles are the same with those of positive angles.

How to determine an Even Function?

To check if a function is odd or even, we have to calculate f(−x).

The function is even if f(-x) = f(x)

The function is odd if f(-x) = -f(x)

We are given the function as; f(x) = 2 cos (x)

f(-x) = 2 cos (-x)

Now, we know that the cosine of a negative angle always gives the same value as the cosine of the positive angle and as such, we can say that;

2 cos (-x) = 2cos (x)

The same result as f(x) which tells us that it is an even function

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explain why we need to define the vector space p n as the set of all polynomials with degree up to and including n instead of the more obvious set of all polynomials of degree exactly n .

Answers

Any n-dimensional vector should be able to be represented in space

What is standard form of a polynomial?

When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.

To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable

Any n-dimensional vector should be able to be represented in space.

If it only has terms of degree n, it can only express polynomials of degree n.

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Solve 3x² - x = 10

A.X=2 and X=-15
B. X=-5 and X= 2/3
C. X=-5/3 and X=2
D. X=-3 and X=10

Answers

Answer:

C. x = -5/3 and x = 2

Step-by-step explanation:

Bring the 10 over to the other side of the equation.

3x² - x - 10 = 0

Factorise.

(3x + 5)(x - 2) = 0

3x + 5 = 0 or x - 2 = 0

3x = -5 or x = 2

x = -5/3 or x = 2

question 7 a restaurant gathers data about a new dish by providing free samples to parties of six or more diners. what does this scenario describe? 1 point sampling bias geographically limited sampling unbiased sampling random sampling

Answers

The scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.

What is sampling bias?

Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.

Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.

Hence, the scenario where a restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.

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i need help ASAP please.​

Answers

Answer:

altitude=8mm

Step-by-step explanation:

so a^2+b^2=c^2

substitute and you get

a^2+6^2=10^2

a^2+36=100

a^2=100-36=64

a^2=64

a=8

Answer: 8 mm

Step-by-step explanation:

      The altitude of the triangle can also be known as the "height" from the highest point as a straight line perpendicular to the opposite side (the "bottom" which is also known as the "base" of the triangle).

      This altitude makes two right triangles, so we will use the Pythagorean theorem to help us solve.

      a² + b² = c²

      a² + (6)² = (10)²

      a² + 36 = 100

      a² = 64

      a = 8

 

           The altitude of this triangle is 8 mm.

the base of the first booth is the shape of a triangle. write a polynomial that represents the area of the booth. write your answer in descending order. please use the palette below to enter your answer.

Answers

The polynomial that represents the area of the booth is 3[tex]t^3[/tex]-12t.

How to calculate polynomial for triangle area?

Polynomial is a expression of variable, coefficients, and constants with mathematics operation of subtraction, addition, multiplication, and powers (only positive integers) of variable.

So, basically to calculate polynomials is the same as normal calculations except that the numbers are changed to variables.

Base length = 2[tex]t^2[/tex]-8

Height length = 3t

Calculate the area of triangle. So,

Area of triangle = (1/2) × base × height

= (1/2) × 2[tex]t^2[/tex]-8 × 3t

= (1/2) × 6[tex]t^3[/tex]-24t

= 3[tex]t^3[/tex]-12t

Thus, the area of the booth can be written by this polynomial 3[tex]t^3[/tex]-12t.

Your question is incomplete, but most probably your full question was (image attached).

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if a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution, what can you conclude about the students' scores?

Answers

If a set of exam scores forms a normal, symmetrical distribution with all measures of central tendency in the center of the distribution we can say about student's score that, about an equal number of students had relatively high and relatively low score.

A symmetrical distribution entails that the scores have the same number at a given distance above or below the average. Therefore an equal number of people had relatively high and relatively low scores. This contradicts most having relatively high or low scores, or not drawing any conclusions about scores.

Symmetrical distribution is evident when values of variables occur at a regular interval. In addition, the mean, median and mode occur at the same point.

Three of the many ways to measure central tendency are the mean, median and mode.

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Five bands in a tour agree to determine the order of performance based on random selection. The names are placed on cards and the cards are pulled randomly.

What is the probability of Ultraviolet performing fourth and Abacus performing last?
A: 3/5
B: 7/120
C: 7/32
D: 1/20

Answers

The probability of Ultraviolet performing fourth and Abacus performing last is 1/20.

What is probability ?

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

In a tour, five bands agree to determine the order of performance on the basis of random selection.

Since, the name of 5 bands are pulled randomly.

The probability of Ultraviolet performing fourth = 1/5

And the probability of Abacus performing last = 1/4, since 1 place is fixed for Ultraviolet.

Probability of Ultraviolet performing fourth and Abacus performing last

= 1/5 x 1/4 = 1/20

The required probability is 1/20.

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a binomial distribution has a 60% rate of success. there are 18 trials. what is the probablility that there will be at least 12 successes

Answers

The probability that there will be at least 12 successes in the total 18 trials with 60% rate of success is ¹⁸C₁₂(0.6)¹²(0.4)⁶+¹⁸C₁₃(0.6)¹³(0.4)⁵+¹⁸C₁₄(0.6)¹⁴(0.4)⁴+ ¹⁸C₁₅(0.6)¹⁵(0.4)³ +¹⁸C₁₆(0.6)¹⁶(0.4)²+ ¹⁸C₁₇(0.6)¹⁷(0.4)¹+ ¹⁸C₁₈(0.6)¹⁸(0.4)⁰

Binomial Probability distribution, In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments.

We have given that :

Rate of sucess (p) = 60% = 0.6

Rate of failure (q) = 1 - 0.6 = 0.4

Number of trials (n) = 18

We want to find P(there will be at least 12 sucess)

Use binomial distribution to find given mentioned probability.

X ~ Bin( 18, 0.6)

P (X= x ) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Let, X= Number of success among 18

So that it suitable for binomial distribution with parameters are n and p.

P(there will be atleast 12 success)

= P(X>= 12)

18

= ∑ ⁿCₓ (p)ˣ(q)⁽ⁿ⁻ˣ⁾ =

x = 12

¹⁸C₁₂(0.6)¹²(0.4)⁶+¹⁸C₁₃(0.6)¹³(0.4)⁵+¹⁸C₁₄(0.6)¹⁴(0.4)⁴+ ¹⁸C₁₅(0.6)¹⁵(0.4)³ +¹⁸C₁₆(0.6)¹⁶(0.4)²+ ¹⁸C₁₇(0.6)¹⁷(0.4)¹+ ¹⁸C₁₈(0.6)¹⁸(0.4)⁰

= say x

Hence, the required probability is x

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Two towns have accumulated different amount of snow. IN town 1, the snow depth is increasing by 3 1/2 inches every hour, and currently has 5 inches of snow. IN town 2, the snow depth is increasing by 2 1/4 inches every hour, and currently has 6 inches of snow. In how many hours will the snowfall of both towns by equal.

Answers

The snowfall of both towns by equal in 4/5 hours or 48 minutes.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming the no. of hours to be x, therefore the expression for town 1 is

y = (7/2)x + 5 and the expression for town 2 is y = (9/4)x + 6.

The snowfall of both towns by equal when,

(7/2)x + 5 = (9/4)x + 6.

(7/2)x - (9/4)x = 6 - 5.

[(14 - 9)x]/4 = 1.

(5/4)x = 1.

x = 4/5 hours Or (4/5)×60 = 48 minutes the snowfall of both towns by equal.

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question: 14. which of the following shapes replaces the question mark to complete the series? ? 8 oo aa

Answers

Pattern Recognition is defined as the pattern is a number, shape, or something repeated in a particular way. Analysis of patterns should consider on different basis. The correct option is option (d).

The main basis of Pattern Recognition are the following:

1. Color change

2. Shape change

3. Rotation change

4. Size change

we have given three shapes pattern and we have to find out the perfect shape for forth place and the required shape follow the order like others.

After examine the pattern, we can see that the first figure is a filled triangle and the second figure is a hollow circle. This pattern is maintained alternately. The last figure(3rd place) is an open circle, so the next figure is a filled triangle.

So, the correct option is d.

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Helppppppppppppppppppppppppp

Answers

First, evaluate (-4/7)^2 to get 16/49

Then multiply by the negative for -16/49

Answer:

-[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

First do: (-[tex]\frac{4}{7}) ^{2}[/tex], which is -[tex]\frac{4}{7}[/tex]*-[tex]\frac{4}{7}[/tex] which is [tex]\frac{16}{49}[/tex] and then add in the other negative:   -[tex]\frac{16}{49}[/tex]

33, 25, 42, 25, 31, 37, 46, 29, 38 what is the interquartile range of the data?

Answers

The interquartile range of the data will be 13

When arranged from lowest to highest, the IQR reflects the median 50% of values. To calculate the interquartile range (IQR), firstly compute the median (middle value) of the data's lower and upper halves. All those are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The interquartile range is the difference between quarters three and then one.

first, let us sort the data from lowest to highest

25,25,29,31,33,37,38,42,46

Q1- median of the lower half of the data=(29+25)/2=27

Q3-median of the upper half of the data=(38+42)/2=40

the interquartile range of the data will be Q3-Q1

40-27= 13

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let m be the number of five-element subsets that can be chosen from the set of the first 14 natural numbers so that at least two of the five numbers are consecutive. find the remainder when m is divided by 1000.

Answers

There are 123 different possibilities. Therefore, we can derive from the multiplication principle that there are 13(123) ways.

Probability: The branch of mathematics known as probability deals with numerical expressions of the probability that an event will occur, or the probability that a statement will be true.

The probability of an event is a number between 0 and 1, with approximately 0 meaning improbability and 1 meaning certainty.

The probability of an event occurring increases with its probability. A simple example is tossing a fair (fair) coin.

Both outcomes (heads and tails) have equal probability, the coin is fair, heads are more likely than tails, there are no other possible outcomes, and either outcome has half the probability.

According to our question:

Let n be the maximum number of subsets of 5 elements that can be chosen from the first 14 natural numbers,

where at least 2 of the 5 digits are consecutive.

We created a block of two consecutive numbers ((1,2), (2,3), (13,14), etc.).

Now you can select this block in 13 different ways. You have to choose 3 numbers from the remaining 12 numbers.

So, from the multiplication principle, we know that we have 13 × (123).

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What is the distance between (-3, 4) and (-3, 10)? on a graph

Answers

Answer:

6 units away

Step-by-step explanation:

Since they already have the same x-axis I just need to find the difference in the y-axis

Please Help what is x

Answers

Answer:  x=[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

There are special right triangles in this! First, you need to find out what I am saying.

45-45-90 triangle

The bottom triangle has angles measures of 45, 45, and 90 degrees. There is a theorem that states that the two legs are equal, and the hypotenuse is leg×[tex]\sqrt{2}[/tex].

Plugging it in will give you leg lengths of  [tex]4\sqrt{2}[/tex].

Plug in that number into the side that connects with our next very special triangle:

30-60-90 triangle

Another theorem states that the hypotenuse is shorter leg times 2, the longer leg is shorter leg times [tex]\sqrt{3}[/tex].

Great! We have the shorter leg. Now we need to find the hypotenuse. Multiply [tex]4\sqrt{2}[/tex] by 2, and you get [tex]8\sqrt{2}[/tex]. That is x!

The final answer to this problem is: x=[tex]8\sqrt{2}[/tex]

Hope this helped a lot!

My answer would be x is equal to 8 check 2

If x4xy= x16, what is the value of y?

Answers

Answer:

4/x

Step-by-step explanation:

m/4 = 77°, m/8 = 4x + 57

Answers

the answer would be: -13948275
Other Questions
the nurse teaches a patient diagnosed with chronic stable angina about the pharmacologic action of nitroglycerin. the nurse would include what accurate statement? Quick easy story and answer one easy question! help wanted! 20 points! please i beg of u to help it would mean alot. please dont take the points and not give me a answer :(( thank you again QUESTION 3Only TWO descriptions are used in total, one for theme 1. and one for theme 2. YOU CAN ONLY HAVE ONE ANSWER IN ONE THEME AND ANOTHER IN ONE THEME Match ONE description to each ONE theme to show how the theme is developed in the story.THEMES:1. Friends know just what we need.2. Sometimes life changes whether we want it to or not.A. ::through the shared interests of the boysB. ::through the father's promotionC. ::through the father's advice to his sonD. ::through the gifts that the boys give each other what atomic or hybrid orbitals make up the sigma bond between and in acetic acid, ch3cooh ? ( is the second carbon in the structure as written. is the first oxygen in the structure as written.) orbital on orbital on what is the approximate c1-c2-o1 bond angle? angle Choose the option that best matches the description given.This amendment protects freedom of assembly: Bobby and Michael are competing by running up bleachers. Both runners weigh the same. Bobby runs up thebleachers in 30s and Micheal run up the same bleachers in 40s. Who is more powerful? A Bobby and Michael are both equally powerful.B Michael because he took longer to run up the stairs.C Bobby because he runs up the stairs faster.D Bobby because he does more work. the nurse is monitoring a new mother changing her newborn's diaper and notices a musty smell to the infant's urine. which condition should the nurse prioritize in further assessments to rule out? c. we may think of a bulb as presenting an obstacle, or resistance, to the current in the circuit. 1. thinking of the bulb in this way, would adding more bulbs in series cause the total obstacle to the flow, or total resistance, to increase, decrease, or stay the same as before. 2. formulate a rule for predicting how the current through the battery would change (i.e., whether it would increase, decrease, or remain the same) if the number of bulbs connected in series were increased or decreased. What type of pair of angles are2 and angle11 ? When faced with predictable variation in demand, firms often adopt a production __________ strategy, where the rate of output remains relatively stable.smoothing HELP?!Trace the events leading to our entry into World War I. Evaluate Woodrow Wilsons leadership. Select whether the pair of lines is parallel, perpendicular, or neither. y4=3(x+5), y+3=13(x+1) Which of the following provides a suite of integrated software modules for finance and accounting, human resources, manufacturing and production, and sales and marketing that allows data to be used by multiple functions and business processes? which type of housing is designed to allow people to stay in their homes as they grow older and more frail? what is the tension in the rope, and what is the magnitude of the force that the floor exerts on the plank? Solve for x. y=695x+15=y+2x-5 does anyone know this? For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: f (x) = negative 9 x squared + 7 x Table A a b c up or down y-intercept -9 -7 0 down (0,0) Table B a b c up or down y-intercept 2 7 0 down (0,0) Table C a b c up or down y-intercept 9 7 0 down (0,0) Table D a b c up or down y-intercept -9 7 0 down (0,0) a. Table A c. Table C b. Table B d. Table D In paragraph form, answer the following prompt. Describe the importance of the Trans-Saharan trade route on the economies of Africa and Europe. slotting is defined as the placement of product in a facility for the purpose of optimizing materials handling and space efficiency. Rewrite 16a4b + 8ab3 using a common factor. 2a4b(8 + 4ab3) 4ab(4a3 + 8ab3) 8ab(2a4b + 8ab3) 8ab(2a3 + b2)