(subtitution)Determine each ordered pairs if it is a solution of the system 1.{2x + 5y=20{3x-4y=7 a.(5,0)b.(3,2)c.5,2)

Answers

Answer 1

Answer: c. (5,2)

Step-by-step explanation:  We have two equations here and need to calculate the value of x and y.

The two equations are:

2x+5y = 20

3x - 4y = 7

Using the Substitution method,

2x=20-5y

x=(20-5y)/2

Now substitute the value of x in equation (2)

3 × [tex]\frac{20-5y}{2} - 4y = 7[/tex]

60-15y-8y = 14

60-23y=14

-23y = -46

y=2

Now put the value of y in any equation.

x = (20-10)/2

x=5          

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Related Questions

Question 2 (2 points) ✓ Saved
Mr. and Mrs. Smith went out to dinner. their bill was $84.00. Mr. Smith left a 18%
tip. How much was the tip?
A/

Answers


It would be $85 misses you have a team that that was the question in your customers right Mr. say if you -$84 with $.80 back and get the division of the answer
Given :-
Mrs. Smith left a 20% tip for a dinner that cost $85.
To find :-
About how much tip did Mrs. Smith leave?
Solution :-
The tip is 20% of $85
• Calculating 20% of $85
$ 85 * 15%
$ 85*15/100

Suppose a population consists of 850,000 people which of the following numbers of members of the population being surveyed could result in a parameter but not a sample statistic

Answers

The number of members of the population that could result in a parameter but not a statistic is given as follows:

A. 850

What is a parameter and what is a statistic?

A parameter is used to describe the whole population, while a statistic is used to describe the sample.

For this problem, we have that:

The population size is of 850,000.The sample size is of 850.

Meaning that 850,000 describes the population, and thus the correct option is option C.

Missing Information

The options are given as follows:

A. 850

B. Both 850 and 850,000

C. 850,000

D. Neither 850 nor 850,000

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HELP ME PLSSSSSSSSSSSSSSSSSSSSSS;(

Answers

Answer:

a= 3/

Step-by-step explanation:

2/3a-1/6=1/3

2/3a=1/3+1/6

2/3a=1/2

a=1/2×3/

a=3/

A DJ charges an hourly fee and an equipment setup fee.
a. Write a formula for the cost, C, of hiring a DJ for n hours.
b. Find the inverse of the formula. What does the new formula represent?
c. If the DJ charged $550. for how many hours was she hired? Use the inverse formula.
a. C=

Answers

The formula for the cost, C, of hiring a DJ for n hours is C = hn + e

How to write a formula for the cost of hiring a DJ for n hours?

a. The formula for the cost, C, of hiring a DJ for n hours is C = hn + e, where h is the hourly fee and e is the equipment setup fee.

b. To find the inverse of the formula, we can solve for n in terms of C and h:

n = (C - e) / h

The new formula represents the number of hours the DJ was hired for given the cost, C, and the hourly fee, h.

c. If the DJ charged $550, we can use the inverse formula to find the number of hours she was hired for.

n = (550 - e) / h

where e is equipment setup fee.

Since we are not given the equipment setup fee, we can't calculate the number of hours she was hired for.

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Does someone mind helping me with this problem? Thank you!

Answers

Answer: 12x + 15y = 4140, x+y = 300

Step-by-step explanation:

12x represents $12 tickets, 15y represents $15 tickets, x + y is total tickets

Answer:

that a huge prob but yeah

What are the answers for questions C and F. Please show an explanation of how you got your answers. Thank you. I will award you with 30 points if you answer these.

Answers

Answer:

see below

Step-by-step explanation:

C; slope =1/5. The flame length will increase at 5x of the speed increase

or, the speed increase is 1/5 of the flame length increase.

F: Y intercept in the graph is 0, so nothing has happened yet.  no fire, no flame.

suppose you have ten dies with six faces each. if you randomly throw these dies, what the probability that the sum of all the top faces is divisible by 6?

Answers

The probability that the sum of all the top faces is divisible by 6 is 1/6.

1.This is because there are six possible outcomes when the dice are thrown, and only one of these outcomes (where the sum of the top faces is divisible by 6) has a probability of 1/6.

2.The other five outcomes have a probability of 0.
3.To explain this further, consider the following example: if we throw 10 dice, the possible outcomes are 6^10, or 6,561 outcomes. Of these 6,561 outcomes, only 1,089 will result in a sum of the top faces that is divisible by 6.

4.Therefore, the probability that the sum of all the top faces is divisible by 6 is 1,089/6,561, or 1/6.

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what is defined equation 6x−3y=−6

Answers

The slope and the intercept of the linear function 6x - 3y = -6 are given as follows:

Slope of 1.Intercept of 2.

How to define the linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

m is the slope.b is the intercept.

The function in this problem is given as follows:

6x - 3y = -6.

In slope-intercept form, we have that:

3y = 6x + 6

y = x + 2.

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△WXY is a right triangle. Find the length of XY.


a. 80mm

b. 60

c. 69. 3

d. 34. 6

Answers

The length of the side XY taken out by using trigonometric formulas is 12.208 cm.

Now we know that ΔWXY is a right-angled triangle. With ∠XWY = 90°

Hence we see that we can use the trigonometric formulas to find the length of XY

Since ∠YWX = 35° with XW being the corresponding side and XY being the hypotenuse we can use the formula

cosx = base/hypotenuse

Now using a scientific calculator we can calculate

cos35 to be 0.81915

or, base/hypotenuse = 0.81915

or, WX/XY = 0.81915

or, 10/XY = 0.81915

or, XY = 10/0.81915

or, XY = 12.208 cm

Hence the length of side XY is 12.208 cm.

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Complete Question

(Image Attached)

A snail travelled 48 cm in h.
Suppose the snail moved at a constant
speed and made no stops. How far
would the snail travel in 1 h?

Answers

You never said how many hours

Michelle bought a car that costs $25,800 and put a down of $8,000 on it. The car loan is for 60 months and has an interest rate of 3.99%. How much will she actually pay for the car? What will her monthly payment be?

Please show you’re work and be specific for both questions. Due at 10 pm!!

Answers

Answer:

$20239.6

Step-by-step explanation:

The amount financed for the car is $25,800 - $8,000 = $17,800.

To find the monthly payment, you can use the formula:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

where M is the monthly payment, P is the amount financed, i is the monthly interest rate (3.99%/12), and n is the number of payments (60 months).

So,

i = 3.99%/12 = 0.00399

n = 60

M = $17,800 [ 0.00399(1 + 0.00399)^60 ] / [ (1 + 0.00399)^60 – 1]

M ≈ $337.31

So, Michelle will make monthly payments of $337.31 for 60 months.

To find the total amount that Michelle will pay for the car, you can multiply the monthly payment by the number of payments:

$337.31 x 60 = $20239.6

So, the total amount that Michelle will pay for the car is $20239.6

Steve needs to earn a C in his Sociology class. His current test scores are 70, 77, 71, and 71. His final exam is worth 3 test scores. In order to earn a C​, Steve's average must lie between 70 and 79 inclusive. What range of scores can Steve receive on the final exam to earn a C in the​ course

Answers

The range of scores that Steve needs to get an average of 70 to 79 is 66 to 87 Points.

To find the range of scores that Steve needs to have to stay in the 70 to 79 range we first need to define the variables that we need to find.

Let x = Score that Steve needs

Since the exam is worth 3 exams, we will then use 3x to denote the weight of the final exam.

Now we need to add all the other exams and divide it by the number of exams.

[tex]\frac{3x + 70+77+71+71}{7} = 70[/tex]

3x + 292 = 7 *70

3x = 490 -292

3x = 198

[tex]\frac{3x}{3} =\frac{198}{3}[/tex]

x = 66

Now let's look for the score that Steve needs to get to a 79 average.

[tex]\frac{3x + 70+77+71+71}{7} = 79[/tex]

3x + 292 = 7 * 79

3x + 292 = 553

3x = 553 - 292

3x = 261

x = 87

So the range of scores is 66 to 87 Points.

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58-s=g+4g
how could I solve this?​

Answers

Answer:

Answer

Step-by-step explanation:

you can answer these NUTS!!!

as mars revolves around the sun, it travels at a rate of approximately 15 miles per second. convert this rate to miles per minute. at this rate, how many miles will mars travel in

Answers

The speed travelled by mars in miles per minutes is 900. As Given that the mars revolves around the sun at a rate of approximately 15 miles per second.

We know that , Speed = distance / time

Hence we have speed of the mars as  15 miles/sec.

To convert the rate from miles/sec to miles/ minute we have to multiply the given with minute i.e 60 sec.

                    miles x min    =   miles x 60 sec          

                     sec x min              sec x min

           since , 1 minute = 60 sec

 hence, new speed = 15 x 60 miles/ minute.

Therefore , the speed travelled by mars in miles per minutes is 900.

( a) In two minutes mars will travel 900 x 2 times with the same rate.

        i.e 1800 miles per minute.

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The complete question is:

as mars revolves around the sun, it travels at a rate of approximately 15 miles per second. convert this rate to miles per minute. at this rate, how many miles will mars travel in 2 minutes ?

factor 26x to the power of 5 - 13x using the greatest common factor

Answers

The factored form of 26x^5 - 13x is 13x(2x^4 - 1).

What is the greatest common factor?

The greatest common factor (GCF), also known as the greatest common divisor (GCD) or highest common factor (HCF), is a concept in mathematics that refers to the largest positive integer that divides two or more integers without a remainder.

To factor 26x^5 - 13x using the greatest common factor, we need to find the greatest common factor of the two terms.

26x^5 = 213x^5

13x = 13*x

The greatest common factor of the two terms is 13x.

So we can factor it out:

26x^5 - 13x = (13x) (2x^4 - 1)

Hence, the factored form of 26x^5 - 13x is 13x(2x^4 - 1).

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help pls i need to finish my aleks topics

Answers

The answer is 1460 ft^3

Question 4, I need to know the steps to get to the answer

Answers

Answer:  Choice H)  12 inches

===============================================

Explanation:

We'll use the pythagorean theorem converse.

Consider a triangle with sides a,b,c where c is the longest side.

There are 3 scenarios possible:

If a^2+b^2 > c^2, then the triangle is acute.If a^2+b^2 = c^2, then it is a right triangle.If a^2+b^2 < c^2, then the triangle is obtuse.

The middle or second scenario is probably what you're most familiar with. That's the famous pythagorean theorem without the term "converse" attached to it.

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

The two given sides are 8 inches and 10 inches.

Let's say the third side was 5 inches (choice F)

This means we have a triangle with sides a = 5, b = 8, c = 10

Then compute the following:

a^2+b^2 = (5)^2 + (8)^2 = 89c^2 = (10)^2 = 100

Since 89 < 100, we see that a^2+b^2 < c^2 is the case. Therefore the triangle with sides 5,8,10 is obtuse.

This will allow us to rule out choice F since we're looking for an acute triangle.

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

Now onto choice G.

This time the sides are: a = 6, b = 8, c = 10

a^2+b^2 = (6)^2 + (8)^2 = 100c^2 = (10)^2 = 100

Both results (a^2+b^2 and c^2) are the same at 100; so we see that a^2+b^2 = c^2.

Therefore we have a right triangle. We can rule out choice G.

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

Now onto choice H.

The triangle now has sides: a = 8, b = 10, c = 12

a^2+b^2 = (8)^2 + (10)^2 = 164c^2 = (12)^2 = 144

Since 164 > 144, we see that a^2+b^2 > c^2 is the case. Therefore the triangle with side lengths 8,10,12 is acute.

Choice H is the final answer.

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

For the sake of completeness, let's go over choice J.

a = 8, b = 10, c = 13a^2+b^2 = (8)^2 + (10)^2 = 164c^2 = (13)^2 = 169

We find 164 < 169 which leads to the scenario a^2+b^2 < c^2. The triangle for choice J is obtuse. We can rule out choice J.

You can use something like GeoGebra to help visually verify these results.

hey guys ! I need lots of explaining and help for these type of questions. I have a test tomorrow.. ( ;´Д`)

Answers

Answer:

Step-by-step explanation:

First you go up to your y intercept which in your case would be (0,4) and plot a point.

From there you add your slope. From the point (0,4) go down 2 and left 5 and plot a point there. You do that one p=more time from the new point and then you draw your line.

Hope this helps :)

Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they need to add four layers. Their teacher tells them they are both correct. Explain how this is possible

Answers

Chelsea wants to add one layer of 3 x 3 cubics and Stephen wants to add one layer of 3 x 6 cubics.

From given figure, the dimension of the rectangular prism are:

6 cm × 3 cm × 3 cm

The volume of the rectangular prism would be,

V = l × w × h

V =  6 × 3 × 3

V = 54 cm³

Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters.

Chelsea wants to add eight layers.

This means 72 = 8 × 3 × 3 cubics, then one layer in this case consists of 3 x 3 cubics;

Whereas Stephen says they only need to add four layers.

This means 72 = 4 × 3 × 6 cubics, then one layer in this case consists of 3 x 6 cubics.

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Find the complete question below.

A pool is being filled at the rate of 66 gallons per hour.

Fill in the table.

Answers

Answer:1/3=22, 1=66, 1.5=99

Step-by-step explanation:

this table shows the exact temperature at three different times in beltsville md one day last winter

Answers

The difference in temperature at 10 a.m. and 3:30 p.m. is -3.3 degree Fahrenheit

How to find the difference in temperature

When the time was 10 in the morning the temperature was 1.2 degrees Fahrenheit

When it was 3.30 in the afternoon, the temperature was - 2.1 degrees fahrenheit

The difference that would be in the temperatures that we have here would be:

-2.1 - 1.2

= -3.3 degrees fahrenheit

This tells us that there is a decrease in temperature in this time frame

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complete question

shows the exact temperatures at three different times in Beltsville, Md., one day last

3.30 p.m.

-2.1° F

Noon

10 a.m.

1.2° F

Time

Temperature

winter.

0° F

What is the difference between the temperatures at 10 a.m. and 3:30 p.m.? Indicate whether the

Which rule describes the transformation shown?

Answers

Note that the rule that describes the transformation shown is: (x,y) → (x+7,-y)(Number 2)

What is a transformation in Math?

A transformation is a broad phrase covering four distinct methods of changing the shape and/or location of a point, line, or geometric figure. The Pre-Image is the original shape of the item, and the Image is the final shape and location of the object after the transformation.

Thus, with regard to the transformation above,

At Point A: The original coordinate of point A was (-6,-6).

The coordinate after the transformation is A'(1,6), which eliminates option 3.

At Point B:

The original coordinate of point B was (-2,4).

After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. It is therefore right to state that (x,y) → (x+7,-y) is the correct representation of the transformation.

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Full Question:

The missing options are:

Which rule describes the transformation shown?

1. (x,y) → (-y, x+7)

2. (x,y) → (x+7,-y)

3. (x,y) → (-x, y+7)

4. (x,y) → (y+7, -x)

a pepsi bottle is dropped from a height of 60m. how fast is it going when it still has 1.2s left in its fall

Answers

The speed of the Pepsi bottle would be 78.4 m/s.

To calculate the speed of the Pepsi bottle when it has 1.2 seconds left in its fall, we would need to know the acceleration due to gravity. Assuming a standard gravitational acceleration of 9.8 m/s^2, we can use the following equation to calculate the speed:

Speed = (2 * acceleration * distance)^(1/2)

where distance is the distance fallen (60m)

Speed = (2 * 9.8 * 60)^(1/2) = 78.4 m/s

It is important to know that this is the final velocity at time of impact and doesn't account for the time of fall and air resistance.

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I need the answers to part B please

Answers

A) x²  - 2x - 13 in the form of (x + c)²  + d is (x - 1)²  - 15, and the value of

c = -1, d = -15

B) The solutions of the equation are 1+ √15 and 1- √15.

What is Quadratic equation?

A quadratic equation is a type of polynomial equation that has the general form of ax² + bx + c = 0, where x is the variable, a, b, and c are constants, and a is not equal to zero.

a) To write x²  - 2x - 13 in the form (x + c)²  + d, we can complete the square.

First, we add and subtract (2/2)²  = 1 to get:

x²  - 2x - 13 = x²  - 2x - 13 + 1 - 1

Next, we group the terms:

(x²  - 2x) - 14 = (x²  - 2x + 1) - 15

Now, we can see that the left side of the equation is a perfect square trinomial. To complete the square, we add the square of half of the coefficient of the x term, which is (1)² = 1 to both sides:

(x - 1)²  - 15 = 0

So, x² - 2x - 13 = (x - 1)²  - 15

c = -1, d = -15

b) Using the answer from part a, we know that x² - 2x - 13 = (x - 1)² - 15

=0

so (x-1)² = 15

x-1 = ± √15

x = 1 ± √15

The solutions of the equation are 1+ √15 and 1- √15.

In the form a = fg, where f and g are integers:

a = 1, f = 1, g = √15

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Write an expression for the number of laps each person swam. Let L represent the number of laps swum by Rita

Answers

The number of laps swum by Rita: L

The number of laps swum by John: 3L

The number of laps swum by Rodell: 3L + 25

What is algebra? Algebra is the branch of mathematics that studies the use of symbols, variables, and other mathematical objects to represent and analyze relationships between quantities. Algebra is used to solve many practical problems, such as how much a car costs after taxes, how much gas is needed to travel a certain distance, and how many items must be purchased to stay within a certain budget. Algebraic equations and inequalities can be solved through various techniques, such as substitution, elimination, and graphing. Algebraic equations can also be used to solve problems involving functions, which are equations that represent relationships between two or more variables. Algebraic functions can be used to predict future behavior of a system or to determine the best solution to a given problem.

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Kohl's is having a sale on Levi jeans for 1/3 off. Target is also having a sale on Levi jeans for 1/2 off. Who is having the better sale?

A) Kohl’s.

B) Target.

Answers

Answer:

Option B: Target.

Step-by-step explanation:

Kohl's sale

1/3 × 100= 33.3% off

While,

Target sale

1/2 × 100 = 50% off

Answer:

Target (option b/second option)

Step-by-step explanation:

We have to first convert the fraction rates into percentage rates. To change a fraction to a percentage, you can divide the numerator by the denominator then multiply the result by 100. Alternatively, you can multiply the numerator by 100 first then divide the result by the denominator of the fraction.

1/2 = 50%

1/3 = 33.33%

Now reviewing this data, we see that a 50% decrease of a price is more than a 33.33% decrease.

What is the probability of rolling a one on the first die and a four on the second die?

Write your answer as a fraction or a whole number. With fractions, use a slash (/) to

separate the numerator and denominator.

Submit

Work it out

Not feeling ready yet? These can help:

Answers

The probability of rolling a one on the first die and a four on the second die is 1/36.

This is because there are six possible outcomes for each die (1, 2, 3, 4, 5, and 6) and the probability of rolling a specific number on one die is 1/6. To find the probability of rolling a specific number on two dice, you would multiply the individual probabilities of each die (1/6 x 1/6 = 1/36). Since there is only one combination of rolling a one on the first die and a four on the second die, the probability is 1/36.

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A container has a capacity of 20 litres. It is filled with wine whose density is 0.8kg/litre. What is the mass of the wine? ​

Answers

The mass of the wine can be found by multiplying the density of the wine (0.8 kg/litre) by the volume of the wine (20 litres). The mass of the wine is 16 kg.

What makes for an excellent density example?

Its density is how much "stuff" can fit into a certain quantity of space. For instance, a block of the more resilient, lighter element gold (Au) will have a higher density than a block of the more substantial element lead (Pb) (Au). Styrofoam blocks are not as dense as bricks. Mass per unit volume serves as its definition.

We use the word "density" to indicate how much space (or "volume") an object or substance occupies in relation to the amount of matter contained therein (its mass). Density can also be defined as the quantity of mass per unit of volume.

mass = density x volume

mass = 0.8 kg/litre x 20 litres

mass = 16 kg

So, the mass of the wine is 16 kg.

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What is m<1
36°
70 degree
1 degree
m<1=

Answers

Answer: m<1 refers to the measure of an angle in a plane. The symbol < indicates that it is a smaller angle than a right angle which has a measure of 90 degrees. The value of m<1 is the measure of that angle in degrees.

36°, 70 degree and 1 degree are all measures of angles, but they are not necessarily the measure of m<1. Without any further context or information, it is not possible to say what m<1 is equal to.

Step-by-step explanation:

Write the equations described below.

A subtraction equation with one variable that has a solution of 2/3.

Answers

Answer:

x - 2/3 = 2/3

Answer: x-2/3=2/3

Step-by-step explanation:

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FILL THE BLANK Toward the development of the __________ of drug use, monkey and rats were given intravenous catheters for self-administration of morphine. Is y = 1 over 4 x 0.5 a power function? Explain your reasoning. Examine the following scales. The correct reading to all possible significant figures is: You invest $300 in an account that has a annual interest rate of 6%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded? A) 6. 7% and 16 times B) 1. 5% and 1 time C) 1. 5% and 16 times D) 6. 7% and 4 times Please Answer! $40$ is $120\%$ of what number? 1. refers to the colonization of Africa and Asia by western European nations, Russia, and Japan in the nineteenth century. At a local play, student tickets cost $5 each and adult tickets cost $11 each. if ticket sales were $3,000 for 300 tickets, how many students attended the play? a. 50 b. 150 c. 250d. 300 tetrarchy is a term introduced by the roman emperor diocletian that means? 2. fill in the exclusive and inclusive ranges for the following items. be sure to show your work below. high score low score inclusive range exclusive range 7 6 89 45 34 17 15 2 1 1 for each of the following scenarios identify the correct term. suppose you are a freshman in college and you have not declared a major. one reason you enrolled at your respective college was the school's vibrant social life. at the same time, you want to balance your academic life because you know that your grades will matter for graduate school or job applications. you decide to forgo partying for two hours to study for an upcoming economics exam. a. To make that decision you weighed your equity. Yc specialization. market failure. r su ca dy opportunity cost(s). on equilibrium. efficiency You start a part-time job as a package handler at a large delivery company. After training, you start your first shift and your supervisor tells you to unload packages from a single truck. Unfortunately, he tells 5 other people to do the same which causes most of you to stand around and wait for your co-workers to get out of the way. There are several other trucks already on the dock waiting to be unloaded. a sample of bacteria is collected from soil in a field that was recently treated with pesticides. the bacteria are classified, and a phylogeny is built to illustrate the soil bacteria diversity. what kinds of characteristics would be best for creating this phylogeny? if the company now purchases office equipment on account for $20,000, the accounting equation will change to: select one: a. assets liabilities stockholders' equity $260,000 A student's course grade is based on one midem that counts as 10% of his final grade, one class project that counts as 25% of his final grade, a set of homework assignments that counts as 50% of his final grade, and a final exam that counts as 15% of his final grade. His midterm score is 68, his project score is 95, his homework score is 93, and his final exam score 62. What his overall final score? What letter grade did he eam (A, C, D, or F) Assume that mean of 50 or above is an A, a mean least 80 but less than 90 is a B, and so on. The major tissue type that acts as "a gatekeeper" because it regulates the movement of materials in and out of certain body regions is ________ tissue. Which scenario exemplifies the production function of the value chain?Multiple Choicea) Reuben designs and executes an advertising campaign for his firms new product.b) Dorie is training new employees on the use of the companys new accounting system.c) Manuela, a customer service rep, is processing a return for an unhappy customer.d) Sally, a loan officer at Commercial bank, originates a home equity loan for a customer if protein x (lectin) speeds up cell division, why does it actually seem to have a negative effect on root growth in soybean plants What's the weirdest dream you've ever had his phylogenetic tree was constructed by comparing sequences for a homologous gene involved in development. Select the correct statement. SiI4 + Mg --->1pt : Type of Reaction 1pt : Balanced Equation 2pts : Correct Products A company reports the following in its balance sheet:Total assets of $800,000 and total liabilities of $700,000. Which of the following is true?a. Net income equals $100,000.b. Total expenses equal $1,500,000.c. Total revenues equal $1,500,000.d. Total stockholders equity equals $100,000.