Elijah and Jonathan play on the same soccer team. They have played 3 of their 15,
games. They each create a model to represent x, the number of games their team has left
to play. Their models are shown below. Explain whether each model is correct.

Who is correct

Elijah And Jonathan Play On The Same Soccer Team. They Have Played 3 Of Their 15,games. They Each Create

Answers

Answer 1

Answer:

Only Elijah's model is correct

Step-by-step explanation:

The data given in the question tells us they have 12 games left on their soccer team. Each one of them tried to simulate the fact by creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance. On the other side, he placed 15 cubes of value 1. He was obviously modeling the fact that 15 cubes (games due to play in our case) should be equal to 3 cubes (games already played) plus the x numbers left to play

This model if perfect, since the only way to equilibrate the balance is setting x to 12, the games left to play

Jonathan used a table with 3 x's in a row and a 15 in the second row, trying to model the same situation. To our interpretation, this table doesn't show the number of games left to play. If we equate 3x = 15, we get x=5 which has nothing to do with the situation explained in the question, so this model is not correct.

Answer 2

Elijah's model is correct .

Elijah and Jonathan play on the same soccer team. They have played 3 of their 15 games.  

x is the number of games that are left to be played.

Elijah and Jonathan have 12 games left on their soccer team.

Elijah  and Jonathan  both try to simulate the situation which are shown in figure.

Creating some model which look like a balance between quantities.

Elijah placed 3 cubes of value 1 and a cube of value x on one side of a balance.

On the other side Elijah placed 15 cubes.

The value of each cube = 1

so  15 [tex]\times 1 = 15[/tex] which are equal to total number of games.  

Since 3 games are already played so on the left hand side

3 boxes of magnitude 1 each are placed.

[tex]x[/tex] is the number of  games that are left.

Jonathan uses a table  with  three x values  in a row and a 15 is the total number of games to be played are represented in the second row trying to model the same situation.

This table doesn't show the number of games left to play.

Which are 12 in number

According to Jonathan's model

[tex]3x = 15 \\x =5[/tex]

This does not model the number of games left which are 12 in number and hence

Jonathan's model  does not explains the situation

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Related Questions

the dolphin dives 20 feet below the suface of the ocean. what is the elevation

Answers

Answer:

-20 feet

Reasoning:

When your going down when your talking about water the answer is negative.But when your going up the answer will be positive

Answer:

- 20 feet

Step-by-step explanation:

Its also negative because the dolphin is going not up if the dolphin did go up then it positive.

if fh is an angle bisector of triangle efg with

Answers

Answer:

Step-by-step explanation:

Simplify √5−√125+√25. Identify your result as rational or irrational.

Please list steps!

Answers


Simplify the radical by breaking the radicand up into a product of known factors.

Answer: √5−√130


Rewrite
25 as 5^2. √5−√125+√5^2

Pull terms out from under the radical, assuming positive real numbers.

√5−√125+5

Add 125 and 5 your answer is √5−√130

I’m so sorry if it’s wrong!

if m=5 and n=3, find the value of mn.

Answers

Answer:15

Step-by-step explanation:you multiply m=5 to n=3 so what is 5 times 3? so 5 times 3 = 15

Final answer:

When m=5 and n=3, the value of mn is found by multiplying the two numbers, resulting in mn=15.

Explanation:

To find the value of mn when m=5 and n=3, you simply need to multiply the two numbers together:

1. multiply m and n-

mn = m × n

2. m= 5 and n= 3, so the expression will be as follows-

mn = 5 × 3

3. Multiplying 5 and 3, the following is obtained-

mn = 15

Therefore, the value of mn is 15.

Solve x in the equation x12=17.

Answers

the solution for ( x ) in the equation [tex]\( x^{12} = 17 \)[/tex] is approximately [tex]\( x \approx 1.170092 \).[/tex]

To solve ( x ) in the equation [tex]\( x^{12} = 17 \),[/tex] follow these steps:

1. Take the 12th root of both sides.

2. Simplify the expression.

Step 1: Take the 12th root of both sides:

[tex]\[ x^{12} = 17 \][/tex]

[tex]\[ x = \sqrt[12]{17} \][/tex]

Step 2: Simplify the expression:

To find the 12th root of 17, you can use a calculator or approximation methods.

[tex]\[ x \approx \sqrt[12]{17} \][/tex]

Using a calculator or approximation methods, we find:

[tex]\[ x \approx 1.170092 \][/tex]

So, the solution for ( x ) in the equation [tex]\( x^{12} = 17 \)[/tex] is approximately [tex]\( x \approx 1.170092 \).[/tex]

A pair of shoes at Nordstrom‘s costs $120. The shoes are on sale for 15% off. You have a coupon that allows you to take an additional 10% off. How much will the shoes cost?

Answers

$120 with 25% taken off of it would be $90 !

How many significant figures does 120 have

Answers

Answer:

two  significant figures

Step-by-step explanation:

I bought three shirts that had equivalent retail values I use 15 gift certificate at the time of purchase and paid a total of 81 how much did each in dividual shirt cost

Answers

Answer:

Each shirt costed $27

each

Step-by-step explanation:

HOPE IT HELPS!!! please mark brainliest :)

If 15 people eats a quarter pound of turkey how much turkey is needed to feed everyone

Answers

Four 1/4's = 1 pound

So 4 people would eat 1 pound.

15 people / 4 = 3.75 pounds of turkey is needed.

3.75 is written as 3 3/4 using fractions

Check: 3.75 / 15 = 0.25 = 1/4

If Kristen got a 72% on her test that had 25 questions, how many questions did she answer correctly?

Answers

Answer: 18 question correct

Step-by-step explanation:

if she got 100% on the test:

100% x 25 question = 25 questions correct

so,

72% x 25 questions = 18 question correct

Kristen answered 18 questions correctly, 18/25 of them

I’ll put you as brainliest

Architects often create scale models before the actual building is constructed.
If a scale model has a length of 24 inches and a width of 36 inches, which dimensions are geometrically similar to the model building ?

Building A: 223 feet by 360 feet
Building C: 288 feet by 432 feet
Building D: 364 feet by 576 feet
Building B: 120 feet by 190 feet

Answers

Answer:

C

Step-by-step explanation:

432×24= 10368

288×36= 10368

Answer:

BUILDING C

Step-by-step explanation:

To find the answer, we need to find the scale factor. First, divide the given numbers (measurements). So 36/24. This gives us 1.5, our scale factor. Now, to find the correct measurements of the real building, divide the values. So for example, BUILDING C = 288 feet by 432 feet. Divide the two values. You get 432/288= 1.5 Therefore, this building matches our scale factor.

(1+tanx)/(sinx+cosx)=secx

Answers

[tex]\frac{1+\tan x}{\sin x+\cos x}=\sec x[/tex] is proved

Solution:

Given that,

[tex]\frac{1+\tan x}{\sin x+\cos x}=\sec x[/tex]  ------- (1)

First we will simplify the LHS and then compare it with RHS

[tex]\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}[/tex]  ------ (2)

[tex]\text {We know that } \tan x=\frac{\sin x}{\cos x}[/tex]

Substitute this in eqn (2)

[tex]=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}[/tex]

On simplification we get,

[tex]=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}[/tex]

[tex]=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}[/tex]

Cancelling the common terms (sinx + cosx)

[tex]=\frac{1}{c o s x}[/tex]

We know secant is inverse of cosine

[tex]=\sec x=R . H . S[/tex]

Thus L.H.S = R.H.S

[tex]\frac{1+\tan x}{\sin x+\cos x}=\sec x[/tex]

Hence proved

A speed of 220 feet per minute is equal to how many miles per hour​

Answers

Answer: 2.5 miles per hour

Step-by-step explanation:

this problem is all about conversions

220 ft per minute

first get it to hours, since there is 60 minute in an hour multiply by a factor of 60

220 ft per minute becomes 13200 ft per hour

then you need to covert from ft to mi, there are 5280 ft in 1 mi so divide by 5280

13200 ft per hour becomes 2.5 miles per hour

determine whether the ordered pair is a solution of the linear inequality

so basically I’ve been graphing linear equations and stuff, but like I don’t get what this means/how to do it

I don’t really need answers, but like an explanation cause I’m really lost

your help would be greatly appreciated and thank you soo muchhh

Answers

Step-by-step explanation:

So you solve the equation for x and then solve it for y. If the x and y match the given ordered pair then the answer is yes

solve the system of equations. (1 point)

x + 3y = −1
2x + 2y = 6

a
(−4, 1)

b
(2, −1)

c
(4, −1)

d
(5, −2)

Answers

Answer:

Answer (d):  (5, -2)

Step-by-step explanation:

Let's use the substitution method.  Eliminate "x" in the second equation.  Solving the first equation for x, we get  x = -3y - 1.  Subbing this for x in the second equation, we get:

2(-3y - 1) + 2y = 6, or, after multiplying as indicated,

-6y - 2 + 2y = 6.

Combining like terms,

-4y = 8, so that y = -2.  If y = -2, then x is found from x = -3y - 1 (see above):

x = -3(-2) -1 = 5

Then the solution is (5, -2)  (Answer d)

Company S Per Shirt Shipping
Cool Shirts $8.00 $13.00
Total Tees $7.50 $16.00
How many shirts
must be
purchased so that
the cost is the
same at both
companies?

Answers

Answer:

The number of shirts to be purchased for price to be same is 6 .

Step-by-step explanation:

Given as :

The price for cool shirt = $ 8

The shipping charge for cool shirt = $ 13

The price for Tees = $ 7.50

The shipping charge for Tees = $ 16

Now, Let The number of shirts = S

So , According to question

∵ price to be same for both companies

∴ $ 8 × S + $ 13 = $ 7.50 × S + $ 16

Or, $ 8 × S - $ 7.50 × S = $ 16 - $ 13

Or, 0.5 S = 3

∴ S = [tex]\frac{3}{0.5}[/tex]

I.e  S = 6

Hence The number of shirts to be purchased for price to be same is 6 . Answer

Graph the line with the y intercept 8 and slope -6

Answers

Answer:

This is answer

rise/run -6/1

y intercept : 8

Step-by-step explanation:

What is the value of X?

Answers

Answer:

a) x=4  b) x=17.5

Step-by-step explanation:

a)5x/2+1=11             b)2x/7-3=2

5x/2=11-1                    2x/7=2+3

5x/2= 10                     2x/7=5

5x= 10x2                    2x=35

5x=20                         x=35/2

x=20/5                        x=17.5

x=4

Answer:

a) x = 4b) x = 17.5

Step-by-step explanation:

[tex]a)\\\\\dfrac{5x}{2}+1=11\qquad\text{subtract 1 from both sides}\\\\\dfrac{5x}{2}+1-1=11-1\\\\\dfrac{5x}{2}=10\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{5x}{2\!\!\!\!\diagup_1}=(2)(10)\\\\5x=20\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{20}{5}\\\\\large\boxed{\boxed{x=4}}[/tex]

[tex]b)\\\\\dfrac{2x}{7}-3=2\qquad\text{add 3 to both sides}\\\\\dfrac{2x}{7}-3+3=2+3\\\\\dfrac{2x}{7}=5\\\\\dfrac{2x}{7}=\dfrac{5}{1}\qquad\text{cross multiply}\\\\(2x)(1)=(7)(5)\\\\2x=35\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{35}{2}\\\\\large\boxed{\boxed{x=17.5}}[/tex]

Charlie’s pizza charges $12 for a medium cheese pizza plus $2 for each additional topping. The cost of a medium pizza, y, with x toppings is represented by this equation:

y = 12 + 2x

Which graph represents this equation?

Answers

Answer:

Graph A is the correct answer.

explanation of the answer:

the line starts between 10 and 15 and continues to increase to the top of the graph.

Final answer:

The equation y = 12 + 2x represents the cost of a pizza given the number of additional toppings. The corresponding graph would be a straight line which starts at $12 on the y-axis (no toppings) and goes up by $2 on the y-axis for each increment of 1 on the x-axis (each additional topping).

Explanation:

The equation given in the problem, y = 12 + 2x, is a linear equation that represents the cost of a pizza with an increasing number of toppings.

In this equation, 'x' represents the number of additional toppings and 'y' represents the total cost of the pizza. The graph representing this equation would be a straight line that starts at $12 on the y-axis (representing the cost of a medium
pizza without any additional toppings).

Then, for each increment of 1 on the x-axis (representing adding one topping), the line goes up by $2 on the y-axis (representing the additional cost).

Learn more about Linear equation here:

https://brainly.com/question/32634451

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The least squares line of best fit for a data set with a positive correlation coefficient always has a:
A. positive slope.
B. positive x-intercept.
C. positive y-intercept.
D. Both A and C are correct.

Answers

Answer:

A. positive slope.

Step-by-step explanation:

In the least square linear regression of Y on X, the straight line of best fit is given by,

[tex]Y_{s} = \mu_{Y} + \rho \times \frac {\sigma_{Y}}{\sigma_{X}} \times (X - \mu_{X})[/tex] ------------------(1)

[where [tex]Y_{s}[/tex] is the estimated value of Y]

Clearly,  here,

Slope pf the line = [tex]\rho \times \frac {\sigma_{Y}}{\sigma_{X}}[/tex]---------------------------------(2)

Y- intercept = [tex]\mu_{Y} - \rho \times \mu_{X} \times \frac {\sigma_{Y}}{\sigma_{X}}[/tex]-----------------(3)

and,

X - intercept = [tex]\mu_{X} - \mu_{Y} \times \frac {\sigma_{X}}{\rho \times \sigma_{Y}}[/tex]----------------(4) [putting [tex]Y_{s} = 0[/tex] in (1) and taking the value of X]

So,

since [tex]\sigma_{Y}, \sigma_{X} > 0[/tex]

[since [tex]\sigma_{Y} = 0[/tex] or [tex]\sigma_{X} = 0[/tex] will result in a degenerate distribution, hence these cases are discarded]

so, correlation coefficient = [tex]\rho[/tex] > 0 implies

A. positive slope. [as evident from (1)]

clearly from (3) and (4) all the other options are false.

Final answer:

A least squares line of best fit with a positive correlation coefficient always has a positive slope, reflecting the positive relationship between the independent and dependent variables. The y-intercept can be positive or negative and is not determined by the correlation.

Explanation:

The question is asking about the characteristics of a least squares line of best fit when there is a positive correlation coefficient. A positive correlation coefficient means that as the value of the independent variable (x) increases, the value of the dependent variable (y) also increases. From this, it follows that the slope of the line ( he m term in the equation) is positive - reflecting the concept that the slope represents the relationship between two variables, with a positive slope indicating a positive relationship.

The y-intercept (the b term in the equation) could be positive or negative, as it represents where the line crosses the y-axis when x is 0, and this point doesn't affect the direction of the relationship between the variables, just the starting level of the dependent variable. Therefore, the correct answer to the question is simply A. positive slope, as this is the only feature guaranteed by a positive correlation coefficient.

what's 10x+4 greater than equal to -6

Answers

Answer:

x>=-1

Step-by-step explanation:

10x+4>=-6

10x>=-6-4

10x>=-10

x>=-10/10

x>=-1

Lobsters Each year, 183 million pounds of lobster are caught in
the United States and Canada. Twenty-five percent of this amount is
sold live. (Source: Lobster Institute at the University of Maine) How
many pounds of lobster are sold live each year in the United States and
Canada?
Firen
Source:

Answers

Answer:

The quantity of lobster which are sold live each year in the United States and  Canada are 46 million pounds (approximately).

Step-by-step explanation:

Given:

Each year, 183 million pounds of lobster are caught in  the United States and Canada. Twenty-five percent of this amount is  sold live.

Now, to find how  many pounds of lobster are sold live each year in the United States and  Canada.

According to question:

25% of 183 million pounds.

[tex]\frac{25}{100}\times 183[/tex]

[tex]=0.25\times 183[/tex]

[tex]=45.75[/tex]

Each year 45.75 million pounds of lobster are sold live in the United States and Canada.

Therefore, the quantity of lobster which are sold live each year in the United States and  Canada are 46 million pounds (approximately).

Two lines a and b are intersected by a transversal c prove that a//b, if
NEED IN 15 min am giving ABOUT 50 POINTS
ANY CHEATIN ANSWERS R BANNED!!
Pls help



Answers

Answer:

Because Alternate Interior angles are equal.

Step-by-step explanation:

STEP - I:

[tex]$ m \angle {5} = 3 . m \angle {\{3}\} $[/tex]

Reason:

This is the given data.

STEP - II:

It has multiplied and the reason is mentioned as well.

STEP - III:

[tex]$ m \angle{3} + m \angle{5} $[/tex] = 45° + 135° = 180°

Reason:

It has substituted the value of [tex]$ m\angle{5} $[/tex] from the previous step. The sum of [tex]$ m\angle{3} $[/tex] and [tex]$ m \angle{5} $[/tex] is 180°.

STEP - IV:

[tex]$ a \parallel b $[/tex]

Reason:

We calculated [tex]$ m\angle{5}[/tex] to be 135°.

Note that [tex]$ \angle {5} $[/tex] and [tex]$ \angle{6} $[/tex] are on the same line. That means their sum should be 180°.

i.e., [tex]$ m\angle{5} + m\angle{6} $[/tex] = 180°.

[tex]$ \implies $[/tex] 135° + [tex]$ m\angle{6} $[/tex] = 180°.

[tex]$ \implies m\angle{6} = $[/tex] 45°.

One of the ways to prove [tex]$ a \parallel b $[/tex] is to check if alternate interior angles are equal.

Here, [tex]$ m\angle{3} $[/tex] and [tex]$ m \angle {6} $[/tex] are alternate interior angles and they are equal.

[tex]$ \implies a \parallel b $[/tex].

please help with the question below!

Answers

Answer:

C

Step-by-step explanation:

If $500 is deducted for each 1,000 miles, and 10,000 miles are being driven per year, that is -$5,000 each year. Therefore your equation would be $23,000-$5,000y.

Find the ratio a:b, if 2a−b/6 = b/3

Answers

If 2a−b/6 = b/3, then ratio a:b = 3 : 2

Solution:

Given that 2a−b/6 = b/3

We have to find the ratio of a:b

In mathematics, a ratio indicates how many times one number contains another

A ratio between two or more quantities is a way of measuring their sizes compared to each other

let us first solve the given expression

[tex]\frac{2a -b}{6} = \frac{b}{3}[/tex]

On cross multiplication we get,

6a - 3b = 6b

6a = 6b + 3b

6a = 9b

[tex]a = \frac{9b}{6}\\\\\frac{a}{b} = \frac{3}{2}[/tex]

To convert a fraction to a ratio, first write down the numerator, or top number. Second, write a colon. Thirdly, write down the denominator, or bottom number

Therefore ratio a:b = 3 : 2

0 = -6t + 6t How many solutions does this equation have?

Answers

Answer:

there is an infinite amount of solutions

Step-by-step explanation:

negative 6t and positive 6t cancel each other out

plug in any number for t, and you will always get 0

Find three consecutive odd integers such that the sum of the first is two less than the second,and three more than the third is 70

Answers

Answer:

the three consecutive odd integers are 9, 11, and 13.

Step-by-step explanation:

Let's say that the first odd integer is x. The second consecutive odd integer would have to be x+2. (It would not be x+1  because that would result in an even integer. The sum of any two odd numbers is even.) The third consecutive odd integer would be (x+2) +2 or x+4.

The sum of the first, twice the second, and three times the third can be written as:

x+2(x+2)+3(x+4)

This equals 70. We can now distribute and solve for x:

x+2(x+2)+3(x+4)=70

x+2x+4+3x+12=70(distribute)

6x+16=70(combine like terms)

6x=54(subtract 16 from both sides)

x=9(divide by 9)

Thus, the three consecutive odd integers are 9, 11, and 13

hope this helps :)

Answer:

9,11 and 13

Step-by-step explanation:

X+(x+2)+(x+4)= ?

3x+6=  ?

70/2=35      35-2=33

3x+6=33

3x=27

x=9

9+22+39=70

© MP.1 Make Sense and Persevere
Meghan's vegetable garden is pictured
below. What is its area?

Answers

Answer: Need help with this too

Step-by-step explanation:

what is a linear equation that is parallel to the equation y=5x-4 and passes through the point (16,-12)​

Answers

Not sure if it's right but I tried:
(16,-12) assuming x=16,y=-12
y=5x-4
-12=5(16)-4
-12=240-4
-12=236
(Divide maybe?)
-12=236
236 divided 12= 19.6

Answer:

[tex]\displaystyle -5x + y = -92\:or\:y = 5x - 92[/tex]

Step-by-step explanation:

−12 = 5[16] + b

80

[tex]\displaystyle -92 = b \\ \\ y = 5x - 92[/tex]

If you want it in Standard Form:

y = 5x - 92

- 5x - 5x

__________

[tex]\displaystyle -5x + y = -92[/tex]

I am joyous to assist you anytime.

Based on Rudy’s baseball statistics,the probability that he will pitch a curveball is 1/4.if rudy throws 20 pitches,how many pitxhes most likely will be curveballs?

Answers

Answer:

5

Step-by-step explanation:

Expected value = probability × number of trials

X = 1/4 × 20

X = 5

Other Questions
If 3 apples and 1 orange costs $5 and I apple and Iorange costs $3. how much does each apple and orange cost?Equation 1:Equation 2:Solution: I'll give 100 points & a brainliest for whom ever can answer these properly. This is for a grade 11 semester research paper of 1000 words! Help with the research please, because I can't properly find it. For the facts try to keep a minimum of 3. Thanks for your help!!! Questions: Who founded Benthos? Why was he important? Facts?What are Polychaete worms? Facts?What are Bivalves? Facts?What are echinoderms? Facts?What are sea squirts? Facts?What are sea anemones? Facts? Automatic stabilizers create _____________ during recessions from things like increased government spending on welfare and unemployment insurance, and reduced tax revenues, and create ____________ during peak growth periods of the economy from things like reduced government welfare spending and increased tax revenues.a. Fiscal stimulus, fiscal contraction.b. Fiscal stimulus, fiscal stimulus.c. Fiscal contraction, fiscal stimulus.d. Fiscal contraction, fiscal contraction. 3.78 divided by 0.9 V.W. Ekman is credited with developing the theory of:A.sea floor spreadingB. global tectonicsC. wind-driven ocean currentsD. seismic profiling 1/9(-9x+18)-1/5(10+15x) According to the record of the registrar's office at a state university, 35% of the students arefreshman, 25% are sophomore, 16% are junior, and the rest are senior. Among the freshmen,sophomores, juniors, and seniors, the portion of students who live in the dormitory are,respectively, 80%, 60%, 30%, and 20%. What is the probability that a randomly selected studentis a freshman who lives in a dormitory?A) 0.28B) 0.32C) 0.52D) 0.38 Two castings are proposed for a study. One casting is a cube 10.16 cm (4 in.) on a side; the other is a rectangle 10.64 cm (16 in.) tall 10.16 cm (4 in.) wide 2.45 cm (1 in.) thick. Both are cast from the same metal at the same temperature, and the mold material is the same in both cases. If the cube-shaped casting solidifies in 14.5 min, how rapidly do we expect the rectangular casting to solidify? Which of the following is 4.15 * 106 in standard notation?A. 41.5000000B. 415,000C. 4,150,000D. 4.15000000 A person who is pliable, as Ophelia, is said to be usually:a.easily influencedb.extremely bravec.difficult to frighten Although Dr.Johnson believes that women and men can perform equally well on a math test, Dr.Johnson is exploring whether women perform worse on a math test when they are asked to indicate their gender prior to taking the text. Dr.Johnson is exploring the concept of "_______" A 275-mL flask contains pure helium at a pressure of 752 torr. A second flask with a volume of 475 mL contains pure argon at a pressure of 722 torr. If the two flasks are connected through a stopcock and the stopcock is opened, what is the partial pressure of each gas and the total pressure? In high school, Jordan studied Greek mythology. His class learned about gods, goddesses, and other divine figures prominent in the belief system, including Hades, Aphrodite, Zeus, and Hera. What type of religion is this?a. Pluralisticb. Animatec. Polytheisticd. syncretic The ribosome of the bacterium E. coli includes the ribosomal protein L4 (rpl4). The rpl4 gene carries the instructions for making rpl4 protein. Which of the following arguments provides support for the claim that E. coli has a common ancestor with all other organisms? Suppose that the speedometer of a truck is set to read the linear speed of the truck, but uses a device that actually measures the angular speed of the tires. If larger-diameter tires are mounted on the truck, will the reading on the speedometer be correct? If not, will the reading be greater than or less than the true linear speed of the truck? Why? And exercise 17th pause grapes cost 2.35 per pound oranges cause 0.99 per pound and apples cost 1.65 per pound. Running to the nearest whole number about how much did Adrian pay for all the fruit The height of Jake's window is 5x - 3 inches and the width is 3x + 2 inches. What is the perimeter of Jake's window ? For each of the following balanced chemical equations, calculate how many moles of product(s) would be produced if 0.500 mole of the first reactant were to react completely.A) CO29(g) + 4h2(g) = CH4 (g) + 2H2O(l)B) BaCl2 (aq) + 2AgANO3 (aq) = 2AgCl (s) + Ba(NO3)2 (aq)c) C3H8 (g) + 5O2 (g) = 4H2O (l) + 3CO2(g)d) 3H2SO4 (aq) + 2Fe (s) = Fe2(SO4)3 (aq) + 3H2 (g) The Smoot-Hawley Tariff Act was supposed to protect Americas businesses by raising taxes on imported goods. How did the tariff affect America? American businesses grew. Foreign countries retaliate and hurt American businesses. Americans responded by buying more foreign goods. Foreign countries were more willing to do business in America.brainly Given that ABCD is a rhombus, what is the value of x?(3x + 12