6/18
Write each ratio as a fraction in lowest terms

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

If you want to write the fraction in its lowest terms, all you have to do is simplify!! Simplifying is easy; all you have to do is divide on the top and bottom of the fraction by the same number.

So, to simplify 6/18, figure out what the highest number is that can go into both numbers in the fraction. For this problem, the highest number is 6.

6 divided by 6 is 1.

18 divided by 6 is 3.

The simplified answer comes out as 1/3...you can also check it by multiplying 1 and 3 by 6.

1 multiplied by 6 is 6.

3 multiplied by 6 is 18.

So, 6/18 in lowest terms is 1/3!!

I hope you understood...have a great day :)


Related Questions

2. Combine Like terms:
4a + 5-a + 2

Answers

Answer:

it is a anwser

Step-by-step explanation:

it’s 3a + 7 you’re welcome

or the circle below, find the equation that represents that circle.

or the circle below, find the equation that represents that circle.

Answers

The general form for the equation of a circle is given by:

\((x-x_0)^2+(y-y_0)^2=r^2...(1)\)

Where (x₀, y₀) are the coordinates of the center, and r is the radius. From the problem, we identify:

\(\begin{gathered} (x_0,y_0)=(1,0) \\ r=3 \end{gathered}\)

Finally, using (1):

\(\begin{gathered} (x-1)^2+(y-0)^2=3^2 \\ \\ \therefore(x-1)^2+y^2=9 \end{gathered}\)

let be an orthonormal basis of such that . let , and let , , be scalars such that . what is ?

Answers

The value of C3 is -1 (to two decimal places) in the given orthonormal basis B, where v = c1b1 + c2b2 + c3b3.

We know that v = c1b1 + c2b2 + c3b3, where v = [1, V2, -1] and B = (b1, b2, b3) is an orthonormal basis of R^3.

Therefore, we have:

c1b1 + c2b2 + c3b3 = [1, V2, -1]

Taking the dot product of both sides with b3, we get:

(c1b1 + c2b2 + c3b3) · b3 = [1, V2, -1] · b3

Since B is an orthonormal basis, we have:

b1 · b3 = 0

b2 · b3 = 0

b3 · b3 = 1

Therefore, the above equation simplifies to:

c3 = [1, V2, -1] · b3 = (1)(0) + (V2)(0) + (-1)(1) = -1

Hence, C3 = -1 (to two decimal places).

By using orthonormal basis, The value of C3 is equal to -1 (upto two decimal place).

To know more about orthonormal basis:

https://brainly.com/question/30218173

#SPJ4

_____The given question is incorrect, the correct question is given below:

Orthonormal basis Let B := (bi, b2, bz) be an orthonormal basis of R3 such that 1 b3 V2 -1 0 Let 1 v= and let C1, C2, C3 be scalars such that v = cibi + c2b2 + c3b3. What is C3 ? C3 = number (2 digits after decimal)

Solve: 8- (y + 3) = 11
y = 6
y = 3
y=0
y = -6​

Answers

Answer:

y = - 6

Step-by-step explanation:

Given

8 - (y + 3) = 11 ← distribute and simplify left side

8 - y - 3 = 11

5 - y = 11 ( subtract 5 from both sides )

- y = 6 ( multiply both sides by - 1 )

y = - 6

Let x represent the amount of yarn needed for each item.

Let x represent the amount of yarn needed for each item.

Answers

Answer:

The answer is c

Step-by-step explanation:

A programmed decision is a repetitive decision that can be handled by a routine approach. Indicate whether the statement is true or false.

Answers

True.The statement "A programmed decision is a repetitive decision that can be handled by a routine approach". Programmed decisions are typically made in response to recurring situations and can be addressed using established processes or guidelines, making the decision-making process more efficient.

A programmed decision refers to a decision that is repetitive and can be handled by a routine approach. These decisions are typically structured and well-defined, with established procedures or rules in place to guide the decision-making process. Programmed decisions are often based on predetermined criteria and do not require extensive analysis or evaluation. They can be automated and handled systematically, allowing for efficient and consistent decision-making in routine situations.

To know more about programmed decision, visit:

https://brainly.com/question/32080346

#SPJ11

If a cheetah travels 50 miles per day, how many feet per hour does the cheetah travel?


HELP FAST

Answers

26400 is what they travel in feet in a day divide that by 24 and that should be your answer

Write the expression as the logarithm of a single number or expression. Assume that all variables represent positive numbers. 3logx+4logy−2logz 3logx+4logy−2logz=

Answers

The expression 3logx+4logy−2logz` can be written as `log(x³y⁴/z²).

The given expression is:

3logx+4logy−2logz.

We are to write the expression as the logarithm of a single number or expression, and we assume that all variables represent positive numbers.

Expressing the given expression in the form of the logarithm of a single number or expression, we can do so by using the following rule:

logbM + logbN = logb(MN) (logarithmic product rule) and

logbM - logbN = logb(M/N) (logarithmic quotient rule)

Hence,

3logx + 4logy - 2logz

= logx³ + logy⁴ - logz²

= log(x³y⁴/z²)

Therefore, 3logx+4logy−2logz` can be written as `log(x³y⁴/z²).

Let us know more about logarithm : https://brainly.com/question/20785664.

#SPJ11

The difference between 8 forty-sevens and 7 forty-sevens.

Answers

Answer:

47

Step-by-step explanation:

No matter what number you do if there is one left then it's that number

So dif between 8 and 7 is 1

1*47 = 47

(6a⁴)³
reduse the equation to its simplest form​

Answers

Answer:

Step-by-step explanation:

Two properties used are: \((a*b)^{m} = a^{m}*b^{m}\\\)  and  \((a^{m})^{n}=a^{m*n}\)

\((6a^{4})^{3}=6^{3}*(a^{4})^{3} = 216a^{4*3} = 216a^{12}\)

The given curve is rotated about the y -axis. Find the area of the resulting surface x = va? - y?, O< y

Answers

The area of the surface generated by rotating the curve x = √(a^2 - y^2) about the y-axis is 2π a^2.

To find the area of the surface generated by rotating the given curve x = √(a^2 - y^2), where 0 < y < a, about the y-axis, we can use the formula for the surface area of a solid of revolution.

The surface area formula for rotating a curve about the y-axis is given by:

A = 2π ∫[a, b] x(y) √(1 + (dx/dy)^2) dy,

where x(y) represents the equation of the curve and dx/dy is the derivative of x with respect to y.

In this case, the equation of the curve is x = √(a^2 - y^2). Taking the derivative of x with respect to y, we have dx/dy = -y/√(a^2 - y^2).

Substituting these values into the surface area formula, we get:

A = 2π ∫[0, a] √(a^2 - y^2) √(1 + (y^2/(a^2 - y^2))) dy.

Simplifying the expression under the square root, we have:

A = 2π ∫[0, a] √(a^2 - y^2) √(a^2/(a^2 - y^2)) dy.

Canceling out the common terms, we get:

A = 2π ∫[0, a] a dy.

Integrating with respect to y, we have:

A = 2π a[y] evaluated from 0 to a.

Substituting the limits of integration, we get:

A = 2π a(a - 0) = 2π a^2.

Learn more about equation here:

https://brainly.com/question/649785

#SPJ11

A plane leaves at 11:22 a.m. and arrives at 3:13 p.m. How long was the flight?

A. 3 hours and 51 minutes long
B. 3 hours and 35 minutes long
C. 14 hours and 35 minutes long
D. 4 hours and 35 minutes long
E. 8 hours and 9 minutes long​

Answers

the answer would be A

Answer:

A. 3 hours and 51 mins long

Step-by-step explanation:

22-13= 9 min difference

11-3=4 but since there is a 9 min difference it would be 9 mins away from 4 hours so that why is it 3 hours and 51 minutes long

hope this wasnt confusing

The cumulative distribution function of continuous random variable X is given by F(x) = 0, x < 0 23,0 1 (a) Find P (0.1 < X < 0.6). (b) Find f(x), the probability density function of X. (c) Find X0.6, the 60th percentile of the distribution of X.

Answers

A. P(0.1 < X < 0.6) = F(0.6) - F(0.1) = 1 - 0.23 = 0.77.

B. the PDF of X is given by:

f(x) = 0 for x < 0

f(x) = 23 for 0 ≤ x < 1

f(x) = 0 for x ≥ 1

C. X0.6, the 60th percentile of the distribution of X, is equal to 1.

How did we get these values?

To answer these questions, use the given cumulative distribution function (CDF) and perform the necessary calculations.

(a) To find P(0.1 < X < 0.6), calculate the difference between the CDF values at those points. The CDF is defined as F(x):

P(0.1 < X < 0.6) = F(0.6) - F(0.1)

Since the CDF is given as a piecewise function, evaluate it at the specified points:

F(0.6) = 1

F(0.1) = 0.23

Therefore, P(0.1 < X < 0.6) = F(0.6) - F(0.1) = 1 - 0.23 = 0.77.

(b) To find the probability density function (PDF) f(x), we can differentiate the CDF. The PDF is the derivative of the CDF:

f(x) = d/dx [F(x)]

Differentiating each part of the piecewise CDF function:

For x < 0, f(x) = 0 (since F(x) is constant in this interval).

For 0 ≤ x < 1, f(x) = d/dx [23x] = 23.

For x ≥ 1, f(x) = 0 (since F(x) is constant in this interval).

Therefore, the PDF of X is given by:

f(x) = 0 for x < 0

f(x) = 23 for 0 ≤ x < 1

f(x) = 0 for x ≥ 1

(c) To find X0.6, the 60th percentile of the distribution of X, we need to find the value of x for which F(x) = 0.6. From the given CDF, we know that F(x) = 0.6 for x = 1. So X0.6 = 1.

Therefore, X0.6, the 60th percentile of the distribution of X, is equal to 1.

learn more about probability density function: https://brainly.com/question/30403935

#SPJ4

3x-4x-4-x+65=83x-8x+50

Answers

Answer:

\(x=\frac{1}{7}\)

Step-by-step explanation:

\(3x-4x-4-x+65=83x-8x+50\)

\(3x-4x-x-4+65=83x-8x+50\)

\(-2x-4+65=83x-8x+50\)

\(-2x+61=83x-8x+50\)

\(-2x+61=75x+50\)

\(-2x+61-61=75x+50-61\)

\(-2x=75x-11\)

\(-2x-75x=75x-11-75x\)

\(-77x=-11\)

\(\frac{-77x}{-77}=\frac{-11}{-77}\)

\(x=\frac{1}{7}\)

Answer:

x=1/7

Step-by-step explanation:

3x-4x-4-x+65=83x-8x+50

Solving the right side of equation we have;

83x-8x+50 = 75x +50

Solving the left side of the equation we have;

3x-4x-4-x+65= -2x +61

Equating left side and right side.

-2x +61= 75x +50

by grouping terms with x , we have :

-2x- 75x = -61+50

-77x= -11

x= -11/ -77 = 1/7

the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.

Answers

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Find the value of x with the other angles of 33 and 99

Answers

Answer:

48°

Step-by-step explanation:

33+ 99= 132

180 is the sum of all angles so u would subtract 132 from 180 giving you the answer

Answer:

If x is the last angle of a triangle, x=48. is its a just angles its, x=228.

Step-by-step explanation:

If it's a triangle its because triangle sum theorem states that all angles in a triangle add up to 180 degrees. So add the angles you know an subtract it from 180.

If it's just angels then you just need to again, add the angles you know but this time subtract it from 360 as that's he most degrees an angle can go.

Can I still use this say yes or no and and use the hearts so I can know if I can the white thing Brooke off

Can I still use this say yes or no and and use the hearts so I can know if I can the white thing Brooke

Answers

Answer:

you can but dont touch anything inside i did when i was a kid and electrocuted myself.

Step-by-step explanation:

careful. i dont recomend using it though

Answer:

that happed to me i still use the outlet sometime but i wouldn't take any chances

Step-by-step explanation:

a company orders 29 boxed lunches from a deli for $339.30. assume each boxed lunch is the same price. if c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.

Answers

Answer:

11.7b

Step-by-step explanation:

If you do 339.30 divided by 29 it equals 11.7 but the full equation would be c=11.7b

The proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:

c = (339.30 / 29) * b

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

Let's assume that each boxed lunch costs the same amount, denoted by the variable 'x'.

We are given that the company ordered 29 boxed lunches for a total cost of $339.30. Therefore, we can write the equation:

29x = 339.30

To find the cost 'c' for any number 'b' of boxed lunches, we can set up a proportion:

29x / 29 = 339.30 / b

Simplifying this equation, we get:

x = 339.30 / 29

Now, we can substitute this value of 'x' back into the equation:

c = bx = b * (339.30 / 29)

Therefore, the proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:

c = (339.30 / 29) * b

To learn more about the proportion visit:

brainly.com/question/870035

#SPJ4

Which interval contains 11 states? Check all that apply. 0 to 3 3 to 6 6 to 9 9 to 12 12 to 15 15 to 18 18 to 21

Answers

The intervals that contain 11 states, are given as follows:

3 to 6.6 to 9.

What is shown by the bar graph?

The bar graph presented by the image shown at the end of the answer shows the number of states present in each interval.

The features of the graph are given as follows:

Horizontal axis: interval.Vertical axis: number of states in each interval.

Then the number of states for each interval are given as follows:

0 to 3: 16 states.3 to 6: 11 states.6 to 9: 11 states.9 to 12: 3 states.12 to 15: 3 states.15 to 18: 3 states.18 to 21: 4 states.

Hence the intervals 3 to 6 and 6 to 9 are the intervals that contain 11 states, being the correct answers to this problem.

Missing Information

The bar graph is given by the image shown at the end of the answer.

More can be learned about bar graphs at https://brainly.com/question/24741444

#SPJ1

Which interval contains 11 states? Check all that apply. 0 to 3 3 to 6 6 to 9 9 to 12 12 to 15 15 to

last week of school, please help x
question:
What type of association does the graph show between x and y?

answers:

A. Linear positive association

B. Nonlinear positive association

C. Linear negative association

D. Nonlinear negative association

last week of school, please help xquestion: What type of association does the graph show between x and

Answers

Answer:

linear positive association is the answer

The association between x and y is linear negative association as the pints are decending in a straight line (c)

Elena drank 3 liters of water yesterday. Jada drank 3/4 time as much water as Elena

Did jada drink more or less than water than elena

Answers

Answer:more cuz it says 3/4 much more

Step-by-step explanation:

What is the sum of -7 and its additive inverse?

Answers

Answer:

The sum of a number and its additive inverse is equal to 0.

Step-by-step explanation:

Help me please >:] Angles suck

Help me please &gt;:] Angles suck

Answers

(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

Which ratio is the odd one out?
6:24
4:16
1:4
3:12
8:31

Answers

Answer:

8:31

Step-by-step explanation:

all of them are equal with 1:4 except 8:31

helpp!! Your friend says the sum of 1/5 and 9/10 is 10/15. is your friend correct?

Answers

Answer:

False.

Step-by-step explanation:

First, find a common denominator between 1/5 and 9/10. Both share a common denominator of 10. Note that what you do to the denominator, you must do to the numerator:

\(\frac{1}{5} * \frac{2}{2} = \frac{2}{10}\)

Add 2/10 with 9/10:

\(\frac{2}{10} + \frac{9}{10} = \frac{11}{10}\)

It is noteworthy that the sum of the two fractions is already greater than 1, and therefore cannot be equal to 10 parts of 15 whole. However, if you were to continue and finish the steps to find the same denominator, you will obtain:

\(\frac{11}{10} * \frac{3}{3} = \frac{33}{30}\\ \frac{10}{15} * \frac{2}{2} = \frac{20}{30} \\\\\frac{33}{30} \neq \frac{20}{30} \therefore \frac{11}{10} \neq \frac{10}{15}\)

Your friend is not correct.

Learn more about finding common denominators, here:

https://brainly.com/question/29775115

Learn more about finding the sum of fractions, here:

https://brainly.com/question/14503941

Determine the base-five representation a) 214 b) 62 c) 8 d) 95 a) 214=

Answers

a) 214 in base-five is 1324.

b) 62 in base-five is 222.

c) 8 in base-five is 13.

d) 95 in base-five is 340.

How   is this so?

a) To determine the base five representation of 214, we need to   find the largest power of five that  is less than or equal to  214.

In this case, 125 (5³) is the largest power of five   that is less than 214.

Now, we divide 214 by 125 -  

214 ÷ 125 = 1 remainder 89

Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -  

89 ÷ 25 = 3 remainder 14

Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -  

14 ÷ 5 = 2 remainder 4

Therefore, the base-five representation of 214 is 1324 in base-five.

b) Following the same steps as above -  

62 ÷ 25 = 2 remainder 12

12 ÷ 5 = 2 remainder 2

Hence,  the base-five representation of 62 is 222 in base-five.

c) 8 ÷ 5 = 1 remainder 3

this menas that  the base-five representation of 8 is 13 in base-five.

d) Following the same steps as above -  

95 ÷ 125 = 0 remainder 95

95 ÷ 25 = 3 remainder 20

20 ÷ 5 = 4 remainder 0

Hence, the base-five representation of 95 is 340 in base-five.

Learn more about base 5:
https://brainly.com/question/29100985
#SPJ4

The point $(p,9)$ lies on line $k$ shown here. What is the value of $p$?

The point $(p,9)$ lies on line $k$ shown here. What is the value of $p$?

Answers

Answer:

(10,9) P=10

Step-by-step explanation:

find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3

y=2/3x+b

find b:

3=2/3(1)+b

b=3-2/3

b=7/3

now we find P

(p,9) input the y in the equation

y=2/3 x+7/3

9=2/3x+7/3

9-7/3=2/3x

x=10

Kadeesha invested
$
900
$900 in an account that pays 1.5% interest compounded annually. Assuming no deposits or withdrawals are made, find how much money Kadeesha would have in the account 11 years after her initial investment. Round to the nearest tenth (if necessary).

Answers

The amount of money Kadeesha have in her account after 11 years is $1059.3.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)

Given that, principal=$900, rate of interest=1.5% and time period =11 years.

Now, amount =900(1+1.5/100)¹¹

= 900(1+0.015)¹¹

= 900(1.015)¹¹

= 900×1.177

= $1059.3

Therefore, the amount of money Kadeesha have in her account after 11 years is $1059.3.

To learn more about the compound interest visit:

https://brainly.com/question/14295570.

#SPJ2

What are the measures of angles b and d? ∠b = 55°; ∠d = 55° ∠b = 55°; ∠d = 125° ∠b = 97°; ∠d = 97° ∠b = 83°; ∠d = 97°

Answers

In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).

We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of  parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.

angle B = angle D

2n + 15 = 3n - 15

n = 30

The value of n is 30.

Now we can find the measures of angles B and D:

angle B = 2n + 15 = 2(30) + 15 = 75 degrees

angle D = 3n - 15 = 3(30) - 15 = 75 degrees

Therefore, the answer is (a) ∠b = 55°; ∠d = 55

To know more about parallelogram :

https://brainly.com/question/16578666

#SPJ4

____The given question is incomplete, the complete question is given below:

In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°

Answer:

The Answer is A

Step-by-step explanation:

I just took the test! 2023Edg

Three coffees and two muffins cost a total of 7 dollars.
Two coffees and lour muffins cost 8 dollars. What is the
individual price for a single coffee and a single muffin?

Answers

My brain is going to explode
Other Questions
9. which example shows the exercise of implied powers by congress based on the elastic clause? a. approving changes to income tax rates b. creating a national bank to hold federal funds c. voting on annual appropriations for the u.s. navy d. passing legislation affecting the u.s. postal service HELP ME HELP HELPPPPPPPP in an unweathered sample of igneous rock, the ratio of an unstable parent isotope to its stable daughter isotope is 1:15. if no daughters were present at the time the rock cooled below closure temperature, and the half-life of the isotope is 50 million years, how old is the rock? group of answer choices 1 billion years 750 million years 200 million years 400 million years I will defeat you yelled the man Why is figuring out how to start one of the hardest parts of writing ? if i have 10,000 and spent some and only have 1567 left how much did i spent the reaction between aqueous strontium chloride (srcl2) and aqueous potassium sulfate (k2so4) forms a precipitate of strontium sulfate (srso4). which of the following represents the net ionic equation for the reaction? Why can you eliminate the solution of -0.2 in the context of this problem? Check all that apply. the height of the ball must be positive it does not make sense for tike to he negative. the ball cannot hit the ground before it is thrown. The function y = f (x) is graphed below. What is the average rate of change of the function f (x) on the interval -7 x 6? Which of the following is a type of tax paid straight to the federal government?O Income taxSales taxO Property taxRegressive tax Can someone please help me I dont understand it please help!!!! What figurative language is used in theseus and the minotaur. labtable b:eyedrop of blue water in cold watertable c:eyedrop of red water in hot watertable d:see how temperature changes on white + black paper with light shining on themplz helpbrainliest for 1st correct answer Help please!! Gshwbdhsbdusvzvshbehd What does the author want readers to understandabout popularity and bullying? Measure the length and width of a rectangular room in your house/apartment in feet. Determine the area of the room in square feet. Convert the area to both square inches and square yards. Explain how you made these conversions. When would you want to have the area in square feet? Square inches? Square yards?Then measure the height of the room in feet. Calculate the volume of the room in cubic feet. Convert the volume to both cubic inches and cubic yards. Explain how you made these conversions. When would you want to have the area in cubic feet? Cubic inches? Cubic yards? You are in work and a group of coworkers are complaining about a project deadline. Which of the following is not an example of avoiding negativity?-complain along with your co-workers-see the positive side of the situation -stay away from the gossip be part of the solution Each of the following sentences needs either a comma or a semicolon. Put in the necessary punctuation. 1. Many companies make sugar-free soft drinks, which are flavored by synthetic chemicals the drinks usually contain only one or two calories per serving. 2. Mr. Leyland played the viola professionally for many years and he now conducts a community orchestra. 3. The crab grass was flourishing but the rest of the lawn, unfortunately, was dying. 4. The hill was covered with wildflowers it was a beautiful sight. 5. As I turned around, I heard a loud thump for the cat had upset the goldfish bowl. 6. The artist preferred to paint in oils he did not like watercolors. 7. The house was clean, the table set, and the porch light on everything was ready for the guests' arrival. 8. He looked carefully in the underbrush but he failed to notice the pair of green eyes staring at him. 9. The foundations of the house had been poured but, to his disappointment, nothing else had been done because of the carpenters' strike. 10. The computer could perform millions of operations in a split second however, it could not think spontaneously. 11. I thought registration day would be tiring but I didn't know I'd have to stand in so many lines. 12. The dog, growling and snarling, snapped at me I was so frightened that I ran. 13. The snowstorm dumped twelve inches of snow on the interstate subsequently, the state police closed the road. 14. Professors are supposed to be absent-minded and I've seen plenty of evidence to support that claim since I've been in college. 15. The suspect said that he had never met the victim however, the detective knew that he was lying. 16. In the first place, it was snowing too hard to see the road in the second place, we had no chains. 17. I have read Soul on Ice but I have not read The Invisible Man. 18. San Francisco is my favorite city in fact, I plan to spend two weeks there this summer. 19. The quarterback made a brilliant pass and the end crossed the goal line for the winning touchdown. 20. Large supermarkets fascinate me I can find everything from frozen chow mein to soybean flour in one place. 21. Ron and Mike were both in English class this morning they gave an interesting presentation on their research. 22. The obstacles are not insurmountable but they are real and formidable. 23. Riding a bicycle is excellent exercise I ride mine every day. 24. I am not interested in a trip to Asia this year however, I would like to go to Europe. 25. Not all highly educated people enjoy traveling, but many world travelers are particularly well educated. 26. Jack worked overtime to pay off his education debts at least, that was his explanation for his long hours. 27. Katherine has given up smoking about five times but she cannot seem to break the habit. 28. His work may be almost totally forgotten but he would certainly be surprised to see how much current scholarship simply echoes his ideas. 29. Our dog seems to have a built-in alarm clock he wakes us up at exactly the same time every morning. 30. The passengers on the plane were initially alarmed by the loss of altitude but the pilot and the crew kept them calm. 31. I realized at once that something was wrong I was not, however, the only person who was concerned. 32. I had to complete the assignment by Friday otherwise, I would have failed the course. 33. Ralph decided to be a chemist but he changed his mind after taking Chem. 121. 34. I finished reading The Nation and then I went to bed. 35. We always go to the mountains in the fall they are at their prettiest at that time of year. 36. Tim went to the candy store quite often the clerk even knew his name. 37. Criticism of capitalist expansionism does not surface in most discussions of the worldwide ecological crisis indeed, proposed solutions rarely deviate from a basic message of further technological "progress." 38. The president has pledged to cut taxes repeatedly and the public has responded enthusiastically. 39. The office was closed consequently, I could not pay my bill. 40. The air was beautifully clear it was a lovely day. The Lions basketball team uses a rating system to rank players. They value each free throw for 1 point and each 3-pointer for 3 points. John eamed 100 points the day that he shot atotal of 60 tree throws and 3 pointers combined Letx equal tree throws and y equal 3-pointers. How many of each shot did he make? Consider a single muscle cell (muscle fiber); which of thefollowing would NOT have an effect on the amount of tensionproduced?Question options:Location of neuromuscular junctionThe fibe