Your supervisor has asked you to help build the raised platform for the food court. The base needs to be made of pairs of parallel lines. Select the parallel lines from the choices below.
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Remember that parallel lines are those lines that have equal slopes.
That is, the angle with respect to the horizontal axis is equal.
We observe that we have two pairs of parallel lines.
A vertical pair
A horizontal pair
Answer:
A vertical pair
A horizontal pair
See attached images.
Related Questions
The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline. How far can this car travel on 5 \dfrac125 2 1 5, start fraction, 1, divided by, 2, end fraction liters of gasoline?
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The car can travel 66 miles using 5.5 liters of gasoline
Explanation:
We are given that:
The expression 12*g is used to evaluate the number of miles the car can travel using g liters of gasoline.
Therefore:
miles = 12*g
Now, we are given that the liters of gasoline = 5[tex] \frac{1}{2} [/tex] = 5.5 liters.
To get the number of miles, all we have to do is substitute with the given liters in the above expression as follows:
miles = 12*g
miles = 12 * 5.5
miles = 66 miles
Hope this helps :)
Canada is the king of the doughnut world, as it has more doughnut shops per capita than any other country in the world. Tim Hortons, the most popular doughnut joint in Canada, had 3660 locations in Canada in 2015. If the population of Canada was approximately 35.75 million citizens in 2015, what was the number of Tim Hortons stores per capita in Canada in 2015?
Express your answer in scientific notation rounded correctly to three decimal places.
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Per capita means the number of schools per person. There are more people than stores, so the number must be lower than 1.
To find the rate, we divide the total number of stores by the population.
3660 / 35750000 = .0001024 = 1.024 x 10^-4
Answer:
Number of Tim Hortons stores per capita is [tex]1.024\times 10^{-4}[/tex]
Step-by-step explanation:
Canada is having more doughnut shops per capita than any other country in the world means availability of Horton's store per person are more.
Number of Hortons stores in Canada = 3660
Population of Canada in 2015 = 35.75 million
In scientific notation population = [tex]35.75\times 10^{6}[/tex]
Now stores per person = [tex]\frac{3660}{35.75\times 10^{6}}[/tex]
(To calculate stores per capita we will divide number of stores by population of Canada)
Stores per capita = [tex]102.377\times 10^{-6}=1.024\times 10^{-4}[/tex]
So the answer is [tex]1.024\times 10^{-4}[/tex]
what is the greatest amount of spinach she can buy
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Since she can't buy 1/3 of a spinach, the greatest amount she can buy is 9.
Hope this helps!
43 + (x -7) =90 find the value of x
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Subtract 36 (-43 +7) from each side
x = 54
43x - 301 = 90
+301 +301
43x = 391
43 43
x = 9.09 or 9
I hope this helps :)
What is x- and y- intercept of -7x + 2y= 14
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A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost per square inch?
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Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.
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Answer:
10inch
Step-by-step explanation:
How is the expression (3 + y) ⋅ 7 described by its factors and terms?
A: It has two factors and the factor (3 + y) has one term.
B: It has three factors and the factor (3 + y) has one term.
C: It has two factors and the factor (3 + y) has two terms.
D: It has three factors and the factor (3 + y) has two terms.
i will give you brainiest if right.
Answers
First of all, there are two factors in the problem. They are the 2 things being multiplied together. They are 7 and (3 + y).
Second, there are two terms in the factor (3 + y). Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
First of all, there are two factors in the problem.
They are the 2 things being multiplied together. They are 7 and
(3 + y).
What is the factors?A divisor of an integer n also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
Second, there are two terms in the factor (3 + y).
Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.
Therefore option C is correct.
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Can someone please factor this out for me and explain how you do it? 9x^2+30xy+25y^2
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Identify the question that is NOT statistical.
A)What is the maximum number of swimmers allowed on a swim team?
B)What were the times of the top five swimmers in the competition?
C)How many people attended on each of a three day competition?
D)How many tickets were purchased by each school for the competition?
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Answer:
A)What is the maximum number of swimmers allowed on a swim team?
Step-by-step explanation:
usatestprep
Mrs. Plesich has a 16 1/2 ounce bag of chocolate chips. She will only use 1/4 of the bag for decorating a cake . How many ounces will she use for the decorating.
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66/4 x 1/4 is 66/16
33/8
The answer is 33/8 ounces.
James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.
Answers
254 + 364 = 518
Which is total of 740 people.
The probability of being male is 0.3
46 + 254 = 300 that bring lunch
176 + 264 = 440 that buy their lunch
P(male | buy lunch ) = 0.4
Answer D
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = 0.3 and P(male) = 0.4.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We are given that,
P(buys lunch | male) = 0.3 (the probability that a male student buys lunch)
P(male) = 0.4 (the probability that a student is a male).
These values suggest that there is a dependence between the two events.
The probability of buying lunch at school may be different for males and females.
The conditional probability P (buys lunch | male) is not equal to the marginal probability P(buys lunch) if the events "male" and "buys lunch" are dependent.
To confirm this,
We would need to calculate the conditional probability
P(buys lunch | female) (the probability that a female student buys lunch).
If this probability is different from 0.3 (the probability for males), then the events "male" and "buys lunch" are dependent.
Therefore,
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = 0.3 and P(male) = 0.4.
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The table shows some ingredients in lasagna. If you make three times the recipe how many cups of cheese are needed. Can you please help me this is my homework for tomorrow
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168 students play at least one sport 35% of students at the school how many students are at the school
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Total number of students multiplied by % equals portion of students
x * 35%= 168
0.35x= 168
divide both sides by 0.35
x= 480
ANSWER: There are 480 students in the school.
Hope this helps! :)
What is 27006 ÷ 42???
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Meghan has a beginning balance of $750 in her checking account. She writes a check for $150 and has a debit transaction of $135. What is her new balance?
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heres my math
750-150-135=435
750-150
Than she has a debit transaction of 135, so you subtract
600-135 giving you 465
graph the linear equation find three points that solve the equation then plot on the graph -3y=-x-7
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[tex] - 3y = - x - 7 \\ y = \frac{1}{3} x + \frac{7}{3} [/tex]
[tex] \binom{ - 1}{2} \: \: \: \: \: \: \binom{2}{3} \: \: \: \: \: \: \binom{5}{4} [/tex]
this is the line
Answer: (-7,0) (2,3) (5,4)
Step-by-step explanation:
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We have m = 3, [tex]x_1 = 5[/tex], and [tex]y_1 = 10[/tex].
We plug in these values to get
[tex]y-10=3(x-5)[/tex].
We now rearrange to get this into slope-intercept form, [tex]y=mx+b[/tex], by solving for y.
[tex]y=3(x-5)+10\\y=3x-15[/tex]
y = 3x - 5
Explanation:
The equation of the line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept
We are given that the slope is 3. Therefore, the equation now is:
y = 3x + c
Now, we need to get the value of c. To do so, we will substitute with the given point (5,10) in the equation and solve for c as follows:
y = 3x + c
10 = 3(5) + c
10 = 15 + c
c = 10 - 15
c = -5
Based on the above, the equation of the line is:
y = 3x - 5
Hope this helps :)
15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 toddlers drink water with their lunch? (a) Draw a model for the situation (if you prefer to use a 100-grid model or ratio table model, that’s fine too!) and label the “part,” “whole,” and “percent.”
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To solve this problem, you can use the percent proportion. I set it up below and then solved it.
part/whole = percent/100
3/x = 15/100
Cross multiply and divide to solve.
15x = 300
x = 20
There are 20 toddlers in the class.
What is the rule of 5832,blank,648,216,72,blank,8
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What is the perimeter of AEB
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18.5 ft
Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft
Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft
Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft
Hope this helps :)
Answer:
18.5 ft
Step-by-step explanation:
Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft
Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft
Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft
Hope this helps :)
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You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?
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Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.
The rectangle has sides of length x and 32 - x.
The area of the rectangle is
A = LW
A = x(32 - x)
A = 32x - x^2
y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.
32x - x^2 = 0
(32 - x)x = 0
32 - x = 0 or x = 0
x = 32 or x = 0
Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.
At x = 16, you get maximum area.
Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.
Since all sides turned out to have length 16 ft, the rectangle is a square.
Answer: The maximum area is enclosed by a square with side 16 ft.
marta ha comprado una bicicleta que costaba 280 € pero le han hecho una rebaja del 15°/• cuanto ha pagado
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The original price was €280, but the price was discounted by 15%.
15% = 15/100 = 0.15.
15% of 280 is 0.15(280) = 42
This means the price was cut by €42.
280-42 = €238
How to do a fraction paper
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Which of the following points is a solution of y > |x| + 5?
(0,5)
(1, 7)
(7, 1)
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Let's put it into the inequality.
7 > |1| + 5
The absolute value of 1 is 1 because it is 1 away from zero. So:
7 > 1 + 5
1 + 5 is 6.
7 > 6
Hope this helps!
The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 192 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person.
Answer choices on picture.
Answers
Weight = 192 pounds
Radius of the earth = 3900 miles
Let's introduce the constant, k
192 = [tex] \frac{k}{3900 ^{2} } [/tex]
k = 192 * 3900²
k = 192 * 15,210,000
k = 2,290,320,000
Putting the constant k back into the equation, W = [tex] \frac{k}{d ^{2} } [/tex]
W = [tex] \frac{2,290,320,000}{d ^{2} } [/tex]
(OPTION D)
The distance the person is from the center of the earth: d
W=K/d^2
W=192 pounds, d=R: Radius of the earth=3900 miles
Replacing in the equation above:
192=K/3900^2
Solving for K:
192=K/15,210,000
192*15,210,000=K
2,920,320,000=K
K=2,920,320,000
Then the equation is:
W=K/d^2 and K=2,920,320,000
W=2,920,320,000/d^2
Answer: Option d. W=2,920,320,000/d^2
An airplane flying at an altitude of 31,000 feet when it begins its descent for landing. If the runway is 104 miles away, at what angle does the airplane descend?
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I need help on 4, 5 :)
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Coral created a painting that was 4 1/3 ft long and 1 1/3 ft wide.
What was the area of Coral's painting?
Express your answer in simplest form.
A.
ft²
B.
ft²
C.
ft²
D.
ft²
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Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.
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To start we can write the following two expressions for her expenses.
8.5 + 62.5m and 12 + 3.75m
Then, adding the two expressions together will give us a combined expression of: 10m + 20.5
Total amount of money Sabra spends on both clubs = 20.50 + 10m
Amount paid to join the cooking club = $8.50
Monthly payment at the cooking club = $6.25
Payment for m months at the cooking club = 6.25m
Total money paid at the cooking club = 8.50 + 6.25m
Amount paid to join the movie club = $12
Monthly payment at the movie club = $3.75
Payment for m months at the movie club = 3.75m
Total money paid at the movie club = 12 + 3.75m
Total amount of money Sabra spends on both clubs = Total money paid at the cooking club + Total money paid at the movie club
Total amount of money Sabra spends on both clubs = 8.50 + 6.25m + 12 + 3.75m
Total amount of money Sabra spends on both clubs = 20.50 + 10m
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