Step-by-step explanation:
215÷3=71
143÷6=23.9
71+23.9+60=154.9
7. The rectangle below is dilated by a scale factor of
3.6
to create a new rectangle. Which of the following
could be the dimensions of the new rectangle?
The new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a rectangle shown in the picture.
The width of the rectangle = 1 1/2 = 3/2 = 1.5 cm
The length of the rectangle = 4 cm
The rectangle is dilated by a scale factor of 3.6:
The new width of the rectangle = 1.5×3.6 = 5.4 cm
The new length of the rectangle = 4×3.6 = 14.4 cm
The dimension of the new rectangle = 14.4 cm ×5.4 cm
Thus, the new dimension of the rectangle is 14.4 cm ×5.4 cm option (A) is correct if the rectangle is dilated by a scale factor of 3.6.
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1) Alice decides to take a trip from the East Coast of the United States to the West Coast. While planning, she chooses to drive, fly, and ride a train. Her first leg of the trip is traveling by car, from Sacramento, California to Denver, Colorado. Along the way, she fills up her tank using regular unleaded gas, costing $4.65 per gallon, and premium gas, $4.95 per gallon. After driving for many hours, Alice finally makes it to Denver, Colorado spending $874.80 in gas.
a) Let r represent gallons of regular unleaded gas and let p represent gallons of premium gas. Create an equation that models the situation.
b) If Alice purchases 87 gallons for regular unleaded gas, how many gallons of premium gas did she purchase? Show all work to receive full credit.
2) After spending a week in Denver, Alice decides to leave her car at a friend’s house in order fly from Denver, Colorado to Chicago, Illinois. Her plane ticket cost $475 and $35 per checked bag.
a) Write a function that models the number of checked bags, b, as it relates to the total cost, c(b).
b) Compete the table
Number of Bags (b) Total Cost c(b)
0
1
2
3
4
6
8
3) After spending time in Chicago, Alice decides to finish her trip by riding a train 700 miles to Washington D.C. The train travels at an average speed of 80mph. Answer the following questions using the graph.
a) Describe the y-intercept in this scenario.
b) Describe the x-intercept in this scenario
c) Finish the ordered pairs (2.5, ____ ) and (____,300).
d) What are the domain and range?
Domain: {h I ___ < h < ____}
Range: {f(h) I ___ < f(h) < ____}
We see Alice chose a journey to travel from the East coast United States to the West Coast. She had a starting place and ending place in mind and did not aimlessly find her way from Sacramento, California to Washington D.C. But rather, she made decisions along the way to accomplish her goal. One could also say your life is like a journey or race in which you are running. 1 Corinthians 9:24-25 (NIV version) says, “Do you not know that in a race all the runners run, but only one gets the prize? Run in such a way as to get the prize. Everyone who competes in the games goes into strict training. They do it to get a crown that will not last, but we do it to get a crown that will last forever.” How do you interpret this passage in the bible and what does it look like in your life?
All Answers:
1a) The equation that models the situation is: 4.65r + 4.95p = 874.80
1b) Using the equation from part 1a, we know that 4.65r + 4.95p = 874.80. If we know that Alice purchased 87 gallons of regular unleaded gas, we can substitute that value into the equation: 4.65(87) + 4.95p = 874.80. Solving for p, we get: 4.65(87) + 4.95p = 874.80
4.0995 + 4.95p = 874.80
4.95p = 869.805
p = 175.6 gallons
2a) The function that models the number of checked bags, b, as it relates to the total cost, c(b), is: c(b) = 35b + 475.
2b) Number of Bags (b) Total Cost c(b)
0 475
1 510
2 545
3 580
4 615
6 675
8 835
3a) The y-intercept in this scenario represents the total distance travelled when the time spent on the trip is zero. As the distance traveled is 700 miles when time is zero, the y-intercept is (0,700)
3b) The x-intercept in this scenario represents the total time spent on the trip when the distance travelled is zero. As time is zero when the distance traveled is zero, the x-intercept is (0,0)
3c) (2.5, 200) (10, 300)
3d) The domain and range are based on the permissible values of time and distance travelled. Based on the information provided, the domain would be {h | 0 < h < 10} and the range would be {f(h) | 0 < f(h) < 700}
About the last part of the question, it is referring to the fact that life is like a journey, and we should strive to be like runners who run to win the prize, not just to participate. This passage encourages us to put in the hard work and dedication necessary to achieve our goals in life, and to not be satisfied with simply going through the motions. It also reminds us that our ultimate goal should be eternal reward, not temporary ones. In your life, it might mean setting a goal, making a plan, and putting in the effort to achieve it, but also keeping a perspective of what is important in the long run, not just in the short run.
I need help I don’t get it
Answer:
its 2:3 if im not wrong
Step-by-step explanation:
You start driving east for 14 miles, turn left, and drive north for another 6 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer: 15.2
Step-by-step explanation:
(14)^2 + (6)^2 = c^2
196 + 36 = c^2
232 = c^2
Square root both sides
15.231546 = c
15.2 ≈ c
The distance of the straight line from the starting point by the is is 15.2 miles.
What is the distance of a point from a line?The distance between a point and a line is the shortest distance between them.
Pythagoras TheoremIt states that if a triangle is right-angled (90 degrees), then the square of hypotenuse is equals to the sum of the squares of the other two sides.
Pythagoras Theorem EquationIf ΔOAB is a right angled triangle, right angle at A
then the Pythagoras equation will be
[tex]OB^{2} =AB^{2} +OA^{2}[/tex]
(where OB, OA and AB are the length of the sides of triangle OAB)
According to the question
We have to find ,the distance of straight line from the starting point.
From, the provided figure we can conclude that OB is the straight line whose distance to be find
In ΔOAB, we have
[tex]OB^{2} =OA^{2} +AB^{2}[/tex] (By Pythagoras theorem)
[tex]OB^{2} =14^{2} +6^{2}[/tex]
[tex]OB^{2} =196+36[/tex]
[tex]OB=\sqrt{232} \\OB= 15.23 miles[/tex]
[tex]OB=15.2 miles[/tex]
Hence, the distance of straight line from the starting point is 15.2 miles.
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A bottle of water is 2/3 full. You drink 1/2 of the water. find the portion of the bottle of water that you drink.
The area of a gym is 2,952 m2. If the width of the gym is 41 m, what is the length of the
gym?
Answer:
72m
Step-by-step explanation:
Given data
Area= 2,952 m^2
Width=41m
We know that
Area= Length*width
Substitute
2,952= Length*41
Length= 2,952/41
Length= 72m
Hence the width is 72m
Is 2 by 7 recccuring decimal or terminating decimal
Given:
The number is 2 by 7.
To find:
Whether 2 by 7 recurring decimal or terminating decimal.
Solution:
If all the prime factors of denominator value of a fraction is either 2 or 5 or both, then the fraction is terminating decimal.
If the prime factors of denominator value of a fraction is other than 2 or 5 , then the fraction is recurring decimal.
The given number is:
[tex]\dfrac{2}{7}[/tex].
The denominator value is 7 and prime factor of 7 is 7, which is different from 2 and 5.
Therefore, the number 2 by 7 is recurring decimal.
Suppose you choose a marble from a bag containing 2 red marbles, 2 white marbles and 6 blue marbles. You return the first marble to the bag and choose again. Find p (red then blue)
A.4/5
B.6/5
C.3/25
D.2/5
Answer:
3/25
Step-by-step explanation:
There are 10 marbles in the bag, all equally likely to be chosen.
P(red) = 2/10 = 1/5
P(blue) = 6/10 = 3/5
Multiply these (red then (and) blue) = 1/5 x 3/5 = 3/25
Which pair of lines appears to be perpendicular?
ОА.
+XI
B
John gains 5% by selling a book for 273. Find the cost price of the book
Answer:
$260
Step-by-step explanation:
$273 - 5% = $260
5% commission = $13
Answer:
260
Step-by-step explanation:
273-5%=260
Help ill give u brainliest when I can
Answer:
A)82
b)16807
c)10
d)625
Step-by-step explanation:
a: 3^4 or 81
b 7^5. 16807
c 10^2 or 100
d 5^7 78125
Triangle A and triangle B are drawn on the grid. Describe fully the single transformation which maps triangle A onto triangle B.
Answer:
Step-by-step explanation:
Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.
Sophia was going out to eat with some of her friends. The bill for the food
was $62. They wanted to leave a 20% tip. What was the total that Sophia
and her friends paid? Explain how you found your answer.
Answer:
$12.40
Step-by-step explanation:
You can set this up as .20 x 62 which will give you $12.4 or $12.40. You get .20 by converting 20% to a decimal. Also you can simply put 60-20% on a calculator.
The number of homeruns hit by each player on the Bobcats baseball team is listed below. Which measure of center best describes the approximate number of homeruns hit by a typical Bobcat player? 12, 8, 4, 3, 3, 2, 2, 2, 0
Write a rule to describe each reflection.
Rule:r() (x,y)=()
Who ever answers this question will get 25 points.
Answer: ok so if it is ok im sorry but like how is it like is there supposed to be a number? im sorryyy i thught i had it before i saw the picture
Step-by-step explanation:
if anybody knows the answer please help!!!
Answer:
C!
Step-by-step explanation:
Ive done a test about this type of math! Its easy just a few ears and notes!
Please help, will give brainliest, 5 star, and thanks!
Answer:
[tex]y\geq -2[/tex]
Step-by-step explanation:
Credit: Desmos
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.
What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.To learn more about arithmetic sequences refer to :
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The median is __________________ a value in a data set
A) never
B) always
C) sometimes
Consider a species that occupies a large, but fixed, number of islands. The distribution of the species across all islands is maintained by a balance between local extinctions and local colonization events. Devise a model for the relationship between the fraction of islands occupied by the species and time. Be clear to outline the assumptions you make and be sure to describe your key predictions
The most probable prediction( according to biogeography theory of islands) for this situation would be continued colonization of large species population( due to balance between immigration and extinction of species) through time on the island.
What is species?A species is a unit of biodiversity as well as the fundamental classification and taxonomic rank of an organism in biology.
Given:
Consider a species that occupies a large, but fixed, number of islands.
The distribution of the species across all islands is maintained by a balance between local extinctions and local colonization events.
According to island biogeography theory the population of an island is maintained constant through time when the immigration rate of new species to the island and extinction rate of species in the island is constant.
In a model for the relationship between the fraction of islands occupied by species and time, if the number of new species immigrating to the island will be equal to the number of species that become extinct in the island species population and will thrive continuously through time( will never become extinct) as the island species population will be maintained due to the existence of a dynamic equilibrium of species in the island.
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10.)The charge for electricity consumption, E,
is partly constant and partly varies as the
number N of units used. The charge for 163
units is N453.80 while the charge for 42 units
is #139.20.
a Calculate the charge per unit of
electricity.
b Obtain a formula for E in terms of N.
On solving the provided question, we can say that - the charge for 42 units = is $139.20; so, charge per unit is 139.20/42 = $3.3142857143
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
the charge for 42 units = is $139.20.
so, charge per unit is 139.20/42 = $3.3142857143
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please help no links please??
Answer:
5(3)² - 4
5x9-4
the answer is 41
Answer:
41
Step-by-step explanation:
5(9) - 4
45-4
41
PLEASE HELP IM LOST ILL GIVE BRAINLIEST
Answer:
c. The Median is 46, not 45
in is 26 miles into a 62-mile backpacking trip in the wilderness. Jin ca
ike 6 miles per day. How many more days does Jin need to finish?
Jin needs how many
more days.
Answer:6 days
Step-by-step explanation:
62-26=36
36/6=
6
A bag contains 2 snicker bars, 8 trix bars , and 5 crunch bars. A candy is chosen, replaced, then another is chosen, what is the probability of choosing a trix bar then a crunch bar?
The probability of choosing a trix bar then a crunch bar exists 8/45.
What is Probability?Mathematics' field of probability deals with numerical assessments of how likely an event is to occur.
Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
Probability = Number of favorable outcome / Number of total outcome
Given,
Number of snicker bars = 2
Number of trix bars = 8
Number of crunch bars = 5
Total number of candy bars = 2 + 8 + 5 = 15
8 trix, so picking a trix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.
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The probability of choosing a trix bar then a crunch bar exists 8/45.
What is Probability?Probability theory deals with numerical evaluations of the likelihood that an event will occur.
Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.
A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.
Probability = Number of favorable outcome / Number of total outcome
Given,
Number of snicker bars = 2
Number of trix bars = 8
Number of crunch bars = 5
Total number of candy bars = 2 + 8 + 5 = 15
8 trix, so picking a trix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.
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HELP DUE IN 10 MINS!
Solve for the value of x and find the length of the midsegment of the trapezoid below.
x =??
Answer:
x = 15Step-by-step explanation:
Midsegment of the trapezoid is half the sum of the bases:
4x + 5 = (2x + 15 + 4x + 25)/24x + 5 = 3x + 204x - 3x = 20 - 5x = 15AG= 2y-3= feet
BG= 6x-2.5= feet
is this a question or a answer
Can you please help with this question
In a word game, 1 letter is worth 1 point. This dot plot shows the scores for 20 common words. What is the first quartile (Q1)?
Answer:
5
Step-by-step explanation:
If 5 inches is added to both the length and the width of a rectangle, then the
perimeter is increased by -
Answer
the perimeter is increased by 5
Step-by-step explanation:
If 5 inches is added to both sides of the rectangle. Then the perimeter of the rectangle is increased by 20.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
If 5 inches is added to both the length and the width of a rectangle.
Then the new perimeter of the rectangle is given as,
P = 2[(L + 5) + (W + 5)]
P = 2[L + W + 10]
P = 2(L + W) + 20
If 5 inches is added to both sides of the rectangle. Then the perimeter of the rectangle is increased by 20.
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