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Julia loves collecting baskets. Every month she adds two new baskets to her collection. In the month of March she has 60 baskets. She’s worried she will soon run out of room in her apartment to keep her baskets. Write an equation that represents the percent of change of her basket collection from the beginning of the year to the end of the year, then solve.
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The linear function that represents the amount of baskets in the xth month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
Linear Function:-
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is of : m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the amount of baskets that she will have is of:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
Answer:
Step-by-step explanation: The linear function that represents the number of baskets in the month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is: m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the number of baskets that she will have is:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
What is the answer to this?helppp
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Answer: 6
Step-by-step explanation:
divde 5 by 2 them multiply your exponet
Answer:8/125
Step-by-step explanation:
PLEASE I NEED HELP ASAP!!!
SHOW ME HOW YOU GOT YOUR ANSWER
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A bus travels at a constant speed from point A to point B, which are 600 km apart. Some time later, a motorcyclist begins the trip from A to B, traveling at 100 km/h. The motorcyclist overtakes the bus at 150 km from A, and continues on to point B. The motorcyclist arrives at B, rests for 1 hour, and begins the return trip to A, crossing paths with the bus. When the bus arrives at B, the motorcyclist is 200 km from B. How far from B did the motorcycle and bus meet the second time?
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Step-by-step explanation:
the motorcyclist starts x hours after the bus.
it takes the motorcyclist 1.5 hours to meet the bus the first time, 6 hours to reach B, rest 1 hour and go another 2 hours before the bus arrives at B.
so, the bus needs
x + 9 hours to reach B.
x + 1.5 hours for 150 km (for the first meeting with the motorcyclist).
the speed of the bus is 600/(x + 9) km/h or 150/(x + 1.5) km/h.
so,
600/(x + 9) = 150/(x + 1.5)
4/(x + 9) = 1/(x + 1.5)
4(x + 1.5)/(x + 9) = 1
4(x + 1.5) = x + 9
4x + 6 = x + 9
3x + 6 = 9
3x = 3
x = 1
the motorcyclist starts 1 hour after the bus.
the speed of the bus is
600/(x + 9) = 600/(1 + 9) = 600/10 = 60 km/h
when the motorcyclist is starting its return trip, he is 7 hours after his start, and the bus is 7+x = 7+1 = 8 hours after its start, that means at
8×60 = 480 km of its total trip of 600 km.
120 km are still left for the bus to go.
from that point on both travel the same time y going with their speeds until they meet the second time.
the motorcyclist travels 100y km building up distance from B, while the bus travels 60y km reducing the 120 km distance from B.
when they meet the second time, the distance from B for the motorcyclist is the same as the remaining distance for the bus.
so,
100y = 120 - 60y
160y = 120
y = 120/160 = 3/4 = 0.75 hours
so, they meet at
100 × 0.75 = 75 km from B.
1 x 7 - 13 x 56 divided by 7 -5 x 500 is what?
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Answer: -2597
Step-by-step explanation: First, you multiply 1 x 7 to get 7, then subtract 13 from that, and multiply that by 56. Then you find what 7 -5 x 500 is, and divide it by the first part you got, to ger -2597. I'm sorry If I'm wrong .
Answer:
-2597
Step-by-step explanation:
Using PEMDAS, M would be multiplying so you you multiy 1x7 then times 56 then S is for subtraction so then you subtract 13, save that first set (1x7-13x56) to the side and now lets do the other set (7-5x500) first you would multiply it by the 500 and you get 3,500 then subtract it now get your two answers and divide it, then youll get -2597
pleace is math of 8th
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Answer:
The length of 83,800,000 in scientific notation is 8.38 x 10^7
Answer: 838 x 10^5
Step-by-step explanation: We first have to focus on the Zambezi which is 83,800,000 there are 5 zeros, but we have three options 8.38 x 10^7, 83.8 x 10^6, and finally 838 x 10^5, but scientific notation includes no decimals so it is 838 x 10^5.
7-4x=2+x+6-5x how many solutions
Answers
Answer:
Step-by-step explanation:
There is one solution to the equation 7-4x=2+x+6-5x. Solving for x gives x = 1, so there is only one solution.
Evaluate.
[tex]3 \frac{1}{5}-(-\frac{7}{2})+(-1)[/tex]
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Answer:
57/10 or 5 7/10
Step-by-step explanation:
Simplify the following:
3 + 1/5 + 7/2 - 1
Put 3 + 1/5 + 7/2 - 1 over the common denominator 10. 3 + 1/5 + 7/2 - 1 = (10×3)/10 + 2/10 + (5×7)/10 - 10/10:
(10×3)/10 + 2/10 + (5×7)/10 - 10/10
10×3 = 30:
30/10 + 2/10 + (5×7)/10 - 10/10
5×7 = 35:
30/10 + 2/10 + 35/10 - 10/10
30/10 + 2/10 + 35/10 - 10/10 = (30 + 2 + 35 - 10)/10:
(30 + 2 + 35 - 10)/10
| 3 | 5
| 3 | 0
+ | | 2
| 6 | 7:
(67 - 10)/10
| 6 | 7
- | 1 | 0
| 5 | 7:
Answer: 57/10 or 5 7/10
Consider the numbers 13, 16, 27, and 41. a. Which of these numbers are a prime? How do you know? b. Which of these numbers are composite. How do you know? (NEED AN ANSWER ASAP!)
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The composite numbers are 16 and 27 because 16 has more than two factors and 27 has also has more than two factors. Hope this helps have a good day!
Divide. Express each answer as a decimal. In the space below, be sure to label your answers a, b, c, d.
a. 54
b. 45
c. 3012
d. 1230
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Answer: this might be wrong
c
Step-by-step explanation:
Sorry if this is wrong
Answer: c
Step-by-step explanation:
What is the vertical distance between point A(−1.5,1.25) and point B(−1.5,−0.75) ?
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Answer:
Step-by-step explanation:
Input Data :
Point 1
(
x
A
,
y
A
)
= (-1.5, 1.25)
Point 2
(
x
B
,
y
B
)
= (-1.5, -0.75)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2
Solution :
Distance between two points =
√
(
−
1.5
−
−
1.5
)
2
+
(
−
0.75
−
1.25
)
2
=
√
0
2
+
(
−
2
)
2
=
√
0
+
4
=
√
4
= 2
Distance between points (-1.5, 1.25) and (-1.5, -0.75) is 2
The vertical distance between the points A and B are D = 2 units
What is the distance between two points?Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )
The distance from A to B is the same as the distance from B to A
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
This formula is used to find the distance between any two points on a coordinate plane or x-y plane
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be A ( -1.5 , 1.25 )
Let the second point be B ( -1.5 , -0.75 )
The distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
And , the vertical distance between A and B = |y-coordinate of A - y-coordinate of B|
So , the value of D = |1.25 - (-0.75)|
D = 2 units
Hence , the vertical distance is D = 2 units
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9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
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Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
Please help 15 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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100
35/42 is about 83 percent 83 percent of 120 is roughly 100
The answer is 100 females
Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
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How is the domain of a function related to the numbers in the sequence?
How is the range of the function related to the numbers in the sequence?
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Answer:
A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers. We usually use the symbol an to represent a sequence, where n is a natural number and an is the value of the function on n.
Joseph was kayaking on the Hudson River. While looking at the Breakneck Ridge trail-head, he lost a whole bag of donuts. Joseph didn't realize he had lost it for fifteen minutes. That's when he turned back and started going in the opposite direction. When he found the bag, which was going at the speed of the Hudson's current, it was two miles from the Breakneck Ridge trail-head. What is the speed of the current in the Hudson River?
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Answer:
8 miles per hour
Step-by-step explanation:
Actually pretty simple. It took 15 minutes for the bag to travel two miles from the Breakneck Ridge so it will be four miles per 30 minutes six miles per 45 minutes and 8 miles per hour.
Consider the 3-digit number which are written by using only the digits 1,2,3,4,5. How many of these have two equal digits and one different digit?
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5 3-digit numbers that have three equal digits.
we need to apply the principle of inclusion-exclusion to account for the fact that some 3-digit numbers may be counted multiple times.
any 3-digit number that has three equal digits will be counted twice once as a 3-digit number with two equal digits and one different digit, and once as a 3-digit number with three equal digits.
There are 5 choices for the digit that is repeated, and 1 way to arrange the digits, so there are 5 3-digit numbers that have three equal digits.
Therefore, we need to subtract 5 from the total number of 3-digit numbers that have two equal digits and one different digit.
60 number are 3-digit numbers that have two equal digits and one different digit.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter.
The given digits are,
1, 2, 3, 4, 5.
Since, to find the 3 digits numbers which are written by using given digits, and have two equal digits and one different digit,
Here order of arrangement matters.
Use permutation formula,
From 5 digits, 3 are chosen,
Ways of arrangement = ⁵P₃
= 5! / (5-3)!
= 5! / 2!
= 5 x 4 x 3 x 2! / 2!
= 60
There are total 60 different ways, in which numbers can be arranged.
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3 plus 4 times a number is 5 times the number. What is the number?
Answers
Because first the “ number” is X so then the problem would be turned into 3 + 4x = 5x and you need to get all the numbers on one side and the X’s on the other side
Answer:
The num is three
Step-by-step explanation:
4 x 3 = 12
12 + 3 = 15
15 = 5 x 3
Fernando spent $20 of his $50 weekly allowance on snacks. What percent of his weekly allowance did he spend snacks?
Answers
Answer:
is the answer of 50 and spend 20 you have 30 left
Answer:
40%
Step-by-step explanation:
A good way to remember how to do percentages is starting with 10% of overall.
Overall, 10% of the $50 would be $5
you just move the decimal from $50.00 to $5.00
moving it to the left once, for ten percent
theres $20 so thats the 10x2
20 goes into 100, 5 times ...
It just so happens in this scenario, its 20% just like the $20 ... doesnt always happen like this.
What is the slope of the graph?
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Answer:2/3
Step-by-step explanation: the line is at the same distance at (-2,-10) as it is at (4,-6)
so from (-2,-10) to (4,-6) is 2 up and 3 over
meaning 2/3 = slope
Answer please I don't know this?
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Answer:
Its the second one
Step-by-step explanation:
please someone help
The frequency table shows how many visits to the library students in a school have made in the last month.
Visits Frequency
0 7
1 54
2 142
3 276
4 92
5 23
Work out the mean.
Give your answer rounded to 1 DP.
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Write the expression:
subtract 10 from r, then double the result
Answers
Answer: (q + 10) - r
Step-by-step explanation:
2(r-10)
Answer fast please thank you?
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Answer:
its 4-6
Step-by-step explanation:
I need help with my math questions!I added an attachment.
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Answer:
Answers below
Step-by-step explanation:
B. is [tex]1 \frac{2}{5} *3=4 \frac{1}{5}[/tex]
C. 75 -:- 2[tex]\frac{1}{5}= 30[/tex]
D. 27-:-6=4.5(or 4 and 1/2)
Alyson is restocking her pantry. She buys 4 kinds of canned soup: tomato (T), mushroom (M), vegetable (V), and chicken noodle (N). She also buys garlic croutons (G) and cheese croutons (C) to pair with the soups. Which TWO statements are TRUE for this situation?
A.{ T, M, V, N, G, C} is the sample space.
B.{TG, TC, MG, MC, VG, VC, NG, NC} is the sample space.
C.There are 8 serving combinations.
D.{T, M, V, N} is the sample space.
E.There are 6 serving combinations.
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Answer:
A and D would be your 2 sample spaces
Step-by-step explanation: because we can see its clearly not C or E so that leaves us with A , B, and D. I belive that B isnt a asnswer choice so that leaves A, and D
mark me brainless please it helps me
hope this helps
I would say A and D
There is no way that E and C are the answer. B is a no because TG…? What does TG mean? Some of the letters in choice B doesn’t make sense to me.
please help me to answer this (has to do with least common factors and stuff like that)
Answers
Answer:
Large gear: 2 revolutions, 24 teeth
Small gear: 3 revolutions, 24 teeth
Step-by-step explanation:
You want the number of teeth that have touched when a 12-tooth gear and an 8-tooth gear turn until they have the same relative position as when they started.
Least common multipleThe least common multiple (LCM) of 8 and 12 is the smallest integer that is a positive integer multiple of both these numbers. That value is ...
24 = 8·3 = 12·2
It is often found quickly by making use of your knowledge of multiplication tables.
How to find itThe LCM can be found by looking at the unique factors of the numbers, taking each to the highest of the powers:
8 = 2³
12 = 2² × 3
Among the factors 2 and 3, the highest powers are 2³ and 3¹, so ...
2³ × 3¹ = 24
is the LCM.
The LCM is also the product of the numbers, divided by their greatest common factor (GCF):
LCM(8, 12) = 8·12/4 = 24
__
Additional comment
The problem statement is telling you to look for the same number in the two right columns of the table. That number is 24. It goes in the blanks at the bottom.
guys can you help me please thank you
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Answer:
A. On the x-axis
B. In Quadrant 2
Step-by-step explanation:
Happy Holidays! I love your profile pic!
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
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The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.
Answers
14 hours
Step-by-step explanation:
Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday.
Thus, the total number of hours on those days would be 4x. Then, we are told that Sam's Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:
4x + 2(x + 2)= 76
4x+ 2x + 4 = 76
6x=72
x = 12
Remember, 12 hours is the number of hours that Sam's Soups is open on days that are not Saturday and Sunday. Those days are x
+ 2. Thus, that is 12 + 2 = 14 hours.