You will owe your friend less than $60 if you pay them $12 per week for more than 11.67 weeks, which means you'll need to make payments for at least 12 full weeks.
Explanation:To solve the problem of when you will owe your friend less than $60, we need to set up and solve an inequality.
The amount owed after any number of weeks can be represented by the initial debt of $200 minus the total amount paid off, which is $12 times the number of weeks.
If we let x represent the number of weeks, the inequality we need to solve is 200 - 12x < 60.
To solve this inequality, we subtract 200 from both sides, getting -12x < -140.
Then, we divide both sides by -12, remembering to reverse the inequality sign because we are dividing by a negative number, which gives us x > 11.67.
Since we can't pay off part of a week, we would need to pay your friend for at least 12 full weeks to owe less than $60.
Final answer:
To find when you will owe less than $60, set up the inequality 200 - 12w < 60. After simplifying, we see that it will take just over 11.67 weeks, so you will owe less than $60 after making payments for 12 weeks.
Explanation:
To solve the problem at hand, we need to create an inequality to represent the situation where you will owe less than $60 to your friend. Let's denote the amount owed each week with w and the total amount owed with A. You start with an initial debt of $200, and each week you pay off $12. The inequality we are trying to establish is when the total amount owed will be less than $60.
The inequality will be in the form of A - 12w < 60, where A is the initial amount of $200 and w represents the number of weeks. Plugging in $200 for A, we get 200 - 12w < 60.
To solve for w, we'll perform the following steps:
Subtract $200 from both sides to isolate the variable term: -12w < -140.
Since we are dividing by a negative number, remember to flip the inequality sign: w > 140/12.
Simplify the fraction to get the minimum number of weeks: w > 11.67.
You will owe your friend less than $60 after roughly 12 weeks since fractions of a week don't apply in the context of a weekly payment schedule.
i need someones help please?
Math Help??
What is the value of X?
The relation of this set of points is a function. True or false.
{(−2, 6), (4, 5), (3, −3), (6, 9), (4, −4)}
Question 1 options:
True
False
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Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house. Which choice lists the people in order from least to greatest by the amount of the house each painted?
Answer:
Nicholas, Zachary, Chloe, Alyssa.
Step-by-step explanation:
Given that Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house.
As such we cannot compare their works to order from least to greatest
Hence we can convert each portion into a decimal thus enabling comparison easier.
Zachary paints [tex]\frac{1}{5} =0.20[/tex] of the house
Alyssa paints [tex]33%=\frac{33}{100} =0.33[/tex] of the house
Chloe paints 0.3 of the house and
Nicholas paints 0.17 of the house.
In ascending order these can be written as
0.17, 0.2, 0.3, 0.33
Hence Nicholas, Zachary, Chloe, Alyssa.
solve this inequality 2(4x-3)≥-3(3x)+5x?
Answer:
x ≥0.5
Step-by-step explanation:
Given : 2(4x-3)≥-3(3x)+5x.
To find : solve this inequality.
Solution : We have given that
2(4x-3)≥-3(3x)+5x.
Distributes 2 over (4x-3) and -3 over 3x.
8x - 6 ≥ -9x + 5x .
8x - 6 ≥ -4x .
On adding both side by 4x
8x + 4x - 6 ≥ 0 .
12 x - 6 ≥ 0
On adding both sides by 6.
12 x ≥ 6.
On dividing both sides by 12.
x ≥ [tex]\frac{6}{12}[/tex] .
x ≥ [tex]\frac{1}{2}[/tex] .
x ≥0.5.
Therefore, x ≥0.5
PLZ HELPP ME WITH THIS MATH PROBLEM
Merry and pippin were working on a project in carpentry class. they needed to cut 4 lengths of 1 5/8 feet from a board. how long must the board be to allow this?
Answer:
Hence, the length of board is:
6.5 feet
Step-by-step explanation:
Merry and pippin were working on a project in carpentry class.
They needed to cut 4 lengths of 1 5/8 feet from a board.
That means each of the piece is of length 1 5/8 feet which could be written in fraction as:
[tex]1\frac{5}{8}=\dfrac{13}{8} feet[/tex]
Hence, the otal length of the board is addition of length of each board.
i.e.
[tex]\dfrac{13}{8}+\dfrac{13}{8}+\dfrac{13}{8}+\dfrac{13}{8}=4\times \dfrac{13}{8}=\dfrac{13}{2}feet=6.5feet[/tex]
Hence, the length of board is:
6.5 feet
Find the sum of all numbers below 1000 that are divisible by 3 or 5
First of all, stop thinking on the number 10001000 and turn your attention to the number 990990 instead. If you solve the problem for 990990 you just have to add 993,995,996993,995,996 & 999999 to it for the final answer. This sum is (a)=3983(a)=3983
Count all the #s divisible by 33: From 33... to 990990 there are 330330 terms. The sum is 330(990+3)/2330(990+3)/2, so (b)=163845(b)=163845
Count all the #s divisible by 55: From 55... to 990990 there are 198198 terms. The sum is 198(990+5)/2198(990+5)/2, so (c)=98505(c)=98505
Now, the GCD (greatest common divisor) of 33 & 55 is 11, so the LCM (least common multiple) should be 3×5=153×5=15.
This means every number that divides by 1515 was counted twice, and it should be done only once. Because of this, you have an extra set of numbers started with 1515 all the way to 990990 that has to be removed from (b)&(c).
Then, from 1515... to 990990 there are 6666 terms and their sum is 66(990+15)/266(990+15)/2, so (d)=33165(d)=33165
The answer for the problem is: (a)+(b)+(c)−(d)=233168(a)+(b)+(c)−(d)=233168
Simple but very fun problem.
Find the 31st term of the following sequence.
9, 15, 21, ...
Notice that the above sequence is arithmetic because the common difference: d is constant.
d = second term - first term.
= 15 - 9
= 6
The general term of an arithmetic sequence is,
a_{n} =a_{1} +(n-1)d
Where , nth term = [tex] a_{n} [/tex]
[tex] a_{1} [/tex] = First term
and d = common difference.
The given sequence is: 9, 15, 21, ...
Here a_{1} = 9,
d = 6
We need to find the 31st term. So, n = 31.
Next step is to plug in these values in the above formula. Therefore,
[tex] a_{31} =9 +(31-1)*6 [/tex]
= 9 + 30* 6
= 9 + 180
= 189
So, 31st term of this sequence is 189.
Hope this helps you.
Answer:
189
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
you can do both or neither as well THX
Please help with these questions thank you.
Given: -7x < -21.
Choose the solution set.
A. {x | x < -3}
B. {x | x > -3}
C. {x | x < 3}
D. {x | x > 3}
What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?
Estimate the decimal factors, then multiply to estimate the product.
1. 5.3 rounded to the nearest whole number is ____ .
2. 7.9 rounded to the nearest whole number is ____ .
3. (5.3)(7.9) ≈ ____ .
Answer:
1. 5
2. 8
3. 40
Step-by-step explanation: So rounding the factors is an easy way to estimate the product of 5.3 and 7.9.
The real answer is 41.87 and 40 is a reasonable approximation, Your welcome.
There are currently 58 million cars in a certain country, increasing exponentially by 5.5% annually. how many years will it take for this country to have 79 million cars? round to the nearest year.
What is the volume if something measures 6.2 cm x 13.7 cm x 26.9 cm?
The calculated volume is 2284.886 cubic centimeters.
The volume of a rectangular prism (or box) is calculated using the formula:
Volume = length x width x height
For the given measurements:
Length (l) = 6.2 cmWidth (w) = 13.7 cmHeight (h) = 26.9 cmPlug the values into the formula:
Volume = 6.2 cm x 13.7 cm x 26.9 cm
First, calculate the product of the length and width:
6.2 cm x 13.7 cm = 84.94 cm²
Next, multiply this result by the height:
84.94 cm² x 26.9 cm = 2284.886 cm³
Therefore, the volume of the object is 2284.886 cubic centimeters.
The total number of people at a football game was 5600. field-side tickets were 40 dollars and end-zone tickets were 20 dollars. if the total amount of money received for the tickets was 132000 how many of each kind of ticket were sold.
The table below represents the distance a person runs as a function of time:
Time distance meters
x f(x)
10 60
13 78
16 96
19 114
he average rate of change of the function between x = 10 to x = 16 is m/s and represents the person's speed. (3 points)
The function y = h(x) is defined as follows:
h(1) =
and h(4) =
What is the value of N?
-10= N over -0.2
Which of the following properties is 5(3 + 2) = 15 + 10 an example of?
associative property
commutative property
multiplicative identity
distributive property
Answer: Distributive property
Step-by-step explanation:
Associative property states that either in addition or multiplication we can changes the position of parenthesis.
That is, a.(b.c) = (a.b).c or a+(b+c) = (a+b)+c
Commutative property states that in addition or multiplication we can change the order.
That is, a.b = b.a or a+b = b+a
Multiplicative identity is an element that gives the same number after multiplication.
That is, a × 1/a = 1 ⇒ 1/a is the multiplicative identity of a.
Distributive property lets us multiply a sum by multiplying each addend separately and then add the products.
That is, a(b+c) = a.b + a.c
Thus, it is clear that ,
5(3 + 2) = 5× 3+ 5×2 = 15 + 10 is the example of distributive property.
The point MegaMarket sold 450 organic pears last season. this season they only sold 360 What was the percent decrease in sales
You were assigned to read 5⁄8 of your book. how many sixteenths is that? fraction
What is the exact value of cos theta = squareroot 2 over 2?
Segment AB is rotated to form A'B'¯¯¯¯¯¯¯ . The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4) . Which clockwise rotation around the origin results in the transformation of AB¯¯¯¯¯ to form A'B'¯¯¯¯¯¯¯ ?
which blood type was donates by the largest percent of people?
n Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance? -16.75 + (5.72 + 16.75) Use the commutative property to get: -16.75 + (16.75 + 5.72) Use the associative property to get: (-16.75 + 16.75) + 5.72 On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total? -$866.84 $878.28 $895.03 $903.10
Answer:
Option B. $878.28
Step-by-step explanation:
On Monday, Elsbeth's bank account balance was = $-16.75
She deposited a check = $5.72
On Thursday, she deposited = $16.75
Her new balance = -16.75+( 5.72 + 16.75)
= $5.72
On Friday Elsbeth deposited her pay check for = $872.56
The account's final total = 872.56 + 5.72 = $878.28
Elsbeth's account's final total was $878.28.
Option B. $878.28.
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. if you draw a ticket from the box, what is the probability that you will draw 2, 8, or 4?
Answer: [tex]\dfrac{3}{10}[/tex]
Step-by-step explanation:
Given : Each of ten tickets is marked with a different number from 1 to 10 and put in a box.
i.e. The total number of outcomes : 10
Favorable outcomes : 2, 8, or 4
i.e. Number of favorable outcomes = 3
Now, the probability that you will draw 2, 8, or 4 is given by :-
[tex]=\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\dfrac{3}{10}[/tex]
which ordered pair is a solution of the equation y=x-4
Answer:
Step-by-step explanation:
y = x - 4
there are so many ordered pairs which are the solution of the given equation.
for example,
x = 0, y = -4
x = 1 , y = -3
x = 2, y = -2
x = 3, y = -1
x = 4, y = 0
x = - 1, y = - 5
x = - 2, y = - 6
x = - 3, y = - 7
x = - 4, y = - 8
PLEASE HELP!!!! WILL MARK THE BRAINLIST!!!! PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE
a) The shoe store manager borrowed $17,000.00 from the bank to purchase 1000 pairs of shoes. The bank charges a simple interest rate of 5% per year on a loan to a business. If it takes 3 years to pay back the loan and interest, what is the total amount of interest that the shoe store will pay? (2 points)
b) What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)
c) How could you use estimation to determine if your answer is reasonable? Explain. (2 points)
A) 17000*(1+(0.05*3) = 19550
19550-1700 = $2,550 total interest
B) $19,550 total amount
C) multiply 5 by 3 = 15 than multiply by 17 = 17 * 15 = 255 , then make it a thousands amount by adding a zero at the end
Answer:
A)
p = 17000
r = 5% or 0.05
t = 3
Simple interest formula = p x r x t
Interest paid in 3 years = [tex]17000\times0.05\times3=2550[/tex] dollars
B)
Total amount to be paid = [tex]17000+2550=19550[/tex] dollars
C)
You can first multiply the years and rate that is 5 and 3 to make 15. Then you can multiply by 17. Then put proper decimals as per the values.