Amount earned per week=400-380=$20
Price of one shoe=70$
Total weeks
70/203.5Minimum 4 weeks
Answer:
4 weeks
Step-by-step explanation:
Given:
$400 = weekly net income$380 = weekly expensesTherefore,
Weekly surplus = weekly net income - weekly expenses
= $400 - $380
= $20
Given:
Cost of new shoes = $70Weekly surplus = $20Number of weeks = cost of new shoes ÷ weekly surplus
= $70 ÷ $20
= 3.5
= 4 weeks (rounded to nearest week)
Therefore, it will take 4 weeks to save enough to buy the shoes.
What is the factored form of x²y³ - 2y³ - 2x² + 4?
y³ (x² − 2) +2 (-x² + 2)
Answer:The third option is correct
Step-by-step explanation:
Answer:
(y³ - 2) (x² - 2).
Step-by-step explanation:
x²y³ - 2y³ - 2x² + 4
= y³ (x² - 2) - 2(x² - 2)
(x² - 2) is common to both parts so we have:
(y³ - 2) (x² - 2)
Eric and bianca are drawing a model of a city park in the cordinate
For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
What is a Coordinate system?In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the position of any given points.
Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.
Learn more about coordinate from
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Answer:
Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .
Bianca is correct.
Step-by-step explanation:
Hope this helps.
question 7. evaluate the expression
[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]
Answer:
-3
Step-by-step explanation:
Using PEMDAS :
ParenthesesExponentsMultiplicationDivisionAdditionSubtractionExponent (in Parentheses)
(3³ - 6 × 8) ÷ 7(27 - 6 × 8) ÷ 7Multiplication (in Parentheses)
(27 - 6 × 8) ÷ 7(27 - 48) ÷ 7Subtraction (In Parentheses)
(27 - 48) ÷ 7-21 ÷ 7Division
-21 ÷ 7-3What is the answer please?
Answer: B (middle option)
Congruent; a counterclockwise rotation of 90° followed by a translation
Step-by-step explanation:
Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
that has a circumference of 2.5 miles. for which of these functions does y represent the
number of miles a motor car has left to go in the race if x represent the number of laps
completed by the motor car?
a. y = -2.5x -500
b. y = -2.5x + 500
c. y = 2.5x -500
d. y = 2.5x + 500
The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?
Answer:
It is 15 m long.
Step-by-step explanation:
Given
width (b) = 20 m
Area of the floor (A) = 300 m^2
Length (L) = ?
we know
A = L * b
300 = L * 20
L = 15 m
Hope it will help :)
Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
The y-intercept is the coordinate point where x = 0. For the log function;
f(x) = log(x - 5)
If y = 0
0 = log(x-5)
x - 5 = 10^0
x - 5 = 1
x = 6
Hence the x-intercept is at (6, 0)
The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes
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A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.
Answer:
$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
seams very unrealistic lol
Answer:$10.862005 million
Step-by-step explanation:
150,000*1.036331 monthly
12*10=120
$150,000*1.036331 ^120=$10.862005 million
Find the area of the figure. Show work and explain please.
Answer:
464 units²
Explanation:
Part A
Length × Width = 8 × 16 = 128 units²
Part B
Length × Width = 24 × 8 = 192 units²
Part C
Length × Width = 12 × 4 = 48 units²
Part D
Length × Width = 24 × 4 = 96 units²
Total Area: 128 + 192 + 48 + 96 = 464 units²
Answer:
464 units²
Step-by-step explanation:
The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.
(see attached diagram)
Total area of the rectangle = width × length
= 24 × (16 + 4 + 4)
= 24 × 24 ← the shape is actually a square!
= 576 units²
Missing Area 1
Top left square = 8 × 8
= 64 units²
Missing Area 2
Bottom right rectangle = 4 × 12
= 48 units²
Total area = area of rectangle - missing area 1 - missing area 2
= 576 - 64 - 48
= 512 - 48
= 464 units²
the volume of the cylinder is 225π and the height is 27cm what is the radius of the cylinder
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]
Find the surface area of the figure below:
Which is following answer is the correct hypotenuse?
Answer:
(c) x = 15.26
Step-by-step explanation:
a² + b² = c²
8² + 13² = c²
64 + 169 = c²
c² = 233
c = 233 ½
c = 15.26
10. BRO SOMEONE HELP ME IM STUCK ON THIS
What is the prime factorization of 120?
Answer:
2 to the power of three × 3 × 5
Step-by-step explanation:
which statement about a parallelogram is true?
some parallelograms have side lengths that are all different
all parallelograms have opposite sides that are parallel.
all parallelograms have 4 square corners
some parallelograms have more than 4 sides
giving brainiest
Step-by-step explanation:
all parallelograms have opposite sides that are parallel.
that is the only true statement.
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is
P(not A)?
8/9
2/3
1/3
1/9
The probability of the spinner not occurring A will be 8/9. Then the correct option is A.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.
Then the probability of not occurring A will be
The total event will be
Total events = 9 {A, B, C, D, E, F, G, H, I}
The favorable event will be
Favorable events = 8 {B, C, D, E, F, G, H, I}
Then the probability will be
P = 8/9
More about the probability link is given below.
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What are the coordinates for D?
options:
(-3, 2)
(-3, -1)
(-2, -3)
(-3, -2)
Answer:
(-3, -2)
Explanation:
Coordinates are represented in the form of (x, y)
To know the x coordinates see the value on the x-axis.
To know the y coordinates see the value on the y-axis.
From there we can identify:
A = (x, y) = (-4, 4)
B = (x, y) = (2, 2)
C = (x, y) = (0, -5)
D = (x, y) = (-3, -2) ← Required answer.
please help.... thank you
Answer:
going from left to right
1. 1/2
2. 3/4
3. 1 1/4
4. 1 1/2
5. 1 3/4
6. 2 1/2
7. 2 3/4
8. 3 1/2
9. 3 3/4
since 1/2 is > 1/4
and 3/4 is > 1/2
whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)
hope this helps:)
Jordan fills several bags of oranges . This line plot shows the wait of each bag.
How many more pounds does one of the heaviest bags weigh more than one of the lightest bags.
Enter your answer as a fraction in simplest form by filling the boxes.
Answer: 1 1/8 or 9/8
Step-by-step explanation:
5 1/2-4 3/8= 1/ 1/8
A number is given three successive discounts of 20%, 25% and 20%; Three successive increases of 20%, 25% and 20% are made to the resulting number, resulting in a number that differs from the original by 408 units. Calculate the original number.
Answer:
3000
Step-by-step explanation:
The multiplier associated with each percentage change (p) is (1 +p). We can use this fact to relate the original number to the modified number.
__
discounted numberLet x represent the original number. Then the discounted number is ...
x(1 -20%)(1 -25%)(1 -20%) = x(0.8)(0.75)(0.8) = 0.48x
increased numberAfter those discounts, the increased number is ...
(0.48x)(1 +20%)(1 +25%)(1 +20%) = (0.48x)(1.2)(1.25)(1.2) = 0.864x
differenceThe difference from the original is ...
x - 0.864x = 408
0.136x = 408 . . . . simplify
x = 3000 . . . . . . . divide by the coefficient of x
The original number was 3000.
help me pease it my end of the year grade
Answer:
3k+1
Step-by-step explanation:
Answer:
The correct answer is 3k + 1
Step-by-step explanation:
Hope this helps:) Goodluck!
how to solve to |12(16−63)|
Step-by-step explanation:
simply do the calculations :
|12 × (16 - 63)|
|12 × - 47|
|-564| = 564
that's it.
remember, the absolute value is always the positive value of a number.
|-x| = x
and also
|x| = x
The graph shows how the annual budget for a company is divided by department. Use this graph to answer the questions below
Answer: a) the answer is engineering
Step-by-step explanation:
because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees
You chose an EXPONENTIAL model with the equation:
y=4.04·0.56x
In the context of the tennis balls:
(1) What does 4.04 mean?
(2) What does 0.56 mean?
Equation: y = 4.04·0.56^x
(1) What does 4.04 mean?Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)
(2) What does 0.56 mean?Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)
Extra's :x represents the unit of measure of bounces.
General equation
y=ab^x#1
Here
a is 4.04So it represents the initial value where x is 0 as any number⁰ is 1#2
0.56 is bit's the rate of change with respect to x3. Ramu finishes 1/3 part of a work in 1 hour. How much part of the work will be finished in 1 2/5 hours?
SOMEBODY CAN YOU PLEASE HELP ME?!
Answer:
7.81
Step-by-step explanation:
I attached a drawing explaining how to use the Pythagorean theorem to solve this problem. Let me know if you have any questions!
Does anybody know this? Find the value of y and z
Answer:
z = 70 (Since it is a straight angle)
y = 110 (y = 180 - z)
A bookstore classifies its books by reader group, type of book, and cost. What is the probability that a book selected at random is a child’s book, given that it costs $15?
< $10 > $10
Child Fiction 120 255
Nonfiction 35 60
Adult Fiction 200 110
Nonfiction 75 150
A. 3151005
B. 4701005
C. 315575
D. 470575
Answer:
A) 315/1005
Explanation:
Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005
Favorable choices: 255 + 60 = 315
probability:
favorable choices/total choices
315/1005
21/67
Answer:
Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)
Step-by-step explanation:
Classification of the book in to 3
First let's assign terms to each probability
Let:
T1= total number of type of Reader's group
T2 = total number of Type of book
T3 = total number of type of Cost
Probability of child's book and cost $15= Pr(Cb) & Pr(cost $15)
Then find probability of child's book and cost separately:
Pr of child's book = Pr(Cb)
Pr(Cb) = (number of child's book)/ total number of type of group
Ncb = number of child's book
Pr(Cb) = Ncb/T1
Pr (cost $15) = $15 book/total number of cost
Pr (cost $15) = 15/T3
probability of child's book and cost $15 = Pr(Cb) × Pr (cost $15)
= Ncb/T1 × 15/T3
Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)
Please help me solve for X
Answer:
[tex]\boxed{\sf x = 11.57}[/tex]
Step-by-step explanation:
[tex] \sf {x}^{2} = {3.6}^{2} + {11}^{2} [/tex]
Calculate 3.6 to the power of 2 to get 12.96, and 11 to the power of 2 which will give you 121.
[tex] \sf {x}^{2} = 12.96 + 121[/tex]
Add 12.96 and 121.
[tex]\sf {x}^{2} = 133.96[/tex]
Now, we'll take the square root of both sides of the equation.
[tex] \sf \sqrt{ {x}^{2} } = \sqrt{133.96} [/tex]
[tex]\sf x = 11.57[/tex]