Write (5/3)³ as a quotient of powers.
Answer:
The number (5/3)³ written as a quotient of powers is; 5³/3³
According to the question;
We are required to determine write the number, (5/3)³ as a quotient of powers
The number (5/3)³ can be evaluated as;
= 125/27
= 5³/3³
Step-by-step explanation:
In order to join a yoga club you have to pay an annual fee and a fee per class. At Yoga For Us the annual fee is $30 and $5 per class. At Stretch Land the annual fee is $60 and
$2 per class. After how many classes would the fees be the same?
After 10
classes the feels the same.
It will take 10 classes for YOGA FOR US & STRETCH LAND to have the same amount of money spent on yoga classes.
For Yoga For Us after 10 classes . You would have spent 50 dollars for the classes,plus our $30 fee is (50+30) which is $80
For Stretch Land after 10 classes. You would have spent 20 dollars for the classes,plus our $60 fee is (60+20) which is $80.
Each yoga studio will have gathered $80 after 10 classes.
Hope this helps <3 & don't forget to drink water!!
The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution
Answer:
it has to be 37.4 degrees or higher. An inequality would be X≥37.4
step-by-step explanation:
Select the four equivalent expressions to 4x^2 - 4x -24
A - 2x^2 - 2x - 12
B - 4(x^2 - x - 6)
C - 4(x - 3)(x + 2)
D - (2x - 2x)^2 - 24
E - (4x - 12)(x +2)
F - (x - 3)(4x + 8)
Answer:
b. 4(x^2 - x - 6)
c. 4(x - 3)(x + 2)
e. (4x - 12)(x +2)
f. (x - 3)(4x + 8)
hope it helps :)
mark brainliest!!
HELP SOLVE THIS QUICK
y = 6x + 20
y = -4x + 150
Answer:
13
Step-by-step explanation:
set equations equal to each other and solve for x
6x + 20 = -4x + 150
10x = 130
X = 13
Prove that 4x-1 =11,in which the value of x=3
Answer:
3
Step-by-step explanation:
substitute where x=3 into the equation
so 4*3-1=11
4×3-1=11
12-2=11
11=11
proved..
write the ratio as a fraction in simple form 14 boxes:8 boxes
I don’t know how to simplify this fully;15x/5xy
Answer:
3/y
Step-by-step explanation:
15x
5xy
you would divide top and bottom by 5x, since it is their only common divisor.
you would then get 3/y. hope this helps
1+2+3+4+5+6+7+8+9+10+11+!2+13=?
Answer:
91
Step-by-step explanation:
1+2+3+4+5+6+7+8+9+10+11+12+13 = (14 * 6) + 7 = 91
elena went to a sporting goods store that was having a sale she bought a tennis racket and 3 cans of tennis balls the tennis racket is normally 43 all tennis rackets are marked done 15 percent one can of tennis balls is 4 the tennis balls are not marked done the sale tax is 8.5 how much will she pay for everything including tax
The amount that she will have to pay for everything is $52.68.
First step is to calculate the cost of 3 can of tennis ball
Cost of cans=3 x $4
Cost of cans=$12
Second step is to calculate the discount
Discount=15% x $43
Discount=$6.45
Third step is to calculate the cost of total racket
Total racket=$43 -$6.45
Total racket=$36.55
Fourth step is to calculate the amount that Elena will pay including tax
Amount=($12 + $36.55) + [($12 + $36.55)x 0.085]
Amount=$48.55 + ($48.55 x 0.085)
Amount=$48.55+$4.13
Amount=$52.68
Inconclusion the amount that she will have to pay for everything is $52.68.
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find the slope of the line 2y+5x=3
Answer:
-5/2
Step-by-step explanation:
First, you want to get the equation into the Y=mx+b formula, and my m will be the slope of the line.
So in our case, we get Y= -5/2x+3/2 so my slope is -5/2
The two-way table shows the estimated number of students who will enroll in three area high schools next year. A 5-column table has 4 rows. The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total. The second column is labeled Tenth grade with entries 110, 180, 160, 450. The third column is labeled Eleventh grade with entries 120, 150, 140, 410. The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400. The fifth column is labeled Total with entries 310, 450, 500, 1,260. In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twelfth grade? 0. 2 0. 3 0. 4 0. 5.
The probability that a randomly selected Riverside High School student is in twelfth grade is 0.4 and it can be determined by using probability.
Given that,The two-way table shows the estimated number of students who will enroll in three area high schools next year.
A 5-column table has 4 rows.
The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.
The second column is labeled Tenth grade with entries 110, 180, 160, 450.
The third column is labeled Eleventh grade with entries 120, 150, 140, 410.
The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400.
The fifth column is labeled Total with entries 310, 450, 500, 1,260.
We have to determine,What is the probability that a randomly selected Riverside High School student is in twelfth grade?
According to the question,The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.
The number of randomly selected Riverside High School students is in twelfth grade = 200,
And Total number of students in Riverside High School is = 500
Therefore,
The probability that a randomly selected Riverside High School student is in twelfth grade is,
[tex]\rm P(12th \ grade \students ) = \dfrac{Number \ of \ students \ in \ 12th \ grade }{Total\ number \ of \ students}\\\\ P(12th \ grade \students ) = \dfrac{200}{500}\\\\ P(12th \ grade \students )= 0.4[/tex]
Hence, The required probability that a randomly selected Riverside High School student is in twelfth grade is 0.4.
For more details about Probability refer to the link given below.
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Answer:
C
Step-by-step explanation:
Select “Rational” or “Irrational” to classify each number.
The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?
Answer: y = -2x + 8
Step-by-step explanation:
gradient = change in y/ change in x = 8/-4 = -2
y = -2x + c
substitute values in
8 = 0 + c
c = 8
y = -2x + 8
The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = -8/4
Slope = -2
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = 8.
FInd the required equation
y = -2x + 8
Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
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what's 5+5+5+5+5+5? and then times 1 ?
Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?
A.
$6727.50
B.
$3000.00
C.
$7400.25
D.
$5604.41
d
$5604.41 will be worth after 20 years I think
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Option 2.
1st year.
Principal = 1100
2nd year.
Principal = 1210
3rd year.
Principal = 1331
(1210 - 1100) / 1100 x 100
= 110/1100 x 100
= 10%
This means,
It is increasing at a rate of 10% annually.
Now,
P = $1100
r = 10%
n = 1
t = 20
A = P [tex](1 + r/n)^{nt}[/tex]
A = 1,100 [tex](1 + 0.1)^{20}[/tex]
A = $7400.25
Thus,
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
Learn more about compound interest here:
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help pleasee
on the image
with the steps.
Answer:
an = 22 -6(n -1)
Step-by-step explanation:
The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d
The third term will be ...
a3 = 10 = 22 +d(3 -1)
Then the common difference is ...
10 -22 = 2d
-12/2 = d = -6
__
Putting the known values into the formula for the general term, it becomes ...
an = 22 -6(n -1)
__
This can be simplified to ...
an = 28 -6n
(03.02) If g(x) = x2 + 2, find g(3). (2 points) Group of answer choices 9 8 11 6
this answers is 8 am I right
1. A hot air balloon 4s anchored to the ground by a 152-foot long
rope. The balloon hovers 132 feet above the ground. Which
statement is true?
(a) The angle the rope makes with the ground is about 30"
(B) The angle the rope makes with the ground is about 67
(C) The horizontal distance between the anchor and balloon is about 201 feet.
(D) The horizontal distance between the anchor and the balloon is about 75
foot,
19
please no links!!!!!!!!!!!
Suppose a trip is 355.1 miles long and you want to spend 2 days driving. How many miles
should you drive each day?
Answer: 177.55 miles
Step-by-step explanation: 355.1/2
= 177.55 miles each day
Answer:
177.55mi/day
Step-by-step explanation:
If you travel for x number of days and want to split your trip evenly across those days, simply divide the distance you need to travel by the number of days.
Square ABCD is drawn on the coordinate plane (not shown) with vertex A(-4,-2) and the midpoint of side AB at (-1.-6). What is the area of the square?
Answer:
ab hehehe hende ko Alam hahahah
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex]
What is the area of square?
The area of a square is equal to
(side) × (side) square units.
Here given that,
Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]
Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]
So,
[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]
Hence, the area of the square [tex]AB[/tex] is [tex]5[/tex].
To know more about the area of square
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Evaluate the expression wx when x = -15 and w = 5. wx = _________.
-3 75 -75 3
Answer:
-75
Step-by-step explanation:
i had the exam so it is write
what's 1+1 ???
enjoy!
A money market account dropped to 5/8 its original value of $7.200. What is its current value?
A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520
Answer:
Which claim most accurately describes the energy transformation taking place while he practices his guitar?
Sound energy is converted into elastic energy.
Kinetic energy is converted into thermal energy.
Mechanical energy is converted into sound energy.
Electrical energy is converted into mechanical energy.
Step-by-step explanation:
Answer:
C. 4,500
Step-by-step explanation:
Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500Francisco sold 9 rolls of wrapping paper for a band fundraiser earning the band $22.50. Sharon sold 16 rolls of wrapping paper and earned $40.00 for the band. If this relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis, what is the slope of the graph in dollars per roll?
A. 1.25
B. 2.50
C. 3.75
D. 5.00
Answer:
A
Step-by-step explanation:
If the relationship is graphed with the number of rolls sold on the x-axis and the money earned on the y-axis
Then the two points on that line will be (14,17.50) and (16,20)
We know that the slope of a lien with points is give by:-
Hence, the slope of the graph with points (14,17.50) and (16,20) is given by :-
Therefore, the slope of the graph = 1.25 dollars per roll.
Find the area.
2 cm
2 cm
4 cm
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Use the information given to answer the question. An office supply store has 1,508cases of paper and
736
boxes of pens. Each case of paper contains
24
packs of paper, and each box of pens contains
50 pens.
Part A
How many packs of paper does the office supply store have?
36,192 packs of paper
36 , 192 packs of paper
36,432 packs of paper
36 , 432 packs of paper
37,700 packs of paper
37 , 700 packs of paper
37,750 packs of paper
A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?
Answer: p800,000
Step-by-step explanation:
1/2 to wife
1/3 to eldest son, and
Rest(x) to 5 youngest children
(1/2) + (1/3) + x = 1 [The sum of the shares will equal 1 estate]
(3/6) + (2/6) + x = 1
(5/6) + x = 1
x = (1/6); to be divided among the 5 youngest children
We find that each young child receives p60,000. That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).
We can write: (1/6)*(Estate) = p300,000
Estate = p1,800,000
The wife hauled in 1/2 of this, so she received p800,000.
PLEASE HELP I NEED TO HAVE THIS DONE IN 30 MINUTES
Answer:
Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional
1 4/8 in a improper fraction?
Step-by-step explanation:
Step 1: Multiply the whole number part (1) by the denominator (8).
1 × 8 = 8
Step 2: Add the product from Step 1 (8) to the numerator (4).
8 + 4 = 12
Step 3: Write that result (12) above the denominator. So,
[tex]\frac4{8}{1}[/tex]
Step 4: The fraction [tex]\frac{12}{8}[/tex]
Can be reduced by dividing both numerator and denominator by the GCD(12,8) = 4. Thus,
[tex]\frac1{4}{8} =\frac{3}{2}[/tex]