Answer:
1. 1/12x
2.1/6x
3. 18
Step-by-step explanation:
Let
x=number of crackers in the box
On Monday, Alexander are 1/2 of the crackers
1/2 of x
=1/2x
Remaining
x-1/2x=2x-1/2
=1/2x
Tuesday=1/2 of what was left
=1/2 of 1/2x
=1/2×1/2x
=1/4x
Remaining
1/2x-1/4x
=2x-x/4
=1/4x
Wednesday=1/3 of what was left
=1/3 of 1/4x
=1/12x
Remaining
1/4x-1/12x
=3x-x/12
=2/12x
=1/6x
1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?
1/12x
2. what fractional part of the total crackers originally in the box are left.
1/6x
3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.
1/6x=3
Divide both sides by 1/6
1/6x ÷ 1/6 = 3 ÷ 1/6
x=3÷1/6
=3 × 6/1
=18
x=18
Answer:
1) 1/12
2) 1/6
3) 18
Step-by-step explanation:
find the area of the shaded region
One shaded triangle has a base of 4.5 ft and a height of 9 ft, so its area is 0.5 * 4.5 * 9 = 20.25.
There are two such triangles, so the area of the shaded region is 40.5.
If sine theta equals one over three, what are the values of cos θ and tan θ?
Answer:
cos theta = √8/3
tan theta = √8/8
Step-by-step explanation:
sin theta = 1/3
1² + x² = 3²
x = √8
cos theta = √8/3
tan theta = 1/√8 = √8/8
Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68
Answer:
x = 60
Step-by-step explanation:
Given
[tex]\sqrt{x+4}[/tex] - 7 = 1 ( add 7 to both sides )
[tex]\sqrt{x+4}[/tex] = 8 ( square both sides )
([tex]\sqrt{x+4}[/tex] )² = 8² , that is
x + 4 = 64 ( subtract 4 from both sides )
x = 60
Find combinations using a school cafeterias meal! (20 POINTS! PLEASE HELP) Fruits: Apples, Bananas, and Grapes. Vegetables: Cauliflower, Carrot, and Corn. Protein: Green beans, Salmon, and Almonds. List all possible combinations and count the total number of possibilities.
Answer:
1. Apples, Cauliflower, Green beans
2. Apples, Cauliflower, Salmon
...
27. Grapes, Corn, Almonds
Step-by-step explanation:
There are 3x3x3 = 27 combinations possible. You can enumerate them systematically.
Answer:
There are 27 combinations possible.
Hope this helps!
What is the range for the following
numbers?
5, 1, 12, 3, 4, 2, 10
Answer:
11
Step-by-step explanation:
Find the range by calculating the difference between the smallest and largest numbers in a set.
The smallest number is 1, and the largest number is 12.
Find the difference:
12 - 1
= 11
So, the range is 11.
Answer:
11
Step-by-step explanation:
1,2,,3,4,5,10,12
Range is lowest value subtracted from highest value so: 12 -1 = 11
answered by g a u t h m a t h
Find the arc length of the partial circle.
Answer:
● 23.55 units
Step-by-step explanation:
Arc length = 5( 270 π/ 180)
= 7.5 π units
= 7.5 (3.14)
= 23.55 units
OAmalOHopeO.
============================================================
Explanation:
For now, we'll just find the perimeter of the full circle. The term "circumference" is the same as the perimeter of the circle.
Use the circumference formula to get
C = 2*pi*r
C = 2*3.14*5
C = 31.4
The distance around the full circle is approximately 31.4 units. It's approximate because pi = 3.14 is approximate.
We don't want the full distance around the circle. Instead, we want just the length of the green arc shown in the drawing. This is exactly 3/4 of the full circle, aka 3/4 = 0.75 = 75% of the full perimeter.
The length of the green arc is about 0.75*C = 0.75*31.4 = 23.55 units long. Imagine using a cloth ruler (used in tailoring clothes) as one way to confirm that this arc length is roughly 23.55 units long. Or you could imagine unwrapping this curved portion to lay it completely straight and flat against a ruler.
The area of the school garden is 31 1/4 ft. If the width is 6 3/5 ft, find the length.
Answer:
The length of the school garden is 4 97/132 feet
Step-by-step explanation:
Divide 31 1/4 by 6 3/5.
125/4 divided by 33/5 = 625/132
625/132 = 4 97/132
Hope this helps :)
The length of garden is 625/ 132 ft
what is area of rectangle?The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension
Area of a Rectangle. A = l × b.Given:
area of garden = 31 1/4 ft = 125/4
width = 6 3/5 ft = 33/5 ft
Now, area of garden
=length * width
125/4 = length * 33/5
length= 125/4 * 5/33
length = 625/ 132 ft
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
Answer:
The answer is A: 120yd^2
Step-by-step explanation:
Volume = Width x length x height
Volume = 8 x 3 x 5
Volume = 120
Answer:
120
Step-by-step explanation:
8*3*5
1. The cost of buying some books is partly constant and partly varies with the number of books bought. The cost is #4800 when 20 books are bought and #8000 when 40 are bought. Find the cost when 1000 books are bought
Answer:
Step-by-step explanation:
let the cost based on number of book bought be x and the constant be c:
4800 = 20x + c
8000 = 40x + c
c is common in both equations:
c =4800-20x
c = 8000-40x
equate the two:
4800-20x = 8000 - 40x
20x = 3200
x = 160
and c = 4800-20*160
c = 1600
Cost of 1000 books:
160*1000 + 1600
= 161600
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
She must jog 7 laps in order to meet her goal.
Step-by-step explanation:
A more accurate answer would be that she needs to run 6 1/4 laps to meet her goal. However, because the problem states that she will not be running partial laps, then the number of laps she runs must be a whole number, which in this case works out to be 7 laps.
8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸
Answer: B:2^16
Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536
[tex]\boxed{\huge\text{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]
[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]
[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]
[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]
[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Write the explicit rule by writing each term as the product of the first term.
1.) N 1 2 3 4
F(n) 3 15 75 375
2.) 40, 60, 90, 135,
Answer:
1 f(n) = 3(5)^x-1
2 f(n) = 40(3/2)^x-1
Step-by-step explanation:
The first number in the sequence, times the (multiplicative factor)^ x-1 is the rule for geometric sequences.
Answer:
graph A on edge 2020
Step-by-step explanation:
I took the test
27
What is the value of the expression
-x(y - 3)2 for x = -2, y = 6 ?
HELP! answer if you can plz and thank you..
Answer:
12
Step-by-step explanation:
Substitute the given numbers for the variables.
-(-2)(6-3)2
2(3)2
12
FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP
Answer:
-1*5*7*11*y
Step-by-step explanation:
This is the prime factorization of 385y times -1.
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Option A) A = 100(1.005)^12t
Step-by-step explanation:
The formula for Total Amount obtained using compound interest is given as:
A = P( 1 + r/n) ^nt
Where
A = Total amount received or obtained after investing
P = Principal or Initial Amount invested
r = interest rate
n = rate or number of times the interest is compounded
t = time in years.
In the question we obtained this values
P = $100
r = 6% = 0.06
n = compounded monthly, we have 12 months in a year, hence, n = 12
t = t
Using the compound interest formula for Amount A,
A = P( 1 + r/n) ^nt
A = 100(1 + 0.06/12)^12 × t
A = 100(1 + 0.005)^12t
A = 100(1.005)^12t
Therefore, the value of Mari's Investment if the interest is compounded monthly is
A = 100(1.005)^12t
Hence, Option A is correct.
A student earned grades of , , , , and . Those courses had the corresponding numbers of credit hours , , , , and . The grading system assigns quality points to letter grades as follows: A4; B3; C2; D1; F 0. Compute the grade point average (GPA) as a weighted mean and round the result with two decimal places. If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list
Answer:
grade point average (GPA) as a weighted mean = 3.14
Yes, student makes the Dean's list.
Step-by-step explanation:
Since the data is not given I will explain the question with a relevant example:
For example
Data:
Students grades are: A, C, B, A, D
The corresponding number of credit hours: 3, 3, 3, 4, 1
The grading system assigns quality points to letter grades as:
A = 4
B = 3
C = 2
D = 1
F = 0
To find:
grade point average (GPA) as a weighted mean
If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list?
Solution:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
Here
Using the earned grades of A, C, B, A, D and corresponding quality points to these letter grades we get:
A = 4
C = 2
B = 3
A = 4
D = 1
So the values in x[tex]_{i}[/tex] are:
x
4
2
3
4
1
Now the number of credit hours are represented as weights w[tex]_{i}[/tex] :
w
3
3
3
4
1
In order to calculate weighted mean first multiply x[tex]_{i}[/tex] with w[tex]_{i}[/tex]
x[tex]_{i}[/tex] w[tex]_{i}[/tex]
4 * 3 = 12
2 * 3 = 6
3 * 3 = 9
4 * 4 = 16
1 * 1 = 1
The sum of x[tex]_{i}[/tex] w[tex]_{i}[/tex] is :
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 12 + 6 + 9 + 16 + 1 = 44
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 44
Now compute the sum of w[tex]_{i}[/tex]
Σw[tex]_{i}[/tex] = 3 + 3 + 3 + 4 + 1 = 14
Σw[tex]_{i}[/tex] = 14
Putting the values in the weighted mean formula:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
= 44 / 14
= 3.1429
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex] = 3.14
Since the Dean's list requires a GPA of 3.00 or greater and the grade point average (GPA) as a weighted mean of the student is 3.14 so the student makes the Dean's list because his/her GPA is higher than 3.00
1. An average orange has a mass of 270 grams. What is the mass of 8 oranges in kg?
.
.
2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print? 1 gallon = 3.79L
.
.
3. If you are driving 55 miles per hour, how many feet per second are you traveling?
Convert hours to minutes:
Convert minutes to seconds: Convert miles to feet:
.
.
4. Ivan’s car has 40 L gas tank. If gas costs $3.67 per gallon how much does it cost to fill her tank?
1 L = .264 gallons
Convert liters to gallons: Calculate the cost of gasoline:
.
.
5. A child requires a 5 mL dose of medicine each day. How many days would a liter of this medicine last?
Answer:2.the answer is 189,250pages
Step-by-step explanation:
1L=1000ml
3.785=?3785
1ml=50pages
3785ml=?
The answer is 189,250
convert 72° into grades.
Answer:
80 grades is the answer.
Step-by-step explanation:
72° into grades
1° = 10/9 grades
72° = 10/9 × 72grades
= 720/9 grades
= 80 grades
Answer:
80 grades
Step-by-step explanation:
72° into grades
=>1° = 10/9 grades
=>72° = 10/9 × 72 grades
=>72° = 720/9 grades
=>72° = 80 grades
The path a character takes to navigate a level of a video game is given in the following graph.
Piecewise function with a linear function going from a closed point at negative 12 comma negative 6 to an open point at negative 6 comma negative 6 and another linear function from a closed point at negative 6 comma negative 4 up to the point 2 comma 4 and then horizontally to a closed point at 8 comma 4 and then another linear function from an open point at 8 comma 0 down to a closed point at 14 comma negative 3
What is the domain?
The domain is the set of x values that has a corresponding y-values in a function or a graph.
The domain of the graph is: [tex]-10 \le x \le 10[/tex]
From the graph (see attachment), we have the following observation
The value of x starts from -10 (represented by the horizontal line from (-10,4) to (-4,4))The value x ends at 10 (represented by the slant line on the first quadrant)These values can be represented as:
[tex]x_1= -10[/tex]
[tex]x_2 = 10[/tex]
So, the domain of x is: [tex]-10 \le x \le 10[/tex]
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Simplify 6 to the second power
Answer:
36Step-by-step explanation:
[tex]6^2 =6\times 6\\\\= 36[/tex]
gabys piggy bank contains nickles and dimes worth $5.15. If she has 66 coins in all, how many of each does she have
8.18
Step-by-step explanation:
8.18
pow pom wyh oqhw uwhwn 8.18 ge wk
Answer:
37 Dimes, 29 Nickels
Step-by-step explanation:
x= dimes
66-x = nickels
.1 (x) = dimes
.05 (66-x) = nickels
Solve
3.3 + 0.5x = 5.15
Solve again then you come out with
x= 37
66 - 37 = 29
One number is six times another number. Their difference is 35. Whàt are the two numbers?
Answer:
7 and 42
Step-by-step explanation:
The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42
during a special seasonal sale,a wholesaler allows retailers trade discount of 15% and 10% for prompt cash payment.Calculate the cash price of an article which is marked 115 cedis
The cash price of the article is 88 cedis.
In this question, the article has a price, but paid in cash, there are two discounts.
Price of 115 cedis.Discount of 15%, thus, 1 - 0.15 = 0.85 is paid, that is, the price is multiplied by 0.85.Discount of 10%, thus 1 - 0.1 = 0.9 is paid, that is, the price is also multiplied by 0.9.Thus, the cash price is:
[tex]P = 115\times0.85\times0.9 = 88[/tex]
The cash price of the article is 88 cedis.
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*Do the equations have solutions? x2=x
Answer:
x = 1
Step-by-step explanation:
x² = x
x² / x = 1
x = 1
Check:
1² = 1
In the figure above, O is a circle. What is the
measure of obtuse angle AOB, in degrees?
Answer:
An obtuse angle is an angle that is bigger than 90° degrees, but doesn’t reach a straight line at 180°.
Step-by-step explanation:
i didnt see a figure above but this is the answer to "what is the measure if obtuse angle in degrees?"
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answer:
(x , y ) -----> (x , y -4)
Step-by-step explanation:
There is no change in x-coordinate
Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)
7 + a = 3
a = 3 - 7
a = -4
y-coordinate of A' = y-coordinate of A - 4
helppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -1
Step-by-step explanation:
14x + 2 = 9x -3
Transpose
14x -9x = -3 -2
5x = -5
x= -5/5
x = -1
Answer:
x = -1
Step-by-step explanation:
[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]
ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Another customer buys 14 used books and 2 new books for $124. How much
is one used book (u), and one new book (n)?
Answer:
n=6 u=28/3
Step-by-step explanation:
system of equations
The number of used books sold will be 7 and that of the new book will be 9.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given
Number of used books = u
Number of new books = v
In the first case;
12u + 4n = 136
In the second case;
28u + 4n = 248
By both equations,
u = 7 and n = 9
So the number of used books is 7 and the new is 9.
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A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?
Answer:
15 minutes
Step-by-step explanation:
60 x 50 x 40 = 120000
120000 cubic cm = 120 litres
120/8 m= 15
Ans : 15 min.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C. 2296 units² is the answer
Answer:
Option C, 2296 units²
Step-by-step explanation:
surfaceaArea of a rectangular prism,
2(wl+hl+hw)
= 2×(10×16+38×16+38×10)
= 2296 units²