Given:
Initial number of pieces Myra have = 800.
Every 5 days she places one quarter of the remaining pieces into the puzzle.
To find:
The number of remaining pieces after 23 days.
Solution:
Initial number of pieces Myra have = 800.
Every 5 days she places one quarter of the remaining pieces into the puzzle.
It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.
The number of remaining pieces decreasing by [tex]\dfrac{1}{4}[/tex].
Formula for number of remaining pieces is
[tex]y=a_0(1-r)^t[/tex]
where, [tex]a_0[/tex] is the initial value, r is decreasing rate and t is time.
Putting [tex]a_0=800,r=\dfrac{1}{4}[/tex] and t=4, we get
[tex]y=800(1-\dfrac{1}{4})^4[/tex]
[tex]y=800(\dfrac{3}{4})^4[/tex]
[tex]y=800(0.75)^4[/tex]
[tex]y=800(0.31640625 )[/tex]
[tex]y=253.125[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 253[/tex]
Therefore, the number of remaining pieces is 253.
Tom and his friend both purchased some CD’s from an online store. The CD’s were all the same price. Tom purchased 5 CD’s for $80.00 and his friend purchased 3 CD’s for $52.00. Let x represent the number of CDs purchased, and y represent the total cost of the CDs. Write the equation in slope intercept form (y=mx+b). Show your work? NEED ASAP!
9514 1404 393
Answer:
y = 14x + 10
Step-by-step explanation:
We are given two points, (x, y) = {(5, 80), (3, 52)}. The 2-point form of the equation for a line can be used to find the equation.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (52 -80)/(3 -5)(x -5) +80 . . . . . fill in the given values
y = (-28/-2)(x -5) +80 . . . . . simplify a bit
y = 14x -70 +80 . . . . . eliminate parentheses; next, collect terms
y = 14x +10
write and equation of the line below
Answer:
y = 1/4x + 0 or just y = 1/4x
Step-by-step explanation:
First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.
Create an algebraic equation for the word problem below:
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.
Answer:
5+d2
Step-by-step explanation:
We'll make d=day
5+d2
5 is the base price
and 2 is the number that increases by day
Please tell me if it's incorrect
Happy Holidays!
least to greatest, 45%, .46, 11/25
Answer:
46, 11/25, 45%
Step-by-step explanation:
PLEASEEEE HELPPPPPP!
Answer:
We conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
[tex]x=2a-b^2[/tex]
switching sides
[tex]2a-b^2=x[/tex]
Add b² to both sides
[tex]2a-b^2+b^2=x+b^2[/tex]
Simplify
[tex]2a=x+b^2[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]
Simplify
[tex]a=\frac{x+b^2}{2}[/tex]
Therefore, we conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
A 2oz cup of frozen yogurt has 50 calories in it. How many calories are 7 oz?
Find the slope for problems 2 and 3.
Answer:
k
Step-by-step explanation:
2. y= 1/0.5x + 1
3. y= -8/1x + 0
these are the two answers. i hope this helped!
Jamal is hanging some lights on his house. His ladder is 12 feet long and makes an 80˚ angle with the ground. How high up the wall of his house will his ladder reach? Round your answer to the nearest hundredths place. Just enter a numeric answer, no units needed.
The ladder will reach 11.82 ft high of the wall of his house.
The situation will form a right angle triangle. Therefore,
The length of the ladder is the hypotenuse of the triangle formed.
The height of the wall is the opposite side of the triangle.
Therefore,
using trigonometric ratio,
sin 80° = opposite / hypotenuse
sin 80° = h / 12
cross multiply
h = 12 sin 80°
h = 12 × 0.98480775301
h = 11.8176930361
height of the wall ≈ 11.82 ft
read more: https://brainly.com/question/19892321?referrer=searchResults
change from word to standard form sixty-seven and five hundred thirteen thousandths
In parallelogram STUV, find the m∠TUV.
Answer: Angle TUV = 57 degrees
Explanation:
The diagram shows Angle TSV = 57 degrees.
Opposite angles of any parallelogram are always congruent, so angle TUV is equal to angle TSV. This makes angle TSV to be 57 degrees. The other values are not needed.
10 + 5xy
How do I work this out and what is the answer?
Answer:
5(2+xy)
Step-by-step explanation:
10+5xy
Factor out 5 from the expression
thus,the answer is 5(2+xy)
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answer:
i just need more points so sorry im not helping
Step-by-step explanation:
im just a blank bc it doesnt let me say it seventh grader
Answer: 12
Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12
Can someone help me with this
Answer:
(-8;11] is the range of the graph
The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
A | 8(2m+3)
B | 8(2+3m)
C | 8(2-3m)
D | 8(2m-3)
Answer:
The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D
Step-by-step explanation:
Let us find the greatest common factor of 16 and 24
∵ 16 = 1 × 16, 2 × 8, 4 × 4
∴ The factors of 16 are 1, 2, 4, 8, 16
∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6
∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
→ Find the common factors of 16 and 24
∵ The common factor of 16 and 24 are 1, 2, 4, 8
∵ The greatest one is 8
∴ The greatest common factor of 16 and 24 is 8
→ Take 8 as a common factor from 16m and 24
∵ 16m ÷ 8 = 2m
∵ 24 ÷ 8 = 3
∴ 16m - 24 = 8(2m - 3)
∴ The espression 8(2m - 3) shows the length and the width of
the rectangle
David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.
Answer: David has 11 DVDs and 27 books.
Step-by-step explanation:
When numbers are put in ratio form they are meant to compare their relative sizes.
The first number will be the first item being compared to the other.
For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be; 2:3. The ratio of your pencils to your pens however is 3:2.
In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.
Answer:
David has 11 DVDs and 27 books.
Step-by-step explanation:
What is the cube root of 864
Answer:
Cube root of 864 can be represented as 3√864.
Answer:
9.52441
Step-by-step explanation:
[tex] \sqrt[3]{864} [/tex]
[tex] = \sqrt[3]{(9.524 \times 9.524 \times 9.524)} [/tex]
[tex] = 9.52441[/tex]
8. Identify the domain and range to the following relations and state whether or not the relations are functions. State why or why not the relation is a function.
Domain:
Range:
Is this a function? Yes or No? Explain your answer.
Answer:
this is not a function because y-values repeat
Step-by-step explanation:
Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x=1
Step-by-step explanation:
-3x=-3
A chef is filling one sink with water, while emptying another. The first sink is empty and is being filled at a rate of 4 gallons per minuet. The second sink is full and is being drained at a rate of 2 gallons per minute. If both sinks hold 24 gallons of water, how many minutes will it take for the two sinks to have the same amount of water?
Which is not equivalent to the others please help
Answer:0.801
Step-by-step explanation:
Solve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
*BRAINIEST & 30 POINTS*
what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?
Answer:
(-5, 5)Step-by-step explanation:
Given points:
(-8,8) and (7,-7)Ratio of partitioning:
1 tp 4Use of formula:
P = (x1 + a/(a+b)*(x2 - x1), y1 + a/(a+b)*(y2 - y1))Substitute values:
P = (-8 + 1/(1+4)*(7 + 8), 8 + 1/(1+4)*(-7 - 8)) P = (-8 + 1/5*15, 8 + 1/5*(-15))P = (-8 + 3, 8 - 3)P = (-5, 5)Write the number "five hundredths, six thousandths, forty-two millionths" as a decimal.
Answer:
0.0560042
Step-by-step explanation:
When creating your budget, make sure the amounts (both income and expenses)
a. are for the same time period.
b. total to zero.
c. create a negative balance.
d. are for the same amount.
Answer:
a. are for the same time period
PLEASE ILL GIVE 40 POINTS!!! How do the magnetic and electrical components of electromagnetic waves travel in relation to each other?
at right angles
toward each other
in a circular motion
parallel to each other
Answer:
at right angles
Step-by-step explanation:
please solve thisss
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
~~
Look at the comments under this question! y = 10-3x and 2x+2y = 0
Answer:
Yes! You would sub 10-3x for y and solve.
Don't forget to use the distributive property! Your answer should be 5.
Select the correct answer.
Which statement is true about the graphed cubic function?
Step-by-step explanation:
The cubic function passes the x-axis only once,
so there is 1 distinct real zeroes and 2 complex zeroes.
The function has only one real zero and two complex zeroes. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the cubic function is shown.
The intersection of the curve with the x-axis is known as the zeroes of the function.
From the graph, the curve that cut the x-axis is only one point. Then the function has only one real zero and two complex zeroes.
Thus, the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
Please help!!!!!!!!!
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus
∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )
Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees
Answer:i dont know but i think its D.
Step-by-step explanation:
Pls mark meh Brainlessed
My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG