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.
which point is the incenter of angle DEF
4. Ollie has a jar of preserves in the shape of the cylinder. If the jar is currently , full of preserves,
what is the volume of preserves in the jar?
Answer: D. 25.12 units3
Step-by-step explanation:
Answer: D
Step-by-step explanation:
so first you need to find the volume of the cylinder which is 100.53
Next, you need to divide the volume by 1/4 which will give you 25.13
6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
[tex]C = 42[/tex]
[tex]L= 126[/tex]
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
[tex]42 = 2^1 * 3^1 * 7^1[/tex]
[tex]126 = 2^1 * 3^2 * 7^1[/tex]
Hence, the GCF is
[tex]GCF = 2^1 * 3^1 * 7^1[/tex]
[tex]GCF = 42[/tex]
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
[tex]Treats = \frac{C}{GCF}[/tex]
[tex]Treats = \frac{42}{42}[/tex]
[tex]Treats = 1[/tex]
For L:
[tex]Treats = \frac{L}{GCF}[/tex]
[tex]Treats = \frac{126}{42}[/tex]
[tex]Treats = 3[/tex]
Hence, 1 candy bar and 3 lollipops
What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree
ANSWER IS 150 DEGREES
Answer:
C
Step-by-step explanation:
By converting radians 5π /6 into a degree, we get the nearest degree 150.
How to convert radians into a degree?
We can convert radians into a degree by using the formula
Degree = Radians x (180°) / π
To 5π /6 convert radians into a degree,
Degree = Radians x (180°) / π
Degree = 5π /6 x (180°) / π
= 5 /6 x (180°)
= 150°
Learn more about Degree;
https://brainly.com/question/364572
You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
True
False
Answer:
Step-by-step explanation:
THe answer is true
Write the slope-intercept form of the equation of the line passing through the point (5, - 1) and parallel to the line y = 4x - 1
Step-by-step explanation:
hope this solution will help you
Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)
9514 1404 393
Answer:
C 18(2 + 3)
Step-by-step explanation:
The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...
36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C
Find the slope of the line 0,-19 20,15
for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
the purse?
A)$0.75
B)$1.61
C)$3.76
D$16.13
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
The final answer is D) I and II only
Step-by-step explanation:
Think bout what the formula is
y=mx+b
in this case
the slope of the graph is
5/ 9 , which means that for an increase of 1.
C= 5 /9 (F)
C=
5 /9 (1)= 5 /9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9 /5 degrees Fahrenheit.
Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.
These questions are the worst
Answer:
yes.. i HATE them!!
ur answer is: either C or D
(not sure..)
Sugar and flour are mixed in the ratio 3.5 in a sweet recipe in another recipe 15 parts of flour are used if these two ingredeints on both recipes are in both recipes are an equivalent ratio
Answer: 9
Step-by-step explanation:
Here is the completed question.
Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?
Ratio of sugar and flour = 3:5
Since 15 parts of flour are used, the parts of sugar that should be used will be:
= 15 ÷ 5/3
= 15 × 3/5
= 3 × 3
= 9
Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)
Answer:
16.4
Step-by-step explanation:
4(5.5 + 6) - 3(6 + 4)
4(11.6) - 3(10)
46.4 - 30
16.4
Answer:
The answer is 16.
Step-by-step explanation:
4(x+6)−3(y+4)
=4x+24-3y-12
=4(5.5)+24-3(6)-12
=22+24-18-12
=46-30
=16
apple's cost 3.60 for 3 pound how much pounds for 8.40$
Answer:
7 pounds.
Step-by-step explanation:
3.60 for 3 pounds
1.20 per pound.
8.40/1.20 = 7 pounds
- 6x+5
A. (x + 5)(-1)
B. (x-4)(x-2)
C. (x + 4)(x-2)
D. (x - 5)(x-1)
every choice except A quadratic questions
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
QN = 17
JQ = 2*QN
JQ = 2* 17
JQ = 34
Hi, i need help Pleases.
Answer:
D. it has all the odd number in between 2-20 and in order
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Those are all the odd numbers between 2 and 20
The capacity of a small children’s swimming pool is 106 gallons of water. There are currently 15 gallons of water in the pool. You are filling the pool at a rate of 2 gallons per minute.
1. Write an equation that gives the amount y (in gallons) of water in the pool as a function of the number x minutes from now.
2. After how many minutes will the pool be full?
Answer:
1. y=2x+15
2. 45.5 min
Step-by-step explanation:
1. You find 2x by looking at the give rate of gallons (2) a min (x). This information is given in the word problem. This gives the equation of y=2x. But you already have 15 gallons in the pool, so you need to add the +15 at the end of the equation giving you y=2x+15.
2. Y is the total gallons. This is 106 gallons (given in the word problem). We are trying to solve for x (# of minutes to fill the pool). 106=2x+15. subtract 15 from both sides giving 91=2x. Divide both sides by 2 giving x=45.5. It will take 45.5 minutes to fill up the pool.
what ius the symoble for iron
Answer:
fe
Step-by-step explanation:
Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.
After how many minutes will both aquariums contain the same amount of water?
All truck travels 2,400 m in 60 hours, going the same distance each hour. How many miles does the truck travel each hour?
Answer:
The truck travels 40 miles per hour.
Step-by-step explanation:
You can use proportion to solve this.
[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]
Please answerrrrrr I I’m horrible at this
Answer:
Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test
Solve 2x^2+8x-1=0 can someone type this "correctly" in photo math for me please?
Answer:
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
X
16
20
Answer:
x = 58.47
Step-by-step explanation:
Use SOH CAH TOA
Sin(16) = 20/x
x = 58.47
HELPPPPPPPPPPPPPPPPP
Answer: We can't see the picture
Step-by-step explanation:
Which of the following best classifies a quadrilateral with coordinates A(2, 6), B(5, 1), C(10, 4), and D(7, 9)?
Rectangle
Parallelogram
Rhombus
Square
Answer:
Square
Step-by-step explanation:
I took the flvs test, and I actually looked on course hero (a trusted site) and found it was square, then worked the problem out and found out it was actually a square.
Quadrilateral is a polygon with four sides. The specified quadrilateral falls in the category shown by: Option
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
What is a rhombus?Its a parallelogram but all sides of same length. Its diagonals are perpendicular bisector of each other, but might not be equal.
What is a square?That rectangle whose all sides are equal is called a square.
A square has its diagonals perpendicular bisector of each other and are of same length. (this is actually a characteristic property, which means that if a quadrilateral has its diagonals equal and perpendicular, then it is a square for sure).
A square is always a rectangle, parallelogram, a rhombus and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square or a rhombus is a square).
What is the distance between two points ( p,q) and (x,y)?The shortest distance(straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2 }[/tex](in units)
How to find if two lines are perpendicular to each other?If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a
For the given case, the coordinates of the vertices of the quadrilateral are: A(2, 6), B(5, 1), C(10, 4), and D(7, 9)
The diagonals are AC and BD.
Slope of AC = [tex]m_{AC} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4-6}{10-2} = -1/4[/tex]
Slope of BD = [tex]m_{BD} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{9-1}{7-5} = 4[/tex]
It is visible that AC and BD's slope are negative reciprocal of each other. Thus, they are perpendicular to each other. Thus, the quadrilateral is either a square or Rhombus
Now, finding lengths of the diagonals:
[tex]|AC| = \sqrt{(4-6)^2 + (10-2)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]
[tex]|BD| = \sqrt{(7-5)^2 + (9-1)^2 } = \sqrt{4 + 64} = \sqrt{68}[/tex]
Thus, their lengths are also same,
This is why, the considered quadrilateral is a square.
Learn more about square here:
https://brainly.com/question/5426789
Solve the system by substitution 10x-2y=-16 and y=3x
Answer:
x=4
Step-by-step explanation:
10x- 2(3x)=-16
10x-6x=16
4x=16
x=16/4=4
Please someone help me with this
Answer:
Looks like at (3,21) the graph intersects, meaning both values are equal to one another.
Fraction help for math class help. Simplify
Answer:
7 13/20
Step-by-step explanation:
Answer:
7 13/20
Step-by-step explanation:
add whole numbers add fraction parts
3+4=7
2/5=8/20
1/4=5/20
8/20+5/20=13/20
7+13/20=7 13/20
Mientras que en variables discretas se utiliza la función de probabilidad, en distribuciones continuas se utiliza la función de densidad., verdadero o falso?
Answer:
Answer: FIRST OPTION
Step-by-step explanation:
The missing picture is attached.
By definition, given a Quadratic equation in the form:
Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.
The Quadratic Formula is the following:
In this case, the exercise gives you this Quadratic equation:
You can identify that the numerical coefficients are:
Therefore, you can substitute values into the Quadratic formula shown above:
You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.