The total number of pieces in the puzzle’s is 3,750 pieces.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
we have,
3 puzzle having 1250 pieces in each.
So, the total number of pieces are
= 1250 x 3
= 3,750 pieces
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DEF is A dilatation of ABC by scale factor of 1/3
I am pretty sure the answer would be (a)
Which is a true statement about any two cords that are the same distance from the center of a circle
Answer:
Probably that they are both the same length!
Answer:
they are congruent
Step-by-step explanation:
The reflection of a Quadrant II point is located in Quadrant I. Assuming no error was made, what kind of reflection occurred?
A reflection across the x-axis
A reflection across the y-axis
A reflection across both axes
Answer:
A reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (-x, y)
A point in the second quadrant (- x, y)
Under reflection in the y- axis is (x, y) ← point in first quadrant
Answer:
A reflection across the y-axis.
Step-by-step explanation:
If it was across the x-axis, the point would have gone into Quadrant III.
The y-axis is vertical, and it was moved into Quadrant I from Quadrant II making it a vertical reflection which is a reflection from the y-axis.
A cruise ship can cover and 19 nautical miles in 304 minutes. How many nautical miles will travel in 240 minutes?
Answer:
We can go 15 nautical miles
Step-by-step explanation:
We can use a ratio to solve. Put the number of nautical miles over the minutes
19 miles x miles
----------- = ------------- --
304 minutes 240 minutes
Using cross products
19*240 = 304x
4560=304x
Divide each side by 304
4560/304 = 304x/304
15=x
We can go 15 nautical miles
A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm
Volume of tissue box with 17 cm height and 8 cm side length base is 1088 cubic centimeters.
To find the volume of the tissue box, you can use the formula for the volume of a rectangular prism:
Volume = Base Area × Height
Since the base of the tissue box is a square, you can find the area of the base by squaring the side length:
Base Area = Side Length^2
Then, you multiply the base area by the height of the tissue box:
Volume = Base Area × Height
Let's plug in the values:
Side Length = 8 cm
Height = 17 cm
First, find the base area:
Base Area = 8 cm × 8 cm = 64 cm²
Then, calculate the volume:
Volume = 64 cm² × 17 cm = 1088 cm³
So, the volume of the tissue box is 1088 cubic centimeters.
The complete question is here:
A tissue box that has a height of 17 cm and that has a square base with a side length of 8 cm. What is the volume of a box of tissue?
Find the area of the irregular figure in the diagram.
A) 12 units2
B) 14 units2
C) 15 units2
D) 16 units2
Answer:
C
Step-by-step explanation:
You count the boxes lol
Answer: C) 15 units 2
Step-by-step explanation: Count the number of squares! It is super easy!
One week, a cake shop sold 45 pineapple cakes and 62 chocolate cakes on the weekdays and 55 pineapple cakes and 79 chocolate cakes over the weekend. Total sales were $3,520 on the weekdays and $4,415 over the weekend. Form a linear system representing this data and create a matrix.
The determinant of the matrix for the pineapple cake is:
a. $2850 b. $3420 c. $4350 d. $4625
The determinant of the matrix for the chocolate cake is:
a. $4350 b. $4625 c. $5075 d. $5225
Answer:
The determinant of the matrix for the pineapple cake is $4350 ⇒ c
The determinant of the matrix for the chocolate cake is $5075 ⇒ c
Step-by-step explanation:
* Look to the attached file
Which set of measurements could be the side lengths of a triangle? please help!
A)3cm 3cm 3cm
B)4cm 8cm 13cm
C)5cm 9cm 14cm
D)6cm 7cm 8cm
3)7cm 7cm 10cm
All of them could be as A would be an equilateral B,C,D would be irregular triangles and 3 would be an Isosceles triangle but if you had to go with one it would be A
Answer: the answer is going to be A like other guy said was true
Step-by-step explanation: A
Systems of equations:
3x-5y=8
2x+5y=22
3x-5y=8 2x+5y=22
Solve second equation for x; first subtract 5y from each side.
2x=-5y+22 (Divide by 2)
x=-5/2y+11 (Substitute into x into the first equation)
3 (-5/2y+11)-5y=8 (Simplify )
-15/2y +33-5y=8 (Combine like terms)
-25/2y+ 33=8 -25/2y=-25 (Divide each side by -25)
1/2y=1 y=2 Therefore 3x-5(2)=8 3x-10=8 3x=18 x=6
x=6, y=2
- Hope this helps!
Danielle xo
What is 271,403 rounded to the nearest hundred thousand?
Answer:
300,000
Step-by-step explanation:
Answer:
300,000 is the nearest **hundred thousand.
Step-by-step explanation:
Read as nearest thousand lol.
the graph of f(x), shown below, has the same shape as the graph of G(x)=x^4-x^2, which contains the point (0,0) Which of the following is the equation of F(x)
Answer: Option B
[tex]F (x) = x ^ 4-x ^ 2 + 4[/tex]
Step-by-step explanation:
We have the function [tex]G (x) = x ^ 4-x ^ 2[/tex] and we know that it contains the point (0,0). That is, it cuts the y axis and y = 0
Then the graph of F(x) is shown in the image and we know that it is a transformation of F(x).
The function F(x) cuts the y axis and y = 4.
For this reason we can conclude that the function F(x) is the function G(x) displaced 4 units upwards.
The transformation that shifts the graph of a function k units upwards is:
[tex]F (x) = G (x) + k[/tex]
Where [tex]k> 0[/tex].
In this case k = 4. Therefore:
[tex]F (x) = G (x) +4\\\\F (x) = x ^ 4-x ^ 2 + 4[/tex]
The answer is Option B
Type the correct answer in the box.
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid but inside the prism is
cubic centimeters.
Answer:
250 cubic cm
Step-by-step explanation:
First step is to measure the volume of the rectangular prism... which is easy... it's the width * length * height. Since we have a square base, the width and length are the same: 5 cm. The volume is then: 5 * 5* 12 = 300 cubic cm.
The volume of a pyramid is obtained by the following formula:
V = (1/3) * base_area * height
We have the base area (5 * 5 = 25) and we have the height: 6 cm (half of 12 cm).
So, the volume of the pyramid is:
V = (1/3) * 25 * 6 = (1/3) * 150 = 50 cubic cm
The volume inside the prism but OUTSIDE the pyramid is then the volume of the prism (300 cubic cm) - the volume of the pyramid (50 cubic cm), so 250 cubic cm.
Please help with math problem
Answer:
[tex]a_0 = -8[/tex]
[tex]a_1=-6[/tex]
[tex]x^2 +y^2 -8x - 6y = 0[/tex]
Step-by-step explanation:
The equation of the circle has the following form
[tex]x^2 + y^2 + a_0x + a_1y=0[/tex]
The equation of the circle has the following form
We know that the circle goes through the following points
(1, 7)
(8, 6)
(7, -1).
Then we substitute the values of x and y in the equation
For (1, 7)
[tex](1)^2 + (7)^2 + a_0(1) + a_1(7)=0[/tex]
[tex]1 + 49 + a_0 + 7a_1=0[/tex]
[tex]a_0 + 7a_1=-50[/tex] (1)
For (8, 6)
[tex](8)^2 + (6)^2 + a_0(8) + a_1(6)=0[/tex]
[tex]64 + 36 + 8a_0 + 6a_1=0[/tex]
[tex]8a_0 + 6a_1= -100[/tex] (2)
With these equations is enough to solve the system
[tex]a_0 + 7a_1=-50[/tex] (1)
[tex]8a_0 + 6a_1= -100[/tex] (2)
Multiply the equation (1) by -8 and add it to the equation (2)
[tex]-8a_0 - 56a_1=400[/tex] (1)
[tex]8a_0 + 6a_1= -100[/tex] (2)
-----------------------------------------------------
[tex]-50a_1 = 300\\\\a_1 = -6[/tex]
Then
[tex]a_0 + 7(-6) = -50\\\\a_0 = -50+42\\\\a_0=-8[/tex]
Finally the equation is:
[tex]x^2 +y^2 -8x - 6y = 0[/tex]
During a sales trip, Mr. Jones drove
15 miles east from Brownsville to
Carlton. Then he drove several more
miles east from Carlton to Sun City.
The distance from Brownsville to Sun
City is 35 miles. Write and solve an
addition equation to find how many
miles it is from Carlton to Sun City.
Hello There!
EQUATION 15+M=35M = 20 MILES
Miss Jenkins the school cafeteria manager knows that 10 out of every 65 students order pizza for lunch there are 416 students at her school at this rate how many students will eat pizza in Miss Jenkins School?
If there are 10 orders for every 65 students, and there are 416 students, the total amount of orders would be:
(416/65) x 10
= 64
Therefore, 64 students will order/eat pizza in Miss Jenkins School
The answer is 64 students.
Hope this helps!
what are the two intercepts of this graph?
Answer:(0,-4) , (0,0)
Step-by-step explanation:
It,s where the line intercepts on the graph on the x and y axis
Answer:
The intercepts are where the line passes either the x-axis or y-axis. So depending on which intercepts you're looking for, the intercepts on the x-intercepts (x-axis) are (-4,0) and (0,0). the y-intercepts (y-axis) is (0,0).
Step-by-step explanation:
A gym membership cost $19 each month. If Miss Lacey joins the gym for one year, will she pay more or less than $190? Explain your answer
Answer:
She will pay more
Step-by-step explanation:
because if you multiply 19x12 you get 228 which is more than 190.
Miss Lacey will pay more than $190 for a year of gym membership because 12 months multiplied by $19 per month equals $228, which is greater than $190.
Explanation:To determine if Miss Lacey will pay more or less than $190 for a year of gym membership, we need to calculate the total cost for one year. Since a year has 12 months, and the membership cost is $19 per month, we multiply the monthly cost by the number of months in a year:
Annual cost = $19 per month × 12 months
Therefore, the annual cost is:
$19 × 12 = $228
Comparing the annual cost to $190, we find that Miss Lacey will pay more than $190 for a year of gym membership, since $228 is greater than $190. This calculation exemplifies a straightforward mathematical operation involving multiplication and comparison.
This data set represents the number of cups of coffee sold in a café between 8 a.m. and 10 a.m. every day for 14 days.
{10, 9, 6, 12, 4, 6, 7, 8, 15, 14, 12, 9, 10, 5}.
The difference of the values of the first and third quartiles of the data set is
.
Answer:
6
Step-by-step explanation:
The difference between the third quartile and first quartile is known as interquartile range.
The upper quartile is the median of upper half of the data.
The lower quartile is the median of lower half of the data.
Let's arrange in least to greatest:
4,5,6,6,7,8,9,9,10,10,12,12,14,15
The upper half of the data is 9,10,10,12,12,14,15
The median is the 4th number here, so 12. Thus, third quartile = 12
The lower half of the data is 4,5,6,6,7,8,9
The median is the 4th number here, so 6. Thus, first quartile = 6
Interquartile range (difference in third quartile and first quartile) = 12 - 6 = 6
(1) The Yearling is one of my favorite novels.(2) It is by Marjorie Kinnan Rawlings. (3) It is about a yearling, which is a young deer, or fawn. (4) It takes place in Florida during the 1870s. (5) It has an interesting plot. (6) A boy named Jody finds the yearling during a hunting trip. (7) Jody’s father, Penny, had shot the fawn’s mother without realizing that it had a baby. (8) Jody feels sorry for the orphan and brings it to the family farm. (9) Jody loves his pet, but his parents start to hate it after it begins eating the family’s crops. (10) Penny finally orders Jody to get rid of the deer because it is destructive, but Jody refuses to obey his father.
Which is the most effective way to vary the sentences in the passage?
Start sentences with different parts of speech.
Lengthen sentence 10 by adding detail to it.
Combine sentences 8 and 9.
Yea u have to do that the most effective is the 10 bc penny is right
The Yearling, a novel by Marjorie Kinnan Rawlings, tells of Jody's bond with a deer despite family conflict over crop damage.
Combining sentences 8 and 9:
(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.
Starting sentences with different parts of speech:
(1) One of my favorite novels is The Yearling.
(2) By Marjorie Kinnan Rawlings, it captures my imagination.
(3) About a yearling, which is a young deer or fawn, it unfolds.
(4) Taking place in Florida during the 1870s, it immerses readers in its setting.
(5) An interesting plot it possesses.
(6) During a hunting trip, a boy named Jody finds the yearling.
(7) Jody’s father, Penny, had shot the fawn’s mother without realizing that it had a baby.
(8/9) Jody feels sorry for the orphan and brings it to the family farm, but his parents start to hate it after it begins eating the family’s crops.
(10) Finally, Penny orders Jody to get rid of the deer because it is destructive, but Jody refuses to obey his father.
Lengthening sentence 10 by adding detail:
(10) Finally, Penny, frustrated by the relentless destruction wreaked by the deer on their precious crops, sternly orders Jody to get rid of the deer, demanding obedience from his son. However, defying his father's command, Jody adamantly refuses to part ways with his beloved companion.
Kevin is making a set of candles to give as a gift. The first candle is a triangular prism with a height of 17 centimeters. The base is a triangle with two angles measuring 90 degrees and 65 degrees. What is the measure of the third angle? Show work
Answer:
The measure of the third angle is 25°
Step-by-step explanation:
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
Let
x----> the measure of the third angle
90°+65°+x=180°
Solve for x
155°+x=180°
x=180°-155°
x=25°
Given y = (2x + 3)^2, choose the standard form of
the given quadratic equation.
Answer:
(2x+3)^2
=(2x+3)(2x+3)
=(2x)(2x)+(2x)(3)+(3)(2x)+(3)(3)
=4x^2+6x+6x+9
=4x^2+12x+9
The standard form of the given quadratic equation y = (2x + 3)^2 is y = 4x^2 + 12x + 9. This is achieved by applying the square of a binomial rule and simplifying.
Explanation:The given equation is y = (2x + 3)^2. This is in the form of a squared binomial, which can be expanded and simplified into a standard form of a quadratic equation. The standard form of a quadratic equation is y=ax^2 + bx + c.
To convert the given equation into standard form, we need to apply the square of a binomial rule, which states that (A + B)^2 = A^2 + 2AB + B^2. Here, A = 2x and B = 3.
So, we can rewrite the equation as follows: y = (2x)^2 + 2*2x*3 + 3^2 = 4x^2 + 12x + 9. Therefore, the standard form of the given quadratic equation is y = 4x^2 + 12x + 9.
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17) A marble paperweight shaped like a pyramid weighs 0.15 lbs. How much does a similarly shaped
marble paperweight weigh if each dimension is three times as large?
Answer:
The weight of the larger marble paperweight is 4.05 lb
Step-by-step explanation:
we know that
If two solids are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube
Remember that the scale factor is the ratio between corresponding sides
Let
z ------> the scale factor
x -----> the weight of the larger marble paperweight
y -----> the weight of the original marble paperweight
[tex]z^{3} =\frac{x}{y}[/tex]
In this problem we have
[tex]z=3[/tex]
[tex]y=0.15\ lb[/tex]
substitute and solve for x
[tex]3^{3} =\frac{x}{0.15}[/tex]
[tex]x=(27)(0.15)=4.05\ lb[/tex]
therefore
The weight of the larger marble paperweight is 4.05 lb
which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2
Answer:
Option C.
The zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
we have
[tex]g(x)=x^{2}-576[/tex]
we know that
To find the zeros, equate the equation to zero
[tex]x^{2}-576=0[/tex]
[tex]x^{2}=576[/tex]
square root both sides
[tex]x=(+/-)24[/tex]
therefore
[tex]0=(x+24)(x-24)[/tex]
Answer:
C. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
For the girl to lift this rock, she must push down with a force _____.
A. equal to the weight of the rock
B. less than the weight of the rock
C. greater than the weight of the rock
Answer:
B.
Step-by-step explanation:
B. The girl would have to use less force because she is using a simple machine, or a lever. The lever makes it easier to lift the rock because the rock is closer to the fulcrum.
5x^4+10x^3-175x^2 multi-step factoring
Find the Greatest Common Factor (GCF)
GCF = 5x^2
Factor out the GCF. (Write the GCF first. Then in parenthesis, divide each term by the GCF)
5x^2(5x^4/5x^2 + 10x^3/5x^2 + -175x^2/5x^2)
Simplify each term in parenthesis
5x^2(x^2 + 2x - 35)
Factor x^2 + 2x - 35
= 5x^2(x - 5)(x + 7)
When the wheels of a bicycle rotate 30 times the bicycle moves a distance of 175 feet what is the rate
Answer: 5 5/6 feet per rotation
Step-by-step explanation:
d/t=175/30=5 5/6
Select the correct answer. What is the y-intercept of y = 7? A. (0, 7) B. (7, 0) C. (7, 7) D. (-7, 7) PLZ HElp
Answer:
A. (0, 7)
Step-by-step explanation:
y=7
All values of y are equal to 7.
When x = 0, y = 7
The y intercept is 7
(0,7)
What is the linear function equation represented by the graph?
Answer:
y = (3/5)x + 3
Step-by-step explanation:
You can see immediately that the y-intercept is (0, 3).
As we go right from the point (-5, 0) to the point (0, 3), x increases by 5 and y increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Starting with the generic y = mx + b, we get y = (3/5)x + 3.
Answer:
Y=3/2x-3
Step-by-step explanation:
3/2 is the slope. Remember, rise/run. so the rise is 3 and the run is 2. so up three since its positive and right 2 cuz its positive. and the -3 is the y inercept. hope this helps love :)
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of
z0 = 1 + 2i.
a.
5 + 2i, 13 + 2i, 29 + 2i
c.
5 - 2i, 13 - 2i, 29 - 2i
b.
3 + 2i, 17 + 2i, 23 + 2i
d.
3 - 2i, 17 - 2i, 23 - 2i
Please select the best answer from the choices provided
A
B
C
D
Answer:
a. 5 + 2i, 13 + 2i, 29 + 2i
Step-by-step explanation:
We'll use the formula f(z) = 2z + (3 - 2i) for each iteration. The output of the first iteration will be come the input of the second iteration, and so on.
So, we start with z0 = 1 + 2i and we plug that into the base equation:
z0 = 1 + 2i ==> f(z) = 2(1 + 2i) + 3 - 2i = 2 + 4i + 3 - 2i = 5 + 2i
z1 = 5 + 2i ==> f(z) = 2(5 + 2i) + 3 - 2i = 10 + 4i + 3 - 2i = 13 + 2i
z2 = 13 + 2i ==> f(z) = 2(13 + 2i) + 3 - 2i = 26 + 4i + 3 - 2i = 29 + 2i
z3 = 29 + 2i
Answer:a
Step-by-step explanation:
Sarah drove 228 miles using 9.5 gallons of gas. how many more gallons will she use if she goes 336 more miles?
Answer:
14 gallons
Step-by-step explanation:
First determine the amount of miles per gallon her car will go by dividing the amount of miles by the amount of gallons.
228/9.5 = 24 miles per gallon
This means on a trip of 336 miles she will use 14 gallons.
336/24= 14 gallons