Fathi will need 12 sheets of paper to print a 48 page PDF document by printing two pages on each side of the paper. The total page count is halved twice, once for each side of a sheet and again for each pages printed per side.
Explanation:Fathi has a PDF document that is 48 pages long and he wants to print it in a way that saves paper. This involves printing two pages on each side of a sheet of paper and then using both sides of the sheet. To find out how many sheets he will need, we can start by halving the total page count because printing two pages on each side means we effectively halve the number of pages. So, 48÷2 equals 24 'effective' pages. Then, because he's printing on both sides of each sheet, we halve that number again, giving us 24÷2 equal 12 sheets of paper. So Fathi will need 12 sheets of paper to print his 48-page document.
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Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is__ . Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be__ .
Answer:
25,35
Step-by-step explanation:
Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting.
There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,
n = 5 x 5 = 25
Therefore, the sample size for the compound event is equal to 25.
Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.
n = 6 x 6 = 36
Hence, the sample size of this picking process is 36.
Tina Avallone and her husband are buying a $219,000 home. Their annual housing expenses are: mortgage payments, $15,400; real estate taxes, $3,600; annual homeowner’s insurance premium, $1,895; maintenance on the home, $3,200; and utilities, $3,980. The lost interest on the down payment is $1,001 and the tax savings is $1,976. What is their average monthly expense?
Answer:
the answer is actually is $2,258.33
Step-by-step explanation:
Gillian earns $7.50 an hour babysitting on the weekends.Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday.How much did Gillian earn
Total hours= 2.2+3.5=5.7
Total earned = 5.7 x $7.50= $42.75
Break down each of these numbers into prime factors: 8, 45, 50, 150, 256, 500.
Plz help me, plz!!! I have to turn it in tommorrow!
Answer question to get brain
what is the value of the digit 5 in the number 75
The value of the digit 5 in the number 75 is 5. This is because in the number 75, 5 is in the ones place and thus represents 5.
Explanation:The value of the digit 5 in the number 75 is actually 5 itself. In any two-digit number like 75, the place values are tens and ones. The first digit represents the tens place and the second represents the ones place. Therefore, in 75, the digit 7 represents 70 (as it is in the tens place) and the digit 5 represents 5 (as it is in the ones place). Hence, the value of the digit 5 in the number 75 is 5.
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0.55555555555 As a fraction
Answer:
11/20
Step-by-step explanation:
What is the remainder when (x^4+36) is divided by (x^2-8)
Answer:
The remainder is 100.
Step-by-step explanation:
The divisor is [tex]x^2-8[/tex].
Dividend is [tex]x^4+36[/tex].
We have to find the remainder of
[tex]\frac{x^4+36}{x^2-8}[/tex]
It can be written as
[tex]\frac{x^4+36}{x^2-8}=\frac{x^4-64+64+36}{x^2-8}[/tex]
[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)+100}{x^2-8}[/tex]
[tex]\frac{x^4+36}{x^2-8}=\frac{(x^4-64)}{x^2-8}+\frac{100}{x^2-8}[/tex]
[tex]\frac{x^4+36}{x^2-8}=\frac{(x^2-8)(x^2+8)}{x^2-8}+\frac{100}{x^2-8}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]\frac{x^4+36}{x^2-8}=x^2+8+\frac{100}{x^2-8}[/tex]
Therefore the remainder is 100.
What's the 7 number ling
How many two-digit numbers satisfy the following property: the last digit (units digit ) of the
square of the two-digit number is 8?
Write this number in expanded form 73,489
Which of the following side measurements could make an equilateral triangle and isosceles triangle?
A.12, 12, 14
B. 4, 5, 6
C. 2, 2, 2
D. 2, 2, 4
Answer:2,2,2
Step-by-step explanation: I just took the test and got it right.
Does it matter which way you subtract the values when finding distance explain?
No, as long as you remember that distance is awlays zero or positive.
Solve the equation. X/8+12=16
Answer x= 32
Imagine math
please Help me
13. - 9/25
Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.
x − 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06
tax gets added to the price of the camera
so the equation is:
x + 0.07x = 45; x = $42.06
Find the coordinates of P so that P partitions the segment AB in the ratio 1:1 if A(13,1)A(13,1) and B(−5,−3)B(−5,−3)
The coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1). The calculation is done using the segment partition formula.
Explanation:To solve this problem, we use the formula for finding the point that divides a line segment into a given ratio. The formula is P(x, y) = ((x1*m2 + x2*m1)/(m1+m2), (y1*m2 + y2*m1)/(m1+m2)). Here, points A and B are (13,1) and (-5,-3) respectively, and the ratio m1:m2 is 1:1.
So applying the formula, we have P(x, y) = ((13*1 + -5*1) / (1+1), (1*1 + -3*1) / (1+1)) = (8/2, -2/2) = (4, -1).
So, the coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1).
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To find the coordinates of point P that bisects the segment AB in the ratio 1:1, we use the midpoint formula. Substituting the values of points A(13,1) and B(-5,-3) into the formula gives us P(4,-1).
Explanation:The student wants to find the coordinates of point P that would bisect the line segment AB in a 1:1 ratio. Since the ratio is 1:1, point P is the midpoint of the segment. To find the coordinates of the midpoint P, we need to calculate the average of the x-coordinates and the y-coordinates of points A and B.
Using the formula of a midpoint, M(x, y) = [ (x1+x2)/2 , (y1+y2)/2 ], let's substitute the coordinates of points A(13,1) and B(-5,-3).
P(x, y) = [ (13-5)/2 , (1-3)/2 ]
Therefore, the coordinates of point P that partitions the segment AB in the ratio 1:1 is P(4, -1).
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900 is 1/10 of what
Evaluate cos(tan^-1 0)
Answer:
[tex]cos(tan^{-1}(0))=1[/tex]
Step-by-step explanation:
Evaluate cos(tan^-1 0)
[tex]cos(tan^{-1}(0))[/tex]
We know that tan(0)=0
tan (0 degree)=0
[tex]tan^{-1}(0)=0[/tex]
Replace it in our problem
[tex]cos(tan^{-1}(0))[/tex]
[tex]cos(0)[/tex]
At 0 degree the cos value is 1
So co(0)=1
[tex]cos(tan^{-1}(0))=1[/tex]
Answer:
the correct answer is 1
April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how she could do it?
6 × 42 = 42 × 6
6 × (40 + 2) = (6 × 40) + 2
(6 × 42) × 1 = 6 × (42 × 1)
6 × (40 + 2) = (6 × 40) + (6 × 2)
Final answer:
To multiply 6 and 42 using the distributive property, you break down 42 into 40 and 2, then multiply each part by 6 and add them together to get 252.
Explanation:
The distributive property in mathematics allows us to multiply a sum by multiplying each addend separately and then adding the products. April wants to multiply 6 by 42 using the distributive property. The correct way to do this using the distributive property is to break down 42 into 40 and 2, then multiply each by 6 and add the results. Therefore, the correct number sentence using the distributive property is:
6 × (40 + 2) = (6 × 40) + (6 × 2)
This simplifies to:
(6 × 40) + (6 × 2) = 240 + 12 = 252
So, 6 × 42 equals 252 when applied through distributive property.
A phane takes off at an angle of elevation of 15 ° and travels in a straight line for 3,000 meters. What is the height of plane above the ground at this instant ?
Final answer:
The height of the plane above the ground after traveling 3,000 meters at a 15° angle of elevation is approximately 776.4 meters. This is calculated using the sine function: height = 3,000 m × sin(15°).
Explanation:
To find the height of the plane above the ground after taking off at an angle of elevation of 15° and traveling for 3,000 meters, we can use trigonometric functions. Specifically, the sine function relates the opposite side of a right-angled triangle (in this case, the height above ground) to the hypotenuse (the distance traveled by the plane).
The sine of an angle in a right triangle is equal to the length of the opposite side divided by the length of the hypotenuse. The formula is:
height = hypotenuse × sin(angle)
Here, the hypotenuse is the distance traveled by the plane (3,000 m), and the angle is 15°. Thus, the calculation would be:
height = 3,000 m × sin(15°)
We can calculate the sine of 15° using a calculator.
height = 3,000 m × 0.2588 (approximately)
height = 776.4 m (approximately)
Therefore, the plane is approximately 776.4 meters above the ground.
Help! I've been struggled on this for a loooong time!!
(I NEED THIS ASAP PLEASE)Jermaine knows that QRS and FGH each have two sides that are 9 mm long. What statement best describes the two triangles?
1)The two triangles are congruent because there are two pairs of congruent corresponding sides.
2)The two triangles are congruent because both triangles are isosceles with 9 mm sides.
3)The two triangles may be congruent, but additional measurements are needed.
4)The two triangles may be congruent, but additional information is needed about the orientation of the figures.
Answer:
(C)The two triangles may be congruent, but additional measurements are needed.
Step-by-step explanation:
It is given that QRS and FGH each have two sides that are 9 mm long that is QR=QS=9mm and FG=FH=9mm.
Thus, both the triangles that are QRS and FGH becomes the isosceles triangles.
Now, in order to prove that ΔQRS≅ΔFGH, we require more measurements as congruency can be proved only by SAS, SSS, ASA or AAA that is by using all the three sides of triangle or by using two sides one angle or by using two angles and one side or by using all the three angles.
Therefore, we need remaining side or angle in order to prove that ΔQRS is congruent to ΔFGH.
Hence, option (C) is correct.
How many intersections are there of the graphs of the equations below? 1/2x + 5y = 6 3x + 30y = 36 none one two infinitely many
Answer:
D infinitely many
Step-by-step explanation:
They lines never cross
The screen on Lawrence's new phone is 3.15 centimeters long.What mixed number represents the lenght of the phone screen?
Maria is buying new carpet for her bedroom and her bedroom is the shape square in each side is 12 feet what is exponetial expression to find out how much carpet she needs
To find out how much carpet Maria needs for her square-shaped bedroom with each side measuring 12 feet, we can calculate the area of the room by using the exponential expression 12².
Explanation:To find out how much carpet Maria needs for her square-shaped bedroom, we need to calculate the area of the room. Since each side of the square is 12 feet, we can use an exponential expression to find the area. The exponential expression is 12², which simplifies to 144 square feet.
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a cube is a three-dimensional solid with a square faces find the total surface area of a cube whose edges are each five feet in length
an equilateral triangle has an altitude of 2√3in. and a perimeter of 12 in. what is the area of the triangle?
manny brought 2 1/2 cakes to the party, but 3/4 of those went uneaten. How much cake was not eaten?
The value of 7 in 503,497 is what times the value of 7 in 26,475?