Final answer:
It would have taken Janet about 9.7536 pages to read..
Explanation:
To determine Janet's reading progress, her reading speed is multiplied by the duration she read. With a reading speed of 3.6 pages per minute, if Janet read for 2.71 minutes, the calculation is 3.6 multiplied by 2.71, resulting in 9.7536. Hence, Janet would have read approximately 9.7536 pages. This calculation showcases how the product of reading speed and time provides a quantitative measure of reading accomplishment. It's a straightforward way to estimate the amount of material covered within a specific timeframe, offering insights into reading efficiency and progress.
38) In quadrilateral RTWU below, RT - RU and TW - WU
Which, if any, of the following line segments are lines of
symmetry for this quadrilateral?
A) Only TU is a line of symmetry.
B) No line of symmetry is drawn,
C Both SV and TU are lines of symmetry,
D) Only SV is a line of symmetry.
Answer:
B) No line of symmetry is drawn,
Step-by-step explanation:
RW is the only line of symmetry. It in not drawn, and is not among the answer choices.
No line of symmetry is drawn.
What steps can be used To solve 6\7x+1/2=7/8
I'm guessing you mean (6/7)x+(1/2)=7/8
Subtract 1/2 (also 4/8) from both sides: (6/7)x=3/8
Divide both sides by 6/7: x=21/48=7/16
So x is 7/16
Hope this helped!
Simplify:
(x-y)/(x+y) - (x+y)/(x-y) =
Final answer:
The simplified form of the expression (x-y)/(x+y) - (x+y)/(x-y) is -4xy / (x²-y²).
Explanation:
To simplify the expression (x-y)/(x+y) - (x+y)/(x-y), we need to find a common denominator and then combine the terms.
The common denominator for the fractions is (x+y)(x-y), which is the product of both denominators and simplifies to x²-y² due to the difference of squares.
Let's go ahead and combine the fractions over this common denominator:
((x-y)² - (x+y)²) / (x²-y²)
Expanding the numerators gives:
(x² - 2xy + y²) - (x² + 2xy - y²) / (x²-y²)
Now, simplify by combining like terms:
(x² - x² - 2xy - 2xy + y² - y²) / (x²-y²)
Cancelling out the x² and y² terms, we are left with:
-4xy / (x²-y²)
Thus, the simplified form of the given expression is:
-4xy / (x²-y²)
A baker started out with 12 cups of flour. She had 9 1/4 cups of flour left after the first batch of batter she made. She had 6 1/2 cups of flour left after the second batch of batter she made. If she makes two more batches of batter, how many cups of flour will be left?
Answer:
First batch: 12 - 9 1/4 = 2 3/4 cups
Second batch: 9 1/4 - 6 1/2 = 2 3/4 cups
(2 batches)(2 3/4 cups per batch) =
2(11/4) = 11/2 = 5 1/2 cups
6 1/2 - 5 1/2 = 1 cup of flour left
11) Matthew goes hiking every 12 days and
swimming every 25 days. He did both kinds of
exercise today. How many days from now will he
go both hiking and swimming again?
Answer:
300
Step-by-step explanation:
12 and 25 have no common factors, so their least common multiple is their product:
12·25 = 300
Matthew will do both again in 300 days.
A cone has a volume of 33 cubic inches. If
a cylinder has the same height and the same
radius as the cone, what is the volume of the
cylinder?
Answer:
The volume of the cylinder is
[tex]V=99\ in^3[/tex]
Step-by-step explanation:
we know that
The volume of the cone is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
[tex]V=33\ in^3[/tex]
so
[tex]33=\frac{1}{3}\pi r^{2}h[/tex]
Multiply by 3 both sides
[tex]99=\pi r^{2}h[/tex] ----> equation A
Remember that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
The cylinder has the same height and the same radius as the cone
so
Equate the volume of cylinder to equation A
[tex]V=99\ in^3[/tex]
The volume of the cylinder is 99 cubic inches and this can be determined by using the formula of the volume of the cylinder and the volume of the cone.
Given :
A cone has a volume of 33 cubic inches. A cylinder has the same height and the same radius as the cone.The formula of the volume of a cone is given by:
[tex]\rm V = \dfrac{1}{3}\pi r^2h[/tex]
[tex]\rm 3V = \pi r^2h[/tex] --- (1)
The formula of the volume of the cylinder is given by:
[tex]\rm V' = \pi (r')^2 h'[/tex] --- (2)
According to the given data, the cylinder has the same height and the same radius as the cone. That is:
h' = h
r' = r
So, from equations (1) and (2):
V' = 3V
According to the given data, V = 33 cubic inches.
V' = 3(33)
V' = 99 cubic inches
So, the volume of the cylinder is 99 cubic inches.
For more information, refer to the link given below:
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Mother ordered 4 boxes of cupcakes for John's birthday party. As they had more guests than expected, mother ordered 2 more similar boxes of cupcakes. How many cupcakes did each box contain, if there were in total 108 cupcakes for John's birthday party?
Answer:
each box contained 18
Step-by-step explanation:
because 108 divided by the total number of boxes = 18
Final answer:
To determine how many cupcakes were in each of the 6 boxes for John's party with a total of 108 cupcakes, simply divide 108 by 6, resulting in 18 cupcakes per box.
Explanation:
The question asks us to determine how many cupcakes each box contained if there were a total of 108 cupcakes for John's birthday party, and 6 similar boxes were ordered in total. To find the answer, we divide the total number of cupcakes by the total number of boxes.
First, we know that the mother ordered 4 boxes initially and then ordered 2 more boxes, which gives us a total of 4 + 2 = 6 boxes. Then, we are given the total number of cupcakes, which is 108. To find out how many cupcakes each box contained, we divide the total number of cupcakes by the number of boxes:
108 cupcakes ÷ 6 boxes = 18 cupcakes per box
Therefore, each box contained 18 cupcakes.
Find the volume of this prism:
5 cm
4 cm
6 cm
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw EXAMPLE
put that into a formula.... and boom solved just comment on this for the answer
y and z are whole numbers. y<80 and z less than or equal to 70 work out the largest possible value of y+z
Final answer:
The largest possible value for y + z, with y < 80 and z ≤ 70, is 149, achieved by taking the maximum whole numbers within those limits: y = 79 and z = 70.
Explanation:
To find the largest possible value of y + z given that y is a whole number less than 80 and z is a whole number less than or equal to 70, we must choose the largest whole numbers that fit these conditions. For y, the largest whole number less than 80 is 79, and for z, the largest whole number less than or equal to 70 is 70 itself. Therefore, the largest possible value for y + z is 79 + 70.
The calculation is straightforward:
79 (maximum y) + 70 (maximum z) = 149
This is the largest sum of y + z based on the given conditions.
Find the quantity represented by each percent.
1. 46% of 340 gallons
2. 65% of 180 pounds
3. 75% of 72 hours
4. 120% of $590
5. 245% of 860 kilograms
Are the following like terms: 7x and 9x
Answer: Yes
Step-by-step explanation: 7x and 9x are called terms and the numbers in front of the variables, +7 and +9 are called coefficients.
Because the variables, x and x are identical, the two terms in this problem are called like terms so yes, 7x and 9x are like terms.
Please help.
For the first three months of 2005, the total eamings of the airline were $_____
Answer:
1st three months are January, February and March.
Add all values of each month together.
16+10=26
26-8=18
$18,000,000 in earnings
Step-by-step explanation:
The graph of a linear function is shown.
A coordinate plane with a straight line. The line starts at (negative 5, negative 1) and continues up and to the right passing through (0, 0) and (5, 1).
Which word describes the slope of the line?
positive
negative
zero
undefined
See picture for answer and explanation.
We can completely define a line equation by only knowing two points on the line, so we will use that to find our line's slope.
The slope is positive. (We will see that the slope is equal to 1/5).
The first general rule is that, if the line, readen from lest to right increases, then the slope is positive. (Here by the description we know that it increases).
But let's find the slope to see this.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use two of the given points to find the slope, I will use the first two: (-5, -1) and (0, 0)
We will get:
[tex]a = \frac{0 - (-1)}{0 - (-5)} = \frac{1}{5}[/tex]
So the slope is 1/5, which is positive.
Then the correct option is the first one.
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William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to have the same number of cans of each type of food. He uses all the cans.how much of each of this bigs will have and how much cans of fruitwill they have and how much cans of vegetables will they have
Answer:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Step-by-step explanation:
Given:
Number of fruits cans = 24
Number of veggies cans = 60
William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.
For this:
We have to find the GCF (greatest common factor) of 24 and 60.
GCF by listing out the factors method.
Factors of 24 : [tex]1,2,3,4,6,8,12,24[/tex]
Factors of 60 : [tex]1,2,3,4,5,6,10,12,15,20,30,60[/tex]
So,
The greatest common factor of [tex]24[/tex] and [tex]60[/tex] is [tex]12[/tex].
The number of bags William will used for equal distribution = [tex]12[/tex]
Now,
We have to distribute the veggies and fruits in equal number of cans to these [tex]12[/tex]bags.
Number of fruits cans used in each bag = [tex]\frac{24}{12} = 2[/tex]
Number of vegetables can used in each bag = [tex]\frac{60}{12} =5[/tex]
We can say that:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Final answer:
By computing the greatest common divisor (GCD) of 24 and 60, it is determined that William can create 12 equal bags with each bag having 2 cans of fruit and 5 cans of vegetables.
Explanation:
The student is asking how to divide 24 cans of fruit and 60 cans of vegetables into bags such that each bag contains the same number of cans without any leftovers. This requires finding the greatest common divisor (GCD) of 24 and 60, which is 12. Therefore, William can make 12 bags, with each bag containing 2 cans of fruit and 5 cans of vegetables.
You randomly draw a marble from a bag of marbles that contains 3 blue marbles, 4 green marbles, and 5 red marbles.
What is P(draw a blue marble)?
If necessary, round your answer to 2 decimal places.
Answer:
0.25
Step-by-step explanation:
number of trial = 12
probability of getting blue marbles = 3/12
0.25
The simple interest due on a six month loan of $2500 is $125. What is the monthly payment of the loan?
The monthly payment of the loan is =$ 437.5
Step-by-step explanation:
Given , the simple interest due on a six month loan of $2500 is $125.
Total amount he paid =$ (2500+125)
=$2625
The monthly payment of the loan is =$(2625÷6)
=$ 437.5
Which of the following are quadratic equations
(i) (P + 1) (P + 2) (P+4) (ii) (x + 2)(square)= 7
(iii) k +2/5 - 5 = 0 (iv) M(square)– 1 = 0
(v) (x – 3)(cube) + 4 = 0
Answer:
(ii) (x+2)²=7(iv) M²-1 = 0HOPE U UNDERSTOOD★THANKS★
ANY DOUBTS? COMMENT PLEASE
What is 3x 2/7 as a fraction
Answer: 3 2/7
Step-by-step explanation: Your answer would normally be 23/7. Just round and you should get 3 2/7. Also there is a fraction calculator online you could use, it shows you how to work out any problem dealing with fractions. Hope I have helped!
The value of 3 × 2/7 as a fraction is 6/7.
What is a fraction?A fraction describes some part of the total amount. Fractions are of two types one is a proper fraction and another is an improper fraction.
We know a fraction can be written as a form of p/q, where q ≠ 0.
p is the numerator and d is the denominator.
Given 3 × 2/7, we know 3 = 3/1 as every integer can be written as a rational number.
∴ 3/1 × 2/7
= 6/7.
We have to simply multiply the numerator with the numerator and the denominator with the denominator.
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Can someone plz help me with this I am in “confusion”.
Answers are 1. a = 32, b = 2, 3. c = 4, 4. x = -3, 5. y = -7, 6. z = -2, 7. m = -7, 8. n = -4, 9. s = -3, 10. r = 5, 11. t = 3, 12. p = 2, 13. x = 9, 14. w = 6, 15. g = 1.5, 16. v = -16, 17. b = -6, 18. h = -5, 19. k = -2.5, 20. d = -3.5, 21. r = -8, 22. z = -9, 23. x = -7, 24. y = 3.5, 25. y = 9, 26. w = 8.
Step-by-step explanation:
Step 1; To solve the given equations we keep the unknown variable on one side while the known numbers are taken to the other side. If both sides are negative the answer has a positive value while if one side is positive and one side is negative, the answer is negative.
Step 2; Solve
1. a = 9/3= 3,
2. b = 14/7 = 2,
3. c = 36/9 = 4,
4. x = -15/5 = -3,
5. y = 28/-4 = -7,
6. z = -16/8 = -2,
7. m = 28/-4 = -7,
8. n = 8/-2 = -4,
9. s = -21/7 = -3,
10. r = -25/-5 = 5,
11. t = -18/-6 = 3,
12. p = -18/-9 = 2,
13. x = 18/2 = 9,
14. w = 24/4 = 6,
15. g = 9/6 = 1.5,
16. v = -32/2 = -16,
17. b = -18/3 = -6,
18. h = -35/7 = -5,
19. k = 20/-8 = -2.5,
20. d = 14/-4 = -3.5,
21. r = -72/9 = -8,
22. z = 27/-3 = -9,
23. x = -35/5 = -7,
24. y = 28/8 = 3.5,
25. y = 81/9 = 9,
26. w = 16/2 = 8.
Solve by substitution:
2x+6y=16
3x-5y=-18
Answer:
Step-by-step explanation:
y= 16
x=15
Using the substitution method,
The value of x is -1 and y is 3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 8 is an equation.
We have,
2x + 6y = 16 _____(1)
3x - 5y = -18 ______(2)
From (1) we get,
2x = 16 - 6y
x = (16 - 6y)/2
Substituting in (2).
3x - 5y = -18
3 x (16 - 6y)/2 ) - 5y = -18
3 x (8 - 3y) - 5y = -18
24 - 9y - 5y = -18
24 + 18 = 9y + 5y
42 = 14y
y = 42/14
y = 3
And,
x = (16 - 6y)/2
x = (16 - 6 x 3) / 2
x = (16 - 18) / 2
x = -2/2
x = -1
Thus,
x = -1 and y = 3.
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A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
feet and the triangle base has a base of 12 feet. Find the height of the triangular base of the
prism.
Answer:
9 feet
Step-by-step explanation:
Given:
A prism with a triangular base has a volume of 432 cubic feet.
The height of the prism is 8.
The triangle base has a base of 12 feet.
Question asked:
The height of the triangular base of the prism = ?
solution:
Volume of triangular prism = [tex]Area of triangle \times height[/tex]
[tex]432 = Area of triangle \times8[/tex]
Dividing both side by 8
[tex]54 = Area of triangle[/tex]
[tex]54 =[/tex] [tex]\frac{1}{2} \times base \times height[/tex]
[tex]54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height[/tex]
Multiplying both side by 2
[tex]108 = 12 \times height[/tex]
Dividing both side by 12
[tex]9 = height[/tex]
Thus, height of the triangular base of the prism is 9
A Physician instructs a patient with an ulcer to start Tagamet HB (OTC) 200mg tablets BID PO For 14days.
How many tablets are needed to fill this RX?
Answer:
28
Step-by-step explanation:
2 pills for 14days=28 pills in total
% is the correct percentage conversion for 2/5
Answer:
%40
Step-by-step explanation:
Step 1: Divide 2/5
2/5 = 0.4
Step 2: Convert to Decimal by multiplying by 100
0.4 * 100 = %40
Answer: %40
Answer: 0.025%
Step-by-step explanation:
the rise and the run between each set of points
Answer:
The rise would be 4 the run would be 5.
Answer: Rise = 4, Run = 5
Step-by-step explanation:
Rise is how many it goes up
Run is how many is goes right
The dimensions of a rectangular prism are shown in the diagram below. Write an expression that represents the volume of the rectangular prism?
Hint: Aprism= Length x width x height
Answer:
[tex]V=(a^{4})(b^{6})\ units^3[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=LWH[/tex]
In this problem we have
[tex]L=ab^2\\W=ab^3\\H=a^2b[/tex]
substitute
[tex]V=(ab^2)(ab^3)(a^2b)[/tex]
Applying property of exponents
[tex]x^{m} x^{n}x^{r} =x^{m+n+r}[/tex]
[tex]V=(a^{4})(b^{6})\ units^3[/tex]
A single die is rolled twice. The 36 equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum is 4.
Answer:
1/12
Step-by-step explanation:
There are 3 ways to get two numbers whose sum is 4:
1 and 3, 2 and 2, and 3 and 1
So the probability is 3/36 = 1/12.
Elizabeth is using a sample to study American alligators. She plots the lengths of
their tails against their total lengths to find the relationship between the two
attributes. Which point is an outlier in this data set?
Answer:
point b
Step-by-step explanation:
i did it on imagine math
Answer:
point b is the correct answer
Step-by-step explanation:
cs it correct
Solve the system of equations.
x + 14y = 38
1
7
x + 2y = 5
What is the solution to the system of equations?
Answer:
C.
Step-by-step explanation:
Final answer:
To solve the system of equations x + 14y = 38 and x + 2y = 5, we used the elimination method to find x = -0.5 and y = 2.75.
Explanation:
Solving the System of Equations
The question requires solving a system of linear equations. The given equations are:
x + 14y = 38 (Equation 1)
x + 2y = 5 (Equation 2)
We can solve this system using the substitution method or elimination method. Let's use the elimination method:
Multiply Equation 2 by 7 to make the coefficient of x the same in both equations:
7x + 14y = 35 (Equation 3)
Subtract Equation 3 from Equation 1 to eliminate x:
(x + 14y) - (7x + 14y) = 38 - 35
-6x = 3
x = -0.5
Substitute x = -0.5 in Equation 2 to find y:
-0.5 + 2y = 5
2y = 5.5
y = 2.75
The solution to the system of equations is x = -0.5 and y = 2.75.
how to graph with these numbers?
Answer:
There is no numbers shown
Step-by-step explanation:
No numbers shown
Answer:
you don't have a pic to show me... what numbers...???
Step-by-step explanation:
BOI
This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and the height h = 6 cm? (Use π = 3.14 and round answer to the hundredths' place.)
208.81 square centimeters of aluminium are needed
Solution:
Given that,
Radius = 3.5 cm
Height = 6 cm
We have to find the square centimeters of aluminum needed
So we have to find the surface area of cylinder
The surface area of cylinder is given by formula:
[tex]A = 2 \pi r(h+r)[/tex]
Where "r" is the radius and "h" is the height of cylinder
Substituting the values we get,
[tex]A = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81[/tex]
Thus 208.81 square centimeters of aluminium are needed
The soda can requires approximately 208.51 square centimeters of aluminum.
To determine the amount of aluminum needed to make the soda can, we need to calculate the surface area of the cylinder. The formula for the surface area of a cylinder is:
Surface Area = 2πr(h + r)
Given the radius (r) = 3.5 cm and the height (h) = 6 cm, we substitute these values into the formula:
Surface Area = 2 * 3.14 * 3.5 * (6 + 3.5)
First, calculate the term inside the parentheses:
6 + 3.5 = 9.5
Next, multiply by the radius:
3.5 * 9.5 = 33.25
Finally, multiply by 2π:
2 * 3.14 * 33.25 ≈ 208.51
So, the total surface area of the soda can is approximately 208.51 square centimeters of aluminum.