One numer is 17 more than another number the sum of the two numbers is 25 find the numbers
One milliliter of blood contains approximately 5 million red blood cells, and one pint is about 473 milliliters. Create and solve an equation that can be used to find approximately how many red blood cells are in a pint of blood. Use scientific notation for the first box of the equation.
To find the approximate number of red blood cells in a pint of blood, multiply 5 million by 473.We get approximately 2.365 billion red blood cells
Explanation:To find the approximate number of red blood cells in a pint of blood, we can use the given information. One milliliter of blood contains approximately 5 million red blood cells. And one pint is about 473 milliliters. So, we can set up the equation:
Number of red blood cells in a pint = 5 million x 473
Using scientific notation for the first box of the equation:
Number of red blood cells in a pint = 5 x 106 x 473
Simplifying the equation, we get:
Number of red blood cells in a pint = 2.365 x 109 or approximately 2.365 billion red blood cells
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What is 14.7 times 11.361 showing your work ?
Answer: Hello mate!
this multiplication can be hard because of the numbers after the decimal point. You could use the next trick.
14.7*10 = 147 and 11.361*1000 = 11361
now you could do the multiplication without concerning about the decimals, and afther that divide it back by 10*1000.
and [tex]14.7*11.361 = \frac{147}{10}*\frac{11361}{1000} = \frac{147*11361}{10*1000} = \frac{147*11361}{10000} = \frac{1670067}{10000}[/tex]
now you need to divide by 10000, that is equivalent to move the decimal point by 4 ) places to the left.
1670067/10000 = 167.0067
What divided by 2 equals -12
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round to nearest tenth
6/15=2/c need to solve
Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy = 9, x = 0, y = 9, y = 11
The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is found using cylindrical shells, resulting in a total volume of 36π cubic units.
Explanation:To find the volume of the solid obtained by rotating the region bounded by the curves xy = 9, x = 0, y = 9, and y = 11 about the x-axis, we will utilize the method of cylindrical shells. The curves define a region in the xy-plane which, when rotated about the x-axis, forms a solid with varying radii. To apply the method, we first need to express the variable x in terms of y from xy = 9 to obtain x = 9/y.
Next, the volume of a representative cylindrical shell with thickness dy and height x = 9/y is given by the circumference of the shell (2πy) times the height (9/y) times the thickness (dy). This leads to the volume element dV = 2πy(9/y)dy = 18πdy. Integrating this volume element with respect to y between the limits 9 and 11 yields the total volume.
Using the integral calculus, the volume V is:
V = ∫911 18π dy = 18π [y]∫911 = 18π(11 - 9) = 36π cubic units.
Thus, the volume of the cylinder is 36π cubic units.
Select the option for "?" that continues the pattern in each question.
(1.) 3, -6, 12, 4, 20, ?
(2.) 7, 16, 8, 27, 9, ?
(3.) 2, 7, 26, 101, 400, ?
(4.) 7, 21, 8, 72, 9, ?
Jim wants to build a rectangular parking lot along a busy street but only has 2,200 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.
The problem is an optimization problem in mathematics where one must use algebra and calculus to maximize the area of a rectangular parking lot with a given amount of fencing along three sides. By setting up a function for the area in terms of width and differentiating, the maximum area can be found.
Explanation:The problem presented involves finding the maximum area of a rectangular parking lot given a certain amount of fencing, when one side of the rectangle requires no fencing. This is a classic optimization problem in mathematics which involves the use of algebra and calculus. By setting up a function for the area of the rectangle in terms of one variable and differentiating to find the maximum value, we can determine the solution.
Lets assume that the length of the lot that is along the busy street doesn't require fencing, and let the width of the lot be w and the length be l. Since fencing is only required for three sides, and we have 2,200 feet of fencing, the perimeter equation is 2w + l = 2,200. Solving for l, we get l = 2,200 - 2w. The area A of the parking lot will be given by the equation A = w * l. Substituting the expression for l into the area equation, we get A = w(2,200 - 2w) or A = 2,200w - 2w^2. To find the maximum area, we take the derivative of A with respect to w, set it to zero, and solve for w. Once the width is found, we can find the length using the perimeter equation and thus calculate the maximum area of the lot.
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The sum of five times a number and 6 more than the number is the same as the difference between -18 and twice the number. What is the number?
The number is given by -3.
What is an Equation?Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.
Let the number be x
Five times the number is = 5x
6 more than the number is = x+6
Sum of five times a number and 6 more than the number is = 5x+(x+6) = 5x+x+6 = 6x+6
The difference between -18 and twice the number = -18-2x
According to condition,
6x+6 = -18-2x
6x+2x = -18-6
8x = -24
x = -24/8 = -3
Hence the number is -3.
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Pamela's age is two times Jiri's age. The sum of their ages is
33
. What is Jiri's age?
The product of two positive numbers is 120. One number is 7 more than the other. Determine the two numbers
the Golden Ratio, is present not just in mathematics, but may also be present within your own brain and body (at the atomic or subatomic level), what do you think it means? Is this number evidence of a grand design, a massive freak coincidence or something else?
A bag contains
9
marbles:
2
are green,
2
are red, and
5
are blue. Omar chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is green and the second is red? Write your answer as a fraction in simplest form.
jay simplified the expression 3 x (3 +12 / 3) -4. for his first step ,he added 3 + 12 to get 15. what was jay's error? find the correct answer
Jay's error was in the order of operations. The correct result is 17.
Jay's error lies in how he interpreted the expression. According to the order of operations (PEMDAS/BODMAS), multiplication and division should be performed before addition and subtraction.
So, the correct first step is to perform the division [tex]\( \frac{12}{3} = 4 \)[/tex]and then add 3 to the result, not add 3 and 12 together first.
The correct first step:
[tex]\[ 3 \times (3 + \frac{12}{3}) - 4 \][/tex]
[tex]\[ = 3 \times (3 + 4) - 4 \][/tex]
[tex]\[ = 3 \times 7 - 4 \][/tex]
= 21 - 4
= 17
Therefore, Jay's error was in the order of operations. The correct result is 17.
A rectangular room is 1.5 times as long as it is wide, and its perimeter is 35 meters. find the dimesions of the room
The width of the room is 7 meters and the length is 10.5 meters.
Explanation:To find the dimensions of the rectangular room, let's assume the width of the room is x meters. According to the given information, the length of the room is 1.5 times the width, so the length would be 1.5x meters.
The perimeter of a rectangle is calculated by adding twice the length to twice the width. So, we have the equation:
2x + 2(1.5x) = 35
Simplifying the equation, we get:
2x + 3x = 35
Combining like terms, we have:
5x = 35
Dividing both sides of the equation by 5, we find that x = 7.
Therefore, the width of the room is 7 meters and the length is 1.5 times the width, which is 1.5 * 7 = 10.5 meters.
A tree is 2 1/2 feet tall. How tall will it be in 3 years if it grows 1/4 foot each year? Which method will NOT give the correct number of feet?
Which problem could be solved with the expression 4*(4+2)
A - Danny ran 4 miles in the morning and 2 miles in the afternoon. He did this for 4 days. How many miles did he run?
B - Bobby sold 4 baseball cards on Monday. He then sold 2 more on Tuesday. He sold the same amount for 2 weeks. How many did he sell?
C - Suzanne makes wooden dolls. She made 2 in the morning and 2 in the afternoon. She did this for 4 days. How many dolls did she make?
A Danny's Problem
B Bobby's Problem
C Suzanne's Problem
A conical cup is made from a circular piece of paper with radius 6 cm by cutting out a sector and joining the edges as shown below. Suppose θ = 5π/3.
Answer:
(a) 10π cm
(b) r = 5 cm
(c) h = √11 cm
Step-by-step explanation:
(a) The surface of the opening the cup is circular in shape and a sector is cut from circle is calculate by formula,
C = r × θ
here, r = 6 cm
and θ = [tex]\frac{5\pi}{3}[/tex]
⇒ [tex]C = 6 \times \frac{5\pi}{3} = 10\pi[/tex]
(b) For finding the radius of the cup,
As the circumference of the circle is 10π
and we know that area of cone is calculate by formula, 2πr
⇒ 2πr = 10π
⇒ r = 5 cm
(c) In cone we know slant height(l) = 6 cm
Radius = 5 cm
Thus, using Pythagoras theorem,
l² = h² + r²
⇒ h² = l² - r²
⇒ h² = 36 - 25
⇒ h = √11 cm
A hardware store sells 35% fewer lawnmowers in july than in april. If 39 were sold in july, how many were sold in april/
Answer: 0.65a = 39
Step-by-step explanation:
The digits 2 comma 3 comma 4 comma 5 comma and 2, 3, 4, 5, and 6 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 600.
the production line where you work can assemble 5 amplifiers every 30 minutes at this rate how long should it take the line to assemble 125 amplifiers
The time taken to assemble 125 amplifiers is required.
Time taken to assemble 125 amplifiers is 750 minutes or 12 hours and 30 minutes.
Time taken to assemble 5 amplifiers is 30 minutes
[tex]5\ \text{amplifiers}=30\ \text{minutes}[/tex]
So,
[tex]1\ \text{amplifier}=\dfrac{30}{5}=6\ \text{minutes}[/tex]
[tex]125\ \text{amplifiers}=125\times 6=750\ \text{minutes}=\dfrac{750}{60}=12.5\ \text{hours}[/tex]
So, time taken to assemble 125 amplifiers is 750 minutes or 12 hours and 30 minutes.
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What type of simple machine is the crescent wrench
The crescent wrench is a type of lever, a simple machine that amplifies force to provide greater torque on fasteners with less input effort.
The crescent wrench is a type of simple machine, specifically it is a form of a lever. When you use a crescent wrench, you apply force to the handle, which then applies force to the object you are turning. The pivot point, or fulcrum, is the adjustable jaw which grips the nut or bolt. This allows the user to exert a greater torque on the fastener with less force than would be needed if just using one's hands.
Like other levers, the crescent wrench allows for a mechanical advantage, which is the ratio of output to input forces for any simple machine. By lengthening the handle of the wrench (the effort arm), we achieve a greater mechanical advantage, and thus, can apply more torque to the bolt or nut we are trying to turn.
if 3 apples cost $1.25 what is the cost of 7 apples?
The length of the base of a triangle is twice its height. If the area of the triangle is 64 square kilometers, find the height.
To find the height of the triangle with an area of 64 square kilometers and a base twice its height, we use the area formula: A = (1/2) × base × height, which leads us to determine that the height is 8 kilometers.
Explanation:The question given involves finding the height of a triangle when the area is known and the relation between the base and height is given. Since the base is twice the height (b = 2h), and we know the formula for the area of a triangle is A = (1/2) × base × height, we can substitute the known area and the base-height relationship into this formula to solve for the height.
The area (A) is given as 64 square kilometers, which leads to the equation:
A = (1/2) × b × h = (1/2) × (2h) × h = h²,
Therefore, with A = 64 km², we obtain:
64 = h².
Taking the square root of both sides gives us the height (h):
h = √64 km = 8 km.
So the height of the triangle is 8 kilometers.
Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50μm2. Convert this to square meters.
Express your answer in square meters.
the Lynch family bought a house for 75,300 .a few years later ,they sold the house for 80,250 how much greater was selling price than the purchase price
hi there i could really use the help with this question please
s(t)=9t-4, find S(4)
To calculate S(4), substitute the value of t with 4 into the function S(t), which results in S(4) = 9(4) - 4, giving the final answer of 32.
Explanation:To find S(4), we need to substitute the value of t with 4 in the function S(t) = 9t - 4. This is a simple evaluation of a function for a given input.
Step-by-step calculation:
Write down the function: S(t) = 9t - 4Substitute t with 4: S(4) = 9(4) - 4Multiply 9 by 4: S(4) = 36 - 4Subtract 4 from 36: S(4) = 32Therefore, S(4) is 32.
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Heights of men on a baseball team have a Bell shaped distribution with a mean of 172cm and a standard deviation of 8cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 156cm and 188cm b. 164cm and 180cm