A newborn baby gained 9/16 of a pound in 1/4 of a month. What was the baby's growth rate in pounds per month?
i need help on finding out this answer i am really confused so plz help me
a square pyramid and a cube have the same bases and volumes. How are their heights related? Explain.
A square pyramid's height is three times the side of the base of a cube if they have the same base and volume, due to their differing volume formulas.
If a square pyramid and a cube have the same base and volume, the relationship between their heights can be determined using the formulas for their volumes. The volume of a cube is given by [tex]V = s^3,[/tex] where s is the length of a side of the cube's base. The volume of a square pyramid is [tex]V = (1/3) * b^2 * h,[/tex] where b is the length of the base side and h is the pyramid's height. Since both have the same volume, we can set these equations equal to each other and solve for h.
Setting the volumes equal: [tex]s^3 = (1/3) * s^2 * h,[/tex] simplifying to h = 3s. Thus, the height of the pyramid is three times the side of the base of the cube. This is because a cube's volume grows as a cube of its side length, while a pyramid's volume is one third of the base area times the height. Therefore, since they have the same volume, the height of the pyramid must be three times larger to compensate for the 1/3 factor in its volume formula.
I don’t understand how to do this, someone please help :)
Solve for y
Benny sold half of his comics and then bought 8 more he has now 11 in total how many did he begin with
Answer:
6
Step-by-step explanation:
If he sold half of 6 thats 3, then he bought 8 more that equals 11.
Hope that helps!
the probability of picking a red marble from a bag of 30 marbles is 1/5. how many blue marbles must be removed from the bag to increase the probability to 1/4
To increase the probability from 1/5 to 1/4, we need to remove 24 blue marbles from the bag.
Explanation:To increase the probability from 1/5 to 1/4, we need to find the number of blue marbles that need to be removed. Let's assume there are x blue marbles in the bag. Initially, the total number of marbles in the bag is 30, and the probability of picking a red marble is 1/5. This means that (30 - x)/30 = 1/5. Solving this equation, we get x = 24. Therefore, 24 blue marbles need to be removed from the bag to increase the probability to 1/4.
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Because the initial probability of picking a red marble from 30 marbles is 1/5, there are 6 red marbles in the bag. If we want to increase the probability of drawing a red marble to be 1/4, we need to reduce the total number of marbles in the bag to 24. So, we must remove 6 non-red marbles, which could be blue.
Explanation:The subject of your question is probability in Mathematics. Initially, we have 30 marbles, and the probability of picking a red one is 1/5. So, there are 1/5 * 30 = 6 red marbles in the bag. Thus, the bag also contains 24 non-red marbles, which can be blue or other colors.
Next, we want the probability of picking a red marble to be 1/4. Since the number of red marbles will remain the same, we need to change the total number of marbles in the bag. If 'x' is the number of marbles in the bag, then 6/x = 1/4, which means x = 24. Since initially we had 30, to get to 24 we need to remove 6 marbles.
Therefore, if we remove 6 blue marbles (or any non-red marbles), the probability of picking a red marble will increase to 1/4.
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What is the value of t?
t−12/2=3t/2−3
A. –3
B. –1
C. 1
D. 3
Answer: -3
Step-by-step explanation:
(t-12)/2=(3t)/2-3
t-6=1.5t-3
t=3-6
t=-3
Hope this helps
We have that for the Question "What is the value of t?
t-12/2=3t/2 -3" it can be said that the value of t is
[tex]t=-3[/tex]
Option A
From the question we are told
What is the value of t?
t-12/2=3t/2-3
A. –3
B. –1
C. 1
D. 3
Generally the equation for the statement is mathematically given as
[tex]\frac{t-12}{2}=\frac{3t}{2}-3\\\\ Therefore\\\\\frac{t-12}{2}=\frac{3t}{2}-3\\\\Multiply through by the denominator which is 2\\\\ t-12=3t-6 \\\\ collecting like terms \\\\ t-3t= -6 +12 \\\\ therefore \\\\ t=-3 [/tex]
Therefore
the value of t is
[tex]t=-3[/tex]
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what is the value of 412.321 if the underlined diget is 1 on the part .321?
5._4 - (_.8_) = -3.61
fill in the blanks please !!
Answer:
[tex]5.24-8.85=-3.61[/tex]
Step-by-step explanation:
We have been given an equation. We are asked to fill in the blanks for the given equation.
5._4 - (_.8_) = -3.61
We will find each part separately as:
For hundredths digit:
[tex]4-?=-1[/tex]
[tex]4-4-?=-1-4[/tex]
[tex]-?=-5[/tex]
[tex]?=5[/tex]
So hundredths digit would be 5.
Tenth digit:
[tex]?-8=-6[/tex]
[tex]?-8+8=-6+8[/tex]
[tex]?=2[/tex]
Ones digit:
[tex]5-?=-3[/tex]
[tex]5-5-?=-3-5[/tex]
[tex]-?=-8[/tex]
[tex]?=8[/tex]
Substitute the values in given equation.
5.24 - (8.85) = -3.61
We can verify our answer by subtracting 8.85 from 5.24.
[tex]5.24-8.85=-3.61[/tex]
Therefore, our equation would be [tex]5.24-8.85=-3.61[/tex].
A black tailed jack rabbit hops about 7 feet in a single hop. How far can it hop on 5 seconds?
3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items? (a) Write an equation. Let x represent the cost of one of Tanya's items. (b) Solve the equation. Show your work. (c) Check your solution. Show your work. (d) State the solution in complete sentences. Answer:
3x = 4(x-2.25)
3x = 4x-9
add 9 to both sides
3x+9 =4x
subtract 3 x from each side
x=9
Tonya's items were $9 each
Tony's items were 9-2.25 = 6.75 each
check:
9*3=27
4 *6.75 = 27
tammy claims that 20% is the same as 2/5 is she correct
If 60 equals twice a number added to itself, find the number.
can you graph the equation?
The rabbit population in a certain area is 500% of last year's population. There are 300 rabbits this year. How many were there last year? There were rabbits last year.
500% - 5.00
300 / 5 = 60
there were 60 rabbits last year
What is 89-99•99-102
Answer:
-9814
Step-by-step explanation:
P.E.M=D.A=S- The order of operations
P.erenthisis
E.xponent
M.ultiplication
D.ivision
A.ddition
S.ubtraction
first multiplication, -99•99, = -9801
now we work left to right, as subtraction is the same step as subtraction.
89-9801=9712
-9712-102=-9814
Factor GCF (greatest common factor)
2k^2 + 7k
the foundation of a house sinking 5 inches positing or negative
Using the Pythagorean theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long.
Which is the best example of a number written in scienific notations?
A) .5 x 10^5
B) .1254
C) 5.367 x 10^-3
D) 12.5 x 10^2
soppose 8 out of every 20 students are absent from school less than 5days a year.predict how many students would be absent from school less than five days a year out of 40,000 students
a butcher has 10 3/4 pounds of ground beef that will be process at $3.40 per pound. he divides the meat into 8 equal packages. to the nearest cent, what will be the price of each package? explain how you know that your answer is reasonable
What is the quotient for -20/-2?
What is the sum of the two largest numbers in the list 1/3,2/7,3/10,4/13,5/17 Express your answer in simplest form.
At the rate of $7.22 how much will Whitney eat in 40 hours
the length of a picture frame is 3 inches greater than the width. The perimeter is less than 52 inches. Describe the dimensions of the frame.
To describe the dimensions of the frame, we can represent the width as x inches and the length as (x+3) inches. The perimeter is less than 52 inches. We can solve an inequality using this information to find the possible values for the width.
Explanation:To describe the dimensions of the picture frame, let's represent the width of the frame as x inches. According to the information given, the length of the frame is 3 inches greater than the width, so it can be represented as (x+3) inches. The perimeter of a rectangle is given by the formula: Perimeter = 2(width + length). Since the perimeter is less than 52 inches, we can form the following inequality: 2(x + (x+3)) < 52. Solving this inequality will give us the range of possible values for the width, and we can then determine the corresponding length of the frame.
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tony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the all-tournament team. so far, in all of the tournaments he's been to, all of the players who made the all-tournament team scored an average between 27 and 32 points in the tournaments. Determine the range of points tony should score in his next game to make the all-tournaments team.
Please help me with this problem: Simplify -7 and the square root of 2.
Svester rectangular gradeb is 28 m long and has an area of 392m what is the width of the garden
Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103