To determine the number which, when divided into 1/16 groups, gives 15/16, we should multiply 15/16 by 16. Therefore, 15/16 is 1 sixteenth of a group of 15.
Explanation:The question is essentially asking for a number which, when divided into 1/16 groups, would give 15/16.To find 1 sixteenth of a number, divide the number by 16. In this case, we want to find 1 sixteenth of what number is equal to 15/16. So, 15/16 is equal to 1/16 of what number. To find this number, we can simply invert the operation. Instead of dividing by 1/16, we should multiply 15/16 by 16. This gives us:
15/16 * 16 = 15.
Therefore, 15/16 is 1 sixteenth of 15.
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there are some numbers that can be made into only one array. Find all of these numbers up to 50.
can a sequence be both arithmetic and geometric?
A sequence can be both arithmetic and geometric, and this is illustrated where terms follow both an arithmetic and geometric progression.
Yes, a sequence can be both arithmetic and geometric. An example of such a sequence is when the terms of the sequence follow both an arithmetic progression, where the difference between consecutive terms is constant, and a geometric progression, where each term after the first is found by multiplying the previous term by a fixed, non-zero number.
What is the next number in the sequence: 4, 11, 25, 53...?
Answer:
109
Step-by-step explanation:
Given that there is a sequence of numbers as
4,11,25,53,...
We have to find the next number.
To find the next number, let us see the pattern from the given four numbers
We have
I number = 4
II number = 4+7
III number = II number + 2(7)
Iv number = III number +4(7)
So if we guess this pattern continues the next number namely v number would be
V number = IV number +8(7)
=53+56
109
i.e. I number is added by 7, II number by 2(7), III number by 2^2(7)
hence next number 2^3(7)
Answer is 109
The next number in the sequence is:
109Obtaining the sequenceAs can be seen, the first number is a selected number, which in this case is four, to which seven are added to obtain:
4 + 7 = 11Then double 7 is added to that number, that is 14, with which you get:
11 + 14 = 25The double of 14 is added to that number, which is 28, so the next number is: 25 + 28 = 53And to get the next number, double 28 must be added, which is 56, therefore:
53 + 56 = 109By this reason, the next number in the sequence is 109.
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You have 10,600 to 10,425 find the percent decrease
Is the product of an irrational number with a rational number always an irrational number??
If g(x)=5x-3 and h(x) = x find (goh) (4)
In this composition, we first apply the function h, which is simply the identity function, to the input 4, resulting in 4. Then, we apply the function g to this result. As g(x) = 5x - 3, g(4) equals 17. Hence, (g◦h)(4) = 17.
To find (g◦h)(4), which represents the composition of functions g and h evaluated at x = 4, we first need to find h(4), then substitute the result into g(x).
Given h(x) = x, h(4) = 4.
Now, we substitute h(4) into g(x).
So, g(h(4)) becomes g(4).
Given g(x) = 5x - 3, substituting x = 4 into g(x), we get g(4) = 5(4) - 3 = 20 - 3 = 17.
Therefore, (g◦h)(4) = 17.
Which conversion factors are used to multiply to 18 cm/s to get meters per minute?
Answer:
[tex]\frac{60}{100}[/tex]
Step-by-step explanation:
Here, the given expression,
18 cm per sec
That is, measure in 1 sec = 18 cm
∵ 1 minute = 60 seconds,
⇒ 1 second = [tex]\frac{1}{60}[/tex] minutes,
Also, 1 meters ( m ) = 100 centimeters ( cm ),
⇒ 1 cm = [tex]\frac{1}{100}[/tex] m,
So, the measure in [tex]\frac{1}{60}[/tex] minutes = 18× [tex]\frac{1}{100}[/tex] cm,
Thus, the measure in 1 minute = [tex]18\times \frac{60}{100}[/tex] cm
Hence, the conversion factors are used to multiply to 18 cm/s to get meters per minute is [tex]\frac{60}{100}[/tex]
Prime factorization practice all factors 1.- 25 2.- 49 3.- 7 4.- 13 5.- 24 6.- 48 7.- 168
3.4 divided by 0.16728
Solve the inequality. Graph the solution.
z - 4.7 ≥ -1.6
The solution of the given inequality is z ≥ 3.1
The Graph of the solution of the inequality z - 4.7 ≥ -1.6 is attached below.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Given that the inequality;
z - 4.7 ≥ -1.6
Solving;
z ≥ 1.6 + 4.7
z ≥ 3.1
Therefore, The solution of the given inequality is z ≥ 3.1
The Graph of the solution of the inequality z - 4.7 ≥ -1.6 is attached below.
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Need help with this one!!!
A factory produces 5−packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. Each package has a mass of 15 grams. Enter a compound inequality to represent the mass of a single pencil in a pack. Can each pencil have a mass of 10.5 grams?
The compound inequality will be: [tex]9\leq x\leq 16[/tex], where [tex]x[/tex] is the mass of a single pencil and each pencil can have a mass of 10.5 grams.
Explanation
Suppose, the mass of a single pencil in the pack is [tex]x[/tex] gram.
So, the total mass of 5 pencils will be: [tex]5x[/tex] grams.
Each package has a mass of 15 grams. So, the total weight of the pack of 5 pencils [tex]=(5x+15)[/tex] grams.
To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. So, the compound inequality will be..........
[tex]60\leq 5x+15\leq 95\\ \\ 60-15\leq 5x+15-15\leq 95-15\\ \\ 45\leq 5x\leq 80\\ \\ \frac{45}{5}\leq \frac{5x}{5}\leq \frac{80}{5}\\ \\ 9\leq x\leq 16[/tex]
So, the compound inequality to represent the mass of a single pencil in a pack will be: [tex]9\leq x\leq 16[/tex], where [tex]x[/tex] is the mass of a single pencil.
Given the point and it''s image, determine the scale factor. A (3, 6) A'' (4.5, 9) G'' (3, 6) G (1.5, 3) B (2, 5) B'' (1, 2.5).
Final answer:
The scale factors for the points given are 1.5 for A to A', indicating an enlargement, and 0.5 for B to B', indicating a reduction. G to G' also indicates a reduction with a factor of 0.5.
Explanation:
To determine the scale factor given the point and its image, you can find the ratio between the coordinates of the image and the original coordinates. Let's analyze the pairs of points you've provided:
A (3, 6) and A' (4.5, 9)
G (1.5, 3) and G' (3, 6)
B (2, 5) and B' (1, 2.5)
We can find the scale factor by dividing the x-coordinates of the image by the original x-coordinate and doing the same for the y-coordinates. For point A:
Scale factor for x: 4.5 / 3 = 1.5
Scale factor for y: 9 / 6 = 1.5
For point G, we see that it's actually the reverse (original to image), but you can still calculate:
Scale factor for x: 3 / 1.5 = 2
Scale factor for y: 6 / 3 = 2
Lastly, for point B:
Scale factor for x: 1 / 2 = 0.5
Scale factor for y: 2.5 / 5 = 0.5
So, the scale factors for A to A' and for B to B' are 1.5 and 0.5, respectively, showing that A to A' is an enlargement while B to B' is a reduction. For G to G', the reverse is a reduction with a factor of 0.5.
Six less than the product of 9 and a number is equal to 4
what is bigger 4/5 or 5/9
Write out the sample space for the given experiment. use the letter b to indicate boys and g for girls. a couple plans to have 33 children.
An example of one possible outcome in the sample space:
[tex]\[ \text{bgbbggbggbgbgbggbbgbgbgbbggbgbgb} \][/tex]
To create the sample space for the given experiment, where a couple plans to have 33 children, we'll represent the possible outcomes using the letters "b" for boys and "g" for girls. The sample space for having 33 children can be represented as a sequence of "b" and "g", where each letter represents the gender of a child. Since there are 33 children, the sample space will consist of all possible sequences of 33 "b"s and "g"s.[tex]\[ \text{bgbbggbggbgbgbggbbgbgbgbbggbgbgb} \][/tex]
Each letter in the sequence represents the gender of a child, with "b" indicating a boy and "g" indicating a girl. The sample space consists of all possible sequences of 33 "b"s and "g"s, representing all possible combinations of boys and girls the couple could have among their 33 children.which of the following inequality has solution set
Answer:
-7(k+9)=9(k-5)-14k
40.8 gallons of paint among 8 containers
divide the two
40.8 / 8 = 5.1 gallons per container
What is the relationship between the 6s in 660, 472?
Answer:
1st 6 is 1/10 of 2nd 6 and 2nd 6 is 10 times the 2nd 6.
Step-by-step explanation:
We are asked to find the relationship between the 6s in 660,472.
Upon looking at our given number, we can see that 1st see is in 10 thousands place and 2nd 6 is in hundred thousands place.
Place value of 1st 6: 60,000
Place value of 2nd 6: 600,000
Let us compare our both numbers as:
We can see that 600,000 is 10 times greater than 60,000, therefore, 1st 6 is 1/10 of 2nd 6 and 2nd 6 is 10 times the 2nd 6.
Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
Answer:
[tex]\( f(x) + g(x) = -4x - 10 \).[/tex]
To find the domain of [tex]\( f(x) + g(x) \)[/tex], we need to consider the values of [tex]\( x \)[/tex] for which the function is defined. Since [tex]\( f(x) \)[/tex] and [tex]\( g(x) \)[/tex] are both linear functions, their domain is all real numbers.
So, the domain of [tex]\( f(x) + g(x) \)[/tex] is [tex]\( \mathbb{R} \)[/tex] , which means that [tex]\( x \)[/tex] can be any real number.
Explanation:
To find [tex]\( f(x) + g(x) \)[/tex] , we simply add the functions [tex]\( f(x) \) and \( g(x) \)[/tex] together:
[tex]\[ f(x) + g(x) = (2x - 7) + (-6x - 3) \][/tex]
Now, let's simplify:
[tex]\[ f(x) + g(x) = 2x - 7 - 6x - 3 \][/tex]
[tex]\[ f(x) + g(x) = (2x - 6x) + (-7 - 3) \][/tex]
[tex]\[ f(x) + g(x) = -4x - 10 \][/tex]
what is 63.75 minus 13.25 please really need help.
x/21 = 3/63 solve the proportion
calculate each of the following by using scientific notation and product rule. write the answer in scientific notation. 2.3 x 10^4 times 4.2 x 10^6
a number x plus 9 is 3036 write equation solve for x
The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. If the couch was bought at a wholesale price of $113.00 and Jessica's Furniture Store marks up all furniture by 45%, at what price should the manager sell the couch?
Answer: The manager sold the couch at $163.85.
Step-by-step explanation:
Since we have given that
Wholesale price of the couch = $113.00
If Jessica's Furniture Store marks up all furniture by 45%.
So, Increment in whole sale price is given by
[tex]\frac{45}{100}\times 113\\\\=\frac{5085}{100}\\\\=\$50.85[/tex]
So, the manager sold the couch at the price is given by
[tex]\$113.00+\$50.85\\\\=\$163.85[/tex]
Hence, the manager sold the couch at $163.85.
What is equivalent to 5.300
25/5 as a mixed number
A mountain climber climbed down a cliff 50 feet at a time . He did this 5 times in one day . What is the overall change in his elevation ?
slove for u=vw+z to get v by its self