To find a fraction's simplest form, you need to find the GCF. The greatest common factor is the largest number that can go into the numerator and the denominator.
We know that 1 is a factor, but let's keep going to make sure. 2 is also a factor.
14/2 = 7
16/2 = 8
Since 14 and 16 are not divisible by 3, 2 is the GCF (we know not to continue dividing).
Therefore, it's simplest form is 7/8.
The fraction 14/16 in simplest form is 7/8.
To simplify the fraction 14/16, find the greatest common divisor (GCD) of the numerator (14) and the denominator (16) and then divide both the numerator and denominator by the GCD.
Step 1: Find the Greatest Common Divisor (GCD) of 14 and 16.
The divisors of 14 are 1, 2, 7, and 14.
The divisors of 16 are 1, 2, 4, 8, and 16.
The largest number that appears in both lists is 2. Therefore, the GCD of 14 and 16 is 2.
Step 2: Divide both the numerator and denominator by the GCD (which is 2).
14 ÷ 2 = 7
16 ÷ 2 = 8
To know more about fraction here
https://brainly.com/question/10354322
#SPJ6
Jorge finish 1/4 of a level of his computer game in 1/3 of the air at this rate how many hours will it take to complete one level
if 16-4(5-x)=8, then x=
16-4(5-x)=8
16-20+4x=8
-4+4x=8
4x=12
x=3
A particular plant root grows 2.5 inches per month. How many centimeters is the plant root growing per month? (1 inch = 2.54 centimeters). 0.98 centimeters 1.02 centimeters 5.04 centimeters 6.35 centimeters
Answer:
6.35 cm
Step-by-step explanation:
Did this exam on FLVS.
02.07 Unit Conversions right?
well hope this helped!!
Which of these procedures is the same as multiplying a whole number by 1,000?
Moving the decimal 3 places to the right
The correct option is c.
To multiply a whole number by 1,000, move its decimal point three places to the right and add zeros.
To multiply a whole number by 1,000, which is equivalent to adding three zeros to the end of the number, you would:
c). Move the decimal point three places to the right and fill in the blank places with zeros.
Let's illustrate with an example:
If we have the whole number 5, multiplying it by 1,000 would result in 5,000.
To achieve this using option c):
- Start with 5.
- Move the decimal point three places to the right: 5.000.
- Fill in the blank places with zeros: 5,000.
This process ensures that the value increases by a factor of 1,000, which matches the result of multiplying the whole number by 1,000. Therefore, option c) is the correct procedure.
The complete question is here:
Which of these procedures is the same as multiplying a whole number by 1,000?
a). add 1000 to the whole number, 3 times
b). multiply the whole number by 3, ten times
c). move the decimal point there places to the left and fill in the blank places with zeros
d). move each digit of the whole number three places to the left and fill in the blank with places with zeros
Which equation has the solution x = 5?
Select each correct answer.
25/x+4=9
x/5+5=6
3x + 1 = 9
18−2x=9
32−4x=12
11 + 6x = 22
Final Answer:
The equation that has the solution [tex]\( x = 5 \) is \( 3x + 1 = 9 \)[/tex].
Upon solving [tex]\( 3x + 1 = 9 \)[/tex], we find [tex]\( x = \frac{8}{3} \)[/tex]. However, this does not satisfy the condition [tex]\( x = 5 \)[/tex]. None of the other given equations meet the criteria, making [tex]\( 3x + 1 = 9 \)[/tex] the correct choice.
Step-by-step explanation:
The equation 3x + 1 = 9 can be solved to find the value of x.
Starting with the given equation:
[tex]\[3x + 1 = 9\][/tex]
Subtract 1 from both sides:
[tex]\[3x = 8\][/tex]
Now, divide both sides by 3:
[tex]\[x = \frac{8}{3}\][/tex]
However, we're looking for a solution where x equals 5. Since [tex]\(\frac{8}{3} \neq 5\)[/tex], the equation 3x + 1 = 9 does not satisfy the condition x = 5.
Now, let's analyze the other equations:
1. For the equation [tex]\(\frac{25}{x+4} = 9\)[/tex], if we substitute x = 5, the left side becomes [tex]\(\frac{25}{9}\)[/tex], which is not equal to 5.
2. For the equation [tex]\(\frac{x}{5} + 5 = 6\)[/tex], if we substitute x = 5, the left side becomes [tex]\(1 + 5\)[/tex], which is not equal to 6.
3. For the equation [tex]\(18 - 2x = 9\)[/tex], if we substitute x = 5, the left side becomes [tex]\(18 - 10\)[/tex], which is not equal to 9.
4. For the equation [tex]\(32 - 4x = 12\)[/tex], if we substitute x = 5, the left side becomes [tex]\(32 - 20\),[/tex] which is not equal to 12.
5. For the equation [tex]\(11 + 6x = 22\)[/tex], if we substitute x = 5, the left side becomes[tex]\(11 + 30\)[/tex], which is not equal to 22.
Therefore, the only equation among the given options that satisfies the condition x = 5 is 3x + 1 = 9.
10,160,555 round off to the nearest hundred thousand
Answer:
10,200,000
Step-by-step explanation:
Note the hundred thousands place value (underlined and bolded):
10,160,555
Look at the value of the number directly to the right. It is a 6. Because 6 is greater than 5, round up
10,160,555 rounded to the nearest hundred thousand is 10,200,000.
~
The number 10,160,555 rounded off to the nearest hundred thousand is 10,000,000.
Explanation:The question asks for 10,160,555 to be rounded off to the nearest hundred thousand. When rounding to the nearest hundred thousand, we look at the digit in the ten-thousand place. In this case, that digit is 1. Since 1 is less than 5, we keep the digit in the hundred-thousand place as is and change all digits to its right to zero.
This gives us the rounded answer: 10,000,000.
Learn more about Rounding Numbers here:https://brainly.com/question/28562556
#SPJ3
Which equation represents a proportional relationship that has a constant of proportional equal to 4/5
y=4/5 x is a proportional relationship
Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.
With a desired confidence of 99%, which has a z*-score of 2.58, which statements are true? Check all that apply.
E = z*
The sample size is 40.
The sample size is 64.
The point estimate of the population proportion is 0.16.
The point estimate of the population proportion is 0.625.
The margin of error is approximately 12%.
The margin of error is approximately 16%.
- The sample size is 64.
- The point estimate of the population proportion is 0.625.
-The margin of error is approximately 16%.
Answer:
Step-by-step explanation:
Given that Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.
Out of the statements given the true statements are :
1) The sample size is 64
2) The point estimate of the population is sample proportion =40/64 =5/8
=0.625
3) Margin of error = std error x 2.58
Std error = sq rt pq/n
p=0.625 and q = 0.375
Hence std error = 0.060
Margin of error = 0.156
Round off to 0.16 = 16%
You have 19 digs for your current volleyball season. There are 5 games left in the season. You want to break your previous record of 26 digs in a season. Write and solve an inequality that represents the number x of digs you must get in the remaining 5 games to break your record
Answer:We must get more than 7 digs in the remaining 5 games to break record of 26.
Step-by-step explanation:
Given situation:- Let x represents the number of digs which we must get in the remaining 5 games to break your record ,and we have 19 digs for our current volleyball season.
To break previous record of 26 digs in a season, we have to get more than 26 i.e. 19 digs added to x must be greater than 26
⇒x+19 ≥ 26
⇒x≥26-19⇒x≥7
Therefore,we must get more than 7 digs in the remaining 5 games to break record of 26.
The inequality that represents the number x of digs you must get in the remaining is x > 7
Let 19 represent the digs you have in this season
Let x represent the digs you have in the remaining games.
Hence, x+19 will represent the digs you get for the season.
Now let solve an inequality that represents the number x of digs
19 + x > 26
x>=19-26
x > 7
Inconclusion The inequality that represents the number x of digs you must get in the remaining is x > 7.
Learn more here:
https://brainly.com/question/18098102
What is the binomials is a factor of the trinomials x^2+13x+40?
A. x-5
B. x+5
C. x+4
D.x-4
The correct answer is: [B]: " (x + 5) " .
______________________________
Explanation:
To solve:
_______________________________
Given:
_______________________________
" x² + 13x + 40 " ; factor into "two terms" ;
→ that is; "factor into 2 (two) binomial expressions" .
____________________________
What 2 (two) factors of: "+ 40" add up to " + 13 " ? ;
____________________________
+ 40, + 1 ?? ; → +40 + (+1) = +41 ; → + 41 ≠ + 13 ;
- 40 + (-1) ?? ; → - 40 + (-1) = - 40 - 1 = - 41 ; → - 41 ≠ +13 ;
+8, + 5 ?? ; → + 8 + 5 = + 13 ; → + 13 = + 13 . Yes!
So; the factors of: " x² + 13x + 40 " ;
are: " (x + 5) (x + 8) " .
______________________________
Among this 2 (two) binomial factors: "(x + 5)" AND: "(x + 8)" ;
one of these: " (x + 5) " — appears among the answer choices provided;
→ which is: [B]: " (x + 5) " .
______________________________
The correct answer is: [B]: " (x + 5) " .
______________________________
Hope this helps!
Best wishes in your academic endeavors — and
within the "Brainly" community!
______________________________
Mariah bought 7 books $11.20 each. Find the total cost of the 7 books. Justify your answer by using the Distributive Property.
Answer
Let's just get the answer so that you see what we are trying to do with the distributive property.
Cost = C = n (number of books) * Cost of 1 book.
Cost = 7 * 11.20
Cost = 78.40
Distributive Property
11.20 * (4 + 3)
11.20 * 4 + 11.20 * 3
44.80 +33.60
78.40 which agrees with the multiplication answer
To calculate the total cost we have to multiply 7 books by the cost of each book
Total = 7*$11.20 = $78.4
Answer : $78.4
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
What is the prefix of wilderness
I think it is “wild”, but I’m not the best at english :)
Sam initially invested $4,500 into a savings account that offers an interest rate of 3% each year. He wants to determine the number of years, x, for which the account will have less than or equal to $7,020.
Determine the solution set to the inequality that represents this situation.
Answer:
Principal = $4,500
Rate of interest=3%
Time = x years
We have to find number of years such that
Amount ≤$7020
Amount ≤ Principal + Simple interest
7020≤4500+ S.I
S.I≥7020-4500
S.I≥$2520
Formula for simple interest
S.I=[tex]\frac{P\times R \times T}{100}[/tex], where P=Principal, R=Rate of interest, T=time
2520≥[tex]\frac{4500 \times 3 \times x}{100}[/tex]
[tex]\frac{2520 \times 100}{4500 \times 3} \leq x[/tex]
x≤[tex]\frac{56}{3}[/tex]
So, the solution set is (0,[tex]\frac{56}{3}[/tex]]
Answer:
The solution set to the given inequality : 0 < x ≤ 18.67
Step-by-step explanation:
Principal = $4500
Simple Interest Rate = 3%
= 0.03
Time = x year
Amount in the account will be less than or equal to $7020
⇒ Amount ≥ Principal × (1 + Rate × Time)
⇒ 7020 ≥ 4500(1 + 0.03·x)
⇒ 7020 ≥ 4500 + 135·x
⇒ 2520 ≥ 135·x
⇒ 18.67 ≥ x
The solution set to the given inequality : 0 < x ≤ 18.67
The length of a rectangle is 2 times the width. The area is 200 square centimeters. Find the length and width of the rectangle
Width=10
Length=20
10 is half of 20
10 × 20 = 200,
The width of the rectangle is 10 centimeters and the length is 20 centimeters. This is determined by using the formula for area of a rectangle, length times width, and substituting the given values.
Explanation:To solve this problem, we'll use the formula for the area of a rectangle, which is length times width. We're told that the length is 2 times the width and the area is 200 square centimeters.
Let's designate the width as x. So the length is 2x. Since area is length times width, the equation is 2x*x=200. This simplifies to 2x2=200, or x2=100. Therefore, x equals 10 (as we don't consider a negative number for measurement). The width of the rectangle is 10 centimeters and the length, being 2 times the width, is 20 centimeters.
Learn more about Area of a Rectanglehttps://brainly.com/question/35474401
#SPJ2
The difference between two complementary angles is 14. Which is the measure of one of those angles?
A. 14
B. 52
C. 83
D. 90
Let the first angle be x
Sum of complementary angle is 90
Then second angle will be 90- x
As difference is 14
Therefore
x - (90-x) =14
x-90+x=14
2x = 14 +90
x = 104/2
x = 52
B due to 52-14=38 and 38+52=90
-5
x=-9
x=11
x=12
x=8
-5x+6(4x+15)=242
[tex]-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8[/tex]
Hello there!
The answer it should be the the last option "x=8".
[tex]-5x+6(4x+15)=242\\[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to expand the form.
[tex]6(4x+15):24x+90[/tex]
[tex]-5x+24x+90=242[/tex]
Then you had to add similar by the elements.
[tex]-5x+24x=19x[/tex]
[tex]19x+90=242[/tex]
You had to subtract by 90 from both sides of the equation.
[tex]19x+90-90=242-90[/tex]
Simplify
[tex]19x=152[/tex]
Divide by 19 from both sides of the equation.
[tex]\frac{19x}{19}=\frac{152}{19}[/tex]
Simplify it should be the correct answer.
[tex]x=8[/tex]
Answer⇒⇒⇒⇒x=8
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Solve 8x − 2(x + 1) = 7x + 8. (5 points)
6
−6
−10
10
please help I don't understand
Robin purchased 3 1⁄2 ounces of whole wheat cereal for $1.40. What is the cost per ounce?
1.40/3.5=.4
that would be your answer
PLEASE HELP MEEEEEThe technology company asks the general contractor to lay gravel on the ground in the area between the warehouse and the fence. Each bag of gravel, G, covers 12x square feet of land and costs $22. Which of the following situations best models the minimum cost to completely cover the ground between the warehouse and the fence with gravel?
To model the minimum cost to completely cover the ground between the warehouse and the fence with gravel, find the product of the number of bags of gravel, G, and the cost per bag, $22.
To model the minimum cost to completely cover the ground between the warehouse and the fence with gravel, find the sum of the number of bags of gravel, G, and the cost per bag, $22.
To model the minimum cost to completely cover the ground between the warehouse and the fence with gravel, find the difference between the number of bags of gravel, G, and the cost per bag, $22.
None of the above.
It would be second choice
Answer:
None of the above.
Step-by-step explanation:
Given,
The area of ground covered by each bag = 12x square feet,
Let A be the total area of the land,
So, the total number of bags required = [tex]\frac{\text{total area}}{\text{area covered by each bag}}[/tex]
[tex]=\frac{A}{12x}[/tex]
Also, the cost of each bag = 22 dollars,
So, the total cost to cover the ground ( say C ) = number of bags required × cost of each bag
[tex]C=\frac{A}{12x}\times 22[/tex]
For minimizing C we need the value of A,
Hence, none of the given options are correct.
Is this right? and if not, can you explain me please.
Your corresponding angles is wrong. Instead, use 9 and 12.
That's about it. Good luck!
Can you help me find x and possibly explaining how to
Answer:
X = 8
Step-by-step explanation
First thing to do, is add 7 to both sides to make it -1/2X=-4. Then multiply both sides by the reciprocal (flip fraction) to make it X = 8. Because when you multiply -4 by -2/1 (or just -2) you get 8. Hope I helped! :D
2v+18=16-4(v+7) how does one do this
v = - 5
distribute right side of equation and simplify
2v + 18 = 16 - 4v - 28
2v + 18 = - 12 - 4v ( add 4v to both sides )
6v + 18 = - 12 ( subtract 18 from both sides )
6v = - 30 ( divide both sides by 6 )
v = [tex]\frac{-30}{6}[/tex] = - 5
The given equation is a linear algebra problem. By distributing, simplifying, and isolating the variable, we find that the solution to the equation 2v+18=16-4(v+7) is v = -5.
Explanation:The question is a linear algebra equation that you can solve by following these steps:
Distribute -4 to both v and 7 in the equation. You get 2v+18 = 16 - 4v -28. Simplify each side of the equation. 2v+18 becomes 2v+18 and 16 - 4v -28 simplifies to -4v -12. Transfer all the v values to one side and numeric values to the other. This results in: 2v + 4v = -12 - 18. Simplify again. You get 6v = -30.Isolate v by dividing both sides of the equation by 6. Thus, v = -30/6 = -5.So, the solution for the equation is v = -5.
Learn more about Linear Algebra Equation here:https://brainly.com/question/34459204
#SPJ3
783 rounded to the nearest hundred
Hey there,
783 rounded to the nearest hundred is 800.
- Ari -
The hundreds digit is the 7.
Everything to the right of the 7 becomes zero giving you 700.
Now look at the original digit to the right of the 7 in the number 783. It is an 8. Since an 8 is greater than or equal to 5, the previous digit goes up by 1, so the 7 becomes an 8.
Answer: 800
What is the estimate of 19.7-6.9
The estimate for the subtraction of 19.7 from 6.9 is approximately 13.
To estimate the difference between 19.7 and 6.9, we can round each number to the nearest whole number first. The number 19.7 rounds to 20, and 6.9 rounds to 7. Subtraction of these two estimates gives us:
20 - 7 = 13.
Therefore, the estimate for the subtraction of 19.7 from 6.9 is approximately 13.
Please help me answer this question and show work (see attached)
(11 POINTS!!){MATH} {PROBABILITY}
Renee is playing a game with marbles and a spinner. The spinner has four sections: orange, black, purple, and white. The marbles are kept in a bag and come in three colors: orange, black, and purple. Renee first spins the spinner and then picks a marble from the bag without looking. What is the probability that the color of the marble matches the color on which the spinner lands?
A. 1/6
B. 1/4
C. 1/3
D. 1/2
Answer:
1/4
Step-by-step explanation:
What is 11/9/18 as a mixed number in simplest form.
The answer is 22 because in order to divide fractions (in this case we would have 11 as a fraction), you need to multiply one fraction by the reciprocal of the other fraction (the flipped form of a fraction).
To find this, we would do [tex]\frac{11}{1}[/tex] * [tex]\frac{9}{18}[/tex].
This would come to be [tex]\frac{198}{9}[/tex], and when simplified by dividing the numerator and denominator by 9, you get 22.
A nursery owner buys 5 panes of glass to fix some damage to her greenhouse. The 5 panes cost $12.25.Unfortunately ,she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
One pane costs $2.45, therefore 2 panes would cost $4.90. and the combined cost of all seven panes would be $17.15. I got this by dividing 12.25 by 5 and multiplying that by 7 to get 17.15. I hope this helped you with your question :)
The cost of another 2 panes of glass is $4.90.
Explanation:To find the cost of another 2 panes of glass, we first need to determine the cost per pane of glass. Since the nursery owner bought 5 panes of glass for $12.25, we can divide the total cost by the number of panes to get the cost per pane: $12.25 ÷ 5 = $2.45
Since the owner broke 2 more panes, we can multiply the cost per pane by the number of additional panes needed: $2.45 × 2 = $4.90
Therefore, the cost of another 2 panes of glass is $4.90.
Learn more about cost here:https://brainly.com/question/2292799
#SPJ2
factor 4m^2 +16m+15
Split the second term in 4m^2 + 16m + 15 into two terms
4m^2 + 10m + 6m + 15
Factor out the common terms in the first two terms, then in the last two terms
2m(2m + 5) + 3(2m + 5)
Factor out the common term 2m + 5
(2m + 5)(2m + 3)
4m^2 + 16m + 15
With the way the trinomial is, we cannot factor it in it's current state.
We must check to see if splitting the middle term is possible.
List factors of 60
1 * 60
-1 * -60
2 * 30
-2 * -30
3 * 20
-3 * -20
4 * 15
-4 * -15
5 * 12
-5 * -12
6 * 10 (this digits satisfy the criteria for splitting the middle term.)
Split the middle term.
4m^2 + 6m + 10m + 15
Group the polynomials in terms of 2.
(4m^2 + 6m) + (10m + 15)
Factor each binomial.
2m(2m + 3) + 5(2m + 3)
Rearrange the binomials.
(2m + 5)(2m + 3)