Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:
[tex]108:(2)(2)(3)(3)(3)=(2^{2})(3^{3})\\ 72:(2)(2)(2)(3)(3)=(2^{3})(3^{2})[/tex]
3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:
[tex](2^{2})(3^{2})=(4)(9)=36[/tex]
Answer: He needs 36 cm to make the shelves.
Step-by-step explanation:
Since we have given that
Length of first wood = 108 cm
Length of second wood = 72 cm
We need to find the greatest length so that he can make the shelves.
Greatest length = h.c.f. of 108 and 72 { 36 cm.
Hence, he needs 36 cm to make the shelves.
My favorite songstress gives away 25% of the sales of the signature fragrance collection to her charity. Last month her sales were $1,200. How many much of her total sales did she donate
She donated
$
300
to her charity.
Explanation:
The amount
(
x
)
given in charity on
$
1200
sales at
25
%
is:
x
=
1200
×
25
100
x
=
12
00
×
25
1
00
x
=
12
×
25
x
=
300
Two hikers stopped for a snack. They shared 2/3 of a pound of trail mix. If the hikers shared the trail mix equally, how much trail mix did each hiker get?
each hiker gets 1 1/2
i hope this helped
Answer:
1/3 is the answer
Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the largest number
Let consecutive odd numbers be
x , x+2 , x+4
Smallest number =x
Middle number =x+2
Largest number =x+4
According to condition (x) +(x+2) -27 = 3(x+4)
x+x+2-27= 3(x+4)
2x-25= 3x+12
Subtracting 2x and 12 both sides
2x-25-2x-12=3x+12-2x-12
-37= x this is smallest odd number.
Other two odd numbers are (x+2)= (-37+2)=(-35)
& (x+4)=(-37+4)=(-33)
so three consecutive odd numbers are -37 ,-35 , -33
What is the lowest common denominator for 2/6and3/4
The lowest common denominator would be 12
other words [tex]\frac{4}{12}[/tex] and [tex]\frac{9}{12}[/tex]
to find the lowest common denominator, you need to compare the multiplication product each number can get.
Q(x)=4x^2-1 find Q(-7)
[tex]Solution, \mathrm{Isolate}\:x\:\mathrm{for}\:If\left(I,\:x\right)Q\left(x\right)=4x^2-1:\quad x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]
[tex]Steps: If\left(I,\:x\right)Q\left(x\right)=4x^2-1[/tex]
[tex]\mathrm{Switch\:sides}, 4x^2-1=If\left(I,\:x\right)Q\left(x\right)[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}, 4x^2-1+1=If\left(I,\:x\right)Q\left(x\right)+1[/tex]
[tex]\mathrm{Simplify}, 4x^2=If\left(I,\:x\right)Q\left(x\right)+1[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4, \frac{4x^2}{4}=\frac{If\left(I,\:x\right)Q\left(x\right)}{4}+\frac{1}{4}[/tex]
[tex]\mathrm{Simplify}, x^2=\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}, x=\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\:x=-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]
The correct answer is [tex]x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]
Solve (-16.1)•9.4•(-7.2)=x•(-7.2)•(-16.1)
Hey there! :)
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
all numbers that have 9 as a factor also have 2 as a factor ?
True or False
Numbers with factors of 9:
18, 27, 36, 45, 54, 63, 72, 81
18, 36, 54 and 72 may have factors of 2, but the other do not.
This means that not all numbers with 9 as a factor will also have 2 as a factor.
1.Hannah walked the same number of miles each day for 5 days. Let m represent the total number of miles Hannah walked. Write a linear expression for the total number of miles she walked.
2.Jimmy brought 2 books per day to the book drive. Peter brought 4 books per day to the book drive. Let d represent the number of days of the book drive. Write a linear expression to represent the total number of books they brought.
3.Patricia buys clothes that are on sale with a 30% discount. Let c represent the cost of the clothes. Write a linear expression for the cost of the clothes.
4.A family of four had dinner together at a restaurant. Write two expressions for calculating their total bill if they leave a 15% tip. Let c represent the cost of their meal before tipping.
5.Tommy has $40 in his pocket. He sees a pair of pants that cost $37 and wants to buy them. If there's 10% sales tax where Tommy lives, can he afford to buy the pants? Write a linear expression and use it to solve the problem.
6.Add the expressions x + 18 and 3x − 12.
7.Subtract 3x − 4 from 5x + 7.
8.Subtract −4x + 1 from x − 2.
1) Given m represent the total number of miles Hannah walked.
Let us assume Hannah walked x miles each day.
So total number of miles Hannah walked in 5 days is m=5x.
2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.
If d is the number of days the book drive, total number of books they brought
=total number books brought by Jimmy+ total number of books brought by Peter
= 2d+4d = 6d
3) Given that c represent cost of the clothes.
Then 30% discount = 0.3c
Hence cost of the clothes = c-0.3c = 0.7c
4) Given c represent the cost of their meal before tipping.
And tip is 15% of the cost.
Hence tip = 0.15c
Hence total bill = c+0.15c=1.15c
5) Given that Tommy had 40$ in his pocket.
And pair of pants cost 37$ with 10% sales tax.
Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$
Hence Tommy cannot afford the pants with 40$ in his pocket.
For following problems, we should group the like terms together and then simplify.
6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4
7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11
8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3
Is this correct??please tell me
7(4n-6)= - 182
28n-42= -182
+42 +42
28n/28= -140/28
n= -5
This is incorrect, 7x4n=28n and -7x6=-42. There is no way to get -182.
PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU
Find the value of x that makes m || n
Answer:
[tex]107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ[/tex]
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
[tex]x+73^\circ=180^\circ[/tex]
[tex]x=107^\circ[/tex]
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
[tex]147^\circ=x+14^\circ[/tex]
[tex]x=147^\circ-14^\circ[/tex]
[tex]x=133^\circ[/tex]
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
[tex]180^\circ-3x=2x+20^\circ[/tex]
Solving for 'x' we get:
[tex]180^\circ-20^\circ=3x+2x[/tex]
[tex]5x=160^\circ[/tex]
[tex]x=32^\circ[/tex]
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
[tex](7x-11)^\circ=(4x+58)^\circ[/tex]
[tex]7x-4x=58^\circ+11^\circ[/tex]
[tex]3x=69^\circ[/tex]
[tex]x=\frac{69}{3}=23^\circ[/tex]
Find the value of x that will make L||M.
Please help me on this!!!! I need this done ASAP!!!!
The two given angles are Supplementary angles and when added together need to equal 180 degrees.
2x +5 + x-5 = 180
Simplify ( Combine like terms):
3x = 180
Divide both sides by 3:
x = 180 / 3
x = 60
The length of a rectangle is three times it’s width. It’s area is 75 inches squared. Find the length and width of the rectangle
The answer is 225 because 75x3 =225
Final answer:
The length of the rectangle is 15 inches and the width is 5 inches, determined by setting up an equation using the given conditions that the area is 75 square inches and the length is three times the width.
Explanation:
The question asks us to find the length and width of a rectangle given that the length is three times the width and the area of the rectangle is 75 square inches. To solve this, let's denote the width of the rectangle as w inches. The length would then be 3w inches since it is three times the width. The area of a rectangle is found by multiplying the length and width, so we can write the equation:
Area = length × width
75 = 3w × w
To find the width (w), we need to solve the quadratic equation:
w² × 3 = 75
w² = 75 / 3
w² = 25
To find w, we take the square root of 25, which gives us:
w = 5 inches
Now that we have the width, we can easily find the length by multiplying the width by 3:
Length = 3 × 5
Length = 15 inches
Therefore, the width of the rectangle is 5 inches and the length is 15 inches.
Kelly is reading an 858-page book. During the past 6 days she has read 468 pages. At this rate, how many more days will it take her to complete
5 days because she reads 78 pages a day and she has 390 pages left, 78 goes into 390 5 times
the water was pumped out of a backyard pond.what is the domain this graph?
Answer:
C) Real numbers from 0 to 8.
Step-by-step explanation:
We have been given a graph between depth (dependent variable) and time (independent variable). We need to figure out the domain of the given graph.
We know that domain is the set of values of independent variable for which the graph produces a finite value of dependent variable.
From the graph, we can see that for values of time between 0 and 8 minutes, the graph produces a finite value of depth. Therefore, domain of the given graph is all real numbers between 0 and 8 (inclusive).
a ratio of two equivalent measures giving in different units is a ________
Answer:
"conversion factor"
Step-by-step explanation:
Answer:
Conversion factor.
Step-by-step explanation:
A conversion factor may be a ratio of two proportionate measures in completely different units.
The table displays the total cost, y, of purchasing x tickets for the carnival. Which conclusions can you draw from the data shown in the table? Select all that apply. Twelve tickets cost $30.00. Thirty tickets cost $12.00. Each additional ticket costs $2.50. The table is a partial representation. (27.50, 11), (30, 12) and (32.50, 13) are the ordered pairs represented in the table.
Answer:
Twelve tickets cost $30.00.
Each additional ticket costs $2.50.
The table is a partial representation.
Answer:
A C D
Step-by-step explanation:
HELP ASAP I WILL GIV YOU BRAINLIST! Jim ran 200 meters in 30.4 seconds. Mac ran 100 meters in 30.4 seconds. Who ran faster?
You would want to look for who ran the longest distance in the shortest amount of time, Jim ran 200 meters in the same amount of time it took Mac to. Therefore, Jim is faster for that reason.
Answer,
Jim ran faster
-Laura
(4x+2)(3x-7) solve for x and who ever gets it get the brainly crown
The answer is
=12x^2 - 22x - 14
I need help on this question
Because they were flipped and turned
show work please or explain.
1340 units²
There are 2 rectangles 25 × 12, 2 rectangles 25 × 10 and 2 rectangles 12 × 10
SA = 2(25 × 12) + 2(25 × 10) +2(12 × 10)
= 600 + 500 + 240 = 1340 units²
Which statement about the equation is true? x + 2 = x + 4
A.The equation has no solution.
B.The equation has one solution.
C.The equation has infinitely many solutions.
Answer:
The answer would be UNSOLVABLE
this is true because there is no way they can equal the same number
Hope this helped:)
Step-by-step explanation:
what is the solution for 4x-9=3.5x-9?
Answer:
31.5
Step-by-step explanation:
Answer:
31.5
Step-by-step explanation:
Why did the scientist create an exact duplicate of himself
To do his work that he didn't want to do.
what is the prime factorization of 54
Hello there!
This question is so super easy to me.
Explanation:
↓↓↓↓↓↓↓↓↓
First you had to find prime factorization of 54.
[tex]2*3*3*3=54[/tex]
Then you can also written with exponents.
[tex]2*3^3[/tex]
You can also used factors of 54.
Factors of 1, 2, 3, 6, 9, 18, 27, 54
Answer⇒⇒⇒⇒⇒[tex]2*3^3[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
The prime factorization of 54 is [tex]2 \times 3^3[/tex].
Given that,
The number is 54.We have to find out the prime factorization of the above number.Based on the above information, the calculation is as follows:
The prime factorization of 54 is
= [tex]2 \times 3^3[/tex].
Learn more: brainly.com/question/6201432
If 2x=8 what does "x" equal?
measure equivalent to 5 meters
Answer:
since no one got the point on 2018 i will be getting it thxxxx
Step-by-step explanation:
Show your work and solve
Hello again,
You multiply 53 beats to 5 seconds: 53 x 5 = 265
hope that helps :)
Two sides of a rectangular fence are 5 5/8 feet long. The other two sides are 6 1/4 feet long. What is the perimeter?
Help me 15 points on the line
How many fractions are there between any two numbers on a number line?
A.5
B.20
C.100
D.an infinite number
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
Answer:
Infinite number
Step-by-step explanation:
1+2g=-7 how do you do this?
Answer:
you would - 1 to -7 and get -8 then divide -8 by -2 than it would be 4
Step-by-step explanation:
I like my equations to have the variable before the constant.
2g+1=-7
Subtract 1 from the left side. Remember, whatever you do on one side, you MUST do it on the other.
2g=-8
Divide 2 from BOTH sides.
g=-4
Hope this helps!
:)