The common denominator represent the value is X<2.7.
Get every x term on the right side and every constant term on the left to begin.
1/5+1/3 X>1/2 X-1/4
1/5+1/4+1/3 X>1/2 X
1/5+1/4>1/2 X-1/3 X
The two halves of a fraction are the numerator and the denominator. Any arithmetic operation involving two or more fractions, such as addition or subtraction, is possible if the denominators of the two fractions are the same. To this, the phrase "common denominator" relates.
When two fractions have the same denominator, we refer to them as having common denominators. Common denominators facilitate fractional operations like comparison, addition, and subtraction.
Give common denominators to the terms on each side now.
4/20+5/20>3/6 X-2/6 X
9/20>1/6 X
By multiplying both sides by 6, we may now.
27/10>X
2.7>X
Hence, the common denominator value is X<2.7.
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Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
f(x) = 7_4z
20
What is the value of f (6).?
0-0
10
10
5
O
O
15
Answer:
f(6) = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
substitute x = 6 into f(x)
f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
The left and right page numbers of an open book are two consecutive integers whose sum is 387. Find these page numbers.
The two page numbers are
(Use a comma to separate answers as needed.)
Answer:
193 and 194
Step-by-step explanation:
Left page = X
Right page = X + 1
You know the total sum.
X + (X + 1) = 387
2X + 1 = 387
2X = 387 - 1
2X = 386
X = 193
When you plug X in you get the following;
Left page = 193
Right page = 193 + 1 = 194
Which number is a rational number?
13
16
9
|୯
2
V34
√49
Answer:
49
Step-by-step explanation:
2) Let a =i+2j-7k and b=5i-2j+4K Find
a) a.b
b) axb
C) The direction cosine of axb
D) The Unit Vector Perpendicular to both a&b
a) Dot product: recall that
i • i = j • j = k • k = 1
i • j = i • k = j • k = 0
Then
a • b = (i + 2j - 7k) • (5i - 2j + 4k)
a • b = 5 (i • i) - 4 (j • j) - 28 (k • k)
a • b = 5 - 4 - 28
a • b = -27
b) Cross product: recall that
i × i = j × j = k × k = 0
i × j = -(j × i) = k
j × k = -(k × j) = i
k × i = -(i × k) = j
Then
a × b = (i + 2j - 7k) × (5i - 2j + 4k)
a × b = -2 (i × j) + 4 (i × k) + 10 (j × i) + 8 (j × k) - 35 (k × i) + 14 (k × j)
a × b = -12 (i × j) - 6 (j × k) - 39 (k × i)
a × b = -6i - 39j - 12k
c) Recall the dot product identity
x • y = ||x|| ||y|| cos(θ)
We have
||a × b|| = √((-6)² + (-39)² + (-12)²) = 9√21
Then the direction cosines α, β, γ of a × b are
(a × b) • i = ||a × b|| ||i|| cos(α)
⇒ cos(α) = -6/(9√21) = -2/(3√21)
(a × b) • j = ||a × b|| ||j|| cos(β)
⇒ cos(β) = -39/(9√21)
(a × b) • k = ||a × b|| ||k|| cos(γ)
⇒ cos(γ) = -12/(9√21) = -4/(3√21)
d) a × b is perpendicular to both a and b, so we can get a unit vector by scaling this down by its magnitude. This is the same as the vector of direction cosines:
(a × b)/||a × b|| = (-6i - 39j - 12k)/(9√21)
(a × b)/||a × b|| = -2/(3√21) i - 39/(9√21) k - 4/(3√21) k
2x - 3 = -5
What is X?
Answer: x=-1
Step-by-step explanation:
2x - 3 = -5
2x - 3 +3= -5+3
2x=-2
x=-1
Answer:
x = -1
Step-by-step explanation:
To find x, we have to get x by itself.
2x - 3 = -5
Add 3 to both sides
2x - 3 +3 = -5 +3
2x = -2
Divide by 2 to both sides
2x ÷2 = -2 ÷2
x = -1
Have a good rest of your day! :)
Mia has 7 boxes of cherry tarts. Each box has 8 cherry tarts. Explain how to use an open number line to solve.
Use of open number line is
7 boxes of cherry tarts
Each box has 8 cherry tarts.
Total cheny tarts is
[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]
A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.
A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.
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$2,000 is the average price of a square foot. How much would you have to pay if you want to buy a 2 bedroom (1,200 sq ft) apartment in Manhattan ?
Answer:
$2,400,000
Step-by-step explanation:
Just multiply them together
The ticket sales at a movie theater were $4,740. Adult tickets are $15, and senior tickets are $10. The
number of senior tickets sold was 37 less than twice the number of adult tickets. Determine the
number of adult tickets and number of senior tickets sold.
How many adult tickets were sold?
How many senior tickets were sold?
Answer: 291 with a remainder of 375
Step-by-step explanation: What you need to do first is multiply the senior tickets by 37 which is 370. Now subtract 4,740 by 370 which equals 4370. Then divide 4370 by 15. 4370 divided by 15 equals 291. Multiply 291 by 15 (just to find the remainder) which equals 4,365. 4,740 subtracted by 4,365 equals 375. So the answer is 375
Question Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.
Answer:
y = - 2x + 2
Step-by-step explanation:
[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]
[tex]y-8=-2x-6[/tex]
[tex]y=-2x-6+8[/tex]
[tex]y=-2x+2[/tex]
Hope this helps
What transformation carries the parallelogram below onto itself?
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
How to determine the transformation?The coordinates are given as:
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The rule of rotation by 180 degrees is
(x, y) = (-x, -y)
When the above rule is applied, we have
M(-2,3), = T(2,-3)
H(-4,-3) = A(4,3)
A(4,3) = H(-4,-3)
T(2,-3) = M(-2,3)
Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
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Shermika practices basketball for two hours each day. Write an expression for the number of hours she practices in D days
The proportional relation that tells us how many hours she practices basketball in D days is:
H = 2*D
How to write an expression for the number of hours she practices in D days?
We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.
We want to find an expression that relates the number of hours practiced, H, in D days.
If she practices 2 hours per day, then in D days she will practice a total of:
H = 2*D
This is just a proportional relation that tells us how many hours she practices basketball in D days.
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9x = 7x + 22 need help
Answer:
x=11
Step-by-step explanation:
9x=7x+22
9x-7x=22
2x=22
2x/2=22/2
x=11
commencement of business with cash 10000 and goods 5000
The answer to given question is given below in detailed manner.
Business Commencement Date means the first date on which the Company or any Affiliate, licensee or sublicensee of the Company makes a commercial sale of any Product within the Field of Activity in the Territory that would generate a payment to the Partnership or the Class A Limited Partners.
Hence here commencement date is not applicable;
for starting capital required=10000+5000
Now adding commencement of business with cash 10000 and goods 5000 as date commencement is not applied here so we get =15000
The capital account is a liability for business this amount is needed to return to investor one day.
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Answer: The answer to given question is given below:
Step-by-step explanation:
Business Commencement Date means the first date on which the Company or any Affiliate, licensee or sublicensee of the Company makes a commercial sale of any Product within the Field of Activity in the Territory that would generate a payment to the Partnership or the Class A Limited Partners.
hence here
commencement date is not applicable;
for starting capital required=10000+5000
=15000
The capital account is a liability for business
this amount is needed to return to investor one day.
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Which of the following is not a function for all values of x?
Answer:
f(X) = ( - X) ½
is the answer
pls brainliest
-14= -4 + u/5
Solve for u
Answer:
u = -50
Step-by-step explanation:
First let's carry the -4 to the other side and get u/5 by itself
-14 = -4 + u/5
+4 +4
-10 = u/5
The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides
-10 = u/5
*5 *5
-50 = u
So u should equal -50.
_____
You can also check this answer by plugging it back into the original problem
-14 = -4 -50/5
-14 = -4 -10
-14 = -14
The statement is true, so -50 is our answer for sure.
Hope this helps :)
Does anyone know the answer to 0.038 ounces to mg? Please
Answer:
1,077.281879 mg is the answer
Communicate and Justify Which is
Greater, 4/7 x 1/4 or 4/7 x 1/6? Explain.
It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
How to illustrate the information?It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.
Therefore 4/7 x 1/4 will be:
= 4/7 × 1/4
= 1/7
Also 4/7 x 1/6 will be:
= 4/7 × 1/6
= 2/21
Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
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Sam had 233 dollars to spend on 7 books. How much did each book cost ?
Answer:
0
3
3
7
2
3
3
-
0
2
3
-
2
1
2
3
-
2
1
2
Step-by-step explanation:
SOOOOOOOOOO THE ANSWER 33 with the reamder of 2
7/20 convertir de fracción a decimal
Answer: 0.35
Step-by-step explanation:
7/20 = 0.35
0.35 x 20 = 7
4 x 13
4x( ) +( )
(4x ) +(4x )
______+______
-1/3y+4x=3 solve for y
Answer: y = 12x − 9
Step-by-step explanation:
Let's solve for y
-1/3y +4x = 3
Step 1: Add -4x to both sides.
4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3
Step 2: Divide both sides by (-1)/3.
-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9
nafissa have eaten 60 apple 1day. so how many apple will she eat within 1week
Answer: 420
Step-by-step explanation:
60 apples per day times 7 days in a week = 420
Please I need help asp!!!
Answer:
See the picture below.
Step-by-step explanation:
Susan Marciano invested part of her $12,000 bonus in a fund that paid 8% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $300 .
Answer:y=mx+b
Step-by-step explanation:
Answer:
Let x be the amount invested in funds that earned 8%.
Then the amount invested in stock that suffered 3% loss is 18,000 - x.
The profit from investment in funds is 8%x
The loss from investment in stock is 3%(18,000 - x).
The net profit is 8%x - 3%(18,000 - x).
As the net profit given in the problem is $780, we have:
8%x - 3%(18,000 - x) = 780
Step-by-step explanation:
How to write an expression for number of tokens needed for v video games if each game takes 4 tokens
Answer: 4v
Step-by-step explanation:
If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.
For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:
v = 3
4*(3) = 12
Rewrite 9/4 as a mixed number
Find the -intercept and the slope of the line 4x8y=3. Write your answers in simplest form.
The slope of the straight line is -1/2 whereas the y-intercept is 3/8.
What is defined as the equation of line in slope intercept form?Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.
Determine the slope first, then the y-intercept. For the time being, just consider if the slope is either positive or negative.The following are the variables that we will begin to use in our function:slope = mb = the y-interceptThe formula is y = mx + b. The variables x and y remain alphabets, but m and b have been replaced by numbers (for example, y = 2x + 4, slope = 2, and y-intercept = 4).Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.
y = mx + b
Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.
The given equation is;
4x + 8y = 3
Re-arranging the equation;
8y = -4x + 3
Divide the whole equation by 8.
y = -4x/8 + 3/8
Further simplifying;
y = -x/2 + 3/8
Comparing the result with the general form of equation.
m = -1/2; which is the slope.
c = 3/8; which is the y-intercept.
Thus, the values for slope and y-intercept are estimated.
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The correct question is-
Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.
If the surface area is 275 square inches, then what is the radius r ? In other words, evaluate r(275) . Round your answer to 2 decimal places.
When the surface area is 275 square inches, the radius is approximately 6.17 inches.
The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.
Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.
Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]
Let the total surface area of the given cylinder be written as A(x).
[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]
Now given A(x)=275 and h=8 inches.
[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]
The radius is 6.17 inches when the surface area is 275.
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Tucker ran five 3/8 miles on Monday and three 3/4 miles on Tuesday how far did you run on both days
Answer:
9/8 mile or 1 and 1/8 mile
Step-by-step explanation:
Add 3/8 + 3/4
LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)