Answer:
3ny
Step-by-step explanation:
For this problem, the price of a widget is represented by 'n' amount of dollars. Additionally, the store was stocked with 4y widgets.
To find the total cost of the widgets sold, we will use the information that at the end of the day, the store only had y widgets remaining.
From here we can say the following to represent the total cost of the widgets sold:
cost = n * (4y - y)
cost = n * (3y)
cost = n3y
You can rewrite this cost to be 3ny as in the answer choice.
Cheers.
What is the perimeter of a rectangle that
has a length of 9 cm and a width of 6
cm?
A. 54 sq. cm B. 54 cm
C. 30 cm
D. 30 sq. cm
Answer:
The answer is option CStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
l = 9 cm
w = 6 cm
Substitute the values into the above formula and solve
We have
P = 2(9) + 2(6)
= 18 + 12
We have the final answer as
P = 30 cmHope this helps you
Answer: d.30cm
Step-by-step explanation:
the formula for perimeter is P=2L+2W
Substitute the length and width
P= 2(9)+2(6)
Multiply
P= 18+16
Add
P=30
Add the unit
P= 30cm
What is 4+5-52 times 4
Answer:
4+5-52*4=-199
Step-by-step explanation:
An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute?
(There are 60 minutes in 1 hour)
1)First we can start of by dividing 600 by 60
2)You should get the answer of 10
Answer: 10 miles per minute.
Answer: It travels 10 miles per minute
Step-by-step explanation:
Divide 600 by 60
5x-2=8+5y solve for y
Answer:
y = x - 2
Step-by-step explanation:
8 + 5y = 5x - 2
5y = 5x -2 - 8
5y = 5x - 10
5y/5 = (5x - 10)/5
y = x - 2
The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
5x - 2 = 8 + 5y
The above equation represents the linear equation in one variable.
To solve for y make the subject as y
5y = 5x - 2 - 8
5y = 5x - 10
y = (5x - 10)/5
y = x - 2
Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
Learn more about the linear equation here:
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8 minus the quotient of 15 and x
Answer:
[tex]8 - \frac{15}{x}[/tex]
I hope this helps!
Answer:
8 - 15/x
Step-by-step explanation:
Quotient =
[tex]\frac{15}{x}[/tex]
So 8 minus the quotient of 15 and x equals
[tex]8-\frac{15}{x}[/tex]
Desmond builds a set of towers out of blocks. The table shows the number of blocks in each tower. Tower # 1 2 2 3 4 5 Number of blocks 5 10 20 40 80 Which explicit formula correctly represents the number of blocks, an, in terms of the tower number, n? A. an = n + 80 B. an = 2n + 5 C. An = 5(2)n-1 D. an = 10(5)
Answer:
C. An = 5(2)^n-1
Step-by-step explanation:
Tower 1 2 3 4 5
Number of blocks 5 10 20 40 80
Where,
n = tower number
An = number of blocks
A. an = n + 80
B. an = 2n + 5
C. An = 5(2)^n-1
D. an = 10(5)^n
Checking all options
A. An = n + 80
When n = 1
An = 1 + 80
= 81
B. An = 2n + 5
When n = 1
= 2(1) + 5
= 2 + 5
= 7
C. An = 5(2)^n-1
When n = 1
= 5(2)^1-1
= 5(2)^0
2^0 = 1
= 5(1)
= 5
D. An = 10(5)^n
When n = 1
= 10(5)^1
5^1 = 5
= 10(5)
= 50
The explicit formula which correctly represents the number of blocks, an, in terms of the tower number, n is C. An = 5(2)^n-1
Answer:
C
Step-by-step explanation:
I took the map test
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answer:
f(x) = -3x + 4Step-by-step explanation:
Given function:
9x + 3y = 12Putting this into slope-intercept form: y = mx + b
9x + 3y = 123y = -9x + 12y = -3x + 4Replacing y with f(x)
f(x) = -3x + 4Consider this equation 2,900 = 250 + 132.5T. In this situation, what would the solution
to this equation tell us?
Answer:
T = 20Step-by-step explanation:
Given the equation 2,900 = 250 + 132.5T, to get the solution of the equation, we will find the value of T as shown;
From 2,900 = 250 + 132.5T
subtract 250 from both sides;
2,900- 250 = 250 + 132.5T-250
2,650 = 132.5T
Divide both sides by 132.5
132.5T/132.5 = 2650/132.5
T = 20
Hence the solution to the equation tells us that the value of T is 20
What does 3/4 + 1/6 =
Answer:
The answer is 11 /12 or 0.916667
Explanation:
Solve the following equation: 6x - 3x + 13 = 7 + 9x - 6
Answer:
x = 2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
Simplify the expression 8+10p-4-7p
The average hoverboard has a maximum speed of 8 miles per hour. How
many hours would it take Mr. Grigorian to get to school if he lives 18
miles away?
Someone please help me!!!
Answer:
thats easy you don't need help
Step-by-step explanation:
Mrs. Bryant is making 17
Christmas ornaments. It
takes 30 minutes to make
each ornament. If she
begins at 1430, at what
time will she finish?
(Write in military time)
Does anyone know the answer?
Answer:
1=163 degrees
2=×=10 degrees
3=×=3
Step-by-step explanation:
54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees
54x+9x+1-10=180
63x-9=180
63×=180+9
63×=189
63×÷63×=189÷63×
X=3
Angle in bold print is (54x+1)
54×3=162
162+1=163 degrees
No.2 Find x
7x+35+x+65 =180
7x+x+35×65=180
8x+100=180
8x=180-100
8x=80
8x÷8x=80÷8
X=10 degrees
No.3 Find x
54x+1+9x-10=180
54x+9x+1-10=180
63x-9=180
63x=180+9
63x=189
63x÷63x=189÷63
X=3
I hope I was of help
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Answer:
The number is 27
Step-by-step explanation:
Let us change the word statement to an algebraic equation
→ Assume that the number is x
→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2
→ The algebraic expression is 2(x + 3)
→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3
→ The algebraic expression is 3(x - 7)
→ Equate the two expressions
∴ 2(x + 3) = 3(x - 7)
→ Simplify each side
∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6
∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21
∴ 2x + 6 = 3x - 21
Let us solve the equation to find x
→ Subtract 6 from both sides
∴ 2x + 6 - 6 = 3x -21 - 6
∴ 2x = 3x - 21
→ Subtract 3x from both sides
∴ 2x - 3x = 3x - 3x - 27
∴ -x = -27
→ Divide both sides by -1
∴ x = 27
The number is 27
Solve -4(3x – 7) = 52 for x.
Answer:
x = -2
Step-by-step explanation:
First, distribute:
-12x + 28 = 52
Then, subtract 28 on both sides:
-12x = 24
Finally, divide -12 on both sides:
x = -2
Hope this helps!
Answer:
Your answer is x= -2
Step-by-step explanation:
[tex]-4(3x-7)=52[/tex] divide both sides by -4
[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13
[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6
[tex]3x= -6[/tex] divide both sides by 3
[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2
[tex]x=-2[/tex]
I NEED HELP ASAP. BEFORE 4:00
Answer:
The measure of x = 45 degrees
Answer:
x is equal to 50.
Explanation:
The three lines intersect creating a triangle. All angle measures for triangles in Euclidean geometry must have a sum of 180 degrees. Because of the Vertical angles theorem, which states if two angles are opposite they are congruent, this means the angle across from 40 degrees is also 40 degrees. Since we know that the second angle is 90 degrees based on the right angle sign. By adding 40 and 90 you get a sum of 130. Now you subtract 130 from 180. This gives you 50 degrees. Since the Vertical angle theorem states two opposite angles are congruent we know the x is equal to 50 degrees.
-3x + 7= 28
what does x equal
Answer:
x = -7
Step-by-step explanation:
[tex]-3x+7=8[/tex] subtract 7 on both sides
[tex]-3x=21[/tex] divide -3 into both sides
[tex]x=-7[/tex]
To check
-3(-7) = 21 + 7=28
greastest common factor of 24 and 18
Answer: 6
Step-by-step explanation:
the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three
1/cosec theta + cot theta -1/ sin theta=1/sin theta - 1/ cosec theta -cot
theta
Answer:
[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
Step-by-step explanation:
[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]
[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]
[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]
[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]
[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]
[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]
[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]
[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]
Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]
why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square
Answer: A number is a perfect square only if it has a odd number
Step-by-step explanation:
As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.
Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given the first statement
20 is multiple of 3
Since 20/3 given remainder of 3 so it is not multiple.
So the first statement is wrong.
So if the question is saying this it means the question will consider all correct statements as wrong.
Now,
101 is a perfect square is wrong but the question will consider it correct.
Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".
For more about reasoning,
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How do you find the distance of a line segment?
Answer:
Measure the distance from one endpoint to the other.
Answer:
a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y
distance = √(x2-x1)²+(y2-y1)²
example : find distance between two points (2,6) and (3,4) ( find the length of a segment)
d = √(3-2)²+(4-6)
d=√1²+2²
d=√5
Mel and Rob set the alarms on their phones to sound at 6:45am.
Both alarms sound together at 6:45am
Mel’s alarm then sounds every 9 minutes.
Rob’s alarm then sounds every 12 minutes.
At what time will both alarms next sound together?
Answer:
7:21 am
Step-by-step explanation:
9 18 27 36
12 .24 36
36 minutes later
Solve for f please I need help
Answer:
See Below
Step-by-step explanation:
Isolate f
h = 4 + f
-4 -4
h - 4 = f
Or f = h-4
PLEASE HELP!!! 15 PTS FOR THIS!! (Please show work also) Convert y=3x-14 (slope intercept form) to standard form
Answer:
[tex]3x-y=14[/tex]
Step-by-step explanation:
To convert an equation into standard form, we want to get into the form [tex]ax + by = c[/tex].
If we have [tex]y=3x-14[/tex], our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.
[tex]-3x + y = -14[/tex]
I find it easier now to just divide both sides by -1, so that we have a more consistent equation.
[tex]3x - y = 14[/tex]
Hope this helped!
Use mental math to find a solution for 2 over eight= 3over x+2
The Answer: x= −12/7
Translate the following verbal expression into an algebraic expression ... "The quotient of a number and four decreased by five"
Answer:
n/(4-5)
Step-by-step explanation:
A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):
n/(4-5)
Hope this helped!
Describe the transformation from the parent function to f(x)=(x−4)^2
Answer:
t665656yyt5ttr
Step-by-step explanation:
simplify the following expressions ( combine like-terms )
Answer:
x + 5
Step-by-step explanation:
Step 1: Write expression
x + 2 + 3
Step 2: Combine like terms (constants)
x + 5