Answer:
5x - y = 3
Step-by-step explanation:
Standard form of a linear equation is expressed as Ax + By = C
In order to express the given equation in this form, we need to isolate the constant. We can achieve this by subtracting 5x from both sides:
y = 5x - 3
y - 5x = -3
If possible, we want A to be positive, so we can multiply both sides by -1:
-1(y - 5x) = -1(-3)
-y + 5x = 3 or 5x - y = 3
Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year
Answer: revenue from last year 20n
number of cards sold this year if students sell 200 more cards than last year n + 200
revenue this year if student sell 200 more cards than last year 20(n + 200)
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.
1.) Revenue from last year
Revenue = Number of tickets sold last year × Cost of each ticket
= n × $20
= 20n
2.) Number of cards sold this year if students sell 200 more cards than last year
Number of cards sold this year = Number of tickets sold last year + 200
= n + 200
3.) Revenue this year if students sell 200 more cards than last year
Revenue this year = Number of cards sold this year × Cost of each ticket
= (n + 200) × 20
= 20(n+200)
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A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Step-by-step explanation:Equation of line perpendicular to , x=4 is
y +k=0
As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0
As, given the line perpendicular to, x =4, passes through the point (5,7).
So, y+k =0, passes through (5,7).
→ 7 +k=0
→ k= -7
So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.
does the equation have roots? if yes, find them.
x^2=32
Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
Help anyone please and thank you
the answer would 1/4 of a gallon
simply because 4 of the containers equals one gallon
Write the decimal as a fraction in simplest form.
5. -18.04
Answer: - [tex]\frac{451}{25}[/tex]
Step-by-step explanation:
Find the sum: -1 + 4 + 9 + ... + 64
Answer:
= 78
Step-by-step explanation:
Step One:
1 + 4= 5
Step Two:
5+9= 14
Step Three:
14+64= 78
= 78
Hope it helps :)
Answer: 441
Step-by-step explanation:
The formula for an arithmetic sum is
[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]
We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like
---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------
-1 0 1 2 3 4 5 6 7 8 9 10 11 ...
You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is
[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12
A) 6+3x < 12
B) 6-3x < 12
C)12<6+3x
D) 12 < 6-3x
***All of them have a line underneath the <****
Answer:
Step-by-step explanation
c
Please answer ASAP!! And not just for points..thank ya:)
Answer:
It should be 24
Step-by-step explanation:
Sorry if this is wrong
Step-by-step explanation:
Separate it into 2 figures.
the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.
3 × 8 = 24
5 × 4 = 20
20 + 24 = 44
The area of the figure is 44 square meters.
ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is less than or equal to -1
B. x is greater than or equal to -1
C. x is less than or equal to 0
D. x is greater than or equal to 0
Answer:
Step-by-step explanation:
A. If you need proof message me.
Answer:
D
Step-by-step explanation:
its correct
What is the output of y= 2/3x −4 when the input is 18?
Answer:
output = 8
Step-by-step explanation:
1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.
Keep in mind that the input is x, and the output is y.2. (Solving)
[tex]y=\frac{2}{3}(18)-4[/tex] [tex]y = \frac{36}{3}-4[/tex] [tex]y = 12 - 4[/tex] [tex]y = 8[/tex]Therefore, the output is 8.
An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The output of y= (2/3)x −4 when the input is 18 are,
y = (2/3)x - 4
y = (2/3)18 - 4
y = 12 - 4
y = 8
Hence, the output of y= 2/3x −4 when the input is 18 is 8.
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answer this questtion
Answer:
69 degrees
Step-by-step explanation:
Answer:
21gb
Step-by-step explanation:
did the test
find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a
Answer:
d.
took the test
Step-by-step explanation
find the angles marked with with letters
Answer:
<A=67⁰
<B=22⁰
<C=42⁰
Mark me BRAINLIESTAnswer:
a = 67° , b = 26° , c = 69°
Step-by-step explanation:
a and 67° are corresponding angles and are congruent , so
a = 67°
------------------------------------------------------
The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is
b + 34° = 60° ( subtract 34° from both sides )
b = 26°
---------------------------------------------------
The vertex of the triangle and 42° are vertically opposite and are congruent
vertex = 42°
The triangle has 2 equal legs and is isosceles with 2 base angles congruent.
c = [tex]\frac{180-42}{2}[/tex] = [tex]\frac{138}{2}[/tex] = 69°
HELP MEEEEEEEE PLEASE
Answer:
Option A (3/4)
Step-by-step explanation:
Please mark Brainliest
Answer:
THATS CORREC T
Step-by-step explanation:
CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING
Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539. 70 every year. If Andrew owns 105 shares of Hyren Airlines, how big is the dividend each share yields? a. $3. 60 b. $2. 78 c. $5. 67 d. $5. 14.
Answer:
the answer to your question is B $3.60
Isolate the x
x + y/3 = 5
Answer:
x = 5 - y/3
Step-by-step explanation:
What is 66% of 350? helpp
Answer:
231
Step-by-step explanation:
Answer:
Write 66% as
66/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
66/100
of 350 =
66/100× 350
Therefore, the answer is 231
If you are using a calculator, simply enter 66÷100×350 which will give you 231 as the answer.
Step-by-step explanation:
Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.
Answer:
All these statements are true. See explanations, below.
Step-by-step explanation:
A Line 4y = -16 is horizontal. TRUE. Note that y = -4 here.
B. Line 3x = 27 is vertical. TRUE. Note that x = 9, which is a vertical line.
C. For both lines, all points on the line have an x- and a y-coordinate. TRUE. But for 4y = -16, the y-coordinate is always the same: -4; for x = 9, the x-coordinate is always the same.
D. For either line, one of the coordinates of all the points is always the same value. TRUE (See C above)
If 2 gallons of milk cost $8.00, how much is 1 quart of milk?
(100,160), (500,680) in slope intercept form
Answer:
520/400
so y = 520/400 + b
Step-by-step explanation:
can someone please help me please
Answer:
Letter b
Step-by-step explanation:
because it is
Please help me please help meeee please
Answer:
The answer is D
Step-by-step explanation:
[tex]-------------------[/tex]
12+2=
PLS HELP ASAP ILL GIVE BRAINLKEST PLS ANSWER ITS FOR TOMORROW TEST PLSSS THANKS
A number "n" is a minimum of 6 .
n is greater than (>) or equal to (=) 6 .
n can be 6 or more.
4 * 4 * 4 * 5 * 5
help please
Answer:
=1600
Step-by-step explanation:
=4*4*4*5*5
=16*4*25
=64*25
=1600
Hope this helps, have a nice day/night! :D
help please i need help
Answer:
what do you need help on with this and maybe i can help....
Step-by-step explanation:
I don’t know what I got wrong on this problem. Can someone please help me?
Answer:
x is equal to the length of that side of the triangle, the x is written on (the distance between the log ride and the pirate ship). You can visually see that both of the long sides of that triangle are equal. See how they look the same? The other side of that triangle (the distance between the Big Top Tent and the Pirate Ship) has a given length written, it says "25 m." So the x side, which is equal is also 25 m. The value of x is 25 m.
Step-by-step explanation:
what is the x intercept?
Answerrrrrrrrrr:
- 7/6