Answer:
Step-by-step explanation:
2x=4y+8
divide by 2
x=2y+4
and x-2y=4
or x=2y+4
so both the equations represent the same line.
Complete the equation: 2^2 – 14x + __ = (_)^2
A. –14; 2 + 14
B. -14; 2 – 14
C. 49; 2 +7
D. 49; r - 7
Andrew lives at an altitude of 135 feet, and his friend Lisa lives at an altitude of -10 feet.
Andrew or Lisa residence is higher than Andrew or Lisa
residence.
Answer:
Andrew's residence is higher
How much would $500 invested at 5% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent
Answer:
$610.70
Step-by-step explanation:
[tex]a = pe^{rt}[/tex]
a = 500 [tex]e^{.05 * 4}[/tex]
a = $610.70
Any help is appreciated!!!!
Answer:
D
Step-by-step explanation:
because 3x - 12y = 15 has only numbers that are divisible by 3 leaving just one single x term, and the other terms simply reduce their used numbers to still integer numbers (4 and 5).
this makes it easier to be used in the other equation.
Hello can someone help me with this problem
Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7
Answer: (-1, 2)
Step-by-step explanation:
Let's start by solving for x in
[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]
We can now sub this value of x in 3x+5y=7 and solve
[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]
Now we can sub in 2 for y in one of the equations
[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]
x=-1 and y=2 giving us the point (-1, 2)
PLEASE HELP!!! PLEASE!!!
What is my average speed if I travel x mph for t hrs and then y mph for t hrs?
Thanks!
Answer:
Average speed = [tex]\frac{(x+y)}{2}[/tex] miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed = [tex]\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}[/tex]
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
= [tex]x\times t[/tex]
= [tex]xt[/tex] miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered = [tex]yt[/tex] miles
Total distance covered by me = [tex](xt+yt)[/tex] miles
Total time taken to cover this distance = [tex]t+t[/tex]
= [tex]2t[/tex] hours
Therefore, expression for the average speed will be,
Average speed = [tex]\frac{xt+yt}{2t}[/tex]
= [tex]\frac{(x+y)t}{2t}[/tex]
= [tex]\frac{x+y}{2}[/tex] miles per hour
An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answer: [tex]55,811.91[/tex]
Step-by-step explanation:
Given
Principal amount is 25,000
Time Period is [tex]t=15\ yr[/tex]
Rate of interest [tex]r=5.5\%[/tex]
Amount in compound interest is given by
[tex]\Rightarrow A=P\left(1+r\%\right)^t[/tex]
Insert the values
[tex]\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91[/tex]
Therefore, [tex]55,811.91[/tex] must be paid back
En una radio, 1/8 del dia esta destinado a emitir publicidad. Del total de publucidad, 3/5 corresponden a comerciales de univercidades. En esta radio,¿que fraccion del tiempo diario corrsponde a publicidad de univercidades.
Respuesta:
3/40
Explicación paso a paso:
Dado :
Fracción de tiempo diario dedicado a publicidad = 1/8
Del tiempo diario dedicado a publicidad, 3/5 corresponde a comerciales de universidad
Fracción del tiempo diario dedicado a la publicidad de las universidades:
3/5 de 1/8
3/5 * 1/8 = (3 * 1) / (5 * 8) = 3/40
A 4-column table with 4 rows. Column 1 is labeled number of friends with entries 3, 5, 7, 9. Column 2 is labeled Carnival Cost with entries 51.5, 75.5, 99.5, 123.5. Column 3 is labeled Aquarium Cost with entries 43.5, 72.5, 101.5, 130.5. Column 4 is labeled Wave Pool Cost with entries 50.25, 61.25, 85.75, 110.25.
Gale wants to compare the cost of the events.
Aquarium: $14.50 each ticket
Carnival: c = 15.5 + 12f
Wave pool: $16.75 each, but $12.25 each for groups larger than 4
Which of the claims Gale makes is true?
The table represents all possibilities.
The carnival always costs the least.
The Aquarium always costs the most.
(7, 101.5) is an ordered pair used to represent the aquarium cost.
Answer:
D.(7, 101.5) is an ordered pair used to represent the aquarium cost.
Hope it helps :)
Step-by-step explanation:
Answer: it is d - (7, 101.5) is an ordered pair used to represent the aquarium cost
Step-by-step explanation: got it right on edge 2022
[tex]\text{Solve for 'x'.}\\\\3x + 15 = 33\\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x=6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=6
Step-by-step explanation:
3x+15=33
or as, 3x=33-15
or as, 3x=18
x=18/3=6
so we got 6 is the answer
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)
Answer:
The remainder will be 3.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).
Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).
We can rewrite the binomial as (x - (-1)).
Therefore, a = -1.
Then the remainder will be P(-1).
Looking at the graph, we can see that P(-1) = 3.
Thus, the remainder when P(x) is divided by (x + 1) is 3.
Answer:
The remainder is 3 :)
Step-by-step explanation:
please mark me as brainliest
what is the value of x? no links.
Answer:
X= 115 is the answer
because it is corresponding angel they are equal
Answer:
X = 115 since the x and the other angle looks like they correspond to each other
Step-by-step explanation:
AYUDAAAA, LES DOY CINCO ESTRELLAS SI LO RESUELVEN BIEN
dividido por la epotenusa es 7 :v
find the sum or difference of the following ( simplify all answers)
a) 1/5 + 3/5=
b) 5/8-1/8=
c) 8/9 + 4/9 =
d) 3/5+ 1/10=
e) 2/3 +3/4=
f) 4/5- 1/3=
A sweater is on sale for $45.00, down from $75.00. What is the
percent of discount of the sweater?
A. 50%
B. 30%
C. 55%
D. 40%
Answer:
D
Step-by-step explanation:
The percentage of discount on the sweater will be 40%. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a sweater is on sale for $45.00, down from $75.00. The percentage discount will be calculated as:-
Percentage discount = (75 - 45) / 75
Percentage discount = ( 30 / 75 )
Percentage discount = 0.4 x 100 = 40%
Therefore, the percentage of discount on the sweater will be 40%. The correct option is D.
To know more about percentages follow
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You want to randomly arrange 4 discs in a CD rack. What is the probability that the rack ends up in alphabetical order
Answer:
The probability is 1/24
Step-by-step explanation:
The total number of possible arrangements is;
4! = 4 * 3 * 2 * 1 = 24
Now, out of all these, there is only one possible correct alphabetical arrangement
so, to get this probability, we have to divide 1 by the total number of possible arrangements
we have this simply as 1/24
Five students are lined up in a row. How
many arrangements could be made if
the position of the last boy remains
unchanged?
(WAEC)
Step-by-step explanation:
16 arrangement can be done
The 24 arrangements could be made if the position of the last boy remains unchanged.
Arrangement
Arrangement is a plans or preparations for a future event.
How to solve this problem?The steps are as follow:
Given, Five students are lined up in a rowWe have make the arrangment such that last boy should remain unchangedTo find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.x! , where,! is factorial
x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))
In this case we have to take x equal to 4 because last boy to remain unchanged∴ 4*3*2*1 = 24 arrangments
Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.
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I need help
Please
I hate math
Find the measure of the missing angle using the triangle angle sum theorem
Answer:
m∠60
Step-by-step explanation:
30 + 90 = 120
180-120=60
Answer:
x = 60°
Step-by-step explanation:
A triangle is equal to 180°
Make an equation and solve:
30° + 90° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°
Graph each equation by using the y-intercept and slope
y=-x-4
Y-int=______
Slope=_____
whats the y-intercept and slope for this equation?
Answers:
y intercept = -4
slope = -1
==========================================
Explanation:
The given equation is the same as y = -1x + (-4)
Compare this to y = mx+b form, and we see that
m = -1 is the slope
b = -4 is the y intercept
To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.
Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 = -1/1.
what is the equation of the line shown?
Answer:
y=1/2x+1/2
Step-by-step explanation:
the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2
The equation of line is y= 1/2x+ 1/2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the graph as (-1, 0) and (3, 2).
So, slope of line = (2 - 0)/ (3 -(-1))
= 2/4
= 1/2
Now, slope- intercept form
y- 0 = 1/2 ( x-(-1))
y= 1/2x + 1/2
Hence, the equation of line is y= 1/2x+ 1/2
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if x = 3 and y = 2, then the value of ( x - y )(x² + xy + y²) is
(a) 31 (b) 19 (c) 1 (d) 25
Answer:
19
Step-by-step explanation:
(3-2)(3^2+3x2+2^2)
(1)(9+6+4)
(1)(19)
[tex]\displaystyle\bf \underbrace{ (x-y)(x^2+xy+y^2)}}_{x^3-y^3}=3^3-2^3=19\\\\Answer: b)19[/tex]
what is the sum of all the exterior angle of a polygon
Answer:
From what I learn it is 360 degrees
Which of the following are square roots of the number below? Check all that
apply.
196
A. -14
B. 196^1/2
C. 14
D. 98
E. 7
F. -196^1/2
Answer:
B. 196^1/2
C. 14
Step-by-step explanation:
Square root of 196=14
196^1/2=14
What is the slope of the line? What is the y-intercept of the line? y = 1/2x + 7
Answer:
slope= 1/2
y-intercept= 0,7
Answer:
slope = 1/2 or 0.5, the y-intercept is (0,7)
Step-by-step explanation:
Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?
Answer:
Step 3
Step-by-step explanation:
Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?
Given :
4(x - 1/5) = 2 2/3
Open the bracket
4x - 4/5 = 2 2/3
Add 4/5 to both sides
4x - 4/5 + 4/5 = 8/3 + 4/5
Lcm of 3 and 5 = 15
4x = (40 + 12) / 15
4x = 40/15 + 12/15
4x = 52/15
Multiply by 1/4
4x * 1/4 = 52/15 * 1/4
x = 52 / 60
x = 13 / 15
Hence, the error is in step 3
15/5 * 3 = 12
Rather ; Leonardo wrote 16
HELP WILL GIVE BRAINLIEST
Answer:
A. hexagonal prism
Step-by-step explanation:
The box has 2 congruent hexagons as bases, and 6 congruent rectangles as sides.
Answer: hexagonal prism
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Helpppppp and explain toooo thankyouuuu
Step 1: Distribute
5x + 10 - 3x > 7 - 4x + 12
Step 2: Combine like terms
2x + 10 > -4x + 19
Step 3: Move all variable terms to one side, and all constants to the other
6x + 10 > 19
6x > 9
Step 4: Divide
x > 9 / 6
x > 1.5
Hope this helps!
