answer (in words)
FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.
(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)
answer (algebraic/steps for solving)
first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].
[tex]2x+3y=10[/tex] ⇒ [tex]2(5)+3y=10[/tex]then plug in 2 for [tex]y[/tex].
[tex]2(5)+3y=10[/tex] ⇒ [tex]2(5)+3(2)=10[/tex]now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.
[tex]2(5)+3(2)=10[/tex] ⇒ [tex]10 + 3(2) = 10[/tex]multiply 3 · 2.
[tex]10 + 3(2) = 10[/tex] ⇒ [tex]10 + 6 = 10[/tex]add 10 + 6.
[tex]10 + 6 = 10[/tex] ⇒ [tex]16=10[/tex]16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.
i hope this helps! have a great rest of your day <3
If the lengths of the legs of a triangle are 27 cm and 36 cm, what is the length of the hypotenuse, c?
12.
11. Amelia walked for 12 minutes then ran for
32 minutes. What is the ratio for the time
she spent walking to the time she spent
running?
Answer:
9 Miles to be specific 8.95
Step-by-step explanation:
3 miles = 4.83 km
4.83 km = 4830 m
60 seconds X 45 =2700 Seconds
4830 divided by 2700 = 1.78 m/s
you want to know the distance so its speed X time
135 minutes X 60 seconds = 8100 secs
1.78 m/s X 8100 =14418 meters
14418 = 14.418 km
14.418 km = 9 miles
P.S. There is a shorter version but i think this is simpler for me and I use metric units.
The solution to which system of equations has an x-value of 3?
(A) x + 2y =-1; y=3x + 3
(B) 3x – Y= 2; x + 2y=-1
(C) y= 3x + 3; 230 + 3y=0
(D) 2x + 3y=0; x + 2y=-1
Answer:
D)
Step-by-step explanation:
I need help ASAP! And work needs to be shown!
Answer:
32 x p/100 = 40
(Solve for P)
Multiply by 100 on both sides
32x = 4,000
Divide by 32 to get:
X = 125%
(reason why you multiply by 100 is because opposite of division is multiplication and we multiply the number "100" because we always multiply the denominator to both sides when having a fraction so you can solve for p or whatever. And that means p/100 x 100 it means p because since p is not a known value we consider 1/100 x 100 = 1, a variable by itself means 1 so you could just put p by itself next to the number its multiplied by which is 32 so it would be 32p because your multiplying both and the opposite of that would be dividing by 32 on both sides because you are getting rid of the 32 so therefore you will be left with: X = 125)
Simplify each answer into a fraction, Please show work as well!
Answer: 1) 8/15 2) 2 4/9 3) -13/45
Step-by-step explanation:
1/5 + 1/3 = 6/30 + 10/30 = 16/30 = 8/15
2 1/9 + 1/3 = 19/9 + 3/9 = 22/9 = 2 4/9
1/9 - 2/5 = 5/45 - 18/45 = -13/45
-x^2+x+1=0
help please
Answer:
= 1 ± √ 5 over 2
Step-by-step explanation:
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
PLZZZ HELP. Celeste makes 6% Commission on her sales, if her sales for a week total %4580 what is her commission
1. $274
2. $274.50
3. $275.80
4. $272.00
Answer: 3
Step-by-step explanation:
6x – 64 = 2x - 44
solve for x
Answer: x= 5
Step-by-step explanation: subtract 2x from both sides eliminating 2x.
4x-64=-44 add 64 to both sides eliminating -64
4x=20 divide by 4
20/4 = 5
4x/4 = x
x= 5
Hope this helps :)
Andros has an oil fired heating system. In 30 days period he used a full tank of oil at a constant rate per day . At a different time of the year the amount of oil andros uses per day is 1/3 of the rate used in 30 days period . How many days should a full tank of oil last at this new rate
Answer:
90 days
Step-by-step explanation:
Let the rate per day for the 30 days period be x
Given that the rate drops to 1/3 of the rate used in 30 days period, it means that the new rate
= 1/3 x
If at a rate of x, the full tank runs for 30 days
at a rate of 1/3 x, the full tank would run for
= x/ (1/3 x) * 30 days
= 3 * 30 days
= 90 days
At the new rate, the full tank of oil will last for 90 days
Answers could be al in photo or 16
Answer:
803.84 Cm Squared
Step-by-step explanation:
A= π r2
A = 3.14 times 16 squared
A = 803.84
Tickets for a school play cost $5 for adults and $2 for students. At the end of the play, the
school sold a total of 85 tickets and collected $290.
What is the number of adult tickets sold?
Investment firm claims that the mean increase in price per share companies invest in is $1.95 per share every year and national sample of 100 company shows that the mean increase in price per share is $1.82 per year the standard deviation of share price is nationally is $.30 what is the margin of error
Answer:
The Margin of Error in percentage is 5.88%
Step-by-step explanation:
The values of the factors in the question are;
The mean increase in price per share, = $1.95
The number of companies in the sample, n = 100
The mean increase in price per share, [tex]\overline x[/tex] = $1.82
The standard deviation of the population, σ = $0.30
The margin of error, MOE, is given by the following formula;
[tex]Margin \ of \ Error= z \times \dfrac{\sigma}{\sqrt{n} }[/tex]
Where;
z = z-score, critical value = 1.96 at 95%
σ = The standard deviation of the population = $0.30
n = The sample size = 100
Therefore, we have;
[tex]Margin \ of \ Error= 1.96 \times \dfrac{0.3}{\sqrt{100} } = 0.0588[/tex]
The Margin of Error in percentage = 0.0588 × 100 = 58.8%
The Margin of Error in percentage = 5.88%
The equation below describes a parabola of a is positive which way does the parabola open? X=ay2
Answer:
If a is positive, the parabola will open to the right, so the answer is C
Step-by-step explanation:
are of circle find.
Answer:
379.94
Step-by-step explanation:
11 squared is 122
Times 3.14 is 379.94
brebjfhewiufhuhrehoiwhewiueweobnwqjkfrjoighrf.
Combine like terms to simplify the following expression:
12x + 4y - 3x + 2 - 8y2 + 3^2
Answer:
−8y^2+9x+4y+11
Step-by-step explanation:
=12x+4y+−3x+2+−8y^2+9
Combine Like Terms:
=12x+4y+−3x+2+−8y^2+9
=(−8y^2)+(12x+−3x)+(4y)+(2+9)
=−8y^2+9x+4y+11
Good luck <3
Answer:
-8y^2+9x+4y+8
Step-by-step explanation:
^ refers to squared in my answer
find the value of given expression
[tex] \sqrt{200 \div 2} [/tex]
Answer:
10 Ans.......
Step-by-step explanation:
Given:
=√200÷ 2
Solution:
= √200÷2
= √100
= 10 Answer......
PLS ANSWER
WILL GIVE BRAINLIEST
Answer:
10 days.
Step-by-step explanation:
If you just multiply 5 days x 2 it doubles 25 liters which is pretty simple, and doesn't need to much explanation. I hope that helps :)
find the value of given expression
[tex] \sqrt{35 \times 35} [/tex]
Answer:
√{35×35}=√35²=35 is your answer
Answer:
35 is your answer
Step-by-step explanation:
.......
What is the answer to 18+6•2^2
Answer:
42
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
first you have to multiply your exponent which is 2 x 2 which is 4 then do the problem which is 18 + 6 = 24 x 4 = 96
what will we end up with when we substitute into the formula?
is the number of calories proportional to the number of miles?
Answer:
it depends on the amount of miles
Step-by-step explanation:
Help me please with the steps on how you can find the number of solutions or zeros with these questions!
Answer:
2x²+5x-9=0
using quadratic formula
a=2 b=5 c=-9
x=[-5±√5²-4(2)(-9)]/2(2)
x=[-5±√97]/4
the zeros are( -5±√97)/4
I NEED HELP ASAP! PLEASE!!!
To the nearest whole number, what is the value of m?
O 13
O 14
O 43
O 45
Answer:
14
Step-by-step explanation:
Hey only need help with this one problem.
5x+10y-15
thx','
Answer:
5 (x + 2y - 3)
Step-by-step explanation:
5x + 10y - 15 = 5*x + 5*2y - 5*3
= 5* (x + 2y - 3)
WHAT IS THIS ??? I need helppp
Answer: C = 9
Step-by-step explanation:
Answer:
c=10.6
Step-by-step explanation:
In this we need to find c and we know that this is a right triangle
Therefore, I can use the Pythagorean Theorem which is a^2 + b^2 = c^2.
using this we then plug in a=8 and b=7 while c is the hypotenuse.
Now the equation is now 8^2 + 7^2 = c^2. We then solve for c.
8^2 + 7^2 = c^2
64 + 49 = c^2
113 = c^2
√113 = c
c = 10.630145...
Since the questions asks to round to the nearest tenth then the answer would be 10.6
solve the equation
- 10.5 + 9d = 7.5
d= ?
9d= 7.5 +10.5
9d=18
d=18/9
d=2
Pls mark as brainliest
Given that ABCD~JKLM
find the ratio of the perimeter of ABCD to JKLM
Answer:
The ratio of the perimeter of ABCD to JKLM is;
b. 3/5
Step-by-step explanation:
Given that ABCD ~ JKLM, where;
DC and ML are corresponding sides
AD and JM are corresponding sides
AB and JK are corresponding sides
Therefore;
DC/ML = AD/JM = AB/JK
Plugging in the values of the variables gives;
9/15 = z/10 = x/12
∴ z = 10×9/15 = 6
x = 12×9/15 = 7.2
9/15 = 6/y
y = 6 ×15/9 = 10
The perimeter of the quadrilateral ABCD = AB + BC + DC + AD
∴ The perimeter of the quadrilateral ABCD = 6 + 6 + 9 + 7.2 = 28.2
The perimeter of the quadrilateral JKLM = JK + JM + ML + LK
∴ The perimeter of the quadrilateral JKLM = 12 + 10 + 15 + 10 = 47
The ratio of the perimeter of ABCD to JKLM = 28.2/47 =0.6 = 3/5.
Doug is playing a video game called Explore the Desert. In the game, he buys a
magic donkey and three jugs of water. The magic donkey costs 25 gold coins and
each jug of water costs two gold coins. How many gold coins does Doug spend?
Answer:
31
Step-by-step explanation: