A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The solution of the equation is (0,8)
What is system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Given information-
The first equitation given in the problem is,
[tex]-5x+5y = 40[/tex]
Divide both side of the above equation with 5 as,
[tex]\dfrac{(-5x+5y )}{5}= \dfrac{40}{5}\\-x+y=8\\y=8+x[/tex] .......1
Let the above equation as equitation 1.
The first equitation given in the problem is,
[tex]4x+ 3y = 24[/tex]
Put the value of y form the equation 1 in the above equation as,
[tex]\begin{aligned}4x+ 3(x+8) &= 24\\4x+ 3x+24 &= 24\\4x+ 3x &= 24-24\\7x&=0\\x&=0\\\end[/tex]
Put the value of x in the equation one as,
[tex]y=8+0\\y=8[/tex]
Thus the solution of the equation is (0,8)
Learn more about the system of equations here;
https://brainly.com/question/13729904
milla ran 3 miles in 21 minutes Fatima ran 5 miles in 35 minutes are the ratios of miles to minutes equivalent
Answer:
31
Step-by-step explanation:. you have to dived 19 by 3 and get 6.3 then you multiply 6.3*5 and get 31.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP
Answer:
A. N and Q
Step-by-step explanation:
Look at the order of the triangles: MNL and PQR
MNL and PQR
They are both ordered in the middle, whereas others like M and Q are not. For example, M is ordered first and Q is middle.
N and Q match - The correct letters will always align in the order
Answer:
a. ∠N and ∠Q
Step-by-step explanation:
∠N and ∠Q are the pair of angle which are corresponding congruent angles as they have the same angles and matches with each other.
one-ninth the sum of 12 and 15
Pls solve this!!!!! Points!!!!!!!
Answer:
1
Step-by-step explanation:
Given that both equations are equal, solve the distributive property and then just solve for X:
2x + 2(3x-1) = 3(x+1)
2x + 6x - 2 = 3x + 3
5x = 5
x = 1
Therefore, the value of X is 1.
To know the perimeter of the triangle, we apply the value of X to solve the equation.
3(x + 1)
3(1 + 1)
3 + 3 = 6.
Therefore, each figure's perimeter is 6, as both are equal.
how to pronouse this: (a+b)
Answer:
it would just be (a plus b) or (variable plus another variable)
Step-by-step explanation:
How many different ways can a cube be sliced into 2 equal halves?
There are 15 /2 are the ways can be sliced into 2
The different ways can a cube be sliced into 2 equal halves will be 3.
What is Geometry?One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.
The number of different ways is given as,
The cube is separated through its edge.The cube is separated face diagonally through its face.The cube is separated through its body diagonally.The different ways can a cube be sliced into 2 equal halves will be 3.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ6
Michael buys a new jacket for 90 dollars. Sales tax is 8%. How much does Michael actually have to pay?
Answer:
$97.20
Step-by-step explanation:
he pays 90 dollars for the jacket
sales tax is 8% of the 90 dollars that he payed
so we can convert 8% to a decimal by moving the decimal 2 to the left. 8% to 0.08
now multiply 90*0.08 to find the sales taxes
90*0.08= 7.20
so we just add $7.20 to $90
and we get $97.20
Find the slope of the line y=-8x
Answer:
slope (m) = -8.
Step-by-step explanation:
Slope-intercept form is y = mx + b, in which:
m = slope
b = y-intercept
x = (x , y)
y = (x , y)
~
With the given information on top, it means that -8 is your answer.
~
Hey, There !
How to find the slope of the line of y = -8x ?Your answer will be is :
slope (m) = -8
EXPLANATION :
The "slope-intercept" is form is y = mx + b, when m is the slope and b is the y-intercept.
[tex]y~=~mx~+~b[/tex]
Using the slope-intercept form, the slope is -8
[tex]m~=~-8[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace ~
I need help on this please help
Find the length of SM.
we have: SM = TM
So: 2x + 3 = 4x - 7
=> 2x - 4x = -7 - 3
=> - 2x = - 10
=> x = (-10) / (-2) = 5
=> SM = 2 × 5 + 3 = 10 + 3 = 13
Answer: 13
Ok done. Thank to me :>
Factor. 9x^2−49y^2
Enter your answer in the box
Answer:
3x-7y
Step-by-step explanation:
9x^2 - 49y^2
find the square root of a values
=3x-7y
A = {multiples of 2}, B = {multiples of 3), C = {multiples of 7}.
If n(A n B n C} = 1 what can you say about $(the universal set).
Let's check the sets
A={2,4,6,8,..}B={3,6,9..}C={7,14,21..}Find LCM
2×3×7=42(AnBnC)={42}Recreate the sets
A={2,4,6,8,10,12..,42}B={3,6,9,..,42}C={7,14..42}Now
n(A)=21n(B)=14n(C)=6Hence
Universal Set =U
[tex]\\ \sf\longmapsto U\in R^{+}-\{2,3,4,6,7,8,9,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40 ,42\}[/tex]
Erin deposited $400 in a saving account earning 3% yearly compound interest. write an equation to represent how much money (y) Erin would have after (x) years. use your equation to determine how much money Erin would have in the account after 15 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount \underline{in 15 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$400\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yeary, thus once} \end{array}\dotfill &1\\ t=years\dotfill &15 \end{cases}[/tex]
[tex]A=400\left(1+\frac{0.03}{1}\right)^{1\cdot 15}\implies A=400(1.03)^{15}\implies A\approx 623.19 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=400(1.03)^x~\hfill[/tex]
[tex]5\left(9-x\right)+3=23[/tex]
[tex]\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
[tex]\sf\longmapsto 5( - x) + 3 = 23[/tex]
[tex]\sf\longmapsto - 5 + 3 = 23[/tex]
[tex]\sf\longmapsto - 5x + 3 = 23 - 3[/tex]
[tex]\sf\longmapsto - 5x = 20[/tex]
[tex]\sf\longmapsto x = \frac{20}{5} [/tex]
[tex]\sf\longmapsto x = - 4[/tex]
Hope it helps ~
Step-by-step explanation:
Given that:
5(9 - x) + 3 = 23
Multiply the number outside of the bracket with numbers in the bracket on LHS.
⇛45 - 5x + 3 = 23
Shift constants from LHS to RHS, changing it's sign.
⇛-5x = 23 - 45 - 3
⇛-5x = 23 - 42
⇛-5x = -19
Shift the number 5 from LHS to RHS.
⇛x = -19/-5
Therefore, x = 19/5
Please let me know if you have any other questions.
the price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes and was charged $27.75. That same month, Mitch used 70 peak minutes and 30 nonpeak minutes and was charged $36.
The system of equations that can be used to determine the rates of each type of service are:
45x + 50y = $27.75
70x + 30y = $36.
What are simultaneous equations?Simultaneous equations are sets of equations that have to be solved together or at the same time in order to determine the required values. The two above equations have to be solved together in order to determine the cost of the peak and nonpeak services.
The methods that can be used to solve simultaneous equations are:
Graph method Substitution method Elimination methodHere is the complete question: The price of a cellular telephone plan is based on peak and non-peak service. Kelsey used 45 peak minutes and 50 non-peak minutes and was charged $27.75. That same month, Austin used 70 peak minutes and 30 non-peak minutes and was charged $36. Write a system of equations that can be used to determine the rates for each type of service.
Use x for peak minutes and y for non-peak minutes.
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Isabelle scored 528 points and
Brandy scored 285 points in the same
game. Which is the best estimate for
the total number of points scored by
the two girls?
A. about 800 points
B. about 700 points
C. about 500 points
D. about 300 points
Answer:
A. about 800 points
Step-by-step explanation:
how is this possible
heres another on i only have 2 try's I will give you 50 points
Answer:
66 sq
Step-by-step explanation:
144-6-6=132
132/2=66 sq
HELP URGENT
WILL MARK BRAINLIST
if my car uses 16 gallons of gas to travel 200 miles how many gallons will i need to travel 350 miles
help with question...
How do we convert decimal numbers into binary numbers 2483?.
Answer:
Places in binary coding
1 - 2 - 4 - 8 - 16 - 32 - 64 - 128 - 256 - 512 - 1024 - 2048
2483 - 2048 = 435 there is 1 in the 2048 position
435 - 256 = 179 there is 1 in the 256 position
179 - 128 = 51 there is 1 in the 128 position
51 - 32 = 19 there is 1 in the 32 position
19 - 16 = 3 there is 1 in the 16 position
3 - 2 = 1 there is 1 in the 2 position
1 - 1 = 0 there is 1 in the 1 position
10011011 0011 would be the binary result
Check:
2048 + 0 + 0 + 256 + 128 + 0 + 32 + 16 + 0 + 0 + 2 + 1 = 2483
If the measure of angle B is 25° and the measure of angle C is 35°, what is the measure of angle D?
Answer:
120
Step-by-step explanation:
the angle.of all of these is 180 and 35+25+X=180..
60+X=180...... X=120
The measure of angle D is equivalent to 120 degrees.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is that the measure of angle B is 25° and the measure of angle C is 35°.
For the triangle, we can write the measure of angle D as -
∠B + ∠C + ∠D = 180°
25° + 35° + ∠D = 180°
∠D = 180° - 60°
∠D = 120°
Therefore, the measure of angle D is equivalent to 120 degrees.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
#SPJ2
(-6a^5+10a^4+9a^3)(3a^2-2a)
[tex]\\ \tt\hookrightarrow (3a^2-2a)(-6a^5+10a^4+9a^3)[/tex]
[tex]\\ \tt\hookrightarrow 3a^2(-6a^5+10a^4+9a^3)-2a(-6a^5+10a^4+9a^3)[/tex]
[tex]\\ \tt\hookrightarrow -18a^7+30a^6+27a^5+12a^6-20a^5-18a^4[/tex]
[tex]\\ \tt\hookrightarrow -18a^7+42a^6+7a^5-18a^4[/tex]
3(2x) I would love to here the answer to this one!
Answer:
3 x 2x= 6x
Simply multiply 3 by 2 then add the variable.
3 qt = ___ gal (it will be a decimal)
Answer:
.75
Step-by-step explanation:
I know this because 4 quarts = a gallon so if you do 3/4 of a gallon you get .75
A scatter plot is made comparing xx, the number of hours since midnight, with yy, the number of lights turned on in a house. What would a point at (7,8)(7,8) on the scatter plot mean?
Answer:
8 hour mark
Step-by-step explanation:
Answer:
At 7:00a.m., there were 8 lights on.
Tell whether the equation has one, zero, or infinitely many solutions.
3(x - 3) + 4 = 2x - 6
-
This equation has (select)
Answer:
Expand bracket
3x-9+4=2x-6
3x-5=2x-6
+6
3x+1=2x
-2x
1x+1=0
1(x+1)=0
(x+1)=0
-1
x=-1
It has one solution, when y=0, x is - 1.
Eg. when, we substitute x= - 1 into the equation y=1x+1, y = 0
(1 x - 1 + 1 =0)
The solution on a graph will be at the point (-1,0)
Hope this helps!
You bought a winter coat for $48.75. The original price was $75. What percent of the original price did you pay for the coat?
Answer:
65%
Step-by-step explanation:
Percent = (new price ÷ original price) x 100
= (48.75 ÷ 75) x 100
= 65%
Therefore, $48.75 is 65% of the original price of $75.
its all in the screen shot
Answer:
a
Step-by-step explanation:
take nos 5/6 and 1/2
5/6-1/2 = 2/6=1/3
since no had to be added, it should be -1/3 with x
Find the solutions to x2 = 20.
O A. x = +10-12
XE
B. X = +2,5
X =
O C. * = +2./10
O D. x= 1512
X=
Answer:
B.
Step-by-step explanation:
[tex]x^2=20; \ => \ \left[\begin{array}{ccc}x=\sqrt{20} \\x=-\sqrt{20} \end{array} \ => \ \left[\begin{array}{ccc}x=2\sqrt{5} \\x=-2 \sqrt{5} \end{array}[/tex]
What is the area of triangle ABC? Round to the nearest hundredth of a square unit. 17. 75 square units 81. 33 square units 372. 71 square units 957. 74 square units.
The area of the triangle ABC is 81. 33 square units.
We have to determine
What is the area of triangle ABC?
What is the formula for the area of a triangle?The area of the triangle is determined by;
[tex]\rm Area \ of \ triangle = s\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where the value of s is = a + b + c= 12 + 14 + 16 = 42
Substitute all the values in the formula;
[tex]\rm Area \ of \ triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\\rm Area \ of \ triangle = \sqrt{21(21-12)(21-14)(21-16)}\\\\\rm Area \ of \ triangle = \sqrt{(21 \times 9 \times 7 \times 5)}\\\\Area \ of \ triangle =\sqrt{6,615}\\\\Area \ of \ triangle = 81.33[/tex]
Hence, the area of the triangle ABC is 81. 33 square units.
To know more about the Area of the triangle click the link given below.
https://brainly.com/question/9299277
