Answer:
3x+y=15, x+2y=20
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Let this be Equation one :-
2x + 2y = 20 . . . . . . ( 1 )
and this be Equation two :-
3x = 2y. . . . . . . . . . . . .( 2 )
Simplifying equation one:-
↝ 2x + 2y = 20
↝ 2 (x + y) = 20
↝ x + y = 20/2
↝ x + y = (10 × 2)/2
↝ x + y = (10 ×1)/1
↝ x + y = 10
↝y = 10 - x
Put this value of y in Equation two:-
↦ 3x = 2y
↦ 3x = 2(10 - x)
↦ 3x = 2(10) - 2(x)
↦ 3x = 20 - 22x
↦ 3x + 2x = 20
↦ 5x = 20
↦ x = 20/5
↦ x = (4 × 5)/5
↦ x = (4 × 1)/1
↦ x = 4
Now Let's ind Value of y:-
put value of x in the equation one but simplified form.
↝ y = 10 - x
↝ y = 10 - 4
↝ y = 6
Now let Verify either the value of x and y:- .
↦ 2x + 2y = 20
put value of x and y in this equation.
↦ 2(4) + 2(6) = 20
↦ 2 × 4 + 2(6) = 20
↦ 8 + 2(6) = 20
↦ 8 + 2 × 6 = 20
↦ 8 + 12 = 20
↦ 20 = 20
LHS = RHS
.°. First equation is verified ✓.
Now Let's Verify 2 equation:
↝ 3x = 2y
put value of x and y.
↝3(4) = 2(6)
↝ 3 × 4 = 2(6)
↝12 = 2 × 6
↝12 = 12
LHS = RHS
.°. Second equation is verified ✓.
___________________♡~
Required Answer :-
x = 4
y = 6
How many times greater is one gallon than one quart. PLS MY BRAIN IS ABOUT TO EXPLODE IM TO TIRED FOR PRACTICE.
Answer:
Step-by-step explanation:
1 gallon equals 4 quarts
So 1 gallon is 4 times one quart
Hope that helps and take a look at the diagram I attached to help you memorize it!
What is ⅗ + 2 + 1 ⅘ + 1 ⅗ = ?
Answer:
Answer is 6
Step-by-step explanation:
³/₅+2+1⁴/₅+1³/₅
change 1⁴/₅ and 1³/₅ to improper fraction to become ⁹/₅ and ⁸/₅ respectively
Also change 2 to a fraction to become²/₁
³/₅ + ²/₁ + ⁹/₅ + ⁸/₅ =
L.C.M is 5
Divide each value by 5 i.e ³/₅ + ²/₁ + ⁹/₅ +⁸/₅ =3 + 10 + 9 + 8
5
The answer you get is: ³⁰/₅ you divide to get 6
The answer is 6
(GIVING BRAINLYIST) A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of all meteors measured is 16 inches. What is the length of each new meteor?
1 inch
one and one eighth inches
one and two eighths inches
one and three eighths inches
Answer:
one and three eighths inches
Request: Please mark me as the brainliest.
Choose the set of numbers with an average of 7.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20
Answer:
A
Step-by-step explanation:
3 + 5 + 7 + 8 + 12 = 35
35/5 = 7
Answer:
A) 3, 5, 7, 8, 12
Step-by-step explanation:
1) Add all the numbers together (35)
2) divide the sum by the number of numbers added (35/5)
30 35/5=7
samantha walked r retreavers and p poodles on monday. she walked the same number of retreavers and poodles each day tuesday and wednesday. Write an algebraic expression to represent how many total dogs were walked in this 3-day period. please help me with this question
Answer:
(r+p)*3
Step-by-step explanation:
You have to add r+p to find out how many dogs samantha walked in a day.
Then you multiply r+p by 3 to find out how much dogs she walked in three days.
So the expression would be (r+p)*3
I hope this helps <3
also im sorry if its wrong
Katie wants tp buy a bicycle sost $129. This is $24 more than 3 times what she she saved last month. How much did she saved last month?
s= the ammount she saved last month
* show all your step
Answer:
She saved $35 dollars last month.
Step-by-step explanation:
129-24=105=3s
105/3=s=35
She saved $35 dollars last month.
Answer:x=51
Step-by-step explanation:this:129=3x-24+24. +24------------------153=3x--3. 3------------x=51
How do I tell if they are equivalent without a chart?
hey! This is due at like 11 pm!
Answer:
55.6 inches
Step-by-step explanation:
We use the Pythagorean Theorem in this question ~
[tex]a^{2} + b^{2} = c^{2}[/tex]
A = Height (What we are finding in the problem.)
B = Width (77 inches)
C = Diagonal (95 inches)
----------------------------------------------------------------------------------------------------------
a² + (77)² = (95)²
a² + 5929 = 9025
a² = 3096
a = [tex]\sqrt{3096}[/tex] = 55.641710...
Round to the nearest tenth ~
55.641710... ≈ 55.6 inches
Fill in the table. I will pick brainliest.
Answer:
Start: Brown feather % is 97% Grey feather % is 3%
End: Brown feather % is 19% Grey feather % is 81%
Step-by-step explanation:
Start:
There is 700 total feather (679+21) so to get to 100(the denominator for percentages) you have to divide by 7
divide each number by 7(679/7 and 21/7)
and you get 97 and 3 which will be your percentages
End:
There is 740 total feather (140+600) so to get to 100(the denominator for percentages) you have to divide by 7.4
divide each number by 7.7(140/7.4 and 600/7.4)
and you get about 19(rounded) and about 81(rounded) which will be your percentages
Hope this helps!!!
Lin asks Kiran how the diagrams with boxes help with factoring. What should Kiran tell Lin about the boxes?
Answer:
ig it helps you sort out the numbers and keep your work organized and not get numbers mixed
Step-by-step explanation:
can you mark as brainliest
What is the slope of the line passing through (2, -3) and (4, 3)
Answer:
The length of the distance through them is 6 blocks, and the slope is 2 blocks.
Step-by-step explanation:
da picture!
Gratitude attitude - THANKS!
The graph of △LMN has coordinates L(5, 3) , M(2, −3) , and N(1, 2) .
please show the graph too
l( , )
m( , )
n( , )
Answer:
The answer is below.
Step-by-step explanation:
On the line with the X-axis, in this case the horizontal line, is the first number it wants you to plot when it gives you the coordinates. On the line with the Y-axis, in this case the vertical line, is the second number it wants you to plot when it gives you the coordinates. Hope this helps!
Why does the sum of -4 and 3 complain more than the sum of -3 and 5?
(Before you answer this please note that this is a joke! The answer would be
"It's the _ _ _ _ _ _ _ _ _ _ _!" The 11 missing letters include -EIENGEOVANT-
Thank you in advance for your help! ♡
Answer:
Negative
Step-by-step explanation:
-4 + 3 = -1
-3 + 5 = 2
if you scramble the leters, you get negative, and -1 is a negative number
The local school district has made a scale model of the campus of Engels Middle School including a proposed new building. The scale of the model is 1 inch = 3 feet. An existing gymnasium is 8 inches tall in the model. How tall is the actual gymnasium?
The table shows the number of points scored each game for 2 different basketball teams. Find the mean absolute deviation(M. A. D) for both teams.
Answer:
mean:
team 1: 41
team 2: 56
Step-by-step explanation:
add all numbers then divide by how many numbers
If represented in a stem-and-leaf plot, what would be the stem of the number 1457?
1
14
145
Please answer fast I will give brainliest
Answer: The stem would be 145 while the leaf is 7.
Step-by-step explanation: Stem and leaf plots organize statistical date and use one digit as a leaf and the rest of the digits as the stem.
-34 + 91 = -3 (4x + 1) + 6x
[tex]-34 + 91 = -3(4x+1) + 6x\\57 = -12x - 3 + 6x\\6x = -60\\x= -10\\[/tex]
Thus x = -10.
Hope that helps!
Evaluate the expression below when n = 3:
5 + 2n∧2
Answer:
23
Step-by-step explanation:
First, substitute 3 in for n in the equation.
5 + 2(3)^2
Using PEMDAS, we can now solve the equation.
3^2 = 9
9 x 2 = 18
5 + 18 = 23
I hope this helps!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp
[tex]\frac{-6}{11} +(\frac{-3}{11} ) = \frac{-6 + (-3)}{11} = \frac{-9}{11}[/tex]
Hope that helps!
Finding missing sides of quadrilaterals and triangles.
Answer:
AD:WZ Ratio, 15:6 or 5/3
WX is equal to 10, use proportions and cross multiply
LN is equal to 30
UV is equal to 18
Step-by-step explanation:
What is the area of a circle with a diameter of 2
Answer:
the area of a circle is always pi so 3.14159
Step-by-step explanation:
Help pleaseee.
Marla is getting ready to take her exam in 30 minutes. She is so tired, ready to pass out. What can Marla do in 30 minutes to stay awake?
Write your answer in full sentences.
Answer: Um in not quite sure, but ill try my best!
She should keep caffeinated, not with energy drinks but with coffee. Taking a shower always helps to refresh your mind and make your self feel clean. Also she should try to use bright lights or stare at devices, it is scientifically proven that devices keep your brain active. Also she should try to stay as UNCOMFORTABLE as possible, since being comfortable makes you sleepy.
A certain number was multiplied by 3. then, this product was divided by 3. Finally, 5 was subtracted from this quotient, resulting in a difference of -3. what was the number?
please show work and answer
Answer:
2
Step-by-step explanation:
2 x 3= 6
6 divided by 3 = 2
2 - 5 = -3 because it takes the sign of the larger number
Answer:
n = 2
Step-by-step explanation:
Rewrite the problem symbolically and then solve the resulting equation:
Let the unknown number be n. Then:
3n
----- - 5 = - 3
3
Simplifying, we get n = 2 (after having added 5 to both sides and completed the indicated division 3/3)
can someone help me understand
(Please help)
In this polygon, all angles are right angles. What is the area of the polygon? Show your work.
Answer: 1044cm
Step by Step Explanation :
separate the shape into a rectangle and a square. Subtract 46 from 21the rectangular shape is 30cm by 25cm LxW its 750cmthe smaller shape on the side is 21 cm by 14cm LxW its 294.Add. 294cm + 750cm = 1044cm
Can someone help me on this math question?
Answer:
V=whl=7·5·8=280
Step-by-step explanation:
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.
Use a model to solve: (3 points)
one sixth plus three sixths plus one sixth equals
a
three sixths
b
four sixths
c
five sixths
d
six sixths
no links pls
Answer:
d 5/6
Step-by-step explanation:
1/6 + 3/6 +1/6 = 5/6
Decompose the fraction into the sum of its unit fractions. (3 points)
seven tenths
a
one tenth plus one tenth plus one tenth
b one tenth plus one tenth plus one tenth plus one tenth plus one tenth
c one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth
d one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth plus one tenth
please help me!!!! brainliest
Answer:
2/5in x 3/5in
=
(3 x 2) + (5 x 5)
=
6/25
Please help me out with this, i'm about to get grounded bc of this...
Answer:
college b spends more time running
Step-by-step explanation:
um i just multiplied upward then added across the board
A=40
B=72