Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21
Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
___________________________________________
[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]
The basketball team practices 3 and 1/4 hours on Monday and practiced 2 and 1/3 hours on Tuesday. How many hours has the team practiced so far this week?
Answer:
5 7/12
Step-by-step explanation:
3 1/4 + 2 1/3
Multiply the fractions by a number in order to have the same denominator. ( in this case 12)
3 3/12 + 2 4/12
Add straight across
5 7/12
Which equation is represented by the graph below
Answer:
y=ex+4 ok hope you get it right
7/4 as a decimal for my math class, which I am failing at.
Answer:
1.75
Step-by-step explanation:
you divide 7 by 4
7÷4= 1.75
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.About how many pancakes can the restaurant make in two hours?
Answer:
198 pancakes.
Step-by-step explanation:
Answer:
198
Step-by-step explanation:
TRI=ANG GN= HELP ME with this
Answer:
Sup bro your answer is 17
I need help thank you
Answer:
c
Step-by-step explanation:
90+ (50-10)= 130+50=180
Solve the system of equations by graphing.
{y = 3x + 8
{2x - y = 6
Help!! I really don't get it and if you can please give explanation
Answer: 1/20
Step-by-step explanation: = 1+8:36= 9 hours and 36 minutes
= 9+ 36/60= 9 3/5 hours
=48/5
Decrease per hour= 12/25 divided by 48/5
= 12/25 times 5/48= 1/20
Ans 1/20
30% of the swimming team are girls. If there are 18 girls. How many are in the team
altogether?
Answer:
60 people are in the team altogether
Answer:
60
Step-by-step explanation:
to find the percentage of girls on the swim team, you would multiply a number by 30 percent. to find the number in all, you would divide 18 by 30 percent
18/0.3 = 60
there are sixty people on the swimming team
Solve for x plz and thank you smmmm
Answer:
12x-4=80
12x=80+4
=84
x=84÷12
=7
Which one is the correct answer to this
Answer:
C (i think)
Step-by-step explanation
i did the math in my head sorry if it is wrong but i am pretty sure it's C
Please help with #4!!
Answer:
I think if you want to enlarge it add 10 to all three sides to get the sides of 13 16 and 16
- seventy - two times nine
Answer:
-648
Step-by-step explanation:
If that is a negative 72 then it would be -648
If a positive 72, it would be 648.
Hope this helps!
Please help asap! Correct answer gets brainliest
Answer: C - 35
Step-by-step explanation:
If the ratio is 3:5:2 and red books is 21, I believe the answer is C, 35 as 5 times 7 equals to 35.
Answer:
C (35)
Step-by-step explanation:
21 red
There are only 3 red which means you have to find out how you get 21
Find what numbers go with 3
3x7 is 21
mutiply yellow by 7 and get your answer (5x7)
35
Hi I need help with this question please 20 points
Answer:
log 4
--------- that's the answer yw
9
Step-by-step explanation:
$10.00/8 slices is this a unit rate .
Answer:
No
Step-by-step explanation:
Unit rate consists of at least one 1. the unit rate for this would be 1 slice for $1.25
please mark brainliest
Which equation best represents the line graphed above?
Answer: x=2 because for any y value the x value is always 2.
Please help me !!!!!!!!!!!!!!
What is the weight per centimeter
Answer:
ʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔʕ•ﻌ•ʔ
Multiply. Enter the product in simplest form.
3/5 × 2/3
=
Answer:
0.4 or 4/10
Step-by-step explanation:
3. 2 5 4
-- x -- = -- = --
5 3 8 10
y=−1/2x+3 please guys help
Answer:
-1/2? i dunno
Step-by-step explanation:
Answer:
[tex]-1/2[/tex]
Step-by-step explanation:
[tex]-1/2[/tex] is the answer because [tex]-1/2[/tex] is the gradient of the line in the slope. 3 is the y inter. Which is where the line goes over the y-axis.
Hope this helps! (^-^)
Multiply.
40.631.1.07
0 4.347517
0 43.47517
O 434.7517
0 4347.517
Answer:The answer is 43.47517
Step-by-step explanation:
I did the test and reviewed it
Q3).
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Step-by-step explanation:
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given pair of linear equations are
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]
can be rewritten as on multiply by 10,
[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]
From equation (2)[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]
[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]
On substituting the value of y in equation (1), we get
[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]
[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]
[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]
[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]
[tex]\rm :\longmapsto\:29x = 58[/tex]
[tex]\bf\implies \:x = 2 - - - - (4)[/tex]
On substituting x = 2 in equation (3), we get
[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]
[tex]\bf\implies \:y = 3[/tex]
So, we get
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]
VerificationFrom equation (1),
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]
On substituting the value of x and y, we get
[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]
[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]
[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]
Hence, Verified▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Basic Concept :-To solve systems using Method of Substitution, follow this procedure:
1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.
3. Solve the equation to get the value of this variable
4. Substitute the value found in to first equation involving both variables and solve for the other variable.
Solve −163 = −25d .
Multiple choice question.
A)
−403
B)
−3215
C)
3215
D)
403
Answer:
the answer to this question is d
could someone please help answer this thank you, please no spam, will give brainliest, (homework help)
Answer:
I think it's:
w>2
sorry if I'm wrong
HELP PLSSS THIS IS HARD SOMEONE
Answer:
the last choice
Step-by-step explanation:
i mean, you judt gotta find the points of the letters.
you can first find the coordinates of point A, which is 3, 2
based off of that, the rest of the answer choices don't have A as 3, 2.
so, with Process of Elimination, its the last one.
Can someone help me with number 4?
What is the greatest common factor 3x^4, 15x^3 ,21x^2
Answer: 3x^2
Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.
A polygon is translated and then stretched vertically. Which statement is correct?
A.
Neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.
B.
The translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
C.
Both the translation and the vertical stretch preserve side lengths and angles of the preimage.
D.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage is correct statement.
What is translation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
A transformation allows something(shape) to moves, flip, or changes a shape (called the preimage) to create a new shape.
The length or angle of the image is not changed by translation but stretching will change the angle of image.
By transformation rules A,B C are false.
The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage. is correct statement.
Hence, The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
To learn more on translations click:
https://brainly.com/question/12463306
#SPJ2
Step-by-step explanation: