Answers
9514 1404 393
Answer:
a. x = 13/7
b. j = 3
c. y = 2
d. p = 25
Step-by-step explanation:
Here, it is convenient to combine like terms first. When you do that, you see that one side of the equation has a mix of a constant term and a variable term. Choose the term that matches the kind of term present on the other side of the equation (constant or variable), then add its opposite to both sides. Finally, divide by the coefficient of the variable.
__
a. 3x +13 = 10x . . . . combine like terms
13 = 7x . . . . . . . . . subtract 3x
13/7 = x . . . . . . . . divide by the coefficient of x
__
b. 10j -20 = 10 . . . . combine like terms
10j = 30 . . . . . . . . add 20
j = 3 . . . . . . . . . . . divide by 10
__
c. 6y = 14 -y . . . . . . combine like terms
7y = 14 . . . . . . . . . add y
y = 2 . . . . . . . . . . divide by 7
__
d. p + 8 = 33 . . . . . . combine like terms
p = 25 . . . . . . . . . add -8
_____
Comment on solving equations
In these "2-step" equations, the first step (after simplifying, combining like terms) is to "separate the variable and constant terms". The basic idea is to determine what term you don't want where it is, then add its opposite to both sides of the equation.
You can do anything you like to the equation, provided you do the same thing to both sides. When we say "subtract 3x," for example, we mean 3x is subtracted from both sides of the equation. This is an example of the use of the addition property of equality.
The same goes for multiplication or division. You can multiply or divide by anything you like, as long as you do the same thing to both sides of the equation. In the above, "divide by 7," for example, means both sides of the equation are divided by 7.
Related Questions
4
How many times larger is 4 x 106 than 1 x 104 ? Give your answer in standard form.
Answer:
times.
SHOW HINT
!!!HURRY PLEASE!!!
Answers
4*10^6 = 4,000,000
1*10^4= 10,000
ANSWER: 400
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
the second one
Simplify 1 2/5m-3/5(2/3m+1)
Please Fast
Answers
Answer:
m - 3/5Step-by-step explanation:
Simplifying
1 2/5m - 3/5(2/3m + 1) =1 2/5m - 3/5(2/3m) - 3/5 = 1 2/5m - 2/5m - 3/5 =m - 3/5The simplified form of the expression 1 2/5m - 3/5(2/3m + 1) is 26/25m.To
How to simplify the expressionsimplify the expression 1 2/5m - 3/5(2/3m + 1), we can follow these steps:
First, let's simplify the expression inside the parentheses:
2/3m + 1
Now, distribute the 3/5 to both terms inside the parentheses:
3/5 * 2/3m + 3/5 * 1
(6/15)m + 3/5
(2/5)m + 3/5
Now, substitute this simplified expression back into the original expression:
1 2/5m - 3/5 * (2/5m + 3/5)
Next, distribute the -3/5 to both terms inside the parentheses:
-3/5 * 2/5m - 3/5 * 3/5
(-6/25)m - 9/25
Finally, combine the like terms:
1 2/5m - (-6/25)m - 9/25
1 2/5m + 6/25m - 9/25
To add the mixed number and the fractions, convert the mixed number to an improper fraction:
5/5 + 2/5m + 6/25m - 9/25
(25/25) + (10/25)m + (6/25)m - (9/25)
35/25m - 9/25
Now, simplify the expression by finding a common denominator:
35/25m - 9/25
(35 - 9)/25m
26/25m
Therefore, the simplified form of the expression 1 2/5m - 3/5(2/3m + 1) is 26/25m.
Learn more about expression at https://brainly.com/question/1859113
#SPJ6
Help me with part e please.
Answers
Graph the equation.
Y=2x+3
Answers
Answer:
bro go to (0,3) and go up 2 and right 1 and place a dot and keep doing that till you cant anymore then go back to point (0,3) and go down 2 left 1 and place a dot and keep doing that till you cant any more then draw a line through the dots simple
Step-by-step explanation:
because 2x is the slope or 2/1x is the slope witch means you go to y intercept 3 or (0,3) and you do rise over run the slope 2/1 rise being 2 run being 1 see simple
3. Fill in the table for the following rule:
a) y = 2x + 3
-3
-2
-1
0
1
2
4
IN (X)
OUT (V)
Answers
-3, -3
-2, -1
-1, 1
0, 3
What equation represents a line which is perpendicular to the line y=-2/5x + 5
Answers
Answer: y = 5/2 x + 5 or more clearly: [tex]y = \frac{5}{2}x+ 5[/tex]
Step-by-step explanation: Slope intercept form y = mx + b
m is the slope, b is the y-intercept
To write the equation for a perpendicular line
Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 2/5 to become 5/2 and change the negative sign to positive.
The resulting equation is y = 5x/2 + 5 or y = 2.5x + 5
PLEASE HELP DUE SOON 25 POINTS
Answers
Answer:
135.
A. 5
B. 7
C. 2
D. 15
E. 24
F. 2
143: 15
144: ( A even/odd number)
Explanation:
Did it in a rush cause i gotta do mines. if wrong, I'll try better next time.
Answer:
Five years ago, cheryl was d years old
a. cheryl is (d+5) years old
b. Brandon is two years older than Cheryl
so bradon = (d+5+2) = d+7 years old
c. sum of their ages now = d+5+d+7 = 2d+12
d. sum of their ages two years from now
= (d+5+2) + (d+7+2) = 2d+16
143.
Age of sarah = 5 years
clayton age = 5+x
according to questiom
5+x= 3*5
5+x = 15
x= 15 -5 = 10 years
144.
age of Adam = d years
age of Brandon = (d+b)
accordind to question
d+b = 2d
2d-d = b
d = b years
Going into the final exam, which will count as 1/3 of the final grade, Megan had test scores of 94, 81, 87, and 93. What score does Megan need on the final exam in order to have an average of 90?
Answers
9514 1404 393
Answer:
92.5
Step-by-step explanation:
The total of Megan's scores is ...
94 +81 +87 +93 = 355
so her current average is 355/4 = 88.75
The score (s) Megan needs for a 90 average is ...
(2/3)(88.75) +(1/3)s = 90
2(88.75) +s = 270 . . . . . . . . multiply by 3
s = 270 -177.5 = 92.5
Megan needs a score of 92.5 on her final to have an overall average of 90.
which of the following best defines an output
Answers
Given m||n, find the value of x. + (2x-26) (7x+8)
Answers
Given :
m||n, interior angles are (2x-26) and (7x+8).
To Find :
Find the value of x.
Solution :
We know, alternate interior angle of a triangle are supplement to each other.
So, (2x-26) + (7x+8) = 180°
9x - 18° = 180°
9x = 198°
x = 22°
Therefore, the value of x is 22°.
Answer:
value of x is 22°
Step-by-step explanation:
Correct answer
-x+ 5y = -6
(2x – 10y = 12
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
multiply -x+5y=-6 with 2
-2x+10y=-12
2x-10y=12
add:
0=0
3(x – 5) + 7 = 5x – (2x - 7) +9
Answers
Answer:
0=24 so theirs no solution
Step-by-step explanation:
HELP ITS DUE TODAY!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the values of x, y, and z in the diagram below. Remember what we learned about the interior and exterior angles of triangles!
Answers
Answer/Step-by-step explanation:
x + 74° + 20° = 180° (sum of interior angles of a triangle)
x + 94° = 180°
x = 180° - 94° (subtraction property of equality)
x = 86°
y = 74° + 20° (exterior angle theorem of a triangle)
y = 94°
y + z + 32° = 180° (sum of interior angles of a ∆)
Plug in the value of y
94 + z + 32 = 180
z + 126 = 180
z = 180 - 126
z = 54°
A woman wants to make a 6 inch wide copy of a drawing that is 10 inches wide. On the photocopier, what percent setting should she use to make a copy this size?
Answers
6/10 = .6
convert into percent by moving the decimal to the right twice to get 60%
Answer:
60%
Step-by-step explanation:
What is the area of the figure below?
Answers
Answer:
9
Step-by-step explanation:
Equation for Slope intercept of -6/5 and y-intercept of (0,3)
Answers
Answer:
y = -6/5x + 3
Step-by-step explanation:
Slope intercept form:
y = mx + b
x is the slope
b is the y-intercept
x = -6/5
b = (0, 3) or 3
y = (-6/5)x + (3)
y = -6/5x + 3
what is the slope and point of y-1=-4(x+3)
Answers
Answer:
M= -4
Point (3,1)
Step-by-step explanation:
The slope is -4
the point is (3,1)
if you know the volume of a cone and that a cylinder has the same base ans height as the cone, how would you determine the volume of the cylinder?
A) add 3 to the volume of the cone
B) subtract 3 from the volume of the cone
C) multiply the volume of the cone by 3
D) divide the volume of the cone by 3
Answers
It's C, multiply the volume of the cone by 3.
Answer:
C
Step-by-step explanation:
PLEASE HELP!!!! THIS IS DUE BY TONIGHT AND I ONLY HAVE 13 POINTS
Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?
wth Rico that's an expensive motorcycle.
Answers
Answer:
7.5 percent.
Step-by-step explanation:
Anyone ? It’s simplifying
Answers
Answer:
40 is 2√10, 300 is 10√3. -72 is 6i√2, and the last one is -21i
Step-by-step explanation:
What is the slope of the line shown in the graph? (4 points)
Answers
Answer:
[tex]slope = \frac{1}{2} [/tex]
d is the correct answer!
Step-by-step explanation:
Hope this HELPS!
5 green marbles 5 red marbles 10 yellow marbles
What is the probability that the first marble is not yellow and the second one is a yellow
Answers
Answer:
5/19
Step-by-step explanation:
Marbles=20
So the probability of choosing not yellow is 10/20=1/2.
Marbles are not replaced.
The total number is 19
The probability of choosing yellow is 10/19
So the final answer is (1/2)*(10/19)=5/19.
hope this helps
4 1/2 cups converted to fluid ounces
Answers
Answer:
4.5 cup to oz is 36 FLUID OUNCES
Question 911 point) If Mrs. Vascik drives 320 miles in 5 hours, what is her speed in miles per hour? O a 55.6 mph 56.5 mph 60 mph Ос
Answers
Answer:
60 mph?
Step-by-step explanation:
If she drives 320 miles in 5 hours, her average speed would be 64 mph, but 60 is the closest so I would go with that I guess. I'm pretty sure these are all wrong options though
Find the slope, or rate of change, from the following graphs: rise
Tun
Answers
What is the COMMON RATIO of the geometric sequence: 3024, 504, 84,
14,...*
Your answer
Answers
Step-by-step explanation:
r=504/3024=84/504=14/84= 1/6
By using this equation:
and we have a(1)=3024, r=1/6
a(n)=3024*(1/6)^(n-1)
hope this helps
A company produces processing chips for cell phones. At one of its large factories, 2% of the chips produced are defective in some way. A quality check involves randomly selecting and testing 500 chips.
What are the mean and standard deviation of the number of defective processing chips in these samples?
You may round your answers to the nearest tenth.
mean:
chips
standard deviation:
chips
Answers
Answer:
mean: 10 chips
standard deviation: 3.1 chips
Step-by-step explanation:
From Khan Academy, I know you guys just want the answer so there it is :)
Using the binomial distribution, it is found that:
The mean number of defective processing chips in these samples is of 10.The standard deviation is of 3.1.For each chip, there are only two possible outcomes, either they are defective, or they are not. The probability of a chip being defective is independent of any other chip, hence the binomial distribution is used to solve this question.
What is the binomial distribution? The binomial distribution is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.The expected value of the binomial distribution is given by:[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is given by:[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]
In this problem:
2% of the chips produced are defective in some way, hence [tex]p = 0.02[/tex].A quality check involves randomly selecting and testing 500 chips, hence [tex]n = 500[/tex].Hence:
[tex]E(X) = np = 500(0.02) = 10[/tex]
[tex]\sqrt{V(X)} = \sqrt{500(0.02)(0.98)} = 3.1[/tex]
The mean is 10 and the standard deviation is of 3.1.
To learn more about the binomial distribution, you can take a look at brainly.com/question/26155596
i honestly just need help so please help me
Answers
Answer:
34.56
Step-by-step explanation:
i did the math and i got that
Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Answers
Answer:
231 feet of fabric
Step-by-step explanation:
Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot.
Converting from inches to foot
1 inch = 1/12 foot
36 inches = x feet
x = 36 × 1/12 foot
x = 3 feet
Hence, each curtain = 3 feet
If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need?
This is calculated as:
1 curtain = 3 feet
77 curtains = x
Cross Multiply
x = 77 × 3 feet
x = 231 feet
Hence, she would need 231 feet of fabric
