Answers
1- y=-4
2- y=-11/15
3- y=24
4- c= 27/2
Answer:
1. y = -4
2. y = -0.73 (rounded; it's a repeating decimal and the 3 goes on. -0.7333333, and so on)
3. y = 24
4. c = -13.5
Step-by-step explanation:
30+7y=-2y-6
You want to get the y all by itself. So in order to do that you must combine the like terms from both sides. (so you'll combine the values with a variable, in this case y, and then you will combine the numbers without a variable.)
So, first, get the y's on the same side.
30+7y = -2y-6
Because 2 is negative "-2y", in order to cancel it out you have to ADD 2y to both sides.
30+(7y+2y)= -6
30+9y=-6
Remember, your goal is to get y by itself. So in order to do that, you have to get rid of the solo number on the same side, which is 30. Therefore, you must subtract 30 from BOTH SIDES.
9y= (-6 - 30)
Remember, when you're subtracting with negatives. The rule is: KEEP IT, SWITCH IT, SWITCH IT.
Keep the -6.
Switch the - to a +
And switch the positive thirty to a negative 30.
9y= -6 + (-30)
9y = -36
You want the y alone, so you have to cancel out the multiplication by its recipriocal (or opposite). The opposite of multiplication is division. So you must divide both sides by 9.
y= -36 ÷ 9
y= -4
__________________________
4(3y+4.1)=7.6
Use the distributive property and multiply the 4 (which is outside of the partenthesis) by what's inside of the parenthesis (3y+4.1).
4(3y+4.1):
4 x 3y = 12y
4 x 4.1 = 16.4
12y+16.4 = 7.6
Subtract 16.4 from both sides
12y = -8.8
Divide both sides by 12 to get the y by itself
y= -0.73 (repeating)
__________________________
3(y+1) = 4y-21
This is similar to the last problem. You must use the distributive property and multiply what's outside of the parenthesis by what's inside of the parenthesis.
3 x y = 3y
3 x 1 = 3
Rewrite the equation
3y+3 = 4y-21
Now this problem is similar to the very first problem
You need y by itself. So subtract 3y from both sides
3=(4y-3y)-21
3= 1y-21
Add 21 to both sides to get y by itself
24=1y
y=24
__________________________
3(2c+5) = 4(c-3)
This is just like the last two problems, you must use the distributive property.
3 x 2c = 6c
3 x 5 = 15
Rewrite equation.
6c+15 = 4(c-3)
Now you have to use the distrubtive property for 4(c-3)
4 x c = 4c
4 x (-3) = -12
Rewrite
6c + 15 = 4c - 12
Subtract both sides by 4c
(6c-4c) + 15 = -12
2c + 15 = -12
Subtract by 15 from both sides.
2c = -27
Divide both sides by 2, in order to get c by itself
c = -27 ÷ 2
c = -13.5
Related Questions
What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2
Answers
Answer:
1. y=2x-3
2. y=4x-2
Step-by-step explanation:
1) y = 2x-3
2) y = 4x-2
Hope you have a wonderful day!
bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
Answers
Answer:
12.55
Step-by-step explanation:
Subtract 20 by 7.45
The required amount bob will get in return is given as $12.55.
Given that,
bob buys a t-shirt for $7.45 he pays with a 20 bill, how much change will he get is to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
total nill = $7.45
Total money given = $20
Change to return = 20 - 7.45 = $12.55
Thus, the required amount bob will get in return is given as $12.55.
Learn more about arithmetic here:
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In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answers
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
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Which expression can go in the blank to make the equation true? 60 – 31.2 + ? = 0 a. 60 – 31.2 b. -60 + (-31.2) c. 31.2 - 60 d. 60 - (- 31.2)
Answers
Answer:
(c) 31.2-60
Step-by-step explanation:
Given that
60 – 31.2 + ? = 0
[tex]\Rightarrow ?=31.2-60[/tex]
This is the same as the expression in option (c) 31.2-60.
Hence, option (c) is correct.
I need help bad please anyone I need this
Answers
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
(2,-4) is reflected across the x-axis. what are the coordinates of its image?
Answers
Answer:
(2, 4)
Step-by-step explanation:
When you reflect/flip over an axis, negate value of the opposite of it. Fox the X axis, negate the y value.
Answer:
(2,4)
Step-by-step explanation:
Which expression is equivalent and why?
Answers
9514 1404 393
Answer:
C. 1.15x
Step-by-step explanation:
You are given the expression for the cost:
x + 0.15x
Combining like terms, this becomes ...
1.15x . . . . . matches choice C
Bridget, Jim and Krutika share some sweets in the ratio 2:1:1. Bridget gets 24 sweets. How many sweets are there altogether?
Answers
Answer:
48
Step-by-step explanation:
Bridget = 2 x 12 = 24
Jim = 1 x 12 = 12
Krutika = 1 x 12 = 12 ---> 24 + 12 + 12 = 48
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answers
Answer:
the answer to this question is parallel
In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
What is the equation of a line that passes through the points (3,6) and (8, 4)?
Answers
Answer:
y=-2/5x+36/5
Step-by-step explanation:
In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.
Answers
Answer: 50%.
Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense
The probability is given by the equation P = 12.3 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P
Now , the equation will be
Let the probability of selecting a person owing a scooter A = 30 %
Let the probability of selecting a person owing a scooter A = 0.3
Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %
Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41
Now ,
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B
Substituting the values in the equation , we get
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle
P = 0.3 x 0.41
P = 0.123
Hence , the probability is P = 12.3 %
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A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?
1. 2x + 2
2. 3x + 4
3. 6x + 8
4. 8x + 8 – 2x
Answers
Answer:
2. 3x + 4
Step-by-step explanation:
What we know:
w=x
Perimeter (p) = 8x+8
Formula for perimeter p =2(L+W)
8x+8 = 2(L+W)
L+W is half, so
L+W = 4x+4
Substract W on both sides;
L = 4x+4 -W
We know that W = x
So
L= 4x+4-x
4x-x= 3x
L= 3x+4
whats the answer im stuck ( -___-)
Answers
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation:
F(x) = (4x–5)/6
Find the Inverse
Answers
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Hope this helps! Stay Safe!
(3 + 4i) + (5 − 2i) (2 points) −2 + 6i 2 − 2i 7 + 3i 8 + 2i
Answers
Answer:
8+2i
Step-by-step explanation:
Combine like terms
3+5=8
4i-2i=2i
Answer: 8 + 2i
Step-by-step explanation:
1) Rewrite the two complex numbers in standard form: (3 + 4i) + (5 − 2i) = 3 + 5 + 4i - 2i = 3 + 5 + 2i
2) Add the real parts and the imaginary parts separately: Real parts: 3 + 5 = 8 Imaginary parts: 2i + (-2i) = 0
3) Put the results in standard form: 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 0i = 8 + 2i
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
Answers
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answers
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
Answers
Use the information to answer the following question.
The table shows the cost of various products at a store.
Item Cost
T-Shirt 0.75x
Jeans 4x-5
Hat 2x+4
Gary has (10x + 7) dollars. If Gary decides to buy two pairs of jeans, what expression can be written to represent how much money Gary will have leftover after the purchase? Write the expression and then simplify the expression. (Explain)
Answers
(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
Answers
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
help pls
6 x (2-8) + 4
Answers
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
PLEASE HELP find the sins of z
Answers
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?
Answers
Answer:
210 dollars left
Step-by-step explanation:
Answer:
he has 210 dollars left
Step-by-step explanation:
250+35=285
285-75=210
1. Mrs. Rutherford planted flowers in a rectangular garden. The width of the garden is (X-5) feet and the length of the garden is 2 feet longer than the width. Write an
expression for the area of the garden
Answers
Answer:
area = 2 + (x-5) * (x-5)
Step-by-step explanation:
area of a rectangle= length * width
length = 2 + (x-5)
width = x-5
Answer:
im not sure
Step-by-step explanation:
um work here
v
i think of a number add 3 to it and multiply the results by 6
Answers
Answer:45
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
25+(3*6)=43
You can use the expression 2e+2w to find the perimeter of a rectangle where e is the length and w is the width. Interpret the coefficients of the terms.
Answers
Answer: The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Step-by-step explanation:
A rectangle is a 4 sides closed quadrilateral where opposite sides are equal .
So , length of one pair of opposite is represented by 'l' [l= length]
Such that sum of these two sides = l+l=2l
The other pair of opposite sides s represented by 'w' [w= width]
Such that sum of these two sides = w+w=2w
Perimeter is the sum of sides.
So, perimeter of rectangle = 2l+2w.
The coefficient of terms is 2 represents length of 2 equal and opposite sides of rectangle.
Equation parallel y= -3 also passes through the point (2,5)
Answers
Answer:
When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).
To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5
Step-by-step explanation:
x – 2y = 1
2x + 3y = -12
Answers
Answer:
x= -3
y= -2
From the first one, if you add 2y to both sides you can plug that into the second one and solve for y. Then, plug y to the first one and solve for x.
X=1+2y
2(1+2y)+3y=-12
2+4y+3y=-12
2+7y=-12
7y=-12-2
7y=-14
y=-2
x-2*-2=1
x-(-4)=1
x+4=1
x=1-4
X=-3