Answer:
x = -2
Step-by-step explanation:
First, you eliminate parentheses using the distributive property.
3(x +4) +4x = -2
3x +12 +4x = -2
Then you collect terms.
7x +12 = -2
You can subtract 12 (from both sides).
7x = -14
Finally, divide by the coefficient of the variable.
x = -14/7 = -2
The solution is x = -2.
____
Comment on the work
When you add, subtract, multiply, divide, or perform any other operation on one side of the equation, you must do the same thing on the other side. That is how the equal sign stays valid. That is why we subtracted 12 from both sides of the equation. It is also why we divided both sides of the equation by 7.
Those steps, subtract 12, divide by 7, are chosen for the purpose of getting the x-term by itself, then getting by itself. In general, when there's an added term you don't want, add its opposite to both sides of the equation. When there's a factor you don't want, divide both sides of the equation by that.
Write an expression that is equivalent to 5(x + 2) - 7(x + 2)?
Answer:
-2x-4
Step-by-step explanation:
Just simplify
Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.
Answer:
-19.3%
Step-by-step explanation:
The percentage change in a value is computed from ...
percent change = ((new value) -(old value))/(old value) × 100%
= (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%
The decrease in 50 years is about 19.3%.
The revenue for Company A was $239 million, compared to $467 million for Company B. The revenue for Company A was ____% of the revenue for Company B. (Round to the nearest tenth as needed.)
Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B.
What is the percentage?It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.
It is given that, the revenue for Company A was $239 million, compared to $467 million for Company B.
We have to find the % by which A was revenue for Company B.
Suppose x% by which A was revenue for Company B.
⇒$467 of x =$239
⇒467×x=239
⇒x=239/467
⇒x=0.5177 ≈ 0.52
⇒x%=52%
Thus, the revenue for Company A was equal to 52% of that for Company B.
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A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formulas to determine the perimeter of the ballroom. a. P=2+60+2+30 b. P=60x30 c. P= 30x 30 + 60 x60 d. P= 2 x 60 + 2x 30
Answer:
The answer is D: 2 x 60 + 2 x 30
Step-by-step explanation:
The perimeter is the lengths of all the sides of a shape combined. Therefore, 60 is one side and 30 is the other side. Since the opposite sides are equal, there are two sides that equal 60 and two sides that equal 30.
So, 60 + 60 + 30 + 30.
60 + 60 = 60 x 2
30 + 30 = 30 x 2
Therefore, the answer is 60 x 2 + 30 x 2.
-(7-2x)+7=-7 help please
Answer:
X = -7/2
Step-by-step explanation:
Answer:
x = -7/2
Step-by-step explanation:
-(7-2x)+7=-7
-7 -7
Start by subtracting -7 from both sides.
-(7-2x) = -14
Divide both sides by -1 to eliminate the negatives.
-(7-2x) = -14
--------- -------
-1 -1
Simplify.
7-2x = 14
Subtract -7 from both sides.
-2x = -7
Divide both sides by -2
-2x = -7
----- ----
-2 -2
x= -7/2
Check if -7/2 by plugging it back into the equation: (-7/2 = -3.5)
-(7-2(-3.5))+7 = -7
Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?
Answer: 25 miles
Step-by-step explanation:
Divide total miles by total gallons.
100 / 4= 25 miles per gallon
where is the result of -5+3 located in a number line?
Answer:
-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.
Step-by-step explanation:
A 500-gallon water tank drains at a rate of 50 gallons per minute. The amount of water left in the tank depends on the number of minutes it has been draining. What is the range of this relation?
Answer:0<Y<500
The amount of water Left in the thing depends on the number of minutes it’s been draining so the dependent variable is the amount of water left in the tank.
Can someone please help, ty!!
Please help!!! I would like an explanation along with your answer. Thanks
Answer:
x = 12/13
BC = 140/13
Step-by-step explanation:
If A is the mipoint of BC, then AB is half of BC.
AB = BC / 2
8x − 2 = (3x + 8) / 2
16x − 4 = 3x + 8
13x = 12
x = 12/13
BC = 3x + 8
BC = 3 (12/13) + 8
BC = 36/13 + 104/13
BC = 140/13
pls answer All of the above..
1) Solve the equation.
-0.06 m = 7.2
m =
2)Solve the equation.
= -1.2
n =
Answer:
1) m=0.0083....
Step-by-step explanation:
-0.06 divided by 7.2. that isolates m.
Can somebody help me with this?
Answer: x=2
Step-by-step explanation:
We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.
24x+34x-2=114 [combine like terms]
58x-2=114 [add both sides by 2]
58x=116 [divide both sides by 58]
x=2
Now, we know that x=2.
please help , i don’t know how to do these
2) 94, 124, 154
3) 8, 12, 16
4) -428, -528, -628
5) - 98, -118, 138
6) 13, 18, 23
In 0.356, which digit is in the thousandths place?
Answer:
6 is in the thousandths place
Step-by-step explanation:
x+x/7+1/11(x+x/7)=60
Answer:
5 yes or good i'm not good morning guys
Answer:x= 48.126
Step-by-step explanation:
Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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The city library subscribes to
125 magazines at an
average cost of $23 a year
for each. What is the yearly
cost of all these magazines?
Answer:
Yearly Cost per each magazine=$23
Since there are 12 months in every year,
$23 × 12 =yearly cost
Therefore, $276 is equal to the yearly cost
Let p: It is the year 2020.
q: Montclair University montclair is located in Kansas.
Is ~ PV ~ q true or false?
O True
O False
I think it's TRUE so yeah.
A golf ball is selected at random from a golf bag. If the golf bag contains 6 green balls, 5 red balls, and 9 brown balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. (Type an integer or a decimal rounded to three decimal places as needed.)
Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:
p = 11/20 = 0.55.
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what is 2 + 2???????
i need help plz
Answer:
4
Step-by-step explanation: 2+2=4
because imagine if u had 2 dollars and your mom gave u another 2 dollars u will have 4 dollars
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
y=-2x2
.y=(x + 2)2
O y = (x - 2)2
o y=x-2
Answer: B
y=(x+2)^2
Step-by-step explanation:
e2020
Answer:
B
Step-by-step explanation:
Brainliest? lol
Find the h. c. f of 24, 30, 36
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]
[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]
[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]
[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]
[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]
[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]
[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]
[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]
[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]
[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]
[tex] \sf{Hope \: I \: helped !!}[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \text{ TheAnimeGirl}[/tex]
Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
if 10 days needed to earn 1 $ then how many days will take to earn 46$?
D
Franklin needs 2.75 cups
of flour for every 1.5 cups
of sugar in his cookie
recipe. This will yield 3.5
dozen cookies. What is the
unit rate for sugar per
cookie? Round your
answer to the tenths place.
1.3 cups of sugar
7. Write the equation of the line that passes through the
point P (0,0), and is parallel to the line y = 7x - 8. Write
the answer in slope-intercept form.
Answer: y=7x
Step-by-step explanation:
To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.
y=7x+b
0=7(0)+b [multiply]
b=0
Now, we know the equation is y=7x+0 or y=7x.
Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?
Answer:
983040
Step-by-step explanation:
Second Year : 15x4=60
Third Year : 60x4=240
Fourth Year : 240x4=960
Fifth Year : 960x4=3840
Sixth Year : 3840x4=15360
Seventh Year : 15360x4 = 61440
Eighth Year: 61440x4=245760
Ninth Year : 245760x4= 983040
Ora Nation
sela
Barney went to play laser tag for the day and spent a total of $48.75. The laser tag
arena charges $12.50 for the first game and $7.25 for each additional game. The cost
of the first three games is shown below.
Time E
Attempt
7 Hour
1 game
2 games
3 games
$12.50
$19.75
$27.00
The equation to determine the number of additional games, g, Barney played is
7.259 + 12.50 = 48.75
• Solve the equation to determine the number of additional games, g, Barney played
. What is the total number of laser tag games that Barney played?
Barney played a total of
games.
Activate
Answer:
The first blank is g=5 Barney played 6 games of lazer tag
Step-by-step explanation:
7.25g+12.50=48.75
First subtract 12.50 from 48.75
7.25g=36.25
then divide 7.25 from both side
g=5
thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?
The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
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Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job
Answer:
$362
Step-by-step explanation:
Step 1:
$1685 - $237
Step 2:
$1448 ÷ 4
Answer:
362
Hope This Helps :)