Answer:
x = 6
Step-by-step explanation:
8(2x – 14) + 13 = 4x – 27
Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)
First, distribute 8.
8(2x – 14)
[tex]8*2x=16[/tex]
[tex]8*-14=-112[/tex]
So now our equation is:
16x – 112 + 13 = 4x – 27
Now we can add. We will add 13 to -112.
[tex]-112 +13=-99[/tex]
Now our equation looks like this:
16x – 99 = 4x – 27
Now we have to try to get the variable (x) on one side of the equation.
To do this, we will subtract 4x from both sides of the equation.
16x – 99 = 4x – 27
-4x -4x
12x - 99 = -27
Now we can add 99 to -27.
[tex]99 + (-27) = 72[/tex]
Now we have
12x = 72
Our last step is to divide both sides by 12:
[tex]\frac{12x}{12}= \frac{72}{12}[/tex]
We get x = 6.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
Step-by-step explanation:
A.
8(2x – 14) + 13 = 4x – 27
Step 1: Distribute 8, meaning multiply 2x and -4 using 8
8(2x – 14)
8(2x) + 8(-14)
16x - 112
New equation:
16x - 112 + 13 = 4x – 27
Step 2: Add any numbers or like terms:
16x - 112 + 13 = 4x – 27
16x - 109 = 4x - 27
New equation:
16x - 99 = 4x - 27
Step 3: Isolate the variable on one side
16x - 99 = 4x - 27
-4x -4x
12x - 99 = - 27
+ 99 + 99
12x = 72
Step 4: Divide both sides by 12
12x = 72
/12 /12
x = 6
B.
Check your answer:
8(2x – 14) + 13 = 4x – 27
8(2(6) - 14) + 13 = 4(6) - 27
8(12 - 14) + 13 = 4(6) - 27
8(-2) + 13 = 24 - 27
-16 + 13 = 24 - 27
-3 = -3
This statement is correct
Therefore, our answer (x = 6) is correct.
Hope this helps!
If the point (x,square root 3/2) is on the unit circle, what. is x?
Answer:
[tex]x=\pm\frac{1}{2}[/tex]
Step-by-step explanation:
On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively
Help me on this question please!
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
═════════════════════
[tex]x+5[/tex]
[tex]x^{1-1} [/tex]
[tex]x^{0} [/tex]
[tex] = 1 [/tex]
─────────────────────┈
[tex](2x + 3)[/tex]
[tex]2x^{1-1} [/tex]
[tex]2x^{0} [/tex]
[tex]2\times 1 [/tex]
[tex] = 2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
What’s 70x56,000+65,000,000
Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Find two prime numbers that Nidah could have written down.
Mathematician
Answer:
2 and 3
Step-by-step explanation:
prime numbers=2,3,4,5,...
taking 2 and 3
2+3=5
5²=25
hence the different prime numbers are 2 and 3
The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)
What are Prime Numbers?A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Given that, Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Square numbers less than 30 are = 1, 4, 9, 16, 25
The pairs of numbers that can satisfy the given condition are;
2 + 7 = 9
2 +23 = 25
3 + 13 = 16
5 + 11 = 16
Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)
For more reference on Prime numbers, click;
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#SPJ2
5. The dot plot shows a random sample
of the number of migrating geese
flocks observed by 25 participants
during a two-day hike.
Day 1
Day 2
IN
+ +
+ + + + +
2 3 4 5 6 7 2 3 4 5 6 7
Number of Flocks Observed Number of Flocks Observed
Use the mean value of each data set to
make an inference about the number
of flocks observed each day.
Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.
What does a dot plot show?The dot plot shows the number of times each measure appears in the data-set.
Hence, the mean of the data-set corresponding to day 1 is given by:
M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68
And the mean of the data-set corresponding to day 2 is given by:
M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.
M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.
More can be learned about dot plots at https://brainly.com/question/24912483
Fine The Gradient of the curve xy=6, at point 1 & 6.
[tex] \\ \\ \\ \\ \\ \\ \\ [/tex]
Thnx ~~
Answer:
[tex]\fbox{Gradient of curve = -6}[/tex]
Step by step explanation:
Given:
Equation of curve ↦ xy = 6
Point ↦(1,6)
To find:
The gradient of curve = ?
Solution:
[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]
Taking log both the side,
[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]
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which set is an example of like fractions?
A. 1/2 and 3/2
B. 2/1 and 2/3
C. 7/4 and 4/7
D. 10/10 and 5:5
Answer:
like fractions have the same denominator. So A is correct
Geena can rent an apartment for $850 per month or she can buy a house for $175,000 at 3.875% interest for 30 years. How much will each housing choice cost for one year?
A. Price of Renting:
B. Price of Buying:
Using simple interest, it is found that the prices are as follows:
A. $10,200.
B. $12,614.58.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.Item a:
$850 for 12 months, hence the yearly cost is:
P = 850 x 12 = $10,200.
Item b:
The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:
A(t) = A(0)(1 + rt)
A(30) = 175000[1 + 0.03875(30)]
A(30) = 378437.5.
The yearly cost is given by:
378437.5/30 = $12,614.58.
More can be learned about simple interest at https://brainly.com/question/25296782
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
What is the sector of a circle?
A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
The radius of the sector =20 units
Central angle subtended by sector = 162° = 162π/180 radians
As we know the area of a sector= 0.5r²α
where r is the radius and α is the central angle.
So, the area of the given sector = 0.5*20²* 162π/180
The area of the given sector = 180π unit²
Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
To get more about the sector visit:
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Answer:
its c
Step-by-step explanation:
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210.
Answer:
he has to pay 4980$ in tax So its C) 4,980
The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
An electrician has an income of $41,500.
The income tax the electrician has to pay is 12%.
Then the amount of income tax that the electrician has to pay will be
Amount of income tax = 0.12 × $41500
Amount of income tax = $ 4980
Thus, the amount of income tax that the electrician has to pay is $4980.
More about the percentage link is given below.
https://brainly.com/question/8011401
Please help me solve this
Answer:
The length of river D is 2550
length of river C is 2550+500=3050
Step-by-step explanation:
Let the river D be 'x'
and the river C is (x+500)
x + x + 500 = 5600
2x + 500 = 5600
2x = 5600 - 500
2x = 5100
x = 5100/2
x = 2550
The length of river D is 2550
length of river C is 2550+500=3050
Friction creates heat and lowers the _______
Answer:
energy
Step-by-step explanation:
Answer:
energy
Step-by-step explanation:
14) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
interest per year. For how many years was the principal invested?
ок
4 years
Step-by-step explanation:[tex]per\ year\ earn:2000\times 5\%=100[/tex]
[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]
I hope this helps you
:)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
what are irrational numbers? give examples.
Answer:
set of numbers that cannot be represented in form of a/b
examples square root of 2, 3, 5 and 6
What is the value of y in the equation 2 + y = −3?
I believe that y is equal to -5.
y=-5
PLEASE HELP ASAP Here is the question afterward:
17 (1/5) × 17,5 = 301
,..,.
25 cows produce 4 2/3 literes of milk how much milk is this in total
Answer:
116 2/3 liters of milk
Step-by-step explanation:
4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk
I hope this was good enough. Happy mathing!
Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.
Answer:
0, -6, -12, -18
Step-by-step explanation:
start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.
please give brainliest!!!!
What is the value of w in the equation 2(2w − 16) = 0?
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
Which expression is equivalent to 3 square root of x^5 y
[tex] \sqrt[3]{ {x}^{5}y } = {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } \\ [/tex]
Thus the second option is the correct answer
Is my answer correct?
Answer:
No, not all of them are correct.
Step-by-step explanation:
The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT
heres another one of those impossible looking problems for another chance for a brainly no links please
Answer:
B. X=6 onlyStep-by-step explanation:
Isolate the term of x from one side of the equation.
[tex]\sf{\sqrt{2x-3}=x-3}[/tex]
2x-3=x²-6x+9
Solve.
[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]
Therefore, the solution is x=6, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Which is equivalent to 4 (9) 1/2 ^x
O 9^2x
O 9 1/8 ^x
O (9)^x
O 6(9) ^x
Answer:
36/2^x
Step-by-step explanation:
= 4 X 9 x 1/2^x
= 36/2^x
HELPPPP Two planes leave the airport at noon, one traveling east at 300 km/h and the other traveling northwest at 45 km/h. How far apart are they at 2 pm?
How far both planes travelled is an illustration of distance
Both planes are 510 km apart at 2 pm
How to determine their distance apart?The rates of the two planes are given as:
Plane A = 300km/h
Plane B = 45km/h
Calculate the difference (r) in their rates
r = 300km/h - 45km/h
This gives
r = 255km/h
At 2 pm, both planes have travelled for 2 hours.
So, the distance between them is:
d = 255 * 2
d = 510km
Hence, both planes are 510 km apart at 2 pm
Read more about distance and speed at:
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A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS
More earnings:-
25% of x0.25xTotal earnings this year
x+0.25x(1+0.25)x$1.25xAnswer:
[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]
Step-by-step explanation:
Given:
Last year: $x
Determining the money earned for this year:
This year = 25% more than last year
= $25x/100 + $x
= $x/4 + $4x/4
The expression that represents the money earned this year is $x/4 + $4x/4.
What is the totale of the recta
square meter
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answer:
C. 0.5..................
Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is the original price?
Answer:
The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen
Step-by-step explanation:
Find the area of the shaded sector of the circle. Give the exact answer in terms of straight pi.
A circle has a central angle that measures 120 degrees and a radius of 8.
fraction numerator 48 straight pi over denominator 9 end fraction units squared
fraction numerator 64 straight pi over denominator 3 end fraction units squared
fraction numerator 32 straight pi over denominator 3 end fraction units squared
fraction numerator 16 straight pi over denominator 9 end fraction units squared
The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²
Area of a sectorThe area of a sector is defined as follows:
area = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
r = 8
∅ = 120°
Hence,
area of the sector = 120 / 360 × π × 8²
area of the sector = 1 / 3 × π × 64
area of the sector = 64π / 3 units²
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PLEASE HELP I NEED TO TURN THIS IN QUICKK
Answer:
QUienn quieres ser mi ami
Step-by-step explanation:
xd