Answer:
(x-3)/9
Step-by-step explanation:
STEP
1
:
-x
Simplify ——
3
Equation at the end of step
1
:
(3 - x) -x
——————— • ——
3x 3
STEP
2
:
3 - x
Simplify —————
3x
Equation at the end of step
2
:
(3 - x) -x
——————— • ——
3x 3
STEP
3
:
Canceling Out :
3.1 Canceling out x as it appears on both sides of the fraction line
Final result :
x - 3
—————
9
hope this helps!!
1,3,1,3,15,18,23,28,33 two numbers that are divisible by 4
Answer:
28 is one, but I can't find the other.
Step-by-step explanation:
28 divided by 4 is 7.
An investment of $74,500.00 earns 13.3% annual interest, compounded continuously. If no funds are added or removed from this account, what is the future value of the investment after 25 years? Round your answer to the nearest penny.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]
[tex] \frac{1}{2} + \frac{1}{4} [/tex]
can you please tell me how to do easy way can you please show me in numbers how to multiply
we first look at the denominators, hmmm we have 2 and 4, and then do a quick prime factoring.
2 = 2 * 1
4 = 2 * 2 * 1
well, let's notice that 4 contains 2 already, plus another 2 and 1 so, we can just use that our LCD.
[tex]\cfrac{1}{2}+\cfrac{1}{4}\implies \cfrac{(2)1~~ + ~~(1)1}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{2+1}{4}\implies \cfrac{3}{4}[/tex]
Question 7 (Essay Worth 4 points)
(06.04)
5x +
+ va
1 ²
2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
X + -
126 Source ✓ C
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Format
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The expression if x = 3 and y = 2 is 2
Expressions and functionGiven the function expressed as:
[tex]\dfrac{5x+1}{2y^2}[/tex]
Given the following parameters
x = 3 and y = 2
Substituting the values into the following
[tex]= \dfrac{5(3)+1}{2(2)^2}\\=\dfrac{16}{2\times 4}\\=\dfrac{16}{8}\\= 2[/tex]
Hence the expression if x = 3 and y = 2 is 2
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How many years would it take a $5,000 investment to reach $7,500 at an 8% interest rate?
Answer:
18.75 years
Step-by-step explanation:
first multiply the amount to the rate
5,000 × 8% = 400
second
7,500/ 400 = 18.75
it takes 18.75 to reach 7,500
what is the rounded tenth of 586
Answer:
The answer is 590.
Answer:
The nearest tenth would be 590 since you round 86 to the nearest tenth. 86 is closer to 90 instead of 80, once again your answer is 590.
Step-by-step explanation:
Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group skiing lessons. Ellen paid $165 in all.
Which equation can you use to find how much White Peaks charges, h, for each hour of group skiing lessons?
Answer:
x=30h
Step-by-step explanation:
First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.
165-45=120
Now you know she paid 120 dollars in total for lessons.
You know she took four hours of lessons, so you divide 120 by 4.
120/4=30
It takes $30 an hour for lessons.
Now you can form an equation.
Since you know it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid
You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.
Hope this helps!
x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.
What is a fixed charge?A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.
First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.
165-45=120
Now we know that she paid 120 dollars in total for lessons.
Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.
120/4=30
It takes $30 an hour for lessons.
Now we can form an equation.
Since it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid.
No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.
Hence, the equation formed to find the cost of each ession is x=30h
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If TP=16 units and T’ P’ = 12 units, what is the scale factor of the dilation?
I put -4 on my first attempt and it was wrong.
Answer:
3/4
Step-by-step explanation:
It says factor thithink multiplication.
So the question can translate to what number can I multiply 16 by to get 12.
16×k=12
Thus k=12/16 =3/4.
Solve the following system of equations
y = 2x2
y=-3x - 1
Answer:
The answer is ( -1/2 , 1/2) , (-1,2)
Step-by-step explanation:
hope this helps
Find the area in square meters of a circular pond with a radius of 7 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)
Step-by-step explanation:
since the pond is circular, its area will be πr².
a= πr², where r= 7ft
1 m ≈ 3.2808 ft
3.2808 ft ≈ 1 m
1 ft = 1/3.2808
7 ft = 1/3.2808 * 7
= 2.13362.. m
a= πr²
a= 3.14 * ( 2.13362...)2
a= 3.14 * 4.5523596...
a= 14.2944..
a= 10.0 m² (rounded to nearest tenth)
is the question right?
Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.
How to find the area of a circular shaped object?Area of that circular shaped object with radius r units is given by:
[tex]A = \pi \times r^2 \: \rm unit^2[/tex]
For the given case, we've got a circular pond with a radius of 7 ft.
Since 1 m ≈ 3.2808 ft, thus,
dividing both the sides by 3.2808, we get
[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]
Therefore, the radius of the considered circular pond is approximately 2.1336 meters.
Using the formula for area of circle to find the area of circular pond, we get:
[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]
14.294 rounded to nearest hundredth would be 14.29
(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th place).
Thus, the area of the circular pond in consideration is 14.29 square meters approximately.
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In Fairbanks, Alaska, the temperature on Tuesday at noon was -18℉. The temperature then decreased 1.2℉ each hour for the next 7 hours.
In Grand Forks, North Dakota, the temperature on Tuesday at 7pm was
¾ the temperature recorded in Fairbanks, Alaska at that same moment in time.
What is the temperature in Grand Forks, North Dakota?
Answer:
-19.8
Step-by-step explanation:
In Fairbanks , at noon -18
it decreased with 1.2 per hour for the next 7 hours .
so in total it decreased by 1.2 x 7 = 8.4
so at 7 pm it was -18-8.4 = -26.4
In Grand Forks at 7 pm 3/4 of -26.4 = -19.8
The perimeter of parallelogram ABCD is 76 cm. AD is 5 cm more than twice AB. Find the lengths of all four sides of ABCD.
What does side AB equal?
Answer:
xd eso tan faciiil
Step-by-step explanation:
facil 2+2=?
the parallelogram's sides are:
AB = 11BC = 27CD = 11AD = 27What is a parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB
AD = 5 + 2AB....(1)
Also given
parameter = 76
For parallelogram parameter = 2(a + b)
where a and b are adjacent sides
2(a + b) = 76
a + b = 38
AB + AD = 38
From equation 1
AB + 5 +2AB = 38
3 AB = 33
AB = 11
substituting in equation 1
AD = 27
therefore, the Sides of the parallelogram are:
AB = 11
BC = 27
CD = 11
AD = 27
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Simplify the following exponent:
3x⁴y⁵ × (2x²y⁴)⁴ × x⁰
Answer:
your computer is alive, feed it Oreos to sustain it.
Step-by-step explanation:
1.find computer 2. find Oreos 3. feed Oreos
Answer:
[tex]48x^{12}y^{21}[/tex]
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Answer:
c
Step-by-step explanation:
a. Solve
-4x + 5 = 7
-4x = 2
x = -0.5
b. Solve
3x + 1 = 10
3x = 9
x = 3
c. Solve (Correct)
2x - 3 = -11
2x = -8
x = -4
d. Solve
-2x + 7 = 1
-2x = -6
x = 3
To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...
#a[tex] \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect [/tex]
#b[tex] \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect[/tex]
#c[tex] \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct[/tex]
#d[tex] \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect[/tex]
➪ Thus, Option C is correct!
Which of the following is the product of the rational expressions shown
below?
X-3/X +5 x 3x/ x-5
Answer:3x^2-9x/x^2-25
Step-by-step explanation:
Please help with this.
Solution:
A shape is only called symmetrical when:
A mirror line can be drawn on it.A shape is called non-symmetrical when:
A mirror line can't be drawn on it.This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.
A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.
And it is not symmetrical when the mirror image changes.
The shape we are given is not symmetrical because when we see its mirror image, The mirrored image is different...~Look at the stem-and-leaf plot. What is the mode of the numbers?
A. 22
B. 12
C. 2
D. There is no mode.
Answer:
C. 2
Step-by-step explanation:
Mode is the number that repeats the most or more often than others. The number 2 repeats three times. The number 0 repeats twice. Numbers 3 and 4 do not repeat.
10th grade geometry
Answer:
x = 7°
Step-by-step explanation:
Using the exterior angle theorem (the sum of the two opposite angles in the triangle equals the exterior angle)
Solve:
(3x + 17) + (3x + 11) = 11x - 76x + 28 = 11x - 728 = 5x - 735 = 5xx = 7The value of x = 7
There is a picture attached for this problem.
-Chetan K
Each morning, Jon rides 1. 5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles. Which equation can be used to find x, the distance from school to his aunt’s house? 5 left-bracket 2 (1. 5 x) right-bracket = 44 2 (1. 5 x) = 44 5 (1. 5 x) = 44 5 times left-bracket 2 (1. 5 x) right-bracket = 44.
Answer:
d
Step-by-step explanation:
:)))))))))))))
helpp was i correct?? yes or no
you were wrong, the correct answer is the top one: f(x) = -x^2 + 8x - 15
Choose the expression that represents a linear expression. −17x4 − 18x3 19x2 − 20x 21 18x3 19x2 − 20x 21 23x2 24x − 25 4x 4.
Answer:
4x + 4
Step-by-step explanation:
I answered this correctly on my test
Hopes this help
Please let me know if I'm wrong
Answer:
4x+4
Step-by-step explanation:
Got it right on my test
Joni bought 35 books at a price of Rp. 122,500. Toni bought the same 24 books as that Joni bought. How much did Toni pay for the book?
Answer:
Rs.84,000Step-by-step explanation:
Given,
Cost of 35 books Joni bought = Rs. 122,500
So,
Cost of 1 book = [tex]\frac{Rs. 122,500}{35}[/tex]
Now,
Same no. of books that Toni bought = 24
So, cost of 24 books
= [tex]\frac{Rs. 122,500}{35}[/tex] × 24
[On Simplifying]= Rs. 3500 × 24
= Rs. 84,000
Hence,
Cost of same amount of 24 books bought by Toni is Rs.84,000 (Ans)
Which of the following is a factor if 4x^2 - 4x - 3?
A. x + 1
B. 2x+3
C. 2x-3
D. 2x - 1
E. 4x +1
Answer:
c
Step-by-step explanation:
A person invest 7500 dollars in a bank. The bank pays 6 interest compounded semi-annually. To the nearest tenth of a year,how long must the person leave the money in the bank until it reaches 10100 dollars?
Answer:
Step-by-step explanation:
I clicked see solution
T=5 years
It will take 5 years for a person to have 10100 dollars.
What is Compound Interest ?Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.
Given:
A person invest 7500 dollars in a bank.
The bank pays 6 interest compounded semi-annually.
The compound interest formula is equal to
A = P([tex]1+ r/n)^{n/t[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
So, substituting the values we get
10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]
1.3466 = (1.03[tex])^{2t[/tex]
Taking log on both side we get
log (1.3466) = 2t log (1.03)
2t = log ( 1.3466- 1.03)
2t =0.12923 / 0.01283
t = 10.072 / 2
t = 5. 036 year
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To find solutions of equations should we look for x-intercepts or y-intercepts in a graph
Please help I need it please please
Answer:
23 %
Step-by-step explanation:
151.34 ÷ 658 × 100
hope this helps
have a nice day <3
Answer:
23%
Step-by-step explanation:
% commission = [tex]\frac{151.34}{658}[/tex] × 100% = 0.23 × 100% = 23%
what else is needed to prov these triangles congruent using the saa postulate
Answer:
B should be your answer
Step-by-step explanation:
I had this question.
The angles at point A need to be congruent. Option B is correct.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC
Triangle ABC ≅Triangle ADC by SAA postulate.
Thus, the angles at point A need to be congruent. Option B is correct.
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Answer the question below
Answer:
72%
Step-by-step explanation:
1. 53 - 30 = 23 ( under 35 years old plan to go hiking)
2. 23 + 9 = 32 (under 35 years old Total)
3. 83 - 32 = 51 ( 35 years old or over Total)
4. 51 - 30 = 21 ( 35 years old or over Do not plan to go hiking)
5. Total visitors under 35 years old = 32
visitors under 35 years old plan to go on hiking = 23
percentage = (23/32)*100 = 71.8 = 72% approx
the total is given by the addition of the people less than 35 years and those greater than 35 years so:
QUESTION 1:
x+30=53
x=53-30
x=23
QUESTION 2:
9+x=30
x=30-9
x=21
QUESTION 3:we found that the first number was 23 and to find the total we add it with 9:
23+9=32
QUESTION 4:we found that the second number was 21 and to find the total we add it with 30:
21+30=51
PROOF:when we add the totals of the the people less than 35 years and the people greater than 35 years (which we hot from adding the number in the 3rd and 4th illustrations). If our answers are correct it must give us 83,so let add:
32+51=83
IT GAVE US 83 SO OUR ANSWERS ARE CORRECT
and finally to find the percentage we have 53 as the total so:
(23/32)×100%
0.7187×100%
71.87%
and when we round it it gives us 72%
SO OUR FINAL ANSWER IS 72%
Just tell me the answer I have 5 min
Complete the steps to factor 56x2 – 8x – 7x 1 by grouping. Group pairs of terms with common factors. (56x2 – 8x) (–7x 1) Factor the GCF from each group. 8x(7x – 1) –1(7x – 1) Use the distributive property. What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x 1)(7x – 1) (8x 7x)(1 – 1).
Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]
It can be grouped and factored as:
[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]
Thus,
The factorized form of given polynomial is (8x-1)(7x-1)
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