Answers
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
[tex]\frac{6\left(x-2\right)}{2}=\frac{3\left(x+5\right)}{8}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\6\left(x-2\right)\cdot \:8=2\cdot \:3\left(x+5\right)\\Simplify\\48\left(x-2\right)=6\left(x+5\right)\\\mathrm{Expand\:}48\left(x-2\right):\quad 48x-96\\48\left(x-2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=48,\:b=x,\:c=2\\=48x-48\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:48\cdot \:2=96[/tex]
[tex]=48x-96\\\mathrm{Expand\:}6\left(x+5\right):\quad 6x+30\\6\left(x+5\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=6,\:b=x,\:c=5\\=6x+6\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:5=30\\=6x+30\\48x-96=6x+30\\\mathrm{Add\:}96\mathrm{\:to\:both\:sides}\\48x-96+96=6x+30+96\\Simplify\\48x=6x+126\\\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}\\48x-6x=6x+126-6x\\\mathrm{Simplify}\\42x=126\\\mathrm{Divide\:both\:sides\:by\:}42[/tex]
[tex]\frac{42x}{42}=\frac{126}{42}\\Simplify\\x=3[/tex]
Related Questions
which equation has no solution?
-x-3=5
2x-1= 0
5-3x=-8
x+9=0
Answers
Answer:
5-3x=-8
Step-by-step explanation:
1. 8
2. 1/2
4. 9
Answer:
the answer is C
Step-by-step explanation:
I got it right on time 4 learning
Help me please!!
They problems there! and, please and thank you! :)
Answers
Answer:
Step 1: 1,000, Step 2: 1,000, Step 3: 30,000
Step-by-step explanation:
For the first step all you have to do is find out what times 5 is equal to 5000.
[tex]5*x=5000\\[/tex]
Then for the second one all you have to do is keep the same 1000, because:
[tex](5*6)*1000=30*1000[/tex]
It's the same thing.
Afterwards you can just assume that you'll have 30000 as your answer because multiply 30 by 1000 will give, 30 thousands.
[tex]30*100=30000[/tex]
The ratio x:y is 3: 1 Which of the following statements is correct? A x is 3/4 of y B y is 1/3 of x C x is 1/3 of y D y is 1/4 of x
Answers
Answer: i say B is correct
Answer:
B --> y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
=> x is bigger than y
=> x is 3x bigger than y
=> x = 3 lots of y
=> [tex]x = 3y[/tex]
=> [tex]\frac{x}{3} = y[/tex]
=> [tex]\frac{1}{3} x = y[/tex]
Therefore y is [tex]\frac{1}{3}[/tex] of x
This means that B is correct
today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
Answers
Answer:
Step-by-step explanation:
Let yesterday's price be x
Discount percentage = 36%
Sale price = $ 560
(100-36)% of x = 560
64 % *x = 560
[tex]\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875[/tex]
Yesterday's price = $ 875
4) DeAndre owns 40 shares of a common stock in a automotive company. Last month the price of the stock was $22.50 per share. Today, the price of the stock is $31.25. By how much did the value of the stock increase? Enter your answers as a number like 105.
Answers
Answer:
8.75
Step-by-step explanation:
Find the difference of the prices.
31.25-22.50=8.75
That's how much it increased by
Answer:
350
Step-by-step explanation:
I took the test
(2_{1} + 4_{2})^{4}
----------------------- = Plz answer
2
Answers
Answer: The answer is 1296
Identify if this is a biased or unbiased sample:
To determine the type of music their customers like, all the people attending a concert of a country music singer were surveyed
Biased
Or
Unbiased
Answers
Answer:
i would say Biased
Step-by-step explanation:
HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU WICH OF THE FOLLOWING IS EQUIVALENT TO THE EXPRESSION BELOW? Square root of -169 A)13i B)-13 C)13 D)-13i
Answers
Answer:
A.
Step-by-step explanation:
[tex]\sqrt{-169}=i\sqrt{169} =13i[/tex]
Answer:
The answer would be A 13i
Step-by-step explanation:
Which quadrants does the line representing the equation y = 6x pass through?
Check all that apply.
Answers
which expression can be used to find the surface area of the following rectangular prism?
Answers
Answer:
i think it is C
Step-by-step explanation:
Which product will result in a sum or difference of cubes
Answers
Write all of the complex numbers that are graphed
in the complex plane shown.
А
A:
B:
+
D
c:
+
14
4
D:
+
B
DONE
С
Answers
Answer:
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
In the graph attached,
Real part of a complex number is plotted on x-axis and imaginary part of the complex number on y-axis.
Therefore, in any ordered pair (x, y)
x → Real part of the complex number
y → Imaginary part of the complex number
Complex numbers are,
A : (-2) + (3)i
B : (-1) + (1)i
C : (3) + (-4)i
D : (4) + (1)i
Answer:
A : (-2) + (3)i
B : (-1) + (-1)i
C : (3) + (-4)i
D : (4) + (1)i
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
2.Find the next number in the sequence: 1,−1,3,−5,11,−23,...
Answers
11. Determine the type and number of solutions of x2 - 8x + 16 = 0.
O two imaginary solutions
one real solution and one imaginary solution
O one real solution
O two real solutions
Answers
Answer:
one real solution
Step-by-step explanation:
the equation simplified is (x+4)²
Option 3 (two real solutions) is the right answer.
What is a Quadratic equation and its solution?A quadratic equation in the variable x is an polynomial of degree 2 equation of the form ax²+bx+c = 0 where a, b, c are real numbers a≠0. For example, 2x²-3x+1 =0. And we say that x=α is an solution of a quadratic equation if α satisfies the equation and since its degree is two it will always have 2 solutions which may be real or Imaginary.
Given equation here is : x² -8x+16= 0
x²-2.4x+4²=0
(x-4)²=0
x=4,4
Hence, the quadratic equation has two equal and real solutions.
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ5
the cones below are similar, although not drawn to scale
what is the length of the radius of the larger cone?
A 5 ft
B 6 ft
C 7 ft
D 8 ft
Answers
Answer:
b
Step-by-step explanation:
You first put 18 over 15 then it will become 5/6 and the radius of the first circle is 5 and its given that the cones are similar so the obvious answer is B which is 6
Find the equivalent exponential expression.
[(-4)^3]^2
Answers
Answer:
4096
Step-by-step explanation:
Simplify:
=((−4)3)2
=((−4)3)*((−4)3)
=((−4)*(−4)*(−4))*((−4)*(−4)*(−4))
=(−4)*(−4)*(−4)*(−4)*(−4)*(−4)
=(−4)6
Step by Step:
((−4)3)2
=(−64)2
=4096
Answer: 4096
Hope this helps.
Find the distance between the pair of points . (-3,-6) and (-3, 1)
Answers
Answer:
7
Step-by-step explanation:
add 6 to -6 to get 0
than add 1 to 0 to get 1
6+1=7
John takes out a personal loan for $5.000 at an annual interest rate 7.5% compounded monthly. He plans to pay off the loan (including interest) in 3 years.
At the end of the 3 years, what is the actual amount John would have paid back?
Use the
Round your answer to the nearest cent.
A = P(1+r/n)^nt )
Please help
Answers
Answer:
18,500
Step-by-step explanation:
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
Judith received the following amounts of money for doing chores: $5, $7, $3.50, $5, and $8. Give the mean, median, and mode for her earnings. Write the mean, then the median, and then the mode. Separate your answers with a comma and a space. Don't forget to include the $ sign.
Example: 1, 2, 3
The mean is 1, the median is 2, and the mode is 3.
Answers
Answer:
The mean is $5.70, the median is $5, and the mode is $5
Step-by-step explanation:
Answer:
the mean is $5.7, the median is $5, and the mode is $5
Step-by-step explanation:
What are the zeros of this function?
A. X = 0 and x = 6
B. x = 0 and x = -9
C. x = 0 and x = -6
O D. x = 3 and x = -9
Answers
Answer:
A. X = 0 and x = 6
Step-by-step explanation:
The zeros of the function are where the graph crosses the x axis
It crosses at 0 and 6
x=0 and x = 6
Answer:
A
Step-by-step explanation:
Ap3x (thx for points :)
How do I factor the polynomial -22d²+ 29d-9?
Answers
Answer: (11d-9) x (-2d + 1)
Step-by-step explanation:
22d^2 - 18d + 11d-9
-2d(11d-9) + 11d -9
What is the inequality shown?
Answers
Answer:
Inequality is the opposite of equality and it is shown here in the line starting from -2 ends in a number of a value other than of -2 but 8 so it is inequality
What are the solutions to the expression 4x2+11x−3
Answers
Step-by-step explanation:
4x² + 11x - 3 = 0
(4x-1)(x+3) = 0
x = 1/4, -3
Answer:
x = -3 or x = 1/4
Step-by-step explanation:
Please see the graph in the attachment.
4 x^2 + 11 x - 3= 0
4 (x + 3) (x - (1/4)) = 0
(x + 3)= 0 or (x - (1/4))= 0
x = -3 or x = 1/4
Given that ZBCD and ZBCA form a straight angle, if ZABC measures 55
degrees and ZBCD measures 60 degrees, then the measure of ZBAC is
degrees.
Answers
Answer:
Angle BAC is 5 degrees.
Step-by-step explanation:
It's easiest if you just annotate you diagram as you find each angle. You can do this in lots of different ways, but this is how i got there.
So to find BAC, you need to find ABC and BCA. After you find these two, its just a matter of subtraction, which is simple.
We already know ABC = 55 degrees.
So now we have to find BCA:
1) They told us that BCD is 60 degrees and that its sitting on a straight line
2) From this we can find that BCA is 120 degrees, because a straight line is 180 degrees. 180 -60 = 120 degrees.
Now that we have both ABC and BCA, we can find BAC:
1) The angles of all triangles add up to 180 (idk why, its just how it is)
2) So, if we do 180 - BCA - ABC, we should get BAC
3) So, 180 - 55 - 120 = 5 degrees
Sorry if the explanation was really long, its a bit weird to explain it all in words. Hope it helped : )
When solving the equation 3x = 9, Daniel used a property of algebra and transformed the equation into x=3. Which property did he use?
A) Multiplication
B) Division
C) Addition
D) Subtraction
Answers
Answer:
B)Division
Step-by-step explanation:
3x=9
divide both side by 3 gives you
x=3
When dividing the 3x=9 you need to leave x on its own therefore you decide 3x by 3 to cancel out the multiplication. Than what you do to one side you do to the other so 9/3 = 3 leaving the equation answer: x=3
If a polynomial function f(x) has roots 3+
Answers
Answer:
Step-by-step explanation:
3+√5 is a root.
so 3-√5 is also a root
or (x-(3-√5)) is also a factor of f(x)
8. Write an example of a Quadratic function that has a zero (0) for the "c" term. (2 points)
Answers
Find the volume of a pyramid with a square base, where the perimeter of the base is
5
in
5 in and the height of the pyramid is
3.6
in
3.6 in. Round your answer to the nearest tenth of a cubic inch.
Answers
ANSWER:
1.9
EXPLANATION:
Volume of a pyramid = V= lwh/3
V= Volume
L= Length
W= Width
to get length we divide 5 by 4 which is 1.25
therefore V= 1.25×1.25×3.6/3
V= 1.89
1.89 to the nearest tenth is 1.9
10. What is the formula used to
find the vertex of the parabola.
| (2 points)
Answers
Answer:
y=ax2+bx+c
Step-by-step explanation:
In this equation, the vertex of the parabola is the point (h,k) . You can see how this relates to the standard equation by multiplying it out: y=a(x−h)(x−h)+ky=ax2−2ahx+ah2+k .
Consider the triangles. Triangle G H I. Side G H is 16 inches, H I is 15 inches, G I is 10 inches. Angle G is 65 degrees, H is 48 degrees, I is 67 degrees. Triangle D E F. Side D E is 3 inches, E F is 3.2 inches, D F is 2 inches. Angle D is 67 degrees, E is 48 degrees, F is 65 degrees. What can be concluded about these triangles? Check all that apply. The corresponding angles are proportional. The ratios of the corresponding sides are equivalent. The corresponding sides are congruent. The corresponding angles have the same measure. DE corresponds to IH.
Answers
Answer:
The triangles are Similar Triangles
Step-by-step explanation:
The corresponding angle are NOT proportional
The ratios of corresponding sides ARE equal.
The corresponding sides are NOT congruent.
The corresponding angle HAVE same measure
Two triangles are said to be similar triangle when they have the same shape but not necessarily the same size.
Which means that if two triangle have there corresponding angles congruent, and if there corresponding sides are in ratio, they are considered as Similar Triangle.
Corresponding angle:
∠H = ∠E
∠G = ∠F
∠I = ∠D
All angle are congruent
Ratio of Corresponding sides:
16/3.2 : 15/3 : 10/2
5:5:5
Hence Proved
Question: What can be concluded about these triangles? Check all that apply. Answer: B,D,and E.
