Answer:
x = -4
Step-by-step explanation:
Make x variable on one side.
(x - 2)/3 = (2x + 4)/2
Simplify.
x/3 - 2/3 = 2x/2 + 2
x/3 - 2/3 = x + 2
Add 2/3 and -x on both sides.
x/3 - x = 2 + 2/3
-2/3x = 8/3
Multiply -3/2 on both sides.
x = -4
Answer:
x=-4
Step-by-step explanation:
(x-2)/3 = (2x+4)/2
We can use cross products
(x-2) *2 = 3(2x+4)
Distribute
2x-4 = 6x+12
Subtract 2x from each side
2x-4-2x = 6x-2x+12
-4 = 4x+12
Subtract 12
-4-12 = 4x+12-12
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
PLEASE HELP ME ILL MARK AS BRAINLIEST
Answer:
I think that you would divide all the euros by 1.35 to get the pounds
if thats right then the answer should be £2504.07407408
Step-by-step explanation:
i did this by first getting the hotel price (125 euros per night) and timesing that by 14 as they stay for 14 nights, this gives you 1750
then i converted 1750 to pounds by dividing 1750 by 1.35 to get £1296.2962963
next i did the wifi price (6 x 13 = 78, 78 divided by 1.35 = £57.7777777778)
after that i added those two prices together to get £1354.07407408
the final step was to add £1150 so i got £2504.07407408, and that hopefully should be the answer !
hope this works :)
ABCO is the image of ABCD What transformation(s) would result in this image?
ABCD is reflected over the line v
Acis dilated about the origin with a scale factor of
ABCD is reflected across the y-axis and then the x-axis,
ABCD is rotated 1806 around the origin
Answer:
D. ABCD is rotated 180° around the origin
Step-by-step explanation:
The formula for an 180° rotation around the origin is (-x, -y).
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm
Answer:
72.9°solution,
[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]
hope this helps ....
Good luck on your assignment...
By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
What are Trigonometric identities ?Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
We have given that x=4cm , y=4cm and z=13cm.
By applying trigonometry of tan which is perpendicular upon base i.e. P/B
A triangle would be constructed , base would be z=13cm
and x and y will define the other 2 lines of 4 cm each.
tan Ф = perpendicular/ base,
tan Ф = 13/4
Ф = tan [tex]^{-1}[/tex] (3.25cm)
Ф = 72.9°
Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.
Learn more about trigonometric;
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Type the correct answer in the box. Use numerals instead of words.
A car is traveling in a straight line at a speed of 55 miles per hour. How fast is the cart
1 minute = 3,600 seconds
1 mile = 5,280 feet
Express the answer to the correct number of significant figures.
The car is _____traveling
feet per second.
Answer:
1.34 feet/seconds
Step-by-step explanation:
Looking at the above question, we would be converting 55 miles per hour to feet per seconds.
From the above question, we are given the following conversion values
1 minute = 3,600 seconds
1 mile = 5,280 feet
55 miles per hour = 55 mile / 1 hour
So,
If 1 mile = 5,280 feet
55 miles = x feet
We cross Multiply
x = 5,280 × 55
x = 290,400 feet
Hence, 55 miles = 290,400 feet
1 hour = 60 minutes
If 1 minute = 3,600 seconds
60 minutes = x seconds
We cross multiply
x = 60 × 3,600
x = 216,000 seconds.
This means
60 minutes = 216,000 seconds
In other to find out how fast is the car is,
Speed = Distance / Time
Speed = 290,400 feet/216,000 seconds
Speed = 1.3444444444 feet/seconds
To the to the correct number of significant figures, the car is traveling at 1.34 feet per second.
What is four hundred twenty-eight and forty-six hundredths written in standard form? 5th grade
428.46
400+28+.46= 428.46
Trust me if you remember what hundredths and tenths mean it will help a lot in 6-7th grade math.
You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24
Answer:
Step-by-step explanation:
If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining
Draw an angle and then draw the opposite ray to one of its sides, to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle measures 50°, 90°, and 150°. 1. If the angle equals 50°, then the measurement of the required angle is ? 2. If the angle equals 90°, then the measurement of the required angle is ? 3. If the angle equals 150°, then the measurement of the required angle is ?
Answer:
(1)155 degrees
(2)135 degrees
(3)105 degrees
Step-by-step explanation:
Let the original angle [tex]= \theta[/tex]
Angle Bisector of the original angle = [tex]\dfrac{ \theta}{2}[/tex]
If the other angle forms a linear pair, then:
The other angle, [tex]\beta=180^\circ-\theta[/tex]
Therefore, the measure of the angle formed by the angle bisector of the original angle and the opposite ray is:
[tex]\dfrac{ \theta}{2}+180^\circ-\theta\\=180^\circ-\dfrac{ \theta}{2}[/tex]
(1)If the angle equals 50°
Then the measurement of the required angle
[tex]=180^\circ-\dfrac{ 50}{2}\\=180^\circ-25^\circ\\=155^\circ[/tex]
(2)If the angle equals 90°
Then the measurement of the required angle
[tex]=180^\circ-\dfrac{ 90}{2}\\=180^\circ-45^\circ\\=135^\circ[/tex]
{3)If the angle equals 150°
Then the measurement of the required angle
[tex]=180^\circ-\dfrac{ 150}{2}\\=180^\circ-75^\circ\\=105^\circ[/tex]
See attachment for an example of the graphical solution.
What is the 8th term in the binomial expansion of (2x+1)^9?
Answer:
512 x 9 − 2304 x 8 + 4608 x 7 − 5376 x 6 + 4032 x 5 − 2016 x 4 + 672x 3 − 144 x 2 + 18 x − 1
Step-by-step explanation:
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
What is the 48th term of the arithmetic sequence with this explicit formula?
an=-11 + (n - 1)(-3)
O A. -155
B. -141
C. -133
D. -152
SUBMIT
Answer:
D
Step-by-step explanation:
Put n as 48 and solve.
-11 + (48 - 1)(-3)
- 11 + (47)(-3) = -152
What is the product of 6x – 5 and 8x + 3 Your answer: 14x – 2 -2x – 8 6x2 -13x +15 48x2 -22x -15
Answer:
48x^2 - 22x - 15
Step-by-step explanation:
(6x - 5)(8x + 3)
48x^2 + 18x - 40x - 15
48x^2 - 22x - 15
If (NN)^3 = 8518N, what digit does N represent?
(A) 1
(B) 2
(C) 4
(D) 5
(E) 6
Answer:
(C) 4
Step-by-step explanation:
I am going to solve this by trial and error:
(A) 1
Is: [tex](11)^{3} = 85181[/tex]?
[tex](11)^3 = 1331[/tex]
So 1 is not the digit of N.
(B) 2
Is: [tex](22)^{3} = 85182[/tex]?
[tex]22^3 = 10648[/tex]
So 2 is not the digit of N.
(C) 4
Is: [tex](44)^{3} = 85184[/tex]?
[tex]44^3 = 85184[/tex]
Correct, so the answer is c.
(D) 5
[tex]55^3 = 166375 \neq 85185[/tex]
(E) 6
[tex]66^3 = 287496 \neq 85186[/tex]
Subtract.
(5x2 + 7) - (3x - 2)
O A. 5x2 – 3x+9
O B. 5x2 – 3x+5
O c. 2x2 + 5
O D. 2x2 +9
Lmk
Answer:
5x^2 -3x +9
Step-by-step explanation:
(5x2 + 7) - (3x - 2)
Distribute the minus sign
5x^2 +7 -3x +2
Combine like terms
5x^2 -3x +9
can anyone help with this using soh cah toa and rounding the answer to the nearest tenth of a foot?
Answer:
X=12.09
Step-by-step explanation:
Tangent=opposite/adjacent
Tan29=6.7/x
X tan29=6.7
X=6.7/tan29
X=12.087
X=12.09
In the triangles, BC 2DE and AC FE.
If mZc is greater than mZE, then AB is
DF
MA
O congruent to
o longer than
shorter than
the same length as
A
CF
E
The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Answer:A
Step-by-step explanation:
Answer: Letter A
Step-by-step explanation:
What is 39,182 written in expanded form
Answer:
39,182 in expanded form:
Step-by-step explanation:
30,000 + 9,000 + 100 + 80 + 2
Find the product Enter the answer below
Answer:
56/33
Step-by-step explanation:
8/11 * 7/3
Multiply the numerator
8*7 = 56
Multiply the denominator
11*3 = 33
Put the numerator over the denominator
56/33
Answer:
56/33
Step-by-step explanation:
[tex]\frac{8}{11} *\frac{7}{3}[/tex] Original equation
[tex]\frac{8*7}{11*3}[/tex]
[tex]\frac{56}{33}[/tex] Simplify
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.
Answer:
125 meters squared
Step-by-step explanation:
Surface area of initial pyramid:
A= 10²+4*1/2*10*15= 400 m²Surface area of extended pyramid:
A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²The difference is:
525- 400= 125 m²an arithmetic sequence has this recursive formula:
Answer:
Option D is the correct option.
please see the attached picture for full solution..
Hope it helps...
Good luck on your assignment...
Solve the following system of equations. What is one x-value of a solution?
f(x) = x2 + 4x + 10 g(x) = -32x - 40
a. x = 5
b. x = -5
c. x = 6
d. x = 2
Answer:
There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555
Step-by-step explanation:
Given the functions:
f(x) = x² + 4x + 10
g(x) = -32x - 40
we want to find the points at which f(x) = g(x).
x² + 4x + 10 = -32x - 40
x² + 4x + 10 + 32x + 40 = 0
x² + 36x + 50 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]
[tex]x = \frac{-36 \pm 33.11}{2} [/tex]
[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]
[tex]x_1 = -1.445 [/tex]
[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]
[tex]x_2 = -34.555[/tex]
Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digits and the same letter always represents the same digit. What is the smallest whole number that can be the value of this expression?
Answer:
well if you go by the allaphat then A would be the smallest digit
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Evaluate e4 to one decimal place.
Answer:
54.6
Step-by-step explanation:
When we plug e^4 into the calc, we get 54.5982, which we round to get our final answer.
I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST
Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER
5x−3−7x = 15−x What is x?
Answer:
x = -18Step-by-step explanation:
[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]
[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]
The value of y when x=7
Answer:
y = 49
Step-by-step explanation:
y ∝ x²
=> y = kx²
Where k is the constant of proportionality
k = 1 (We've found this out in the previous question)
Now,
y = ? when x = 7
The above equation becomes:
=> y = (1)(7)²
=> y = (1)(49)
=> y = 49
Which of the following is the correct factorization of the trinomial below?
-7X+5x+12
Step-by-step explanation:
I recommend that you download the symbolab application, it is very good, it helps a lot
Which conversion requires multiplication? A deciliter- liter B liter- kiloliter C kiloliter- liter D milliliter - centiliter
Answer:C
Step-by-step explanation: because multiplication is only follow when you convert greater unit to smaller unit which in this case is kilolitres to liters
PLEASE MARK ME AS BRAINLIEST
Answer:
C
Step-by-step explanation:
So the other person can be brainleist
Which weighs more: 16 oz. of soda or a solid pound of gold?
Answer:
Gold weighs more
Step-by-step explanation:
The fact that they both equal 16 oz confirms the fact that gold weighs more. The reason for this is because even if the mass is the same the weight involves the gravitational pull on the earth meaning gold is greater.
1 pound of gold weighs more than 16 ounces of Soda.
We are told that;
Weight of soda = 16 Oz (ounces)
Weight of gold = 1 pound
Now, from conversions between pounds and ounces, 1 pound = 16 oz
Thus means that soda too also has a mass of 1 pound same as Gold.
However, despite the fact that they have the same mass, it doesn't mean they weigh the same because Gold has a gravitational pull which means force of gravity on it from the earth and it means it will weigh more.
Read more at; brainly.in/question/25346071