Answer:
x =42.5
x+8 =50.5
3x+2 = 129.5
Step-by-step explanation:
The two angles shown are supplementary, so they add to 180
x+8 + 3x+2 = 180
Combine like terms
4x+10 = 180
Subtract 10
4x = 170
Divide by 4
x =42.5
x+8 = 42.5+8 = 50.5
3x+2 = 3*42.5 +2 = 127.5 +2 = 129.5
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
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).
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
Please Help me on this
Answer:
Fracton: 7/10
Decimal: 0.7
Percent: 70%
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]
Solve. Draw to show your answer. Picture above
Answer:
Barry ate the most cheese.
He ate
[tex]1/2[/tex]
While Marcy ate
[tex]1/4[/tex]
[tex]1/2 >1/4[/tex]
This shows that 1/2 is greater than 1/4
So, Barry ate the most cheese
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 :)
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
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]
What is the first step in solving the quadratic equation x2 = 2?
16
Take the square root of both sides of the equation,
Add to both sides of the equation,
Square both sides of the equation,
Subtract 1 from both sides of the equation,
PLEASE HURRY
Answer:
take square root of both sides
Step-by-step explanation:
you want to isolate x.
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.
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
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:
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
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 represents the factorization of the polynomial below x^2+9x+20
Answer:
(x+5)(x+4)
Step-by-step explanation:
x^2+9x+20
Factor
What 2 numbers multiply to 20 and add to 9
5*4 = 20
5+4 =9
(x+5)(x+4)
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.
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 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.
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
if one out of 60 applications to a specific job was incomplete, how many total applications were received if there were 5 incomplete applications?
Answer:
300
Step-by-step explanation:
1:60
5:300
Answer:300
Step-by-step explanation:
1 out of 60 were incomplete so just multiply 60 by 5
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
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
Right triangle ABC is reflected over AC, then dilated by a scale factor 2/3 to form triangle DEC. Which statements about the two triangles must be true? Select three options.
Answer:
The answer is "all angle will be same"
Step-by-step explanation:
In the given question choices were missing so, the correct choice can be defined as follows:
Given:
ABC reflected over AC and dilated by a scale factor 2/3 from ΔDEC.
Solution:
[tex]\triangle ABC \sim \triangle DEC \angle B \cong \angle E3DE = 2AB[/tex]
Answer: A, B, D
Step-by-step explanation: Edge2023
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]
Solve |4 - 2x| = |3x+ 2|.
Answer:
Step-by-step explanation:4 -2x=3x +2
4-2=3x+2x
2=5x
X=2/5
Answer:
x=2/5, x=-6
Step-by-step explanation:
|4 - 2x| = |3x+ 2| =
4-2x=3x+2
-2x-3x=2-4
-5x=-2
x=-2/-5=2/5 possibility 1
−2x+4=−(3x+2) possibility 2
−2x+4=−3x−2(Simplify both sides of the equation)
−2x+4+3x=−3x−2+3x
x+4=−2
x+4−4=−2−4(Subtract 4 from both sides)
x=−6
Check answers:
2/5(Works in original equation)
x=−6(Works in original equation)
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
The formula for calculating percentage markup is:
O A.
Sticker price - Invoice price
.100 = percent markup
Invoice price
B.
Sticker price - Invoice price
Invoice price
100 = markup
Invoice price - Sticker price
Sticker price
100 = percent markup
OD.
Invoice price - Sticker price
•100 = percent markup
Invoice price
Answer:
A. (sticker price - invoice price)/invoice price *100
Step-by-step explanation:
sticker price: the price that the consumer pays
invoice price: the price that the dealer pays
markup price: is the profit made by the dealer relative to his/her cost. It is calculated as follows:
markup price = (selling price - cost price)/cost price
markup percentage: markup price *100
Answer:
A
Step-by-step explanation: confirmed
15
Which of these article headlines clearly implies causation?
Α.
Autism Linked to Environmental Pollution
B.
Automobile Pollution Increases Risk of Heart Disease
C.
Asthma Attacks Recorded More Frequently in Older Homes
D.
Intake of Nutrients Connected to the Food Supply
DE.
Life Span of a person is Associated with Career Choice
Answer:
B.
Step-by-step explanation:
Causation is often confused with correlation because they are so similar. B would mean that pollution is caused from something (lets say greenhouse gases for example) which then results in more cases of heart disease.
Causation is when the first variable may bring the second into existence or may cause the incidence of the second variable to fluctuate. So, causation is the capacity of one variable to influence another. Which, would make B, a suitable candidate.
Write an equation in slope-intercept form for the line that is perpendicular to the line y = (-1/3)x + 4 that passes through the given point (-4,2). Show your work.
Answer:
Y=3x+14
Step-by-step explanation:
For perpendicular lines they have gradients which are recipricol to one another and -ve
E.g 1/3 gradient of perpendicular line is-3
Gradient of the perpendicular line is 3
Y-2/x--4=3
Y-2=3(x+4)
Y-2=3x+12
Y=3x+12+2
Y=3x+14