Answer:
35%
Step-by-step explanation:
He pays 525 out of 1500 dollars.
525/1500 = 7/20
= 0.35
Marlon pays in rent 35% of his earnings.
solve for x. 7x+4=30
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
help me please :( ill give u brainnlyyyyyyy :DDD
Answer:
180 grams
Step-by-step explanation:
2 people = 5 ounces
6 people= 5*3= 15 ounces
1 ounce= 28 grams
15 ounces= 15*28 grams= 420 grams
There is 240 grams already on the weight, so
420- 240= 180 grams more of diced onions are required
Find the midpoint of the line segment with end coordinates of: (1,7) and (3,−2) Give coordinates as decimals where appropriate.
Answer:
(2, 2.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus
midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )
A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
(1,0), (4,0), (7,0)
O(-1,0), (-4,0), (-7,0)
O (1,0), (4,0), (-7,0)
O(-1,0), (-4,0), (7,0)
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
Work out 1/2 x 7 giving you answer as a mixed number.
Answer:
[tex]3 \frac{1}{2} [/tex]
solution,
[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment....
The answer in mixed number is written as [tex]3\dfrac{1}{2}[/tex]
The given expression is [tex]\dfrac{1}{2} \times 7[/tex].
Mixed fraction is composed of an integer with a proper fraction.
A proper fraction is one which has numerator's value smaller than that of denominator.
The conversion will go like shown below:
[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]
Thus, the resultant mixed number of given expression will be given as [tex]3\dfrac{1}{2}[/tex]
Learn more here:
https://brainly.com/question/236680
Which graph represents the equation below
Answer:
c.
Step-by-step explanation:
c is the correct answer 1,4
Answer:
graph C
Step-by-step explanation:
so the equation given is [tex]f(x)=-(x+1)(x-3)[/tex]
the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward. This eliminates graphs A and B
the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)
All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:
x+1=0 -- subtract 1 from both sides to get -- x=-1
x-3=0 -- add 3 to both sides to get -- x=3
Therefore, -1 and 3 are your zeros or x-intercepts for the function.
Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis
The only graph that works is graph C so graph C is your answer
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
Which of the following is equal to the polynomial given above?
Answer:
its the last one
Step-by-step explanation:
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y2 Is the student’s work correct? No, she did not multiply –6y2 by 2 correctly. No, she did not add 3y2 and –12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly.
Answer:
No, She did not use the distributive property correctly.
Step-by-step explanation:
While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].
Answer:No, She did not use the distributive property correctly.
Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
Worker A could paint a whole room in 2 hours. Worker B could paint a whole room in 3 hours.
How many parts of the room could both of them paint in 1 hour if worker A and worker B worked together.
half of room because worker A can paint fast so he will paint fast
Answer:
5/6 of the room would be painted if both of them painted the room together in 1 hour
Step-by-step explanation:
Work done by A in 1hour=1/2
Work done by B in 1hour=1/3
Therefore total work done by both in 1hr=1/2+1/3
LCM of 2 and 3 is 6
therefore 1/2+1/3=3/6+2/6=5/6
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely, then place the answer in the proper location on the grid. x 3 - y 3
Answer:
The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
Step-by-step explanation:
We know that:
[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]
Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:
[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]
[tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]
Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].
The Empire State Building in New York City is 1250 ft tall. What is the
distance from the top of this building to the horizon to the nearest mile? (Hint: 5280 ft 1 mi; radius of Earth 4000 mi)
Answer:
33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
Which of the following best describes the slope of the line below?
A. Zero
B. Positive
C. Negative
D. Undefined
Answer:
C. Negative
Step-by-step explanation:
We know that
The farther right this line goes the further it goes down.
This is a negative slope.
If this line was directly vertical it would be undefined.
If it was horizontal it would be zero.
Answer:C
Step-by-step explanation:
Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.
rationalize the denominator of
1/3+√2
Answer:
(-√2 + 3)/7
Step-by-step explanation:
To rationalize the denominator, we need to multiply by the conjugate:
1/(3 + √2)*(3 - √2)/(3 - √2)
(3 - √2)/(9 - √4)
(3 - √2)/(9 - 2)
(-√2 + 3)/7
In a study of pain relievers , 100 people were given product A , and all but 33 experienced relief . In the same study , 50 people were given product B , and all but 12 experienced relief
Answer:
Here we want to find the relative frequencies for both products.
for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.
Then, we can find the relative frequency as:
Pa = (33/100)*100% = 33%
this means that product A is not efficient in 33% of the cases.
For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:
Pb = (12/50)*100% = 24%.
This means that product B is not efficient in 24% of the cases.
We can see that, in percentage, the product B seems to be more efficient.
Find 3 rational number between: 1) -5 and -6 2)
Answer:
3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.
Step-by-step explanation:
Answer:
-5.2, -5.6, and -5.8.
Step-by-step explanation:
3 rational numbers between -5 and -6.
-5 > x > -6
Where x is a rational number, that can be expressed in p/q form.
The numbers can be -5.2, -5.6, and -5.8.
-5.2 = -26/5
-5.6 = -28/5
-5.8 = -29/5
The numbers can be expressed in p/q form, so they are rational.
10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each of the numbers.
The sum of two numbers is 13 more than twice the first number:
x + y = 2x +13
x - y = y - 14
solve the system of equations:
x - (x + 13) = (x +13) - 14
x = -12
y = 1
What is the value of
–8(17-12)
-2(8-(-2))
?
-4
-2
оооо
2
4
,
Can u guys PLEASE answer this question ASAP. The line l has equation y=3x+5
1)what is the y intercept
2)what is the gradient
3)find the equation of the line that has the same y intercept as l but has a gradient of 1/2
4) find the equation of the line that has the same equation as l but has a y intercept of -2
Answer:
try to look in desmos graphic calculator
Step-by-step explanation:
Expand the following bracket -8(2d-3)
Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Answer:
-16d + 24
Step-by-step explanation:
-8(2d - 3)
Expand or distribute.
-8(2d) -8(-3)
Multiply the terms.
-16d + 24
2. Solve by factoring?
a) x2 + x - 20 = 0
b) x = 36
c) *+ 12x = -36
d) x = 10x
Answer:
Step-by-step explanation:
a :x²+x-20 = 0 to factor we can calculate the dicriminant we get 81 so we have two solutions after factoring using the dicriminant we get : (x+5) (x-4) so x= 4 or x= -5 b :x= 36 x-36 = 0 x-6²=0(√x+6)(√x-6) = 0 √x = 6 or √x= -6 ( impossible for real numbers) x= 6² x= 6d: x= 10x x-10x=0 x(1-10) = 0 -9x = 0 x= 0
Round 0.0008873319 to 2 significant figures
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.
"If you did a 6 feet hole, how deep is the hole"?
Answer:6 ft
Step-by-step explanation:
Answer:
6ft
Step-by-step explanation:
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
6y + 3 + (2y + 3) = please help me
Answer:
y = -3/4
Step-by-step explanation:
1. Simplify all terms - 8y + 6 = ?
2. Set to two sides - 8y = -6
3. Solve - y = -6/8 = -3/4
Hope this helps:)
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.