Answer:
1 1/6
Step-by-step explanation:
4 2/3 ÷ 4
Convert the mixed number into an improper fraction:
4 2/3 = 14/3
14/3 ÷ 4
14/3 ÷ 4/1
Use cdf (copy dot flip)
14/3 × 1/4
14 × 1 / 3 × 4
14/12
Convert improper fraction into a mixed number:
14/12 = 1 2/12
1 1/6
A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $60 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rentals cost for company A and company B are the same.
please help..
Answer:
12 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 120 + 0.20x
Company B: 60 + 0.40x
Set up an equation:
120 + 0.20x = 60 + 0.40x
60 + 0.20x = 0.40x
60 = 0.20x
12 = x
I divide my favorite number by its reciprocal , the quotient is 10 times as large as my favorite number. My favorite number is..
A. 1/10
B. 1/5
C. 1/2
D. 10
Answer:
1/10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
x is the favorite number
x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)
[tex]x^{2}[/tex]=10x (divide both sides by x)
x=10
If(2x,x+y)=(y,9)find x and y.
Answer:
the value of X is 3 and y is 6 .
find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)
Answer:
hi,
Step-by-step explanation:
Let say P=(x,y) a point of the locus
[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]
[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]
Locus is the circle of center (2/3,7/3) and radius =2√2 /3.
Find the distance between the points.
(9.7, -2.1), (-3.2, 8.1)
help
hvcjhjcfhjhgvhkgbnvg
Answer:
f(1)=1+2=3, as 1 is odd
f(2)=2*2=4
f(3)=3+2=5
f(4)=2*4=8
f(11)=11+2=13
-1/2x3/5 divided by (-51/40)
plz help me simplify this
-4/17
Step-by-step explanation:
-1/2×3/5÷-51/40
= -1/2×3/5×40/51
=-4/17
23 - C<6
I cannot find the answer can someone help me?
Answer:
C > 17
Step-by-step explanation:
23 - C < 6
-23 -23
-----------------
-C < -17
multiply both sides by -1
(-c) (-1) > (-17) (-1)
C > 17
Select the equivalent expression.
5
23
=?
42
Choose 1 answer:
A
44
215
410
46
47
Answer:
The choose B.
[tex] \frac{2^{15} }{ {4}^{10} } [/tex]
I hope I helped you^_^
Convert 19.3 picometers per squared kiloseconds (pm/ks^2) into megameter per squared nanoseconds (Mn/ns^2).
Unit conversion involves the conversion of a metric unit to another unit of the same quantity.
[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]
Let:
[tex]x = 19.3 pm/ks^2[/tex]
Multiply by [tex]10^{-17[/tex] to convert megameter per squared kiloseconds
[tex]x = 19.3 \times 10^{-17} Mn/ks^2[/tex]
Divide by [tex]10^{24[/tex] to convert to megameter per squared nanoseconds
[tex]x = \frac{19.3 \times 10^{-17}}{10^{24}} Mn/ns^2[/tex]
Apply law of indices:
[tex]x = 19.3 \times 10^{-17-24} Mn/ns^2[/tex]
[tex]x = 19.3 \times 10^{-41} Mn/ns^2[/tex]
Hence:
[tex]19.3 pm/ks^2[/tex] to megameter per squared nanoseconds is [tex]19.3 \times 10^{-41} Mn/ns^2[/tex]
Read more about unit conversions at:
https://brainly.com/question/19420601
Find the solution to this equation.
x + 4 = 2x + 8
2
A
All real numbers
B.
No solution
Answer:
A. All real numbers.
Step-by-step explanation:
[tex]x + 4 = \frac{2x + 8}{2} \: \: multipling \: both \: sides \: by \: 2 \\ 2(x + 4) = 2x + 8 \\ 2x + 8 = 2x + 8[/tex]
When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. Any value for x that you can think of will make this equation true.
Factor this polynomial expression.
x2 + 8x + 16
A. (x-8)(x - 2)
B. (x + 4)(x + 4)
C. (x+8)(x+2)
D. (x-4)(x - 4)
Answer:
I think (x+4) (x+4) is right answer.
Step-by-step explanation:
here,
x2+8x+16
=x2+(4+4)x+ 16
=x2+4x+4x+16
=x(x+4)+4(x+4)
=(x+4)(x+4) Ans
The perimeter of rectangle is 84 feelthe length of the rectangle is twice its width, what are the dimensions (length and width) of the rectangle?
Answer:
Length = 28
Width = 14
Step-by-step explanation:
14 + 28 = 42
42 x 2 = 84
28 / 14 = 2
2a + 9 = 4 then a = _______
Answer:
[tex]a=\frac{-5}{2}[/tex]
Step-by-step explanation:
[tex]2a+9=4[/tex]
[tex]2a=4-9[/tex]
[tex]2a=-5[/tex]
[tex]a=\frac{-5}{2}[/tex]
How would you write the expression "6 is less than a number tripled?"
Answer:
3q
Step-by-step explanation:
i think
Answer:
6< 3x
[where 3x = a number tripled]
What is the length of AB?
Select the best answer from the choices provided.
A.3.5
B.3
C. 7
D.14
Find the value of x.
Answer:
Step-by-step explanation:
Those two angles are equal. They are corresponding angles. In two parallel lines crossed by a transversal. 8 angles are produced. 4 have one value and the other 4 are supplementary to the first four.
These 2 are part of the first group of 4.
So 12x - 8 = 104
12x - 8 + 8 = 104 + 8
12x = 112
x = 9 1/3
factorisation
[tex] {x}^{3} - x[/tex]
Step-by-step explanation:
x³-x
by taking out common term, we get
x(x²-1)
Now, by using the formula of a²-b², we get
x(x²-1²)
x(x+1)(x-1)
I hope it helped U
stay safe stay happy
Answer:
[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]
I hope I helped you^_^
The perimeter of an equilateral triangle can be represented by 6x+36. Which of the following expressions represents the length of one of the sides of the triangle?
A. 3(2x+12)
B. 2x+12
C. 6x+33
D. 3x+18
Please help quick!!
Answer:
2x + 12
Step-by-step explanation:
6x + 36 / 3 =
(6x)/3 + (36)/3 = 2x + 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If m varies directly with t, and m = 4 when t = 12, what is the value of t when m= 12?
o
O 20
O 24
O 36
Answer:
4
Step-by-step explanation:
k=4÷12=1÷3
t=12×1÷3=4
I need help with this please help me
Please help its line segments
Step-by-step explanation:
[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]
Answer:
x=13
Step-by-step explanation:
BC = CD
6x-16 = 4x+10
Subtract 4x from each side
6x-16-4x = 4x+10-4x
2x-16 = 10
Add 16 to each side
2x-16+16 = 10+26
2x = 26
Divide by 2
2x/2 =26/2
x = 13
15 people fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size o a crowd that is 30 feet deep on both sides of the street along a 2-mile section of a parade route. (Hint: 1mile= 5,280ft)
158,400 people will fit into an area with a dimension of 30feets by 2 miles.
The area of the street can be calculated thus :
Area = Length × width
Converting the width to feets :
1 mile = 5280 feets
2 miles = x
Cross multiply :
x = 5280 × 2 = 10560 feets
Area = 10560 ft × 30ft = 316800 ft²
Since 15 people fit into an area with dimension which is 6 ft by 6ft
Area = 6 × 6 = 36 ft²
Let x = number of people
15 people = 36 ft²
x people = 316800 ft²
Cross multiply :
x = (316800 × 15) / 36
x = 158,400 people
Hence 158,400 people will fit in.
A similar question can be found here : https://brainly.com/question/13081090
-4 times a number plus 29
Step-by-step explanation:
Let the number be x, then
-4(x+29)
Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
Answer:
D. 216/625Step-by-step explanation:
The length of the segment JM is 25 units.The segment JL is between 0 and 12, so is 12 units.The segment KL is between 5 and 12, so is 7 units.The probabilities for each point:
P(point on JL) = 12/25P(point not on KL) = 1 - 7/25 = 18/25Required probability:
P = 12/25*18/25 = 216/625Correct choice is D
pls answer my question
Answer:
have a great day
god is great
4. Your gross pay is $459, they take out 6.25% for income taxes and 7.65% for FICA
(Social Security & Medicare). How much is your net pay?
If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.
Answer:
6.25%*459=28.6875
7.65%*459=35.1135
459-28.6875=430.3125
430.3125-35.1135=395.199
19 of 25 QID: 94600
For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).
0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3
Answer:
4; 17/4; 5
Step-by-step explanation:
For f(0)
Replace all x to 0:
f(0)=0^2+4
4
For f(1/2)
1/2^2+4
Which is 17/4
For f(-1)
-1^2+4
Which is 5
Hope this helps!
For her phone, Halima pays a monthly fee of 18 AED and she pays an additional 5 fils per minute of use. The least she has been charged in a month is 71.90 AED. What is the minimum number of minutes she has used on her phone in a month?
Answer:
1078 minutes
Step-by-step explanation:
18 + 0.05x = 71.90
0.05x = 71.90 - 18
0.05x = 53.9
x = 53.9/0.05
x = 1078 minutes
The minimum number of minutes is 1078 minutes.
To find the minimum number of minutes she has used on her phone in a month.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers.
Given that :
Halima pays a monthly fee of 18 AED and she pays an additional 5 files per minute of use. The least she has been charged in a month is 71.90 AED.
so, that
18 + 0.05x = 71.90
0.05x = 71.90 - 18
0.05x = 53.9
x = 53.9/0.05
x = 1078 minutes
So, the minimum number of minutes is 1078 minutes.
Learn more about arithmetic here:
https://brainly.com/question/24394764
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A movie with an aspect ratio of 2.35:1 is shown as a letterboxed image on an older 25-inch 4:3 television. Find the height of the image, the height of each black bar at the top and bottom of the screen, and the percent of the screen’s area that is occupied by the image. Use a variety of representations to justify your response. Based on your analysis of television aspect ratios, why do you think the consumer market has moved having wide screen TV in the home?
The aspect ratio represents the ratio of the width to the height of a television.
The height of the image on the 25-inch television is 15 inches The height of each black bar is 8.51 inches The percentage of the screen area occupied is 56.73%Consumers moved to screens with wide screen to get clearer images.The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the older 25-inch [tex]4:3[/tex] TV is x.
The ratio is represented as:
[tex]Width : Height = 4:3[/tex]
Using Pythagoras theorem, we have:
[tex]Width^2 + Height^2 = 25^2[/tex]
[tex](4x)^2 + (3x)^2 = 25^2[/tex]
[tex]16x^2 + 9x^2 = 625[/tex]
[tex]25x^2 = 625[/tex]
Divide both sides by 25
[tex]x^2 = 25[/tex]
Take positive square roots
[tex]x = 5[/tex]
So, the height of the image is:
[tex]Height = 3x[/tex]
[tex]Height = 3 \times 5 = 15[/tex]
While the width is
[tex]Width = 4x = 4 \times 5 = 20[/tex]
Hence, the height of the image is 15 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 2.35 : 1[/tex]
Where
[tex]Width = 20[/tex]
So, we have:
[tex]20 : Height = 2.35 : 1[/tex]
Express as fraction
[tex]\frac{Height}{20} = \frac{1}{2.35}[/tex]
Make Height the subject
[tex]Height = \frac{20}{2.35}[/tex]
[tex]Height = 8.51[/tex]
The height of each black bar at the top and at the bottom is 8.51 inches
The percentage of the screen’s area that is occupied by the image is calculated using
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
Where
[tex]A_1 \to[/tex] Area of black bars
[tex]A_2 \to[/tex] Area of the 25-inch 4:3 television
So, we have:
[tex]A_1 =8.51 \times 20 = 170.2[/tex]
[tex]A_2 =15 \times 20 = 300[/tex]
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex] becomes
[tex]\% Screen = \frac{170.2}{300} \times 100\%[/tex]
[tex]\% Screen = \frac{170.2}{3} \%[/tex]
[tex]\% Screen = 56.73 \%[/tex]
Hence, the percentage of the screen area occupied is 56.73%
Consumers moved to TV with a wide screen because a TV with wide screen shows bigger pictures than smaller dimension TV screens,
When the pictures are bigger, the consumers will have a clearer view of what they're watching.
Read more about aspect ratios at:
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