Answer:
0.00995024875622
Step-by-step explanation:
Answer:
0.0099502487562189054726
Step-by-step explanation:
divide 50 by 5025
A person is choosing between two cellphones.Data Plan A has a monthly free of $35 with a charge of $12 per gigabyte(GB).Data Plan B has a monthly fee of $25 with a charge of $17 per GB.
a) for how many GB of data will the costs for the two data plans be the same?what is the cost for each plan?
Answer:
When you use 2 GB
Step-by-step explanation:
Data Plan a Formula 35(12p)
P = per GB
Data Plan B 25(17p)
Set each on equal to each other
Please Check my work, but I think this is on the right track.
The costs for both the data plans A and B will be the same for 2GB of data. The cost for each plan will be $59.
Explanation:This problem is essentially asking us to find the number of gigabytes (GB) at which both data plans A and B cost the same. We can form two equations representing the costs of the plans. For plan A, the cost is $35 + $12 per GB. For plan B, the cost is $25 + $17 per GB. We can express these costs mathematically as: 35+12x=25+17x (where 'x' is the number of gigabytes). By solving this equation for 'x', we subtract 25 from both sides and also subtract 12x from both sides, which gives us 10 = 5x. Dividing by 5 from both sides give us x = 2 GB. So, for 2GB of data, the costs for both the data plans will be the same and the cost for each plan is $35 + 12(2) = $59 for plan A and $25 + 17(2) = $59 for plan B.
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Will Has $2.25 in nickels and dimes . If there are twice as many dimes and nickels how many nickels and dimes does will have
Answer:
18 dimes and 9 nickels
Step-by-step explanation:
I assume you mean twice as many dimes "then" nickels which would make it 18 dimes = 1.80$ 9 nickels=0.45$
If $1,000 is invested at 16% interest, compounded continuously, for five years,
what is the ending balance?
-
$1,225,54
$2,225.54
$225.54
$22,255.40
Answer:
$2,225.54
Step-by-step explanation:
Principal, p = $1000
interest rate r = 16% 0r 0.16
years of deposit, t = 5
Finding ending balance below
Since interest compounded continuously,
Substitute the following values
p = $1000, e = exponent, r = 0.16 and t = 5
B = 1000e^((0.16)(5))
=1000e^(0.8)
=1000 X 2.2255409284924676
=2,225.5409284924676
Which B is approximately $2,225.54
Ending balance =$2,225.54
Assuming the amount of $1,000 was invested at an interest rate of 16%, compounded continuously, for a period of five years, what the ending balance will be is: $2,225.54
p represent Principal = $1000
r represent Interest rate= 16% or 0.16
t represent=5 years
Now let determine the ending balance
Ending balance= $1000e^(0.16)(5)
Ending balance=$1000e^(0.8)
Ending balance=$1000 X 2.2255409284924
Ending balance=$2,225.5409284924
Ending balance=$2,225.54 (Approximately)
Inconclusion if the amount of $1,000 was invested at an interest rate of 16%, compounded continuously, for a period of five years, what the ending balance will be is: $2,225.54
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Jerome uses the formula, P = 2DB, to find approximate six month premium when his driver risk factor, d, is 1.02 and the basic six month premium is $500.
A. $170.00
B. $270.60
C. $300.50
D. $332.00
Answer:
A- 170$
Step-by-step explanation:
The approximate six month premium is $170.
What is a linear equation?A linear equation is an equation in which there is one variable that is raised to the power of 1. An example is x + 2
What is the one month premium?In order to determine the six month premium, substitute for d and b in the given equation:
P = 2 x 1.02 x $500 = $1020
Monthly premium = $1020 / 6 = $170
Here is the complete question:
Jerome uses the formula, P = 2DB, to find his approximate six-month premium when his driver risk factor, D, is 1.02 and the basic six-month premium is $500.What will his monthly premium be?
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Given: marked, PQ=8
PR=2x, TU=2z+3, ST=5z
Find: PR and ST
Answer:
PR=8; ST=5
Step-by-step explanation:
Find PR:
PQ=PR
8=2x
x=4
PR=2x=2(4)=8
Find ST:
TU=ST
2z+3=5z
3=3z
z=1
ST=5z=5(1)=5
what is the answer to
3/8 +-4/5+-3/8+5/4
Answer:
0.45
Step-by-step explanation:
No explanation calculators rule
What is 1/3 divided by 5/6?
Please help me don’t get it
Answer:
=0.4
Step-by-step explanation:
1/3= 0.33
5/6=0.83
Then: 0.33/0.83 = 0.4
You can also do 6/15 which results from (1*6)=6 and (3*5)=15
Evelyn says that the equation 3(x - 3) + 5 = 3x + 1 + 4
has infinitely many solutions because the variable terms
on each side are the same. Do you agree with Evelyn?
Explain why or why not.
When x dissapears we have a false equation:
-4 = 5, so the equation does not have solutions, which means that Evelyn is incorrect.
The equation has infinite solutions?
Let's simplify the equation:
3(x - 3) + 5 = 3x + 1 + 4
distributing the left side.
3x - 9 + 5 = 3x + 1 + 4
3x - 4 = 3x + 5
If you subtract 3x in both we will get:
3x - 4 - 3x = 3x + 5 - 3x
-4 = 5
This is false, and x disappeared, so there is no value of x that makes this equation true, meaning that the equation does not have a solution.
Factor the expression below. x^2+9x+8
Answer:
(x + 1)(x + 8)
Step-by-step explanation:
Given
x² + 9x + 8
Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 9)
The factors are + 1 and + 8, since
1 × 8 = 8 and 1 + 8 = 9, thus
x² + 9x + 8 = (x + 1)(x + 8)
Determine the x and y Intercepts for the graph defined by the given equation
y=x+8
a. X-interoept is (0,8)
0. x Interceptis (-3,0)
-interoept is (-8,0)
y-interoept is 0.8)
b. x-interoept is (0-8)
d. x-interoept is (8,0)
y-intercept is (8,0)
y-interoept is (0-8)
Please select the best answer from the choices provided
Answer:
x- intercept (- 8, 0), y- intercept (0, 8)
Step-by-step explanation:
To find the y- intercept, let x = 0 in the equation and solve for y
y = 0 + 8 = 8 ⇒ (0, 8 ) ← y- intercept
To find the x- intercept, let y = 0 in the equation and solve for x
x + 8 = 0 ( subtract 8 from both sides )
x = - 8 ⇒ (- 8, 0 ) ← x- intercept
X-intercept is (-8,0) and y-intercept is (0,8). the correct option is A.
What is y-intercept of a function?
The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
We are given that;
Function y=x+8
Now,
The equation of the graph is y = x + 8. To find the x-intercept, we set y = 0 and solve for x.
0 = x + 8
x = -8
Therefore, the x-intercept is (-8, 0).
To find the y-intercept, we set x = 0 and solve for y.
y = 0 + 8
y = 8
Therefore, X-intercept will be (-8,0) and y-intercept will be (0,8).
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jada's bedroom is rectangular. it has a perimeter of 52 feet. the length of her room is 14 feet. what is the width
Answer:
12 feet
Step-by-step explanation:
Perimeter=all 4 sides added up
So perimeter=14+14+w+w, if w is width
52=28+2w
24=2w
w=12
What is the answer? If 45 x 36 +62=72%
What is the following product?
(√14-√3)(√12+√7)
Answer:
12.28
Step-by-step explanation:
[tex]\sqrt{14}-\sqrt{3} )(\sqrt{12}+\sqrt{7})[/tex]
Multiplying [tex]\sqrt{14} and\sqrt{3}[/tex] individually to the values inside the brackets to find the product of the equation.
[tex]\sqrt{14}\sqrt{12}+\sqrt{14}\sqrt{7}-\sqrt{3}\sqrt{12} -\sqrt{3} \sqrt{7}[/tex]
[tex]\sqrt{168} +\sqrt{98} -\sqrt{36}- \sqrt{21}\\2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}\\ 12.96 +9.90 -6 -4.58\\12.28[/tex]
The product of the above values is 12.28
Answer:
2√42 + 7√2 - √21 - 6
Step-by-step explanation:
(√14-√3)(√12+√7)
First let us expand the expression by doing the following:
√14(√12+√7) -√3(√12+√7)
√168 + √98 - √36 - √21
√(4x42) + √(49x2) - 6 - √21
2√42 + 7√2 - √21 - 6
What is a division expression for Two bottles of juice are divided equally among six people.
2 bottles divided by 6 people = 2/6 which equals 1/3.
A police cruiser is traveling at 20.0 m/s when the officer spies a speeder. The cruiser accelerates at 3.0 m/s^2 for 5.0 seconds, at which time the speeder pulls over and starts thinking up excuses to try and get out of a ticket. The cruiser then slows to a stop at 5.0 m/s^2. How far does it go in the entire time?
The police cruiser travels a total distance of 275.0 meters. It covers 137.5 meters during acceleration and the same distance during deceleration (in the opposite direction), summing up to 275.0 meters in total.
Calculating the distance covered during acceleration:
The equation for distance covered with constant acceleration is given by:
[tex]\[ s = ut + \frac{1}{2}at^2 \][/tex]
Where:
[tex]\( u \)[/tex] = Initial velocity
[tex]\( a \)[/tex] = Acceleration
[tex]\( t \)[/tex] = Time
Given:
Initial velocity [tex](\( u \))[/tex] = 20.0 m/s
Acceleration[tex](\( a \))[/tex] = 3.0 m/s²
Time[tex](\( t \))[/tex]= 5.0 seconds
Let's find the distance covered during acceleration using the above formula:
[tex]\[ s = ut + \frac{1}{2}at^2 \][/tex]
[tex]\[ s = (20.0 \, \text{m/s} \times 5.0 \, \text{s}) + \frac{1}{2} \times 3.0 \, \text{m/s}^2 \times (5.0 \, \text{s})^2 \][/tex]
[tex]\[ s = (100.0 \, \text{m}) + \frac{1}{2} \times 3.0 \, \text{m/s}^2 \times 25.0 \, \text{s}^2 \][/tex]
[tex]\[ s = 100.0 \, \text{m} + 37.5 \, \text{m} \][/tex]
[tex]\[ s = 137.5 \, \text{m} \][/tex]
Therefore, the distance covered during acceleration is 137.5 meters.
Calculating the distance covered during deceleration (slowing to a stop):
The cruiser starts at a speed of 20.0 m/s and decelerates uniformly until it comes to a stop. The distance covered during deceleration will be the same as the distance covered during acceleration but in the opposite direction.
So, the distance covered during deceleration = 137.5 meters (in the opposite direction).
Total distance traveled:
The total distance traveled by the cruiser during acceleration and then deceleration is the sum of these distances (taking the magnitudes):
Total distance = Distance during acceleration + Distance during deceleration
Total distance = 137.5 m + 137.5 m
Total distance = 275.0 meters
Therefore, the entire distance covered by the cruiser in the entire time is 275.0 meters.
The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they traveled another 1/4 of the total distance. What fraction of the total distance do they have left after the second day? What percent?
After the second day of their road trip, the Murphy family has
9/20 or 45% of the total distance left to travel.
To solve this problem, let's denote the total distance of the trip as $D$.
On the first day, the Murphy family travelled 30% of the total distance, which can be written as:
[tex]\[ 0.30 \times D = \frac{30}{100} \times D = \frac{3}{10} \times D \][/tex]
On the second day, they travelled another 1/4 of the total distance, which is: [tex]\[ \frac{1}{4} \times D \][/tex]
The total distance travelled after two days is the sum of the distances travelled on the first and second days: [tex]\[ \frac{3}{10} \times D + \frac{1}{4} \times D \][/tex]
To add these fractions, we find a common denominator, which is 20:
[tex]\ total \ distance \ travelled =6/20D+5/20D[/tex]
[tex]\ total \ distance \ travelled =11/20D[/tex]
The remaining distance after the second day is:
Distance left=D−Total distance travelled
[tex]Distance \ left=D-11/20D[/tex]
[tex]Distance \ left=20/20 D-11/20D[/tex]
[tex]Distance \ left=9/20D[/tex]
Express the fraction and percentage of the distance left:
Fraction of the total distance left:
Fraction= Distance left/D
[tex]Fraction=9/20D/D=9/20[/tex]
After the second day, the Murphy family has 9/20 of the total distance left.
Percentage of the total distance left:
Percentage= Distance left/D×100%
[tex]Percentage= 9/20D/D*100%[/tex]
[tex]Percentage=9/20*100%[/tex]
[tex]Percentage=45[/tex]
Therefore, after the second day of their road trip, the Murphy family has
9/20 or 45% of the total distance left to travel.
The chipmunks dropped an acorn from the top of a tree. The acorn was 0.25 kg and had a velocity of 4 m/s when it hit the ground. How much kinetic energy did it have?
Step-by-step explanation:
Given, the chipmunks dropped an acron from the top of a tree. The acron was 0.25 kg and had a velocity of 4 m/s when it hit ground.
Kinetic energy =[tex]\frac{1}{2} m v^2[/tex]
Here m = 0.25 kg and v =4 m/s
Kinetic energy of the acron had =[tex]\frac{1}{2}\times 0.25 \times 4^2[/tex] J
= 2 J
The kinetic energy of the Chipmunk is 2 Joules.
Kinetic energy is the energy than an object possesses due to its motion. It is given by:
Kinetic Energy(KE) = (1/2)mv²
Where m is mass, v is velocity.
Given that m = 0.25 kg, v = 4 m/s, hence:
KE = (1/2)mv²
KE = (1/2) * 0.25 * 4² = 2J
The kinetic energy of the Chipmunk is 2 Joules.
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What is the measure of ∠x?
Answer:
139
Step-by-step explanation:
Substract 41 from 180 assuming line LN is a straight line. the angles are supplementary
Find each product.
(2x+4)(2x-4)
The answer to your question is 4x^2 - 16
Hope this helped
Answer:
Step-by-step explanation: (2x + 4) x (2x - 4)
2x + 4 = 6x
2x - 4 = 4 - 2x = 2x
6x X 2x = 12x
What is(-1,-4), (1,4)
Answer: If it is on a coordinate plane, (-1,-4) would be in quadrant 3. (1,4) would be in quadrant one.
Step-by-step explanation:
quadrant 1 is both positive numbers (both the x and the y axis).
quadrant 2 is when the x axis is negative and the y axis is positive.
quadrant 3 is when both the x and y axis is negative
quadrant 4 is when the x axis is positive and the y axis is negative.
Jose has $45 to spend at the mall. He buys a toy for $18.63, two candy bars at $0.47 EACH, and a shirt for $12.64 (All prices include taxes). How much money will he have left after he pays for his purchases? HELP ASAP
Answer:
$12.79
Step-by-step explanation:
$45 - $18.63 = $26.37
$26.37 - ($.47 x 2) = $26.37 - $.94 = $25.43
$25.43 - $12.64 = $12.79
Find the value of this expression if x = 8.
x2 + 8/
X – 5
Enter the correct answer.
I assume you mean (x^2+8)/(x-5)?
If so, we have:
(8^2+8)/(8-5)
(64+8)/3
72/3
24
So the value is 24 when x=8
Hope this helped!
Please help 10 points
Step-by-step explanation:
We know that
[tex]tan\theta =\frac{altitude}{base}[/tex]
Using this for the triangles
For the small triangle
[tex]tan \theta =\frac{6\frac{1}{2} }{9}[/tex]
[tex]\Leftrightarrow tan \theta =\frac{\frac{13}{2} }{9}[/tex]
[tex]\Leftrightarrow tan \theta =\frac{13} {18}[/tex]
Again for the bigger triangle
[tex]tan \theta =\frac{h}{31\frac{1}{2} }[/tex]
[tex]\Leftrightarrow tan \theta =\frac{h}{\frac{63}{2} }[/tex]
[tex]\Leftrightarrow tan \theta =\frac{2h}{63}[/tex]
Therefore
[tex]\frac{2h}{63} =\frac{13}{18}[/tex]
[tex]\Leftrightarrow h=\frac{13 \times 63}{18 \times 2}[/tex]
[tex]\Leftrightarrow h=\frac{819}{36}[/tex]
[tex]\Leftrightarrow h = 22.75[/tex] ft
Therefore h = 22.75 ft
find the difference 49,002 -5,398
43,604
Subtract 5398 from 49002
Answer:
Step-by-step explanation:
49,002 is greater than -5,398
Y-4=-1/2(x+7)
Graph the line
Answer:
Step-by-step explanation:
5x+17+9x+23=180 solve for x
Answer:
x=10
Step-by-step explanation:
First combine like terms:
14x + 40 = 180
Second subtract 40 from both sides:
14x = 140
Third divide both sides by 14:
x = 10
Complete this statement 0.743 mL = ?L
A 743
B 74.3
C 0.000743
D 0.0743
Answer:
C. 0.000743 LStep-by-step explanation:
[tex]1\ L=1,000\ mL\Rightarrow1\ mL=\dfrac{1}{1,000}\ L=0.001\ L\\\\0.743\ mL=0.743\cdot0.001\ L=0.000743\ L[/tex]
What is the approximate circumference of this circle? (Use π = 3.14) circle with radius 19 centimeters
A.) 29.83 cm
B.) 119.32 cm
C.) 59.66 cm
D.) 6.05 cm
Answer:
B. 119.32
Step-by-step explanation:
Use C = πd as the formula, which is 3.14x38=119.32
Answer:
B) [tex]119.32[/tex] [tex]cm[/tex]
Step-by-step explanation:
Circumference of a circle is the total length of its boundaries that it makes to complete 360°
Circumference of a circle = [tex]2\pi r[/tex]
Given:
[tex]r=19 cm\\\pi =3.14[/tex]
Putting the given values in the formula of circumference of the circle
= [tex]2*3.14*19[/tex]
= [tex]119.32[/tex] [tex]cm[/tex]
On putting the value of radius and [tex]\pi[/tex] in the formula the circumference of the circle is ≈[tex]119.32[/tex] [tex]cm[/tex]
Can someone answer this question please answer it correctly and show work please
Answer:
First Problem: $50.15
Second Problem: $20,468
Step-by-step explanation:
First Problem: If the original price is $41.00 and the discount is $6.15
41.00 - 6.15 = $34.85 is the discounted price
34.85 / 41.00 = 0.85 -> this shows the amount that you pay from the original price
So if the other product costs $59.00 you just do 59.00 * 0.85 = $50.15
This shows that %85 of the original cost is what you pay.
Second Problem: So, the first amount sold is 160 tickets and the price for each ticket is $59.50.
160 * $59.50 = $9,520 for the afternoon batch
If they sold %15 more in the evening that means that they sold 160 tickets plus another %15 of the 160.
160 * 1.15 = 184 tickets sold in the evening
184 * $59.50 = $10,948 for the evening batch
So they sold a total of $9,520 + $10,948 = $20,468
Answer:
44) $50.15
45) $20,468
Step-by-step explanation:
44) $ off sweater = 6.15
41.00 - 6.15 = 34.85
6.15 ÷ 41.00 = 0.15 = 15% discount
$59.00 - 15%
$50.15
45)
Afternoon = 160 tickets
Evening = 15% more = 160 + 15% = 184 tickets
160 + 184 = 344 tickets total
344 * $59.50 = $20,468
Hope this helps :)
Which best describes the complement of spinning any number less than 3?
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
spinning a 4
spinning a 3 or 4
spinning a 1 or 2
spinning a 1, 2, or 3
Answer:
b) Complement of spinning any number less than 3 is Spinning 3 or 4.
Step-by-step explanation:
COMPLIMENT of any Set A is the set of all the elements which are in the sample space but NOT IN SET A.
Here, Event E = Spinning a spinner with 4 parts and getting a number less than 3.
Here, Sample Space = {1,2,3,4}
Also, as outcomes is LESS THAN 3, ⇒ E = {1 ,2}
Now, Compliment E = Sample Space - { Elements in set E}
= {1,2,3,4} - {1 ,2}
or, E' = { 3,4}
Hence, complement of spinning any number less than 3 is Spinning 3 or 4.
Answer:
Spinning a 3 or 4
Step-by-step explanation:
The numbers that are less than 3 on the spinner, are 1 and 2. Therefore, the complement or opposite of that are all the numbers other than 1 and 2. So the answer is 3 and 4.