Answer:
Your fixed monthly charge is $13.25 and the charge per check is $0.15.
Step-by-step explanation:
The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:
x+23y=16.70
Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:
x+18y=15.95
You can use these equations to find the value of x and y:
x+23y=16.70 (1)
x+18y=15.95 (2)
where x is the fixed monthly fee and y is the charge for each check
First, you can solve fo x in (1)
x=16.70-23y (3)
Then, you can (3) in (2):
16.70-23y+18y=15.95
16.70-5y=15.95
16.70-15.95=5y
0.75=5y
y=0.75/5
y=0.15
Finally, you can replace the value of y in (3) to find x:
x=16.70-23(0.15)
x=16.70-3.45
x=13.25
According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less
Answer:
The task times is [tex]x =90.77 \ s[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 110 \ sec[/tex]
The standard deviation is [tex]\sigma = 15 \ sec[/tex]
Generally the task times that qualify individuals for such training is mathematically represented as
[tex]P(X < x) = 0.10[/tex]
=> [tex]P(X < x) = P( \frac{X - \mu}{\sigma } < \frac{x - 110}{15} ) = 0.10[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of X )[/tex]
=> [tex]P(X < x) = P( Z < \frac{x - 110}{15} ) = 0.10[/tex]
Generally the z -score of 0.10 from the z-table is
[tex]z -score = -1.282[/tex]
So
[tex]\frac{x - 110}{15} = -1.282[/tex]
=> [tex]x =90.77 \ s[/tex]
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answer: C = $20 + $1.50(m)
Step-by-step explanation:
Let the initial fee be represented as y.
Based on the question, the rental initial fee will be calculated as:
y + $1.50(4) = $26
y + $6 = $26
y = $26 - $6
Initial fee = $20
If Robert were to drive m miles, the cost will be:
C = $20 + $1.50(m)
Maritza found a bike at the mall for $85.00. The sales
tax is 6%. After taxes, how much will she have to pay for
the bike?
1/8 divided by 2 3/4
Answer:
2 and 1/8
Step-by-step explanation:
Reduce fractions where possible.
Then your initial equation becomes 1/8 divied by 1/17.Applying the fractions formula for division, 1 17 over 8 and 1 then multiply those. Then simplfy.
[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex] we get by converting the mixed fraction to improper and divide them both.
The given expression is [tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex].
Convert the mixed number [tex]2\frac{3}{4}[/tex] to an improper fraction.
[tex]2\frac{3}{4} = \frac{2 \times 4 + 3}{4}[/tex]
[tex]= \frac{11}{4}[/tex]
Now, we can rewrite the expression as:
[tex]\frac{1}{8} \div \frac{11}{4}[/tex]
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{1}{8} \times \frac{4}{11}[/tex]
Next, let's simplify the multiplication:
[tex]\frac{1 \times 4}{8 \times 11} = \frac{4}{88}[/tex]
We can further simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4:
[tex]\frac{4}{88} = \frac{1}{22}[/tex]
Therefore,[tex]\frac{1}{8}[/tex] divided by [tex]2\frac{3}{4}[/tex] is equal to [tex]\frac{1}{22}[/tex].
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PLZ HELP DUE IN 20 MINS
The figure shows three quadrilaterals on a coordinate grid:
Which of the following statements is true about the three quadrilaterals? (4 points)
a
D and E are similar but not congruent.
b
E and F are similar and congruent.
c
D and E are similar and congruent.
d
F and D are similar but not congruent.
Answer:
B.
Step-by-step explanation:
It was just angled in a different way
find the value of x - PLEASE HELP
I need to show my work -
Thank you!!
Answer:
360=297+(x-36)+25
360=297+25-36+x
360=286+x
360-286=x
74=x
Answer:
x = 74 degree
Step-by-step explanation:
All those angles must add up to 360 degrees:
360 degrees = (297 + x - 36 + 25) deg, or
360 = 297 - 36 + 25 + x, or
x = 74 degrees
-(x-7) + (5/3) = 2(x+9) wht does x equal
Answer:
-28/3=x
Step-by-step explanation:
-(x-7) + (5/3) = 2(x+9)
-x+7+5/3=2x+18
7+5/3=2x+18-x
7+5/3=x+18
5/3=x+18-7
5/3=x+11
5/3-11=x
Ahora todo se pasa a base 3
[tex]\frac{5-33}{3}[/tex]=x
-28/3=x
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP
Answer:
D
Step-by-step explanation:
gimme a really hard riddle if you dont do a good one i will prolly delete your question no actually gimme two riddles this is for a lot of points lol
Answer:
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
also
You measure my life in hours and I serve you by expiring. I’m quick when I’m thin and slow when I’m fat. The wind is my enemy.
Step-by-step explanation:
riddle
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
What disappears as soon as you say its name?
answer scroll down
an echo
silence
704% into a fraction
Answer:
7 4/100
Step-by-step explanation:
[tex] \green {\boxed{Answer}}[/tex]
[tex] = 704\%[/tex]
[tex] = \frac{704}{100} [/tex]
[tex] = \frac{704 \div 4}{100 \div 4} [/tex]
[tex] = \frac{176}{25} [/tex]
[tex] = 7 \frac{1}{25} [/tex]
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PLEASE HELP IF YOU GET RIGHT I GIVE BRAINLIEST
Answer:
i think 36
Step-by-step explanation:
brainliest?
Answer: 36
Step-by-step explanation:
45-27=18
18+18=36
what is 300 × = 120,000
there is nothing between the × and = cuz its asking me 300× what = 120,000.
The answer is 400
First, you must flip the equation.
[tex]120000[/tex] ÷ [tex]300[/tex] = ?
Then, you must simplify the equation.
[tex]1200[/tex] ÷ [tex]3[/tex] = ?
Finally, divide the two terms.
[tex]1200[/tex] ÷ [tex]3[/tex] = 400
Help I need help on this question
Answer:
1/3 is the y intercept
Step-by-step explanation:
f(x) = -2/9x + 1/3
This is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-2/9 is the slope and 1/3 is the y intercept
How can you graphically tell if a quadratic equation will have a complex solution?
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
Olivia and her family are planning a vacation that involves water skiing. Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 an hour to rent the boat.
Complete the table to determine the total cost for 1, 2, 3, and 4 hours.
Answer:
Step-by-step explanation:
Let the number of hours used to rent the boat be represented by h.
Since Water Sports and More charges $20.50 for the ski rental (one-time fee) and $12.25 for every hour used, the expression to calculate the cost for hours used will be:
= $20.50 + $12.25h
where h = number of hours used.
The cost for 1 hour will be:
= $20.50 + $12.25h
= $20.50 + $12.25(1)
= $20.50 + $12.25
= $32.75
The cost for 2 hours will be:
= $20.50 + $12.25(2)
= $20.50 + $24.50
= $45
The cost for 3 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(3)
= $20.50 + $36.75
= $57.25
The cost for 4 hours will be:
= $20.50 + $12.25h
= $20.50 + $12.25(4)
= $20.50 + $49
= $69.50
=
The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 8¢ per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 2¢ per minute, but you must pay a 42¢ "connection fee" per call. (a) Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and X is the number of minutes the phone call lasts. Write a system of equations, Newtown Telephone Company y=0
please help quickly
Answer:
Kindly check explanation
Step-by-step explanation:
Given the information above :
A) Cost equation for Newton Telephone company :
y = 8x
Where x = number of minutes used
y = total cost for x minutes
Cost equation for Tryus telephone company :
y = connection fee + (fee per minute * number of minutes)
y = 42 + (2x)
Where x = number of minutes used
y = total cost for x minutes
Amount is in cent
HELP please ASAP Hw for math class
Can someone please help me I will really appreciate it .
Step-by-step explanation:
Hey there!
Here;
The given points are; (6,5) and (9,p).
Slope (m)= -4
Use slope formula;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex] - 4 = \frac{p - 5}{9 - 6} [/tex]
Simplify it to get answer.
[tex] - 4 = \frac{p - 5}{3} [/tex]
[tex] - 12 + 5 = p[/tex]
Therefore, p= -7.
Hope it helps...
please help. Free the denominator of the fractionfrom irrationality:
[tex] \frac{2}{5 \sqrt{3} } [/tex]
[tex] \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} [/tex]
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{2}{5\sqrt{3} }[/tex]
To rationalise the denominator, multiply the numerator/ denominator by [tex]\sqrt{3}[/tex]
= [tex]\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }[/tex]
= [tex]\frac{2\sqrt{3} }{15}[/tex]
-----------------------------------------------------------------------
Given
[tex]\frac{\sqrt{5}+2 }{\sqrt{5}-2 }[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of [tex]\sqrt{5}[/tex] - 2 is [tex]\sqrt{5}[/tex] + 2 , then
= [tex]\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }[/tex] ← expand numerator/denominator using FOIL
= [tex]\frac{5+4\sqrt{5}+4 }{5-4}[/tex]
= [tex]\frac{9+4\sqrt{5} }{1}[/tex]
= 9 + 4[tex]\sqrt{5}[/tex]
Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?
$49.73
because you would multiply the length and width of the fence then multiply by the price.
3.4 x 6.5 = 22.1
22.1 x 2.25 = 49.725
but you would round because you are dealing with money
A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m
Answer:
m=45
Step-by-step explanation:
I hour travels 45 minutes
Answer:
m=45h
Step-by-step explanation:
your welcome
What is the simplified expression for
44 • 43 45
Answer:
D
Step-by-step explanation:
the simplified version is 16 I'm not sure tho.
Pls halp,due today thank uu
17+7j=87
What does j equal???????
Answer:
j=10
Step-by-step explanation:
17+7j=87
7j=70
j=10
Anthony received $150 for his birthday this year. This was $10 less than
half the amount he received last year. How much money did Anthony
receive for his birthday last year? write the equation and answer
Answer:
$140
Step-by-step explanation:
150-10=140
$140
HOPEFULLY IM RIGHT!!
Have A Nice Day!!!!
:)))
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
Whoever gets correct answer gets marked brainliest!! Please answer asap!
Use the graphs of f and r to describe the transformation from the graph of f to the graph of r
f(x)=2/3x+1
r(x)=3f(x)
Answer: vertical stretch by 3
Step-by-step explanation:
when g(x) = a*f(x), the graph of g(x) is vertically stretched by a
The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day
Answer:
The answer is C. $0.50 per day .
Hope this helps
Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.
The unit rate is the cost per one unit of a given quantity.
In this case, it's the cost of an overdue book per day.
In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.
Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.
The formula for calculating the slope (m) between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
Let us take two points from graph: (4, 2) and (6, 3)
Unit rate = 3-2/6-4
=1/2
=0.5
Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.
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