The amount Juan & Jaquan each had in sales in July is approximately $725 and the equation for Juan's Earning is 525 + 1.75x and the equation for Jaquan's Earning 609 + 1.015x.
Unitary method:
Unitary method is defined as the process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given,
Juan and Jaquan work for separate companies.
Juan earns $15 for each sale plus 5% commission.
Jaquan earns $21 for each sale plus 3.5% commission.
In July, Juan made 35 sales and Jaquan made 29 sales.
They made the same total salary.
Here we need to find the amount Juan & Jaquan each had in sales in July.
Let x be the total number of sales in July.
So, based on the given details we can written it as,
Juan earns,
=> 15 + 5%x
=> 15 + 0.05x
And Jaquan earns,
=> 21 + 3.5%x
=> 21 + 0.035x
So, in July, Juan made 35 sales and Jaquan made 29 sales,
Then
=> 35(15 + 0.05x)
=> 525 + 1.75x -----------(Juan's Earning)
=> 29(21 + 0.035x)
=> 609 + 1.015x -----------(Jaquan's Earning)
And also in July, they made the same total salary.
So,
Juan's Earning = Jaquan's Earning
Then,
=> 525 + 1.75x = 609 + 1.015x
=> 1.75x - 1.0.15x = 609 - 525
=> 0.735x = 84
=> x = 84 / 0.735
=> x = 114.28
So, the total amount they earned in July is,
=> 525 + 1.75(114.28) = 609 + 1.015(114.28)
=> 525 + 199.99 = 609 + 115.99
=> 724.99 = 724.99
So, they earned approximately $725 in July.
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Write 0.8
as a fraction.
thank youuu
Answer:
8/9
Step-by-step explanation:
The other answer is wrong because the problem is asking for the fraction form of 0.8 repeating, not just 0.8.
find the range i really need this
The range of the graph is (-9,-4) also written as -9≤y≤-4
The y-axis on a graph represents the possible output values, or range. The graph's entire range, from lower to higher numbers, represents the range. All of a function's x-values, or inputs, make up the domain. if both the end not closed point range Chart differs
Different range charts. Column range—Columns are used in the Column Range chart to illustrate the range.
Bar range—Bars are used in the Bar Range chart to illustrate the range.
smooth range-Curved lines rather than straight ones connect the data points in a smooth range chart.
From the graph it is shown as it has closed points on both ends so both the values -9 and -4 are inclusive in the range y axis
So it is written as (-9,-4) and also be written as -9≤y≤-4
Hence the range of the graph is -9≤y≤-4.
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In exercises 23 and 24, find the indicated angle measures. (See photo)
Step-by-step explanation:
Just do the calculations at last by using the value of x
A train covers 828 km in 9 hours what distance will it cover in 6 hours
Answer:
In 9 hr it covers a distance of 828 km
In 1 hr it will cover a distance of 828 Divided 9 km = 92
In 6 hr it will cover a distance of 92 × 6 km = 552 km
All Done!
Answer:
552 Km
Step-by-step explanation:
find the speed in Km per hour then multiply by 6
828 Km ÷ 9 hours = 92 Km per hour
then distance covered in 6 hours is
distance = 6 × 92 = 552 Km
The numbers of students in the four
sixth-grade classes at Northside School are 26,
19, 34, and 21. Use properties to find the total
number of students in the four classes.
The total number of students in the four classes is 100 students.
How to compute the value?From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.
Therefore, the total number of students will be:
= 26 + 19 + 34 + 21
= 100
Therefore there are 100 students.
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When someone says they ran a 5k, what type of measurement are they using? is that a far distance?
Answer:
1 kilometer is equal to 1000 meters
Step-by-step explanation:
2.
Robert heard that there 94 different apartments in the part of New York City he is considering moving to
rental price is $1,800 with a standard deviation of $100. He is assuming his data is normally distributed
to know how many apartments he will have to look at if his goal rental price is $1,700. Use the standard
table to help Robert narrow down his search to How Many Apartments are priced under $1,700
A plane is flying at a speed of 150 miles per hour. The pilot plans to fly at this speed for
the next 160 miles, plus or minus 25 miles. Write an absolute value equation to find the
minimum and maximum number of hours the plane will travel at that speed.
Maximum time = 0.914 hour , Minimum time = 1.28 hour
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.
Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X time equals distance, and
Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.
Distance = speed x time
Maximum speed = 150 +25
= 175 miles/ hour
Minimum speed = 150 - 25
= 125
Distance = 160 miles
Maximum time = 160/175
= 0.914 hour
Minimum time = 160/125
= 1.28 hour
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Write and solve an equation for the situation.
4. The sum of 7 and u is 14. (1 point)
7+u = 14; u = 7
14+7=u: u = 21
7+u = 14: u = 8
7+14=u: u = 21
Answer:
=> 7+u = 14; u = 7
Step-by-step explanation:
The sum of 7 and u is 14
=> u + 7 = 14
=> u = 14-7
=> u = 7
highest number impossible to make using 5,7
Answer:
Step-by-step explanation:
You want to put a 5 inch thick layer of topsoil for a new 20 ft by 12 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:64
Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong
I don’t understand can someone help
Answer:
I plugged in your equation into Desmos and here are 5 points
Step-by-step explanation:
(-6,7)
(-5,6)
(-4,5)
(-3,6)
(-2,7)
a runner wants to run 11.7 kmkm . her running pace is 8.1 mi/hrmi/hr . how many minutes must she run?
The runner should run for roughly around 54 minutes.
What do we mean by conversion factors?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.To find how many minutes must the runner run:
1 mile = 1.6 kmSo, 8.1 miles = 1.6 kmMinutes required are:
11.7 × 60 / 8.1 × 1.6 = 54.16Therefore, the runner should run for roughly around 54 minutes.
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a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i
The light must be at a height of 7.07m from the floor for the maximum illumination at P.
How Distance is that?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.Let I be the illumination at P then according to given conditions,
I = k cosθ/r²
Where k is constant of proportionality: since
r² = h² + 10²
cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]
then
I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]
on differentiating
[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]
[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]
[tex]\frac{dI}{dh} = 0[/tex]
gives
that is
h = √50 = 7.07
now
[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]
for h = 7.07
[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]
then by second derivative test,I has a maximum ath=7.07
Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.
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6y [tex]\geq[/tex] 30
Answer:
y ≥ 5
Step-by-step explanation:
[tex]\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5[/tex]
Hope this helps.
Quadrilateral WXYZ with vertices W(0,-4), X(13,0), Y(9,-12), and Z(5,-12); scale factor: k = 3/4, center of dilation: (1,0)
Dilation involves changing the size of a quadrilateral or any shape
The coordinates of the image of the dilation are: [tex]W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$[/tex] and [tex]$Z^{\prime}=(4,-9)$[/tex]
This is further explained below
How to determine the vertices of the image?The vertices of the pre-image are given as:
W=(0,-4)
X=(13,0)
Y=(9,-12)
Z=(5,-12)
The scale factor is given as:
k=3 / 4
The center of dilation is given as:
(a, b)=(1,0)
To calculate the vertices of the image, we make use of the following formula [tex]$\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$[/tex]
So, we have:
W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)
W'=(1 / 4,-3)
X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)
X'=(10,0)
Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)
Y'=(7,-9)
Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)
Z'=(4,-9)
Hence, the coordinates of the image of the dilation are:
W'=(1 / 4,-3),
X'=(10,0),
Y'=(7,-9)
Z'=(4,-9)
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help me pleaseeeeeeeeee.
Answer:
y = x + 3
Step-by-step explanation:
The difference between 1 and 4 is 3
The difference between 2 and 5 is 3
The difference between 3 and 6 is 3
The difference between 4 and 7 is 3
So our answer will either be x= y-3 or y=x+3
Since y=x+3 is the only option that matches the table it must be the answer
Hope this helped and have a good day
How is the quotient of 714 and 17 determined using
an area
model?
Enter your answers
in the boxes to complete the equations.
714 ÷ 17 = ( - 17 ) + ( ÷ 17)
714 ÷ 17 =
714 ÷ 17 =
Answer:
42 is your answer
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry
Florencia depositó algún dinero en una cuenta en la que ganaba interés.
La tabla a continuación nos muestra la cantidad en la cuenta en distintos momentos.
AYUDAAAA PORFA
Usando una función lineal, tenemos que:
Con cada año adicional, la cantidad en la cuenta es incrementada en 60.
¿Qué es una función lineal?Una función lineal es modelada por:
y = mx + b
En el cual:
m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:
Con cada año adicional, la cantidad en la cuenta es incrementada en 60.
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Please help with correct answers-
the function is defined by the following rule
g(x)= -5x-3
complete the function table for g(x)
(check out picture below)
Answer:
-3=-18
-1=-8
0=-3
1=2
4=17
Step-by-step explanation:
if g(x)=5x-3 s substitute all x figures and calculate
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
We know that, an exponential distribution is a type of continuous distributions.
This probability distribution times the occurrence of events.
In exponential probability distribution, events happen continuously and independently at a constant average rate.
The continuous random variable, say X is said to have an exponential distribution, if it has the following probability density function:
[tex]f_X(x)=\left \{ {{\lambda e^{-\lambda x~~~x > 0}} \atop {0~~~~~~~x\leq 0}} \right.[/tex]
The exponential distribution is memoryless.
We know that, for exponential the lower limit is 0, but the upper limit is infinity, meaning there is no upper limit.
Therefore, There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
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Ian wants to promote his band on the internet. site a offers website hosting for $5 per month with a $50 start-up fee. site b offers website hosting for $15 per month with no start-up fee. for how many months will site b be less expensive than site a?
For 5 months site b be less expensive than site a.
From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.
Let's take the n to be x.
We have to find how many months will b site be less expensive than site a.
So total expenses for site a = 50 + 5x
and total expenses for site b = 15x
We get an equation
50+5x =15x
10x=50
x=5
Therefore for 5 months site b will be less expensive than site a.
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pls help find interval notation
Step-by-step explanation:
-2x - 7 > 1
-2x > 8
-x > 4
x < -4
that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).
x - 2 >= -1
x >= 1
that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.
3. What is the cardinality number of the set {2, 4, 6, 8, 10, 12}?
a. 2
b. 6
c. 8
d. 10
The cardianality of the set {2, 4, 6, 8, 10, 12} is 6.
According to the given question.
We have a set {2, 4, 6, 8, 10, 12}.
Here, we have to find the cardianality of the set {2, 4, 6, 8, 10, 12}.
As we know that, the cardinality of a set is a measure of the number of elements of the set.
From the given set {2, 4, 6, 8, 10, 12} we can say that the total number of elements in the given set is 6. So, the cardianality of the set is 6.
Hence, the cardianality of the set {2, 4, 6, 8, 10, 12} is 6.
Thus, option b is correct.
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A 40g rock is lowered into 20ml the water rose to 45ml what is the density
PLEASE HELP ME
Answer:
40g/25ml
Step-by-step explanation:
The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.
please help quick im so confused
Answer:
(-5/2,-4)
Step-by-step explanation:
the answer is (x, y) = (-5/2, -4)
X to the power of 2 minus 6 minus 7
Answer:
[tex]x=\sqrt{13}[/tex]
Step-by-step explanation:
[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]
what is the standard deviation for 0,0,0,1,1,1,2,2,3,5?
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
11 and of 1/4 added to 3 and of 1/2
Answer:
11 1/4 + 3 1/2
45/4 + 7/2
(45+14)/4
59/4
14 3/4
If you want to use the sin function in the math library, as x = math.sin(3.14), how should you write the import statement?
We use import math when we want to use the sin function in the math library, x= math. sin(3.14).
Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import ).
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