Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.
What is a linear equation?An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.
General form: ax + b = c; where the power of the variable x is 1.
Calculation:It is given that,
Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.
Consider,
P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.
So, the linear equation that relates x and P is,
P = Cx + B ...(i)
On substituting the values from the given table we get,
122.5 = C(4500) + B ...(ii)
160 = C(7000) + B ...(iii)
175 = C(8000) + B ...(iv)
By solving equations (iii) and (iv), we get
C = 15/1000 = 0.015
B = 55
Finding x value when P = $130:
We have P = Cx + B. Then for P = 130,
130 = Cx + B
We know C = 0.015 and B = 55
On substituting these values,
130 = (0.015) x + 55
⇒ 0.015x = 130 - 55 = 75
∴ x = 75/0.015 = 5000
Therefore, the required computers are 5000 dollars worth.
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Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.
Table:
x: 4500, 7000, 8000
P: 122.5, 160, 175
respectively.
Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.
Answer:
y=1/5x+4
Step-by-step explanation:
one boy has 63k and another 59k .if they share it equally,how much does each of them get
Answer:
61k
Step-by-step explanation:
63+59=122
122/2=61
Answer:
61000
Step-by-step explanation:
First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.
which orded pair is a solution of the equation 2x+4y=6x-y
Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution ( , ) to the given set of equations?
Answer:
compare both the equation we get,
X-6 = -9x+14
or, 10X =20
or, X= 2
Y=X-6
or, Y= 2-6
or, Y= -4
hence the solution is (2,-4)
Round off to the nearest
3,142
solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation:
Need help getting a equation that you distribute that will equal x=6
Answer:
x+6=10-4+6
x=6+6-6
x=6
Please help me there is a picture right there
Answer:
90 mm^2
Step-by-step explanation:
split into two rectangles.
First rectangle: 5 x 6 = 30 mm^2
Second rectangle: 10 x 6 = 60 mm^2
30 + 60 = 90 mm^2
Answer:
90 [tex]mm^{2}[/tex]
Step-by-step explanation:
Hi!
What we have over here is a composite figure.
Basically, it's made up of different shapes
We can either make a rectangle by making a horizontal line from the point in between 6 mm and 5 mm
Or we can make a rectangle by going verticle from the point in between 6 mm and 5 mm
Either way, we have two rectangles now, and we can use our formula [tex]l*w[/tex] to find the area.
For the first example, we would do:
[tex]6*5[/tex] [tex]=30[/tex]
[tex]6*10=60[/tex]
Then we add the two areas of the two rectangles:
[tex]60+30=90[/tex] [tex]mm^{2}[/tex]
For the second example, we would do:
[tex]5*6=30[/tex]
[tex]5*12=60[/tex]
[tex]60+30=90[/tex] [tex]mm^{2}[/tex]
Just cut the figure into shapes you can calculate the area of and you should be good to go!
Let me know if you have any questions
Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 picture Click here for the Excel Data File The mean speed of the automobiles traveling on this road is the closest to ____.
Answer:
The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]
Required
Calculate the mean
First, calculate the midpoint (x)
For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]
For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]
For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]
For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]
So, we have:
[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]
[tex]\bar x = \frac{43250}{675}[/tex]
[tex]\bar x = 64.07[/tex]
[tex]\bar x = 64[/tex] --- approximated
20 + 30 + 90 + 2 + 278 + 7 + 2891 + 29 = Whats the answer?
Answer:
3347 is the answer. Hope that helps
Answer:
3347
Step-by-step explanation:
20+30=50
50+90=140
140+2=142
142+278=420
420+7=427
427+2891=3318
3318+29=3347
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
What is 36divided by 6.
Answer:
6
Step-by-step explanation:
It is six because 6x6=36
Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:
A)
–1∕24
B)
3∕8
C)
–2∕3
D)
6
Answer:
C) -2/3
Step-by-step explanation:
1/4p = 4/6 - 5/6
1/4p = -1/6
6p = -4
p = -4/6 or -2/3
how do u answer 1/2x + 3/8 = 1/6
Answer:
-5/12
Step-by-step explanation:
you need to simplify both sides of the equasion, then isolate the variable
The buyer of a car pays Php 169,000 cash and Php 12, 000 every month for 5 years. If money is 10% compounded monthly, how much is the cash price of the car?
Answer:
Step-by-step explanation:
which is a prime number? a 16 b 17 c 18 d 20
Answer:
17
Step-by-step explanation:
bc nothing can go into it besides 1 and itself.
K(2, 7), L(6, 12), M(13, 13), N(9,8) (Slope Formula)
prove whether the quadrilateral is a parallelogram
Answer:
Yes, it's a parallelogram
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
Find the volume of a cuboid of dimensions 4 cm x 2 cm x 3 cm
Answer:
24 cm^3
Step-by-step explanation:
4x2x3=24
Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.
Answer:
6 dimes & 10 quarters
Step-by-step explanation:
Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.
d + q = 16
0.1d + 0.25q = 3.1
Solve the first equation for d and plug into the second equation.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Answer: 6 dimes & 10 quarters
Benjamin has 6 dimes and 10 quarters.
What is linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Given that two equations,
d + q = 16
0.1d + 0.25q = 3.1
Where q represents the number of quarters in his wallet, and d represents the number of dimes.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Hence Benjamin has 6 dimes and 10 quarters.
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pls plz plz i need the answers help me
Answer:
24 units squared
Step-by-step explanation:
Answer:
24 square units
Step-by-step explanation:
Hope that helps and good luck on your Quizizz!
what must be added to each term of the ratio 3:5, so that it becomes 4:5
Answer:
5 must be added to both the terms to get the ratio 4:5.
Step-by-step explanation:
(3+x)/(5+x)=4/5
Therefore,
15+5x=20+4x
=5x-4x=20-15
=x=5
I hope it's helpful!
Answer:
3+y/5+y=4/5
let y be the no.to be added
5(3+y)=4(5+y)
15+5y=20+4y
-5= -y
y=5
Does anyone kno dis answer for me
Answer:
answer below:)
Step-by-step explanation:
since s2= 6.2, then:
cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]
What is the value of the expression 8x + 9 when x=7?
HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10
Answer:
A, C, and D
Step-by-step explanation:
Answer: A - C - D
Step-by-step explanation:
A= 21
B= 19
C= 21
D= 21
E= 20
plz help i have 4 ins
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
someone please help me on this
There are many ways to prove this, this is just how I do it. Hope it helps.
Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?
Answer:56
Step-by-step explanation:
72% of 200= 144
200-143=56
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 9 x= -42
Step-by-step explanation:
Which equation shows this volume formula solved for h?
Answer:
Step-by-step explanation: the answer is B i think
Answer:
A
Step-by-step explanation:
[tex]V = \frac{nd^2h}{6}[/tex]
multiply both sides by 6
[tex]6V = nd^2h[/tex]
divide both sides by [tex]nd^2[/tex]
[tex]\frac{6V}{nd^2} = h[/tex]
So the answer is A.