Rodrigo and Melissa went to the art supply store to buy drawing materials. Rodrigo bought 10
pencils and 7 felt-tip markers for a total of $19.00. Melissa bought 3 pencils and 5 felt-tip markers
for a total of $10.05. Which of the following systems of equations could be used to determine
the cost of one pencil, P, and one felt-tip marker, m?
Answer:
10P + 7m = 19 .......... 1
3P + 5m = 10.05 .......... 2
Step-by-step explanation:
Let the cost of pencil be represented by P, and felt-tip by m. So that;
Rodrigo bought 10 pencils and 7 felt-tip at the cost of $19.0.
⇒ 10P + 7m = 19 .......... 1
Melissa bought 3 pencils and 5 felt-tip at the cost of $10.05.
⇒ 3P + 5m = 10.05 .......... 2
From equations 1 and 2,
10P + 7m = 19 .......... 1
3P + 5m = 10.05 .......... 2
Multiply equation 1 by 3, and 2 by 10 to have;
30P + 21m = 57 ......... 3
30P + 50m = 100.5 ....... 4
Subtract equation 3 from 4,
30P - 30P + 50m - 21m = 100.5 - 57
29m =43.5
m = [tex]\frac{43.5}{29}[/tex]
= 1.5
m = 1.5
Substitute the value of m in equation 2,
3P + 5m = 10.05 .......... 2
3P + 5(1.5) = 10.05
3P = 7.5 = 10.05
3P = 3
P = 1.0
Thus, the cost of a pencil is $1.0 and that of a felt-tip is $1.5.
PLEASE WILL GIVE THE BRAINIEST ANSWER!
Answer:
The fast food restaurant has the higher unit price
Simplify 3a + 4b + 5c + (-2a) + b
A) 5a + 4b + 5c
B) 11abc
C) a + 5b + 5c
D) a + 4b + 5c
Answer:
a + 5b + 5c
Step-by-step explanation:
here's your solution
=> 3a + 4b + 5c +(-2a) + b
=> solve for like term
=> 3a - 2a + 4b + b + 5c
=> a + 5b + 5c
hope it helps
Find the value of x.
SO
3x + 7
3xt7H60t60=180
3x+ 147=180
- 147
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A savings account pays interest at a rate of R% per year.
Jack invests £5500 in the account for one year.
At the end of the year, Jack pays tax on the interest at a rate of 40%.
After paying tax, he gets £79.20.
Work out the value of R
Answer:
.
Step-by-step explanation:
Answer:
2.4%
Step-by-step explanation:
79.20/0.6=132
132/5500*100=24%
The spinner is divided into a equal sections which two events have the same probability
Answer:
its A
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Hai hai please help thank you
Answer:
one would be (14,6)
(16,0)
Write a sentence/scenario that uses the integer -12 to represent a
quantity in the real world. Explain the meaning of zero in the setting of the
scenario,
The temperature outside is -12 degrees Fahrenheit.
Zero is where the temperature changes from a negative value to a positive value.
Jane takes a survey of 100 random students to determine what color of eyes they have.
What's the question
Step-by-step explanation:
A rectangular prism has length of 2 units, a width of 1 1/2 units, and a hight of 3 1/2 units. What is the volume of the prism?
Answer:
v = 10.5
Step-by-step explanation:
v = l× w× h
v = 2 × 1 1/2 × 3 1/2
good luck, i hope this helps :)
Answer:
10 1/2
Step-by-step explanation:
V = lwh
l = 2
w = 1 1/2 or 1.5
h = 3 1/2 or 3.5
2 x 1.5 x 3.5
10.5 or 10 1/2
find the unit rate 30 in per 5 years the unit rate is inches per year
Answer:
6 inches per year/ 6;1
Step-by-step explanation:
30;5 can be simplified into a unit rate by dividing by 5. 30/5=6 and 5/5=1. So its 6 inches per one year
What does s equal when r = 16?
S = 3r + 1
A
S = 18
B
s = 20
С
S = 48
D
S = 49
Answer:
S=49
Step-by-step explanation:
you got the correct answer.
The explanation is:
replace r with 16
3 times 16 is 48
48 plus 1 is 49
So S=49
Amelia runs a catering business. Based on her records, her weekly profit can be modeled by P=-2x^2+152x-150P=−2x 2 +152x−150, where xx is the number of meals she caters and PP is her profit.
Answer:
The least number of meals Amelia needs to cater in order to begin making profit = 38 meals.
Step-by-step explanation:
Given - Amelia runs a catering business. Based on her records, her weekly
profit can be modeled by P= -2x² + 152x - 150, where x is the
number of meals she caters and P is her profit. When P is negative,
Amelia losses money.
To find - What is the least number of meals Amelia needs to cater in order
to begin making profit.
Proof -
As given, P = -2x² + 152x - 150
Now,
Above the break-even point, she only get profit
The break -even point is a point where there is no profit, and no loss.
Now,
For break-even point,
[tex]\frac{dP}{dx} = 0[/tex]
⇒[tex]\frac{d}{dx}( -2x^{2} + 152x - 150) = 0[/tex]
⇒-4x + 152 = 0
⇒- 4x = - 152
⇒4x = 152
⇒x = [tex]\frac{152}{4}[/tex] = 38
∴ we get
If Amelia caters at least 38 meals , then she makes Profit.
Shawn has a set of 125 marbles. He is organizing his marbles into 5 equal groups. How many marbles should he put in each group?
Answer:
He should put 25 marbles in each group because 125/5 is equal to 25.
Somebody help me plss
Answer:
6)B 7)C 8)B 9)D 10)c
Step-by-step explanation:
i think i did them all correct
find the median of the given data. 12,40,65,19,7,44,30,44,37
Answer:
Step-by-step explanation: just
Need help will give you the brainliest
Answer:
147?
Step-by-step explanation:
JK ran 12 3/4 around a track each lap around the track is 1/8 how many laps around the track did JK run
Answer:
50
Step-by-step explanation:
What is arc XW and how do I find it?
Links= Reported
sneha obtains 240 marks out of 600 vijay obtains 490 marks out of 700 whose performance is better
Answer:
Vijay performance is better
Step-by-step explanation:
Answer:
hope help you stay happy
Solve for X for the angle
Answer:
60 +70+8x+2 = 180 by aum of the angles of triangle is 180 degree
Answer:
gago isipin mo, wag puro brainly hahaha
what is the length of 5cm
Answer:
1.9685
Step-by-step explanation:
If you are thinking in inches and if you need to simplify its pretty easy.
Amelia can spend no more than $89 to rent a car for a day trip. A rental car costs $35 per day plus $0.20 per mile. Write and solve an inequality to find the possible distance in miles m that Amelia can drive without exceeding her budget.
Answer:
35 + 0.20m ≤ 89
m = 270
Step-by-step explanation:
35 + 0.20m ≤ 89
- 35 -35
0.20m ≤ 54
÷.20 ÷.20
m = 270
What’s the answer ????
Answer:
A-1
Step-by-step explanation:
It perfectly represents the scenario.
Answer:
A - 2
Step-by-step explanation:
younger = -
A - 2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
look at pic......................................
Answer:
I'm not sure tbh, sorry .
How can i solve -7(-8+10-5)
Answer:
11
Step-by-step explanation:
PEMDAS
Answer: 56-70+35 hope this helps
Step-by-step explanation: -7x-8 (neg x neg = positive), -7x10, -7x-5
If you are using algebra tiles to factor a trinomial of the form ax2 + bx + c, when would you need to bring in zero pairs? Why?
write 10-15 sntences why you chose the answer you chose
it's for 50 pts
50 points is a lot man
In the equation you wrote in part A, which is the independent value and which is the dependent value? this is edmentum in expressions and equations
Answer:
i dont know but i think 12 points
Step-by-step explanation:
sorry ive been stressed outwhats -10/2 as a decimal
Answer:
Just -5.0
Step-by-step explanation:
10 divided by 2 is 5, since it's negative the answer is negative
Answer: -5
Step-by-step explanation: