Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:
The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.
Solution of the system of equations by the Substitution Method.
Taking into account the information given in the exercise, we can write the next equations:
P = F + 0.502D = 3F - 0.502P + F + 3D = 7.75Where:
P = The price of a box of popcorn.D = The price of a drink.F = The price of a piece of fruit.Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.
In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:
2D = 3F - 0.50D = (3F - 0.50) / 2D = 1.5F - 0.25We proceed to substitute the first and second equations in the third equation:
2P + F + 3D = 7.752 (F + 0.50) + F + 3 (1.5F - 0.25) = 7.75And we solve for the variable F:
2F + 1 + F + 4.5F - 0.75 = 7.757.5F + 0.25 = 7.757.5F = 7.75 - 0.257.5F = 7.5F = 7.5 / 7.5F = 1Now, we can solve for the variable D with the second equation:
2D = 3F - 0.502D = 3 * (1) - 0.502D = 3 - 0.502D = 2.5D = 2.5 / 2D = 1.25Finally, we can solve for the variable P with the first equation:
P = F + 0.50P = 1 + 0.50P = 1.50So, we have the price of each item:
Popcorn = 1.50Drink = 1.25Fruit = 1If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults
what is the probability of reaching into the bag and picking a red marble and then drawing again (without replacing the marble you picked the first time) and picking a red marble. Please help. i have acellus btw
Answer:
To solve you would need the exact number of all colored marbles
simplify (a+1/a)^2-(a-1/a)^2
what is a example of the reflexive property.
Answer: 3 is equal to 3
Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.
write each expression as a single power of 10
Answer:
10⁸
Step-by-step explanation:
[tex]( \frac{10 ^{5} }{ {10}^{3} } ) ^{4} \\ (10 ^{5 - 3} ) ^{4} \\ (10 ^{2} )^{4} \\ (10 ^{2 \times 4} ) \\ (10^{8} )[/tex]
I hope it helped U
stay safe stay happy
because the expression is raised to a power, you're going to multiply the power inside the expression with the power outside the expression. Thus:
[tex] \frac{10 ^{20} }{10^{12} } [/tex]
Since the powers are being divided, you can just subtract 20 by 12. Then you would get:
[tex]10^{8} [/tex]
If f(x) = 24 +5, then what is the remainder when f(x) is divided by 2 + 2?
Answer:
The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"
To which number sets would ✓16 belong? Check
all that apply.
(Select all that apply.)
Natural
Whole
Integers
Rational
Irrational
Answer:
16 is rational , interger , Whole.
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
you are totally correct
0.6m=____mm . answer the question
Answer:
600
Step-by-step explanation:
since 1m=1000mm
The pie chart represents the results of an online poll question, Should cell phones be banned in schools?. A total of 1840 girls were asked the question, with 379 answering yes and 1461 girls answering no. The larger section of the pie is labeled as no, representing the count of 1461 girls who answered as no and the smaller section is labeled as yes, representing the count of 379 girls who answered as yes. What percent of girls who voted in this poll think that cell phones should be banned from schools? Give your answer as a whole number.
-5r - 3r = ?
Can someone explain how to do solve this?
Answer:
-8r
Step-by-step explanation:
-5r - 3r
Combine like terms
Factor out r
r( -5-3)
-8r
Answer:
like bases combine under add/subtract
-5 minus 3 is -8
-8r would be the solution
Step-by-step explanation:
Which point represents the opposite of -2?
A B C D
5 3 2 0 1 2 3 4 5
ОА
ОВ
ОС
OD
Answer:
your answer is point D represent
What is the sum of all the positive integers from √24 to √102
Answer:
[tex] \sqrt{24} = 4.9[/tex]
[tex] \sqrt{102} = 10.1[/tex]
positive integers = x
4.9 < x < 10.1
x = 5, 6, 7, 8, 9, 10
sum = 5 + 6 + 7 + 8 + 9 + 10
= 45
Which names are other ways to name _1? Select each correct answer.
y
pfy
pyf
p
yfp
ypf
f
Answer:
your answer is F
I hope it's helps you
Please explain. I think it’s two step equations
Answer: I don’t see anything
Step-by-step explanation:
what is the common denominator of 4/5 and 9/4
hope this helps some
HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards
Answer:
99
Step-by-step explanation:
9x5 + 7X6 + 3X4 + 2X6
Help me find the value
Answer:
soln
Step-by-step explanation:
a=7
b=-2
5a-3b
5×7-3×-2
35+6(because - and - becomes+
41ans
Answer:
5a-3b
5×7-3×-2
35-6
29
I think soo
Write the equation of the line passing through point (-6,0) and perpendicular to y=3/2 x
Answer:
option c
Step-by-step explanation:
explaination is in pic below
5. You want to have a pizza party this weekend for some friends and family. You have $48
budgeted for the pizza and plan on having 56 pieces available. A large pizza has 16 pieces and
costs $14. A medium pizza has 12 pieces and costs $10. How many large and medium pizzas do
you need to buy?
find the value of x and y
Answer:
x=11
y=3
Step-by-step explanation:
(9x+25)=(13x-19)
9x+25 = 13x−19
9x+25-25 = 13x−19-25
9x=13x-44
9x-13x=13x-44-13x
-4x= -44
x=11
y= 180-(9x+25)
y= 180-(99+25)
y= 180-124 = 56
y= 56-5 = 51
y= 51/17
y= 3
Good luck
Please help me I will mark brainliest :)
Answer:
X should equal 12.
Step-by-step explanation:
I say this because we know TED= 30° bc 50°-20° = 30
then u have to think about what × 2 + 6 equals 30
sure enough 12 × 2 = 24 and 24 + 6 = 30
that's why I say X equals 12
Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case
Answer:
18245
Step-by-step explanation:
We have to use L.C.M,
L.C.M(20,24,32,38)
2|20,24,32,38
2| 10 ,12 ,16 ,19
2| 5 , 6 , 8 , 19
2| 5 , 3 , 4 , 19
2| 5 , 3 , 2 , 19
L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19
= 18240
Now for each case remainder is 5,
So the number is 18240+5
=> 18245
Which of the following equations has the same solution as: |3x + 2| = 4x + 5
Answer:
Step-by-step explanation:
Estimate the shaded areas of the following shapes.???
Answer:
436cm^2
Step-by-step explanation:
you're gonna have to round up to the nearest whole number.for no.2 split the shape so that it'll give u two rectangles.for no.3 find the area of the small rectangle and minus from the area of the big rectangle
Big rectangle =30*16=480
small rectangle =4*11=44
480-44=436
if you rolled a die what is the probability that you would roll a 4 or 5
Answer:
1/3
a dice has 6 sides and the probability of getting 4 or 5 is just 2/6 which simplifies to 1/3
what is 3 feet + 14 inches
Answer:
3.14
Step-by-step explanation:
Solve 6x + ( 14x - 5 ) + ( 17 - 3x ) , - ( 2 - x ) -3 ( 6 + 8x ) -12, ( 4x - 9 ) + 8 ( 2x + 3 ) -7x
Answer:
Step-by-step explanation:
6x + ( 14x - 5 ) + ( 17 - 3x )
= 17x + 12
- ( 2 - x ) -3 ( 6 + 8x ) -12,
= -23x - 32
( 4x - 9 ) + 8 ( 2x + 3 ) -7x
= 13x +15
ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?
Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years
P= 80000
R = 10% '
1st-year amount = 88000
10% compounded annually
If you pay the loan of 55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts
= \frac{55000}{110} \times 100 = 50000
So after the first year, a certain amount is paid, and the remaining amount is will be 50000.
So a certain amount to be paid in 1 year = 88000 -50000 = 38000
A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.
A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022
Learn more about loans here
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What is the solution of the equation?
8-3t=t
-1/4
-4
2
1/2
Answer:
t = 2
Step-by-step explanation:
8-3t=t
add 3t to both sides
8=4t
then divide both sides by 4 leaving you with
t=2
please help me with this and explain your answer
Answer:
B
Step-by-step explanation:
t=4x+c
Since we are looking for x,
t-c=4x
Divide through by the coefficient of x which is 4
4x/4=t-c/4
Therefore, x=t-c/4
