Let, price of fudge and gum is x and y respectively.
Converting given statements into mathematical equation.
We get :
5x + 3y = 5.70 ....1)
2x + 10y = 3.60 ....2)
Solving equation 1 and 2, we get :
x = $1.05 .
y = $0.15 .
Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :
P = 20( 1.05 ) + 20( 0.15 )
P = $24
Hence, this is the required solution.
Which of the following statements contain a variable?
A. The time it takes to wash the dishes plus 30 minutes.
B. The age of my friend.
C. The number of kittens in a litter.
D. There are 24 hours in a day.
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents.
Answer:
10
Step-by-step explanation:
For movie mania:
Sign-up fee = $ 20
Rent for 1 DVD = $ 4.00
For Hurricane video:
Sign-up fee = 0
Rent of 1 DVD = $ 6.
Let [tex]n[/tex] be the number of DVDs to rent in order for both stores to charge the same.
For movie mania, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=20+4n
For Hurricane movie, charge to rent [tex]n[/tex] DVDs = Sign-up fee + rent of [tex]n[/tex] DVDs
=0+6n=6n
Now, for both stores to charge the same, both the charges must be equal, we have
6n=20+4n
[tex]\Rightarrow 6n-4n=20[/tex]
[tex]\Righatarroe 2n=20[/tex]
[tex]\Rightarrow n =20/2=10[/tex]
Hence, the required number of DVDs to rent is 10 in order for both stores to charge the same.
In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.
Answer:volts =60v
Step-by-step explanation:
STEP 1
The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as
V∝ C
introducing the proportion of constant , we have
V=KC
Step 2
When current =12 amps, and volts = 480, we have
V=kC
480=K X 12
Constant of proportionality ,K= V/C=480/12= 40
Therefore, when current = 1.5 amp, volts=?
V= KC
V= 40 X 1.5
V= 60 volts
What is the solution to 0.2 (4x - 8) = 0.4(12-2x)
Answer:
x = 4
Step-by-step explanation:
Let's multiply both sides by 5 to get rid of the leading fractions.
5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)
(4x-8) = 2 (12-2x)
4x - 8 = 24 - 4x
8x = 32
x = 4
x = 4
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
Answer:
A.16–i is correct.
Step-by-step explanation:
(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]
(4²–i²)=16–i
I hope this answer is correct so please vote my answer
Help pleaseeeee it’s on algebraic proofs
Answer:
Given
Addition
simplify
answer
Step-by-step explanation:
Answer:
1. Given
2.Addition
3. simplify
4. answer
Step-by-step explanation:
HELP QUICK!! Sales tax is 6% in Virginia for most items. How much would you have to pay at the
register for an item with a price tag of $12.99?
Answer:
$13.77
Step-by-step explanation:
12.99 x 0.06
0.7794
0.7794+12.99
13.7694
$13.77
7/8 divided by (-13/7)
PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)
A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8
Answer:
A
Step-by-step explanation:
y=x+1
=> put y=5
5=x+1
x=5-1
x= 4
(4,5)
same put y=9
so, x= 8
(8,9)
pls help answer question in picture
Step-by-step explanation:
2 1/3
=2*3+1/3
=7/3
4. What is the slope of the line y = 3? (1 point)
Answer: Undefined or 0
Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined
How can you use linear relationships to compare real-world
situations?
Answer:
Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit.
Step-by-step explanation:
A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)
=================================================
Work Shown:
A = volume of the cylinder
A = pi*(radius)^2*(height)
A = pi*r^2*h
-----------
The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4
B = volume of the cone
B = (1/3)*(volume of cylinder with radius r/4 and height h)
B = (1/3)pi*(r/4)^2*h
B = (1/3)*pi*(r^2)/(4^2)*h
B = (1/3)*pi*(r^2)/16*h
B = (1/3)*(1/16)*pi*r^2*h
B = (1/48)pi*r^2*h
B = (1/48)*A
B = (1/48)*(volume of cylinder)
-----------
C = volume of the empty space/air inside cylinder, but outside cone
C = A-B
C = A - (1/48)*A
C = (48/48)A - (1/48)A
C = (48A)/48 - (A/48)
C = (48A-A)/48
C = 47A/48
C = (47/48)*A
C = (47/48)*pi*r^2*h
What 98 x 8 divided by 2 and what is this game called
Answer:
392 and Overwatch I think
Step-by-step explanation:
Answer:
392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.
Step-by-step explanation:
£78 is split equally between 5 people how many will each person get
Answer:
15,6....................
Answer:
£15.6
Step-by-step explanation:
78/5=15.6
PLEASE HELP ME ASAP!!!!!!!!
Answer:
-3(-1)=
Step-by-step explanation:
What is the slope line through (0,4) and (3,2)?
Answer:
The answer is -2/Trust
Step-by-step explanation:
Answer:
Its D 100%
Step-by-step explanation:
Help meee pleaseeeeeee :(
Answer:
I am pretty sure its D
Step-by-step explanation:
If u want to be sure tho search up the dilation scale factor on Google:)
Sara’s checking account is overdrawn with a balance of -$3.00. She deposits some money into her account so the new balance is $4.50.
Answer:
She put in $7.50
Step-by-step explanation:
Will mark brainiest for the first one with the correct answer.
Answer:
for pulling out a killer kiwi it would be 5/15 and 9/15 for crazy coconut
GEOMETRY/EASY PROBABILITY, urgent!
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
Mark me as brainliest
I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute
A car uses 5 gallons of gasoline to travel 97.5 miles. At this rate, how many miles can the car travel using 13 gallons of gasoline?
Answer:
253.5 miles
Step-by-step explanation:
This problem can be solved by using the concept of "ratios" and "proportions."
Step 1: Check for the "known" and "unknown" variables.
The known variables are: 5 gallons, 97.5 miles and 13 gallons while the unknown variable is the "number of miles" the car can travel using 13 gallons.
Step 2: It's time to plug the values into the proportion.
[tex]\frac{5 gallons}{97.5 miles}[/tex] = [tex]\frac{13 gallons}{x miles}[/tex]
Step 3: Solve the proportion.
[tex]\frac{5}{97.5}[/tex] = [tex]\frac{13}{x}[/tex] ⇒ 5x = 1,267.5 ⇒ x = 253.5 miles
Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g
Answer: k 2 + 3 g − 6
hope this helps
What is the opposite of negative 21 or -21 ?
Answer:
21
Step-by-step explanation:
because on a table, -21 and 21 are lined up together.
solve for y on both i will give brainlizest thankssss & HURRY
2y+7x=4
6x=7-4y
Answer:
1- Y=-7/2x+2.
2. Y=-6/4+7
Step-by-step explanation:
Subtract 7x from both sides
Divide both sides by two
Add 4y to both sides
Subtract 6x from both sides
Divide by 4 on both sides
Need help with the equations thank you
Step-by-step explanation:
#1
Equation 1 = 2-6 over 1-3
#2
Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive
I don’t understand please help me
Answer:
Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.
yo, i need some help :/
What is the domain of the function represented by the table?
A). all real numbers
B). x greater-than-or-equal-to 0
C). all integers greater than or equal to zero
D). {5, 10, 15, 20, 25}
Para la venta de las misiones, la señora Susy preparó chilibeans , para lo cual compró 4 1/2 kg de frijol. Como no tenía una olla suficientemente grande, tuvo que prepararla en tres recipientes: dos de ellos eran del mismo tamaño, pero el tercero tenía la mitad de capacidad que los otros. ¿Cuánto frijol puso en cada recipiente si lo dividió de manera proporcional al tamaño de los recipientes?
Answer:
En cada recipiente grande coloco 1.8 kilos de frijoles y en el recipiente pequeño coloco 0.9 kilos.
Step-by-step explanation:
dividio los frijoles en 3 recipientes
volumen total de los 4 recipientes = 2x + 2x + x = 5x
esto se debe a que los 2 mas grandes tenian el mismo tamaño (2x), mientras que el pequeño tenia solo la mitad (x)
4.5 kilos de frijoles / 5 x
x = 0.9 kilos de frijoles
recipiente grande = 2 · 0.9 = 1.8 kilos