The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation
Let "m" represent the money required.
Let "n" represent the number of gallons filled.
Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:
[tex] m\propto n [/tex]
We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".
Therefore the above expression will become:
[tex] m=k\times n [/tex]
Now, it is given that m=$16.56 and n=6 gallons
Therefore, [tex] 16.56=k\times 6 [/tex]
Dividing both sides by 16.56 we get:
[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]
Thus, k=2.76 $/gallon is the value of the constant of variation.
What is the simplified version of (1/3) (9x - 9)
what is the slope of the line (2,-2) and (9,3)
What is the volume of the composite figure ?
Can anyone solve this?
351.68 rounded to the nearest hundredth?
Lavonne sold 4 times as many raffle tickets than Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find out how many tickets Kenneth sold.
PLEASE!!!!!! A+
is a simplified version of 5(x+8)-10x =60
The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m
Answer:
Option D, 10m
Step-by-step explanation:
The area of a square garden is 50 m²
We have to find the diagonal of the square garden by Pythagoras theorem.
Since ( diagonal )² = 2(side)²
( diagonal )² = 2 × area
= 2 × 50 = 100 m²
diagonal = √100
= 10 meter
Option D., 10m is the answer.
if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0,what was the rate of change in temperature per hour?
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
BRAINLIEST FOR THE FIRST RIGHT ANSWER
Instructions: Select the correct answer.
Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?
A. {M-D, M-W, M-C, D-W, D-C, W-C}
B. {M-D, M-W, M-C, D-M, D-C, D-W, W-M, W-C, W-D, C-M, C-D, C-W}
C. {M-D, M-W, M-M, D-M, D-C, D-D, W-M, W-W, W-D, C-M, C-D, C-C}
D. {M-D, M-W, M-C, M-M, D-M, D-C, D-W, D-D, W-M, W-C, W-D, W-W, C-M, C-D, C-W, C-C}
Web flixs charges $25 and $2 for each movie family video charges $10 plus $2.50 for each movie find the number of movie rental for both stores charge are the same
The number of movie rentals for which Web Flixs and Family Video charge the same is 30.
Explanation:To find the number of movie rentals for which Web Flixs and Family Video charge the same, we need to set up an equation and solve for the number of movies. Let's denote the number of movie rentals as 'x'.
For Web Flixs, the cost is $25 + $2 per movie, so the total cost can be expressed as 25 + 2x.
For Family Video, the cost is $10 + $2.50 per movie, so the total cost can be expressed as 10 + 2.50x.
To find the number of movie rentals for which the costs are the same, we set up the equation: 25 + 2x = 10 + 2.50x.
By rearranging the equation and solving for 'x', we can find the number of movie rentals:
25 - 10 = 2.50x - 2x
15 = 0.50x
x = 30
Therefore, when the number of movie rentals is 30, the charges at both Web Flixs and Family Video will be the same.
A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?
which one of the following tables is a relation that represents a function?
find the slope of a line that is parallel to the line -0.75 x minus y equal 3 the slope of a parallel line is
Determine o X do triângulo na questão b
triangle LMN is similar to triangle XYZ with altitudes KL and WX. Find KL
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔLMN is similar to triangle ΔXYZ with altitudes KL and WX.
The ratio of the corresponding sides will remain constant. Then the equation is given as,
KL / XW = LN / XZ
KL / 3 = 28 / 12
KL = (28 x 3) / 12
KL = 84 / 12
KL = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
The velocity of an airplane heading east is 400 knots with a wind velocity of 50 knots blowing toward the northeast. Calculate the resultant speed and direction of the plane. Round to the nearest tenth.
Write 6 percent as a decimal
PLEASE HELP
If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.
The probability that a randomly selected senior student is male is 40%.
Given Data:
We have a two-way table representing the number of students by gender and grade level.
The relevant information is that there are 2 male seniors.
Event Definitions:
Let’s define the following events:
A: Student is male.
B: Student is a senior.
Conditional Probability:
We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).
We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]
Calculations:
From the table, we know:
Number of male seniors (A and B): 2
Total number of seniors (B): 5
Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]
Rounded Answer:
Rounding to the nearest whole percent:
([tex]0.4 \times[/tex]100% = 40%)
Summary: The probability that a randomly selected senior student is male is 40%.
A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.
Answer:
128
Step-by-step explanation:
Just did the test ;)
Please help
The profits for a large international bank were $2 934 569 000.
What is the scientific notation form of the profit figure? (Round the base/root to 1 decimal point.)
How do I solve 20% out of 75
How do you get the value of x
Please help me, thanks.
The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?
Please could someone help with this one . Thanks I will brainlist