Aiden should purchase a 4-gallon jug ($6.56) to get at least 15 liters of cleaning solution and spend the least amount of money.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
Aiden needs 15 liters of cleaning solution.
He can buy a 2-gallon jug ($4.28) a 3-gallon jug ($5.92) a 4-gallon jug ($6.56) a 7-gallon jug ($12.98).
As we know,
1 gallon = 4.54 liters
2 gallon = 9.09 liters
3 gallon = 13.63 liters
4 gallon = 18.18 liters
7 gallon = 31.82 liters
Thus, Aiden should purchase a 4-gallon jug ($6.56) to get at least 15 liters of cleaning solution and spend the least amount of money.
Learn more about the unit conversion here:
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Pythagorean Theorem
Is this a right triangle?
a = 15 b = √207 c = 12√3
*Please Explain!!*
The sum of four consecutive integers is -22
One positive number is 5 times another number . The difference between the two numbers is 80, Find the numbers.
The two numbers in increasing order are ________ and ______
Rewrite the following equation in slope-intercept form. 5x − 14y = 16 Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation 5x − 14y = 16, when rewritten in slope-intercept form, is[tex]y = (5/14)x - 8/7.[/tex]
Explanation:To rewrite the given equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we'll isolate y. Starting with the equation 5x − 14y = 16:
1. Subtract 5x from both sides to move the x term to the other side:
-14y = -5x + 16
2. Divide every term by -14 to solve for y:
y = (5/14)x - 8/7
In this form, the coefficient of x represents the slope (m), which is 5/14, and the constant term is the y-intercept (b), which is -8/7. The slope indicates the rate of change of y concerning x, and the y-intercept represents the point where the line intersects the y-axis.
By following these steps, we've successfully transformed the given equation into slope-intercept form, making it easier to interpret and work within the context of linear relationships.
To convert the equation 5x - 14y = 16 to slope-intercept form, solve for y to yield y = (5/14)x - 8/7, where the slope is 5/14 and the y-intercept is -8/7.
Explanation:To rewrite the equation 5x − 14y = 16 in slope-intercept form, we need to solve for y to get the equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
First, we subtract 5x from both sides of the equation:5x − 14y − 5x = 16 − 5xThis simplifies to −14y = −5x + 16.Next, we divide each term by −14 to solve for y:y = (−5x + 16) / −14Finally, we simplify the equation:y = (5/14)x − 16/14In simplified form, the slope-intercept form of the equation is y = (5/14)x − 8/7. Here, the slope (m) is 5/14 and the y-intercept (b) is −8/7.
What is the correct answer for number 9
A dot ran from -34 to -66. What distance did it cover? If this run took the dot 5 minutes, what was the average speed?
The dot's average speed was 384 units per hour
To find the distance the dot covered, we can subtract the initial position from the final position:
Distance = Final position - Initial position
[tex]\[ \text{Distance} = (-66) - (-34) \]\[ \text{Distance} = -66 + 34 \]\[ \text{Distance} = -32 \][/tex]
However, distance is a scalar quantity, so the negative sign indicates the direction. To find the magnitude of the distance, we take the absolute value:
[tex]\[ |\text{Distance}| = |-32| \][/tex]
[tex]\[ |\text{Distance}| = 32 \text{ units} \][/tex]
So, the dot covered a distance of 32 units.
To find the average speed, we use the formula:
[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]
Given that the run took the dot 5 minutes, we need to convert the time to hours for the speed to be in units of distance per hour:
[tex]\[ \text{Time} = 5 \text{ minutes} = \frac{5}{60} \text{ hours} = \frac{1}{12} \text{ hours} \][/tex]
Now, plug the distance and time into the formula:
[tex]\[ \text{Average speed} = \frac{32 \text{ units}}{\frac{1}{12} \text{ hours}} \]\[ \text{Average speed} = 32 \times 12 \]\[ \text{Average speed} = 384 \text{ units/hour} \][/tex]
So, the dot's average speed was 384 units per hour.
What number is a common denominator for 3/8and1/3
Simplify a - {b - [c- (d - e) - f] - g]
Answer is a - b + c - d + e - f + g
Answer:
After Simplifying we get a - b + c - d + e - f + g
Step-by-step explanation:
We are given : a - { b - [ c - ( d - e ) - f ] - g }
We have to simplify it.
Step 1: First open the parenthesis mean ( ) brackets
we get , a - { b - [ c - d + e - f ] - g }
Step 2: Now we open Square brackets .i.e., [ ]
we get, a - { b - c + d - e + f - g }
Step 3: In last we open curly brackets .i.e, { }
we get, a - b + c - d + e - f + g
Therefore, After Simplifying we get a - b + c - d + e - f + g
If it takes one hour to fill a pool with 50 ft^3 of water, how many hours will it take to fill a pool that measures 10 ft by 8 ft with a depth of 5 ft?
Answer:
8 hours
Step-by-step explanation:
10 x 8 x 5 = 400. 400 / 50 = 8. So it will take 8 hours to fill a pool with 400ft3
PLEASE HELPP
What is the solution of the system of equations?
{13x−6y=23x−4y=−10
Enter your answer in the boxes..
Answer:
the solution is the point [tex](2,4)[/tex]
Step-by-step explanation:
we have
[tex]13x-6y=2[/tex] ------> equation A
[tex]3x-4y=-10[/tex] ------> equation B
we know that
The solution of the system of equations is the intersection point both graphs
Using a graphing tool
The intersection point is the point [tex](2,4)[/tex]
see the attached figure
therefore
the solution is the point [tex](2,4)[/tex]
the answer is (2,4) the expert is right i put it and got it right
In Veronica’s art class 5 out of 9 people speak Spanish. What decimal number shows what part of the class speaks Spanish?
Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 5 cm.
(a) 1 cm on the first map represents 3.5 km on the actual trail. What is the scale factor from the map to the actual trail? What is the length of the actual trail according to the first map?
(b) A landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 6 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map?
please show your work.
The area of a rectangle or a 48 square inches the length is 8 inches what is the measure of its width
How many ways are there to choose a card from a deck of cards (52 cards in a deck) and roll a regular 6-sided number cube? 58 52 156 312
which sets of side lengths could form a triangle? Choose all that apply A. 3 centimeters,4 centimeters,9 centimeters B. 3 centimeters, 6 centimeters,9 centimeters C. 4 centimeters, 5 centimeters, 9 centimeters D. 4 centimeters, 6 centimeters, 9 centimeters E. 5 Centimeters, 5 centimeters, 9 centimeters
To solve this question we will have to make use of the triangle inequality which states that "the sum of the lengths of any two sides of a triangle must be greater than the length of the third side".
Let us now use this inequality to check Part A to Part E.
Part A: [tex] 3+4\ngtr9 [/tex] therefore, triangle is not possible
Part B: [tex] 3+6\ngtr9 [/tex] therefore, triangle is not possible
Part C: [tex] 4+5\ngtr9 [/tex] therefore, triangle is not possible
Part D: [tex] 4+6>9, 4+9>6, 6+9>4 [/tex] As all the three sides adhere to the triangle inequality, a triangle is possible with these dimensions.
Part E: [tex] 5+5>9, 5+9>5, 9+5>5 [/tex] As all the three sides adhere to the triangle inequality, a triangle is possible with these dimensions.
Thus, only Options D and E apply
Please help. +10 Cant figure this one out.
Pedro scored 17 out of 20 on a quiz. What was his score as a percent?
Answer:
he's right tried to answer first
Step-by-step explanation:ut 85%
line XY is perpendicular to line CD at D. Which conclusion can be drawn?
PLEASE HELP I AM FAILING AND I NEED AYUDA ASAP
Solve for x.
6/59=3/x
[tex]\dfrac{6}{59}=\dfrac{3}{x}\qquad\text{cross multiply}\\\\(6)(x)=(3)(59)\\\\6x=177\qquad\text{divide both sides by 6}\\\\\boxed{x=29.5}[/tex]
Selena is buying an audio system for her car. She can choose among 3 types of stereos, 4 kinds of speakers, and 2 kinds of amplifiers. Which describes how Selena can show her options?
Answer:
Step-by-step explanation:
d
Fill in the blanks to solve the Pollution Problem.
• What do you want to know?
When the pollution level in the lake will reach 50 tons
• What do you know?
The exponential growth function that models the
problem is P(t) = 3 • e^0.0866t, where P(t) = the number
of tons of ________ in the lake t ________ after 1970.
Ms.Gartland bought x number of shirts for the new members of her chorus.The cost for x number of shirts,including $3.99 shipping,was $ 77.49.Each shirt cost $12.25.There was no sales tax on this purchase.Which equation could be used to find x?
A 3.99(x+12.25)=77.49
B 3.99x+12.25=77.49
C 12.25(x+3.99)=77.49
D12.25x+3.99=77.49
She bought 'x' number of shirts.
The price of one shirt = 12.25 dollars.
Then total price of all shirts would be '12.25x' dollars.
Given is the shipping charge = 3.99 dollars.
Given is the total bill = 77.49 dollars.
It says no other tax would be charged on this order, so total bill would be sum of total price of all shirts and shipping charges.
Total Bill = Total price of all shirts + Shipping charges.
77.49 = 12.25x + 3.99
Hence, option D is correct i.e. 12.25x + 3.99 = 77.49
c. Which volume-to-surface-area ratio would be better for an ice cube¡X the lowest possible or the highest possible?
7.8 + n = 38.2 plez i need help
4. At a baseball game, the ratio of Barons fans to Blue Sox fans is 8 : 3. If you know that at least 22,000 people are attending the game, at least how many Blue Sox fans are there?
Answer:
Step-by-step explanation:
2*37=6000
Find the surface area of the sphere to the nearest square unit. Use a calculator.
the inside is 2in
A.13 in.2
B.50 in.2
C.6 in.2
D.3 in.2
what values of a, b, c would you use in the quadratic formula for the following equation? 5x^2+9x=0
the expressions are too hard to do so pls tell me the answer
What is the distance between the points (9, 32) and (9, 17) in the coordinate plane?
There can be at most 125 customers in a certain resturant. Write an inequality that represents the number of customers in the resturant.
Answer:
125 ≤ c
Step-by-step explanation: