10 POINTS!!!
Premier Tire sells three categories of tires: good, better, and best. The good tires cost $106, the better tires cost $156, and the best tires cost $190. The good tires sell 3 times as fast as the best tires and the better tires sell 2.5 times as fast as the best tires. If the total amount of tire sales in January was $233,480, how many of each category of tire was sold? (Round your answer to the nearest whole number.)
A circle has radius of 119.3 mm. What is the circumstance of the circle
Explain how you can use a model to find 4X 3/8. Include a drawing and a solution
The hypotenuse of a right triangle measures 10 inches, and the side opposite to ∠θ, one of the non-right angles, is 5 inches long. The measure of ∠θ is
Each blade on a windmill is in the shape of a triangle with a base of 7 ft and height of 4 ft if there are four blades on the windmill, what is the total area of the blades.
Solution :
As per the problem we have
Each blade on a windmill is in the shape of a triangle with a base of 7 ft and height of 4 ft.
There are four blades on the windmill.
we have been asked to find the total area of the blades.
Area of one blade[tex] =\frac{1}{2}*base*height=\frac{1}{2}*7*4 =14 \ ft^2\\ [/tex]
Total are of blades[tex] =4*\text{Area of one blade}\\ [/tex]
Total are of blades[tex] =4*14=56 \ ft^2\\ [/tex]
A combination lock has a code consisting of 3 numbers, each of which can be 0 to 39, with numbers repeated. Jillian says that there are only 120 possible codes. Is Jillian correct? If not, explain her error.
Answer:
Jillian is not correct
Jillian has summed up the possible number of codes for each digit instead of multiplying it
Step-by-step explanation:
The lock has a code that consists of 3 number
It is given that the number in the lock code can be used between [tex]0[/tex] to [tex]39[/tex]
Thus, out of total [tex]40[/tex] set of numbers (i.e [tex]0-39[/tex]), the numbers can be repeated.
This means for all three code numbers the opportunity of choosing a number is same i.e. between [tex]0-39[/tex]
Now, the first digit of the code can be any number between [tex]0-39[/tex]
Like wise the second and third digit of the code can be any number between [tex]0-39[/tex]
Thus. the possible number of codes with repetition allowed are
[tex]40 * 40* 40\\64000[/tex]
Hence, Jillian is not correct
Jillian has summed up the possible number of codes for each digit instead of multiplying it
Answer:
No, Jillian is not correct. According to the fundamental counting principle, the total number of possible codes would be (40)(40)(40) = 64,000. Jillian multiplied by 3 instead of multiplying the number of possibilities for each digit.
Step-by-step explanation:
A bathtub is filling with water at a rate of 60 liters per minute.How many liters of water are in the bathtub after t minutes?
Answer:
[tex]60t\text{ Liters}[/tex]
Step-by-step explanation:
We have been given that a bathtub is filling with water at a rate of 60 liters per minute. We are asked to find the water filled in the bathtub after t minutes.
To find the number of liters of water filled in tub after t minutes we will multiply rate of water filling by time.
[tex]\frac{60\text{ Liters}}{\text{Minute}}\times t\text{ minutes}[/tex]
[tex]60\text{ Liters}\times t[/tex]
[tex]60\times t\text{ Liters}[/tex]
[tex]60t\text{ Liters}[/tex]
Therefore, there were [tex]60t\text{ Liters}[/tex] of water in the bathtub after t minutes.
Leroy's total employee compensation was $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total job benefits?
a.
$53,650
b.
$50,150
c.
$46,650
d.
$47,650
Answer is :
a.
$53,650
100% correct
Answer:
Correct answer is a.$53,650
Step-by-step explanation:
Total job benefits includes both employee compensation and the expenses for traveling and for professional development for the year.
So we need to add those together to fond the total job benefits.
Total job benefits = employee compensation + expenses for traveling and for professional development
Total job benefits = $[tex]50,150+3500[/tex]
=$[tex]53,650[/tex]
Therefore correct answer is a.$53,650
Answer:
a. $53,650
Step-by-step explanation:
in 2012 the population of a city was 6.25 million the exponential growth rate was 3.22% per year
find the exponential growth function estimate the population of the city in 2018
Sal can mop a certain floor in 8 minutes by himself.If Sal and ben can mop the floor together in 6 minutes,how long does it take Ben to mop the floor alone?
Sherri uses her credit card to pay for new transmission that ended up totaling $1,050.25. She can pay off up to $400 a month. The card has an annual rate of 18.5%. How much will she pay in interest?
Sherri will pay approximately $30.69 in interest on her credit card debt of $1,050.25 with an 18.5% annual interest rate, assuming she makes payments of $400 per month and the interest compounds monthly.
To calculate how much interest Sherri will pay on her credit card debt, we need to know how the interest compounds. Typically, credit card interest is compounded daily, but since we do not have the compound frequency, we'll use a simplified approach to estimate the interest assuming the interest is compounded monthly.
The annual interest rate is 18.5%, which translates to a monthly rate of 18.5%/12 = 1.54%. Since Sherri can pay $400 a month, we can calculate the time it will take for her to pay off the principal without considering interest. This gives us $1,050.25 / $400 < 3 months.
Since the debt would be paid off in less than three months, we can estimate the interest for each month and sum it up:
First month interest: $1,050.25 < 0.0154 = $16.17Second month principal: $1,050.25 - $400 + $16.17 = $666.42Second month interest: $666.42 < 0.0154 = $10.26Third month principal: $666.42 - $400 + $10.26 = $276.68Third month interest: $276.68 < 0.0154 = $4.26Adding up these interest payments gives us approximately:
$16.17 + $10.26 + $4.26 = $30.69 in interest.
Please note, this is an estimation that assumes a linear payment model. Actual interest charges could be higher due to daily compounding.
After losing 30 pounds, an individual weigh 110 pound more than one-third his previous weight
One focus of a hyperbola is located at (−1, 7). One vertex of the hyperbola is located at (−1, 5). The center is (−1, −3). What is the equation of the hyperbola?
Answer:
C) (y+3)^2/64-(x+1)^2/36=1
Step-by-step explanation:
Just took the review in edg
To solve this problem, we just need to substitute the values into the equation and solve. the equation of hyperbola and solve. This will give
[tex]\frac{(y+ 3)^2}{64} - \frac{(x+1)^2}{36} =1[/tex]
Equation of a HyperbolaThe standard equation of a hyperbola is given as
[tex]\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1\\[/tex]
The data given are;
focus = (-1, 7)vertex = (-1, 5)center = (-1, -3)Let's substitute the values into the equation of hyperbola and solve. This will give
[tex]\frac{(y+ 3)^2}{64} - \frac{(x+1)^2}{36} =1[/tex]
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John ran the 100-m dash with a time of 9.96 sec. If this pace could be maintained for an entire 26-mi marathon, what would his time be?
By calculating the average speed of a 100-meter dash and then applying it to the marathon distance, it would take approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds to complete a 26-mile marathon at that pace.
Explanation:The student is asking how long it would take for someone to run a 26-mile marathon if they maintained the same speed as a 100-meter dash completed in 9.96 seconds. To calculate this, we first need to find the runner's average speed during the 100-meter dash. The speed (v) is distance (d) divided by time (t), so:
v = d / t = 100 meters / 9.96 seconds = 10.04 meters/second
Next, we convert the marathon distance from miles to meters. There are 1,609.34 meters in a mile, so:
26 miles * 1,609.34 meters/mile = 41,842.84 meters
To find the time (t) to run the marathon, we divide the total distance by the average speed:
t = 41,842.84 meters / 10.04 meters/second = 4,167.49 seconds
Finally, we convert seconds to a more understandable unit of time, hours and minutes:
4,167.49 seconds / 60 seconds/minute = 69.46 minutes
69.46 minutes / 60 minutes/hour ≈ 1.16 hours
So, John would complete the marathon in approximately 1.16 hours, or 1 hour, 9 minutes, and 28 seconds if he could maintain his 100-meter dash pace for the entire marathon.
Is the given sequence arithmetic? If so, identify the common difference. 3.2, 3.5, 3.8, 4.1, . . .
given than segment FE is parallel to segment DG, which of the following statements is no true
Let u = <6, -9>, v = <1, -4>. Find u - v.
A) <5, -5>
B) <10, -10>
C) <15, 5>
D) <7, -13>
Final answer:
To find the difference between vectors u and v, subtract the components of v from the corresponding components of u, resulting in the vector A) <5, -5>.
Explanation:
The question involves finding the difference of two vectors u and v. To find the vector u - v, you subtract each corresponding component of vector v from vector u.
For the first component, subtract the x-component of v (1) from the x-component of u (6), which equals 5.For the second component, subtract the y-component of v (-4) from the y-component of u (-9), which equals -5.Thus, the vector u - v is A) <5, -5>.
Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?
Answer: Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.
Step-by-step explanation:
Since we have given that
Ari has 3 ounces of caramel for every 5 scoops of ice-cream .
Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice-cream.
According to Ari,
For every 5 scoops of ice-cream, he needs 3 ounces of caramel
For every 1 scoop of ice-cream, he needs
[tex]\frac{3}{5}\text{ ounces of caramel}[/tex]
For every 8 scoops of ice-cream, he needs
[tex]\frac{3}{5}\times 8=\frac{24}{5}=4.8\text{ ounces of caramel}[/tex]
So, Ari thinks amount of caramel is more for perfect milkshake as there is only need for 4.8 ounces of caramel but Freeze Zone is using 6 ounces of caramel.
Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.
Explanation:To determine what Ari will think about Freeze Zone's milkshakes, we need to compare the ratio of caramel to ice cream in Ari's perfect milkshake to the ratio in Freeze Zone's milkshakes.
Ari's perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream, so the ratio is 3:5.
Freeze Zone's milkshakes have 6 ounces of caramel for every 8 scoops of ice cream, so the ratio is 6:8.
To simplify both ratios, we can divide the numbers by their greatest common divisor. The GCD of 3 and 5 is 1, so the simplified ratio for Ari's perfect milkshake is 3:5. The GCD of 6 and 8 is 2, so the simplified ratio for Freeze Zone's milkshakes is 3:4.
Since both ratios are the same, we can conclude that Ari will think Freeze Zone's milkshakes have the perfect amount of caramel.
An artist wants to reduce the size of a drawing using a scale factor of 3:13:1 . The original drawing has an area of 720 square inches. What is area of the new drawing? Enter your answer in the box.
Answer: 80
MsEHolt is correct, the answer is 80[tex]in^2[/tex]
Rewrite 17/20 and 21/25, so that they have a common denominator then use <,>or = to order 17/20 and 21/25
Beethoven wrote 9 symphonies and mozart wrote 27 piano concertos. if a university radio station announcer wishes to play first a beethoven symphony and then a mozart concerto, in how many ways can this be done?
There are 243 different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, calculated by multiplying the number of Beethoven symphonies (9) by the number of Mozart concertos (27).
Explanation:To determine how many different ways the university radio station announcer can play a Beethoven symphony followed by a Mozart concerto, we use the fundamental principle of counting. Since there are 9 Beethoven symphonies and 27 Mozart piano concertos, we multiply the two numbers together.
The calculation is as follows:
Beethoven symphonies: 9 optionsMozart concertos: 27 optionsTherefore, the total number of combinations for playing one Beethoven symphony followed by one Mozart concerto is:
9 symphonies × 27 concertos = 243 possible combinations
This shows there are 243 different ways the radio station announcer can choose a pairing of a Beethoven symphony and a Mozart concerto to play back-to-back.
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Describe two different methods to find the elapsed time from 2:30 PM to 2:58 P. M.
If $200 is put in the bank and each year the account earns 5% simple interest, then how much interest will be earned in two years?
A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round your answer to the nearest centimeter
Order the numbers 0.64, 2/3 , 65%, and 7/10 from least to greatest.
Answer:
0.64, 65%, 2/3, 7/10
Step-by-step explanation:
The first step to solve this problem is writing all numbers on the same format:
I am going to write as percentages in the decimal format. So
0.64 = 0.64
2/3 = 0.667
65% = 65/100 = 0.65
7/10 = 0.7
So the correct answer is:
0.64, 65%, 2/3, 7/10
To the nearest tenth, find the perimeter of ∆ABC with vertices A(-1,4), B(-2,1) and C(2,1). Show your work
ANSWER
The perimeter is 11.4 units
EXPLANATION
Perimeter is the distance around the figure.
We use the distance formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
to determine the length of all the sides and add them.
[tex]|AB|=\sqrt{(-2--1)^2+(1-4)^2}[/tex]
[tex]|AB|=\sqrt{(-1)^2+(-3)^2}[/tex]
[tex]|AB|=\sqrt{1+9}[/tex]
[tex]|AB|=\sqrt{10} \approx 3.162[/tex]
[tex]|AC|=\sqrt{(2--1)^2+(1-4)^2}[/tex]
[tex]|AC|=\sqrt{(2+1)^2+(1-4)^2}[/tex]
[tex]|AC|=\sqrt{(3)^2+(-3)^2}[/tex]
[tex]|AC|=\sqrt{9+9}[/tex]
[tex]|AC|=\sqrt{18} \approx 4.24[/tex]
[tex]|BC|=\sqrt{(2--2)^2+(1-1)^2}[/tex]
[tex]|BC|=\sqrt{(2+2)^2+(1-1)^2}[/tex]
[tex]|BC|=\sqrt{(4)^2+(0)^2}[/tex]
[tex]|BC|=\sqrt{14}=4[/tex]
Therefore perimeter=[tex]|AB|+|BC|+|AC|[/tex]
=[tex]4.00+3.16+4.24[/tex]
=[tex]11.40[/tex] units
What is the value of 4.05 divide by 1.5?
The value of the expression 4.05 / 1.5 using the division property will be 2.7.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
4.05 and 1.5
Then the division of the numbers 4.05 and 1.5 will be given by putting a division sign between them. Then we have
⇒ 4.05 / 1.5
⇒ 2.7
The value of the expression 4.05 / 1.5 using the division property will be 2.7.
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Final answer:
The result of dividing 4.05 by 1.5 is 2.7.
Explanation:
The value of 4.05 divided by 1.5 can be calculated by simply performing the division.
When you divide 4.05 by 1.5, you get 2.7.
This is because 4.05 is equivalent to 405 tenths, and when you divide 405 by 15 (since 1.5 is the same as 15 tenths), you end up with 27, or 2.7 when you adjust for the decimal placement.
Use Cavalieri’s Principle to calculate the exact volume of an oblique cylinder with a radius of 10 meters and a height of 11 meters
The exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.
To calculate the exact volume of an oblique cylinder using Cavalieri's Principle, follow these steps:
1. Consider a right cylinder with the same base and height as the oblique cylinder. The volume of the right cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
2. Since the oblique cylinder and the right cylinder have the same base and height, their volumes are equal according to Cavalieri's Principle.
3. The formula for the volume of a right cylinder can be applied to the oblique cylinder, giving the volume as V = πr^2h.
4. Substituting the values of the radius (r = 10 meters) and height (h = 11 meters) into the formula gives V = π(10)^2(11) = 110π cubic meters.
5. Therefore, the exact volume of the oblique cylinder with a radius of 10 meters and a height of 11 meters is 110π cubic meters.
) find the function satisfying the y′−3y=9e6t y′−3y=9e6t and y(0)=3.y(0)=3.
Help please ...........MATH