By increasing her speed from 55 mph to 60 mph, Rachel can save approximately 1.5 hours on her 1034-mile trip from New York to Dayton, Florida.
Explanation:The subject of this question is Mathematics, specifically dealing with the concept of speed, distance, and time. To answer your question, we need to calculate how long the trip would take at each speed and then find the difference.
First, we calculate the time taken when the average speed is 55 mph. The formula to calculate time is distance divided by speed. So, 1034 miles divided by 55 mph equals about 18.8 hours.
Next, we do the same for 60 mph. 1034 miles divided by 60 mph equals about 17.2 hours.
The difference between the two times will give the time saved by increasing the speed to 60 mph from 55 mph. So, 18.8 hours - 17.2 hours equals 1.6 hours, which is approximately 1.5 hours when rounded to the nearest half hour.
Therefore, Rachel can save about 1.5 hours driving at an average speed of 60 mph compared to 55 mph over the distance of 1034 miles.
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you can walk 1 1/2 miles in 1/2 an hour what is your average speed
Answer:
3 miles per hour
Step-by-step explanation:
If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking
Answer:
3 miles per hour
Step-by-step explanation:
What is the slop of y=-7
Answer:
slope of y = -7 is 0
Step-by-step explanation:
y = any number forms a graph of a horizontal line
x = any number forms a graph of a vertical line
For any horizontal line , the slope is always 0
for any vertical line , the graph is always undefined
So for y =-7 we will get a horizontal line at -7 on t
the slope of horizontal line y=-7 is 0
What is the remainder in the synthetic division problem below?https://brainly.com/question/add?entry=1642&task_content=What+is+the+remainder+in+the+synthetic+division+problem+below%3F
Answer:
could you be more specific? link doesn't take me anywhere
Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr. Deets make ? Is the number of arrays odd or even Explain.
3 arrays - 1 x 9 (or 9 x 1) and 3 x 3
Hence, the number of arrays = 2 x 2 = 4 = even
First, we pair the different factors of 9.
The different factors of 9 are:
(1, 9) and (3, 3)
For each pair, Mr. Deets can make 2 arrays.
So, the total number of arrays that Mr. Deets can make = 2 x 2 = 4 and hence the number of arrays is even.
Answer:
4 arrays,
Number of arrays is even.
Step-by-step explanation:
∵ The possible pairs of two numbers which give 9 after multiplication,
( 3, 3) and (9, 1),
So, the possible array would be,
3 × 3, 9 × 1
Note : 9 × 1 can also be written as 1 × 9,
According to the question,
For each pair of different factors, there are two arrays,
3 × 3 and 9 × 1 are two arrays with no same factor,
Hence, the total arrays = 2 × 2 = 4
Which is an even number.
A rectangle has a length of \sqrt[3]{81} and a width of 3^{\frac{2}{3}} inches. Find the area of the rectangle.
Answer:
The area of the rectangle is 9.
Step-by-step explanation:
The first thing to take into account is that the area of a rectangle is obtained by multiplying its length and width.
[tex]area=length\times width[/tex]
The problem says that the length is [tex]\sqrt[3]{81}[/tex] and the width is [tex]3^{\frac{2}{3}}[/tex]. So, to find the area we must replace the values of length and width into the previous expression.
[tex]area=length\times width[/tex]
[tex]area=(\sqrt[3]{81})\times (3^{\frac{2}{3}})[/tex]
The previous seems to be difficult but with a little of manipulation we can get a result without a calculator.
First step: the term [tex]\sqrt[3]{81}[/tex] could be written as exponential expression.
[tex]area=(81^{\frac{1}{3}})\times (3^{\frac{2}{3}})[/tex]
Second step: the term [tex]3^{\frac{2}{3}}[/tex] could be written in other way.
[tex]area=(81^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]
Third step: in the same way, the term [tex]81^{\frac{1}{3}}[/tex] could be written in other way taking into account that [tex]81=9^2[/tex].
[tex]area=((9^2)^{\frac{1}{3}})\times ((3^2)^{\frac{1}{3}})[/tex]
Forth step: the two terms must have the same base to apply other exponential rules; for example, the base could be 9.
[tex]area=(9^{\frac{2}{3}})\times (9^{\frac{1}{3}})[/tex]
Fifth step: as both terms have the same base, we must add the exponents and simplify the expression.
[tex]area=9^{\frac{2}{3}}\times 9^{\frac{1}{3}}[/tex]
[tex]area=9^{\frac{2}{3}+\frac{1}{3}}[/tex]
[tex]area=9^{\frac{3}{3}}[/tex]
[tex]area=9^1[/tex]
[tex]area=9[/tex]
Thus, the area of the rectangle is 9.
Joey has 8 pairs of socks in his drawer five of them are white what percent of colored socks does Joey have
Answer:
0.375 or 37.5%
Step-by-step explanation:
To do this you divide 8 by 3 because he has 3 colored socks out of 8 socks.
Using the following grading scale and the following scores calculate the student’s final grade in the class: Tests: 55% Quizzes: 30% Homework: 5% Final Exam 10% Tests: 90 average Quizzes: Scores of [67, 90, 44, 29, 100, 100, 100] Homework: 85 average Final Exam: 98
The student's final grade in the class is 87.08%.
Calculating the Student's Final Grade:
Step 1: Calculate Individual Category Scores:
Tests: 90% (average)
Quizzes: (67 + 90 + 44 + 29 + 100 + 100 + 100) / 7 = 78.43%
Homework: 85% (average)
Final Exam: 98%
Step 2: Apply Category Weights:
Tests: 90% * 55% = 49.5%
Quizzes: 78.43% * 30% = 23.53%
Homework: 85% * 5% = 4.25%
Final Exam: 98% * 10% = 9.8%
Step 3: Add Category Scores:
49.5% + 23.53% + 4.25% + 9.8% = 87.08%
Therefore, the student's final grade in the class is 87.08%.
An equation that expresses a mathematical rule or relationship is a ___.
proportion
conversion factor
formula
ratio
The equation that expresses a mathematical rule or relationship is called a formula.
What is a formula?A formula in mathematics is an assertion of a fact, rule, or principle using mathematical symbols. Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulae.
Few examples of formulae are:
(a + b)^2 = a^2 + b^2 + 2ab
(a - b)^2 = a^2 + b^2 - 2ab
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
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As Saturn revolves around the sun, it travels at a speed of approximately 6
miles per second. Convert this speed to kilometers per second. At this speed, how many kilometers will Saturn travel in 2 seconds? In your computations, assume that 1
mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
Speed = 9.6 km/s
Distance traveled in 2 seconds = 19.2 km
Step-by-step explanation:
Given that revolving speed of the Saturn around the sun = 6 miles per second
We need to convert this speed into kilometers per second.
Given that 1 mile = 1.6 kilometers so plug that into above speed. We get:
Revolving speed of the Saturn around the sun = (6)(1.6) kilometers per second.
Revolving speed of the Saturn around the sun = 9.6 kilometers per second.
Now to find distance travelled in 2 seconds, we just need too multiply the speed by time.
Distance = (9.6)(2)= 19.2 Kilometers.
Hence final answer is:
Speed = 9.6 km/s
Distance traveled in 2 seconds = 19.2 km
Answer:
Speed: 9.6 km/s
Distance traveled in 2 seconds: 19.2 km
Step-by-step explanation:
Speed: S=6 miles per second=6 miles/s
S=(6 miles/s)(1.6 km/1 mile)→S=(6)(1.6) km/s→S=9.6 km/s
S=9.6 km per second, that means in 1 second the distance traveled is 9.6 km, then in 2 seconds the distance traveled is 2(9.6 km)=19.2 km or
S=d/t
Distance: d
Time: t
Replacing the known values:
9.6 km/s=d/(2 s)
Solving for d: Multiplying both sides of the equation by 2 s:
(2 s)(9.6 km/s)=(2 s)d/(2 s)
19.2 km=d
d=19.2 km
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the IQ that corresponds to a z-score of 2.33?
The IQ score that aligns with a z-score of 2.33 in a normal distribution having a mean of 100 and a standard deviation of 15 is approximately 135.
Explanation:The IQ score that corresponds to a z-score of 2.33 can be found using the z-score equation. In this equation, z is equal to (X - μ)/σ, where X is the value we're trying to find, μ is the mean, and σ is the standard deviation. Given that the mean (μ) is 100 and the standard deviation (σ) is 15, we can plug these values into the equation along with the z-score of 2.33 to solve for X. Through rearrangement of the z-score equation, X = zσ + μ. Substituting a z of 2.33, σ of 15, and μ of 100, gives X = (2.33*15) + 100 = 134.95. Hence, an IQ of approximately 135 corresponds to a z-score of 2.33 on a normally distributed IQ test.
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Seven days ago, I put 60 jelly beans in a bowl. Now there are 4 jelly beans left.
If I ate the same number of jelly beans each day, how many jelly beans did I eat each day?
Get's Brainliest if best answer
Please help ASAP!
Answer:
You ate 8 jellybeans a day
Step-by-step explanation:
60-4=56
56/7=8
The student ate 8 jelly beans per day, calculated by subtracting the number of jelly beans left from the original amount and dividing by the number of days.
To determine how many jelly beans were eaten each day, we can subtract the number of jelly beans left in the bowl from the original amount and then divide by the number of days that have passed.
If there were originally 60 jelly beans and now there are only 4 left, then 60 - 4 jelly beans have been eaten.
Over the course of 7 days, this amount should be divided by 7 to find the daily consumption.
= 60 jelly beans - 4 jelly beans = 56 jelly beans have been eaten in total.
To find the number eaten per day: 56 jelly beans / 7 days
= 8 jelly beans per day.
Therefore, 8 jelly beans were eaten each day.
A rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet. Describe the possible widths of the room. Round your answers to the nearest tenth of a foot.
The approximate width of the room is at least
feet and at most
feet.
The possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.
Given that a rectangular room must have a perimeter of 70 feet and an area of at least 200 square feet, to determine the possible widths of the room the following calculations must be performed:
Rectangle = 70 feet of perimeter = 35 feet of base and height added
Area of a rectangle = base times height
5 x 30 = 150 6 x 29 = 174 7 x 28 = 196 8 x 27 = 216 10 x 25 = 250 17 x 18 = 306 27 x 8 = 216
Therefore, the possible widths of the room go from 8 to 27 feet, as well as the possible lengths of it.
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Can you help me I can’t figure it out!
Answer:
C, 17.3
Step-by-step explanation:
Mean is the average of the numbers. To get the mean, add all the numbers up, and divide them by how many numbers there were. Let's do that.
(16.8 + 12.3 + 19 + 17.5 + 18.2 + 17.5)/6
Simplify
101.3/6
Simplify.
~16.88
The closest estimate to that is C, 17.3
y = -0.4x +0.3
in standard form using integers !!!!
A water bottle that holds 24 1/2 ounces of water is 3/5 full. Is there enough water in the bottle to fill three glasses with 5 ounces each?
Answer:
No, there is not enough water.
Step-by-step explanation:
The water bottle holds 24.5 and there is 3/5 of it.
3/5 of 24.5 is 14.7 ounces
You want to fill three glasses with 5 ounces each. Multiply 3 x 5 which gives you 15.
14.7 is less than 15
Subtract 15 from 14.7 and you'll have a negative or not enough so no, it cannot fill three glasses with 5 each.
Which of the following shows the abbreviation for an SI unit of density?
A. lb/mL
B. g/cm3
C. L/kg
D. kg/m2
Answer:
B. g/cm3
Step-by-step explanation:
Answer:
kilogram
Step-by-step explanation:
The SI unit of kilogram per cubic metre (kg/m3) and the cgs unit of gram per cubic centimetre (g/cm3) are probably the most commonly used units for density.1,000 kg/m3 equals 1 g/cm3. (The cubic centimeter can be alternately called a millilitre or a cc.)
A leak in a water tank causes the water level to decrease by 3.6×10−23.6×10−2 millimeters each second. About how many millimeters does the water level in the tank decrease in 5 hours, or 1.8×1041.8×104 seconds? Drag and drop the values to the boxes to express the answer in scientific notation.
Answer:
[tex]6.48\times 10^{2}[/tex] millimeters.
Step-by-step explanation:
We have been given that a leak in a water tank causes the water level to decrease by [tex]3.6\times 10^{-2}[/tex] millimeters each second.
To find the decrease in water level in 5 hours let us multiply water decrease in one second by number of seconds in 5 hours.
[tex]\text{The decrease in water level in the tank}=3.6\times 10^{-2} \times 1.8\times 10^4[/tex]
Using the exponent product rule let us add the exponents with same base (10).
[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{-2+4}[/tex]
[tex]\text{The decrease in water level in the tank}=3.6 \times 1.8\times 10^{2}[/tex]
[tex]\text{The decrease in water level in the tank}=6.48\times 10^{2}[/tex]
Therefore, the water level in tank decreased [tex]6.48\times 10^{2}[/tex] millimeters in 5 hours.
Solve for the compound inequality 6b<24 or 4b+12>4
6b < 24 divide both sides by 6
b < 4
4b + 12 > 4 subtract 12 from both sides
4b > -8 divide both sides by 4
b > -2
Answer: -2 < b < 4 → b∈(-2, 4)pls help with number 2 will give brainliest
Answer:41% i think i am pretty sure
Step-by-step explanation:
don't have one
Solve the system of elimination -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5
Answer:
x = 1 , y = 1 and z = 0
Step-by-step explanation:
-2x+2y+3z=0 ------(1)
-2x-y+z=-3 --------(2)
2x+3y+3z=5 ---------(3)
To find the values of x,y and z
(3) - (2)⇒ 2y + 4z = 2
y + 2z = 1 --------(4)
(1) - (2)⇒ 3y +2z =3 ---(5)
(5) - (4)⇒ 2y = 2
y = 1
Substituting the value of y in (4) we get z =0
Substituting the value of y and z in (1) we get x = 1
Therefore x = 1 , y = 1 and z = 0
a used car lots runs sales at the end of the year to reduce inventory this year the sale price is 15% less than the regular price if the regular price of a car 12,000, what is the sale price of the car
Answer:
$10,200
Step-by-step explanation:
12,000x 0.85 = $10,200
or 12,000 x 0.15 = 1,800
$12,000 - $1,800 - $10,200
The price of a video game was reduced from $60 to $45. by what percentage was the price of the video game reduced
Answer: 25%
Step-by-step explanation:
Given : The price of a video game was reduced from $60 to $45.
i.e. Previous price = $60
New price = $45
Reduction in price = Previous price -New price
= $60 - $45 = $15
Then, the percentage was the price of the video game reduced :-
[tex]\dfrac{\text{Reduction in price}}{\text{Previous price}}\times100\\\\=\dfrac{15}{60}\times100=25\%[/tex]
Hence, the percentage was the price of the video game reduced = 25%
25% was the price of the video game reduced.
Step-by-step explanation:
Given :
Previous Price of the video game = $60
Present Price of the video game = $45
Calculation :
Let previous price of the video game be 100% than,
[tex]= \dfrac{45\times 100}{60}[/tex]
= 75%
Reduced Percentage = 100 - 75 = 25%
Therefore, 25% was the price of the video game reduced.
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GCF of 35 and 63. Show your work.
Answer:
Step-by-The GCF of 35 and 63 is 7. To find the GCF, we will start by listing the factors of 35 and listing the factors of 63. We see that the factors that are common to both 35 and 63 are 1 and 7, and the greatest of these is 7. Therefore, the greatest common factor of 35 and 63 is 7.step explanation:
The greatest common factor of the numbers 35 and 63 will be 7.
We may use the prime factorization method to get the greatest common factor (GCF) of 35 and 63.
The two numbers are first factored into their prime factors.
While 63 can be written as 3 * 3 * 7, 35 may be written as 5 * 7.
Next, we determine the common prime factors and calculate each factor's lowest exponent.
The common component in this instance is 7. The GCF of 35 and 63 is thus 7.
The greatest number that divides both 35 and 63 without producing a remainder is the GCF.
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1/4 = z/20 Plzzz i need this done ASAPP!!!!!!! ill give 30 points
Answer:
z=5
Step-by-step explanation:
1/4=z/20
20*1/4=z
z=5
Need help ASAP!
Write the missing base.
256 + ___ (power 6 with the missing base)
16 = ___ (power 4 with missing base)
Will give brainliest! read carefully.
Thank you ^^
256 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 2⁸
16 = 2 * 2 * 2 * 2
= 2⁴
When a customer wants pie for dessert, you cut the whole pies into 7 equal slices. At the end of your shift, 3/7 of a cherry pie, 2/7 of an apple pie, 3/7 of a peach pie, and 5/7 of a blueberry pie remain. How much pie remains, as a fraction of a whole pie?
Answer:
The answer is 13/7
Step-by-step explanation:
Answer:
13/7
Step-by-step explanation:
what is the solution to −1.2b−5.3≥1.9
Answer:
If you want me to solve for b then
b ≤ − 6
The solution to the given inequality is b≤-6.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -1.2b-5.3≥1.9.
Add 5.3 on both the sides of an inequality, we get
-1.2b≥7.2
Divide -1.2 on both the sides of an inequality, we get
b≤-6
In interval notation: (-∞,-6]
Therefore, the solution is b≤-6.
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Sarah answered 85% of the trivia questions correctly what fraction describes this percent
Answer:17/20
Step-by-step explanation:
100% being a whole.
so she got 85% out of 100%, then 85 out of 100.
[tex]\bf \cfrac{85}{100}\implies \cfrac{5\cdot 17}{5\cdot 20}\implies \cfrac{5}{5}\cdot \cfrac{17}{20}\implies 1\cdot \cfrac{17}{20}\implies \cfrac{17}{20}[/tex]
Convert 5 square root of a into exponential form?
Answer:
The answer is: " [tex]5a^\frac{1}{2}[/tex] " .
_____________________________________________
Step-by-step explanation:
______________________________________________
We are asked to convert "5 square root of a" ; into "exponential form".
Note that "5 square root of a" ;
or; " 5 root a " ;
means: " 5 times the {square root of the variable, "a" };
or : " 5 multiplied by the {square root of the variable, "a" }.
_______________________________________________
This can be written as: " [tex]5\sqrt{a}[/tex] " .
_______________________________________________
Note the following property of exponents:
[tex]\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n[/tex] .
_____________________________________________
So; to write: " √a " ; as an exponent :
______________________________________________
Note:
" [tex]\sqrt{a} = \sqrt[2]{a} = \sqrt[2]{a^1} = (\sqrt[2]{a})^1 = a^\frac{1}{2}[/tex] " .
_______________________________________________
So:
" [tex]\sqrt{a} = a^\frac{1}{2}[/tex] " ;
_______________________________________________
And:
________________________________________________
" [tex]5\sqrt{a} = 5a^\frac{1}{2}[/tex] " .
________________________________________________
→ The answer is: " [tex]5a^\frac{1}{2}[/tex] " .
________________________________________________
Hope this helps!
Best wishes in your academic endeavors
— and within the "Brainly" community!
________________________________________________
what is the definition of exponential decay
Answer:
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
Step-by-step explanation:
Answer:
[tex]y =Ae^{-kx}[/tex]
would be the exponential decay function for initial population A and decaly rate is -k.
Step-by-step explanation:
Exponential decay occurs when rate of change of population or any other quantity is proportional to the present population or quantity present
i.e. if y is the population
then dy/dx = -ky where k is a positive constant of proportionality
[tex]\frac{dy}{y} =-kdx\\ln y = -kx+C\\y = e^{-kx+C} =Ae^{-kx}[/tex]