Maximum time = 0.914 hour , Minimum time = 1.28 hour
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.
Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X time equals distance, and
Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.
Distance = speed x time
Maximum speed = 150 +25
= 175 miles/ hour
Minimum speed = 150 - 25
= 125
Distance = 160 miles
Maximum time = 160/175
= 0.914 hour
Minimum time = 160/125
= 1.28 hour
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how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus
One year on Venus is 225 days on Earth.
Multiply that by 9 1/2.
The answer you get is 2137.5
9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.
There are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Equivalent to 9 1/2 years on venus.
Let the number of days on earth is x:
One year on Venus is 225 days on Earth.
= (225)(9 1/2)
= (225x19)/2
= 2137.5 days
Thus, there are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
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Solve the system of equations algebraically.
4x - 3y = 6
6x - 5y = 6
Answer: x=6 y=6
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]
Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:
[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]
Blinn College charges $166 per credit hour, you plan to take 13 hours per semester, how much will your tuition cost for a full academic year?
Answer:
$4,316
Step-by-step explanation:
Semester one: $166 per credit times 13 hours = $2,158
Semester two: $166 per credit times 13 hours = $2,158
Cost for semester one plus semester two = $4,316
(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)
Write as decimal
Step be step please
Will give brainliest
Answer: 9002.146
Step-by-step explanation:
(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)=
(9000)+2+(0.1)+(0.04)+(0.006)=
9002+0.1+0.04+0.006=9002.146
Solve for x in the given equation: 1/5 x = 2/5 What would be the inverse operation you would use to solve for x?
PLEASE HURRY UP
Lamar needs to buy plastic forks. Brand A has a box of 42 forks for $2.17. Brand B has a box of 48 forks for $3.97.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
A = .05 and B = .08 so A is the better buy
Step-by-step explanation:
In each case, divide total cost by number of units to get unit cost.
Solve for .
5x- 4 >_12
Choose 1 answer:
12x+ 5< _=-4
Answer:
x = 3.2 and No solution.
Step-by-step explanation:
5x - 4 = 12
5x = 12 + 4
5x = 16 (divide both sides by 5 to get x)
5x/5 = 16/5
x = 3.2
–––––––––––––––––––––––––––––
5x-3≥12 AND 12x+5≤-4. Solve it separately.
5x - 4>=12. add 4 on both sides. 5x>=16.
-5/6x-(x-1)=1/4(-x+80)
Answer:
x = - 12
Step-by-step explanation:
- [tex]\frac{5}{6}[/tex] x - (x - 1) = [tex]\frac{1}{4}[/tex] (- x + 80) distribute parenthesis on left side by - 1
- [tex]\frac{5}{6}[/tex] x - x + 1 = [tex]\frac{1}{4}[/tex] (- x + 80)
multiply through by 12 ( the LCM of 4 and 6 ) to clear the fractions
- 10x - 12x + 12 = 3(- x + 80) ← distribute parenthesis by 3
- 22x + 12 = - 3x + 240 ( add 3x to both sides )
- 19x + 12 = 240 ( subtract 12 from both sides )
- 19x = 228 ( divide both sides by - 19 )
x = - 12
Benson was inspired after reading a book on the Boston Marathon and decided he wanted to become a runner. On his first day of running, he weighed 197 pounds. After just six months of running, he weighed 181 pounds. What is the absolute change in Benson's weight over the first six months of his running journey?
Answer:16
Step-by-step explanation:
subtract the old number by the new number
197-181=16
Please help!!!! The question and answers are in the photo!!!!
Answer: x=5
Step-by-step explanation:
|x + 2| = 7
|5 + 2| = 7
|7| = 7
|7| = 7
help me with this please!
Using the function concept, we have that:
Items 1, 4, 5, 6, 8 and 10 are functions.Items 2, 3, 7 and 9 are not functions.When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For the relations that are not functions, we have that:
Relation 2: Suppose x = sqrt(5), then y = 2 or y = -2, that is, for each value of x, there are two values of y associated with it, hence it is not a function.Relation 3: Input 3 is associated with outputs 4 and 2, hence it is not a function.Relation 7: Input 9 is associated with outputs -18 and 17, hence it is not a function.Relation 9: Input 9 is associated with outputs -16 and 9, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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On Wednesday, a local hamburger shop sold a combined total of 544 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answerham=136
Step-by-step explanation:
ham=x,,cheese=3x....=544...4x=544 which makes x to be 136 which is the no of hamburgers
Marisol is buying cupcakes for her daughter's birthday party. she will need at least 2 cupcakes, but no more than 8. cupcakes at the local grocery store cost $3 each. the function p(c) = 3c represents the price of buying c cupcakes. what is the domain and range of the function?
The domain of the function is [2,8] while the range is [6,24].
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given the function,
p(c) = 3c
Now since Marisol can buy at least 2 cupcakes, but no more than 8.
So,
2 ≤ c ≤ 8 will be the domain of the function.
And,
p(2) = 3(2) = 6
p(8) = 3(8) = 24
So the range is 6 ≤ p(c) ≤ 24.
Hence "The domain of the function is [2,8] while the range is [6,24]".
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What is 8÷424.4 ? show your work.
Answer:
Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 424 on the right side like this:
8 ⟌ 4 2 4
Step 2:
The divisor (8) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
8 ⟌ 4 2 4
Step 3:
Multiply the divisor by the result in the previous step (8 x 0 = 0) and write that answer below the dividend.
0
8 ⟌ 4 2 4
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
8 ⟌ 4 2 4
- 0
4
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
8 ⟌ 4 2 4
- 0
4 2
Step 6:
The divisor (8) goes into the bottom number (42), 5 time(s). Therefore, put 5 on top:
0 5
8 ⟌ 4 2 4
- 0
4 2
Step 7:
Multiply the divisor by the result in the previous step (8 x 5 = 40) and write that answer at the bottom:
0 5
8 ⟌ 4 2 4
- 0
4 2
4 0
Step 8:
Subtract the result in the previous step from the number written above it. (42 - 40 = 2) and write the answer at the bottom.
0 5
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2
Step 9:
Move down the last digit of the dividend (4) like this:
0 5
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
Step 10:
The divisor (8) goes into the bottom number (24), 3 time(s). Therefore put 3 on top:
0 5 3
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
Step 11:
Multiply the divisor by the result in the previous step (8 x 3 = 24) and write the answer at the bottom:
0 5 3
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
2 4
Step 12:
Subtract the result in the previous step from the number written above it. (24 - 24 = 0) and write the answer at the bottom.
0 5 3
8 ⟌ 4 2 4
- 0
4 2
- 4 0
2 4
- 2 4
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 424 divided by 8 calculated using Long Division is:
53
0 Remainder
Step-by-step explanation:
first person 2 answer will give u brainliest need to submit by 2 nite :)
Two angles are Complementary, if the measure of one of the angles is 66.7 degrees what is the measure of the other angle? Answer to the first decimal place, IE 79.5.
Answer:
probly 79.5
Step-by-step explanation:
i d k
Sixteen identical circles are to be cut from a square sheet of fabric whose sides are 0.4 m long. Find the area of the leover fabric (to 2dp) if the circles are made as large as possible.
The left over fabric area is; 0.03 m²
What is the area of the circle?Now, if the radius of a circle is r, then the diameter is;
d = 2r
Now, there are 16 identical circles to be cut from a square sheet of fabric whose sides are 0.4 m long.
Thus, the height of the square will be the diameter of four circles.
Height of square = 4(2r) = 8r
Thus;
8r = 0.4
r = 0.4/8
r = 1/20 m
Left over fabric area = (0.4 * 0.4) - (π × (1/20)²)
Left over fabric area = 0.03 m²
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The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the _____.
The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the balloon framing.
Where is a drawing's scale often indicated?
Here, the scale may be shown on the drawing's axes or real distances may be displayed on the axes. In other situations, a scale could employ multiple measuring units. The air velocity, for instance, might be represented by the length of an arrow on an air flow diagram, where 1 cm = 0.1 m/s.What does balloon framing mean?
In contrast to platform framing, where each floor is framed independently, balloon framing uses studs (vertical members) that stretch the entire height of the building (often two storeys) from the foundation plate to the rafter plate.
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Based on the regression output, what proportion of the variability in revenue can be accounted for by whether the red sox are playing away? 22.5
By the given regression output, 22.5 % proportion of the variability in revenue can be accounted for by whether the red sox are playing away
the R- squared is to explain the variability in the dependent variable as an outcome of the difference in the independent variable, therefore the relevant figure here, the revenue is the dependent variable and the Red sox playing away is the independent variable out here.
So, the proportion will be = 0.2252 x 100%
= 22.5%
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what are the next three terms of the sequence 1,11,22,34
Answer:
47, 61, 76
Step-by-step explanation:
1 to 11 is 10, 11 to 22 is 11, 22 to 34 is 12. So you are increasing what you are adding by 1. So next you'd add, 13, 14, and 15 respectively. 34+13 is 47, 47+14 is 61, and 61+15 is 76.
Match each pair of inverse operations.
1. cubing
subtraction
2. multiplication
division
3. squaring
taking the square root
4. addition
taking the cube root
Joe works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 45 hours last week. How much money did he make that week?
Answer: $382.50
Step-by-step explanation:
8.50 x 45 = 382.50
Evaluate.
(-7) + (-14)=
Answer: -21
Step-by-step explanation: hope you have a good day
−7−14=−7+−14=−21
The width of a rectangle measures
(t - 9u) centimeters, and its length
measures (4t - 4u) centimeters. Which
expression represents the perimeter, in
centimeters, of the rectangle?
The perimeter of the rectangle can be expressed as 10t - 26u centimeters.
What is perimeter?Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.
The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters
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Factorise 6-x^2
will award brainliest to correct answer.
Answer:
the question should have something in between 6 and x
list the variables and constants in this expression:
3x+6
Answer:
The variable is x and the constant is 6. The coefficient of the variable is 3.
Step-by-step explanation:
which point is the solution-2x +3y>1 -5x+6y..
A point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)
How to determine the point is the solution?The inequality expression is given as:
-2x + 3y > 1 - 5x + 6y
Collect the like terms in the above expression
So, we have:
3y - 6y > 1 + 2x - 5x
Evaluate the like terms in the above expression
So, we have:
-3y > 1 - 3x
Divide both sides by -3
y < -1/3 + x
Let x = 0
So, we have
y < -1/3
This means that a point in the solution is
(x, y) = (0, < -1/3)
-2/3 < -1/3
So, we have
(x, y) = (0, -2/3)
Hence, a point is the solution of the inequality expression given as: -2x + 3y > 1 - 5x + 6y is (0, -2/3)
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For every 12 games Purdue wins in football, IU only wins 5. If Purdue wins 36 games, how many will IU win?
Answer:
15
Step-by-step explanation:
Purdue : IU
12 : 5
36 : x
cross multiply
36*5 = 12x
180 = 12x
180/12 = x
x = 15
Answer:
36/12= 3 so 5*3 would give you 15
If the nominal rate of interest is 2 percent, and the expected inflation rate is 10 percent, the real rate of interest is :_____.
a. 2 percent.
b. 8 percent.
c. 10 percent.
d. 12 percent.
The real rate of interest is 8 percent.
What is nominal rate of interest?In finance and economics, the nominal interest rate or nominal rate of interest is either of two distinct things: the rate of interest before adjustment for inflation; or, for interest rates "as stated" without adjustment for the full effect of compounding.
Given:
nominal rate of interest= 2%
expected inflation rate = 10 %
We know,
nominal rate = real interest rate + inflation rate
and, real interest rate= nominal rate - inflation rate
then,
real rate interest = 2-10
real rate interest = -8%
Hence, the inflation rate is greater than the nominal interest rate as it is -8%
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Suppose+14%+of+the+listeners+of+a+radio+station+listen+to+it+while+they+are+at+work.+what+is+the+approximate+standard+deviation+of+the+sampling+distribution+of+the+proportion+for+samples+of+size+85?
The approximate standard deviation of the sampling distribution of the proportion is 3.8%.
What is standard deviation?A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.
A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.
Now, as per the questions;
Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:
σp = √( PQ/n)
We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.
P = probability of listening at work, is 14% or 0.14
Q = probability of not listening at work, is (100- 14)% = 86% = 0.86
N = sample size, is 85
The sample standard deviation is then
σp = √(14×.86/85)
σp = 0.0376
σp = 3.8% (approximately)
Therefore, the approximate vale of the standard deviation is found to be 3.8 %.
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The correct question is-
If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?
What does the y-coordinate have to be for a point to be on the x-axis?
Step-by-step explanation:
If we're talking about something like y coordinate being on the x axis, I'd have to say 0. Because it would be on the y axis no matter the coordinates of it isn't a 0. Ex : (0,0) and (0,9). (0,9) would have the point going upwards on the y axis.