Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:
[tex]A.\ |1.7 - 1/2|[/tex]
[tex]B.\ |1.7 -(-1/2)|[/tex]
C. None of the above
Answer:
[tex]B.\ |1.7 -(-1/2)|[/tex]
Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;
[tex]Difference = 1.7 - (-1/2)[/tex]
Then, we calculate the distance;
In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;
Hence,
[tex]Distance = |Difference|[/tex]
Substitute [tex]1.7 - (-1/2)[/tex] for Difference;
[tex]Distance = |1.7 - (-1/2)|[/tex]
Hence, the correct option is B
The expression that represents the distance between 1.7 and -0.5 is given by |1.7 - (-0.5)| and this can be determined by using the arithmetic operations.
Given :
Numbers -- 1.7 and -0.5
The distance between two points 1.7 and -0.5 is given by:
Distance = 1.7 + |-0.5|
= 2.2
Now, check all the options in order to determine the correct option:
A) |1.7 - 0.5|
Simplify the above expression.
|1.7 - 0.5| = 1.2
B) |1.7 - (-0.5)|
Simplify the above expression.
|1.7 - (-0.5)| = |1.7 + 0.5| = 2.2
Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/13101306
A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab?
Round your answer to the nearest mile.
O A. 34 miles
OB. 17 miles
C. 35 miles
D. 16 miles
Answer:
A. 34 miles
Step-by-step explanation:
First, you want to subtract $3.50 from $60. Now you have $56.50. Now you want to divide that by $1.65, to see how many miles you can achieve with your price limit. So, now you have a grand total of 34.24. You round that, and you finally have your answer.
The answer to this problem is A. 34 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A cab driver charges a level pace of $3.50 in addition to an extra $1.65 per mile.
Let 'y' be the total amount and 'x' be the number of miles. Then we have
y = 3.50x + 1.65
If Mohammad wants to spend, at most $60. Then the number of miles is given as,
60 = 3.50x + 1.65
3.50x = 58.35
x = 16.67
x ≈ 17 miles
The number of miles that he can travel in the taxi cab will be 17 miles. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Mike packed three granola bars, measuring 8 cm by 3 cm by 1cm. What volume a box needs
to hold twelve bars?
Answer:
288 cm^3
Step-by-step explanation:
First, you have to calculate the volume of your individual bar. To do this, you multiply the three given values, so it would look like 8*3*1=24. This means that your individual bar has a volume of 24 cm^3.
To hold 12 granola bars, this would mean that your volume of the individual granola bar would be multiplied by 12, because that is how many you want to fit inside the box. So your operation would looked like 24*12=288 cm^3
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.
Answer:
This question contains some errors; the correct question is:
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.
The answer is:
(2n) slices of bread for n hikers
Step-by-step explanation:
According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.
Each hiker gets one sandwich
This, n hikers will get n× 1 sandwich
= (n) sandwiches.
If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:
(2 × n) slices of bread
That is, (2n) slices of bread.
The expression is (2n).
Write an equation in standard form of the line passing through the points (4, 3) and (7, 9).
The equation is
(Type your answer in standard form.)
Answer:
2x -y = 5
Step-by-step explanation:
The 2-point form of the equation of a line is a useful starting point.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (9 -3)/(7 -4)(x -4) +3
y = 6/3(x -4) +3 = 2(x -4) +3 = 2x -8 +3
Adding 5-y, we get ...
2x -y = 5
Here is another easy question to answer: What is the mean of the data sets {41,19,29,12,49,30}, {28,22,10,30,15}, {49,24,18,53,38}?
Answer:
Data set A {41,19,29,12,49,30} = 30
Data set B {28,22,10,30,15} = 21
Data set C{49,24,18,53,38} = 36.4
Step-by-step explanation:
Data set A {41,19,29,12,49,30} =
Mean = Sum of terms/ number of terms
Number of term = 6
Mean = 41 + 19 + 29 + 12 + 49 + 30/ 6
= 180/6 = 30
Data set B {28,22,10,30,15} =
Mean = Sum of terms/ number of terms
Number of term = 5
Mean = 28 + 22 + 10 + 30 + 15/ 5
= 105/5 = 21
Data set C{49,24,18,53,38} =
Mean = Sum of terms/ number of terms
Number of term = 5
Mean =49 + 24 + 18 + 53 + 38/ 5
= 182/5 = 36.4
Solve the system using elimination 20x+3y=20 -20x+5y=60
Answer:
x=2, y=20
Step-by-step explanation:
20x+3y=20-20x+5y=60
Combine like terms, so you would do plus 20x both sides and minus 3y both sides.
After that you can also do minus 20 both sides.
So you are left with 40x=2y=40
Please hurry!
Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?
Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem
Step-by-step explanation:
Consider the following function. F(x)=3/2+4 Using the given function, plot all the ordered pairs for the values in the domain below. (-8,-4,-2,0,2,4)
Answer:
zephyr
Step-by-step explanation:
ez i am god of thunder
PLEASE HURRY!⚠️
Which is a perfect square?
Answer:
6²
Step-by-step explanation:
A number squared is a perfect square, thus
6² ← is a perfect square
is this right? i’ll give brainliest :)
It is.
[tex]x-10 \geq 0\\\\x \geq 10\\\\\\-5 +n< -6\\\\n < 5-6\\\\n< -1[/tex]
Answer:
Correctomundo!
Step-by-step explanation:
For x-10 > 0:
1. Add 10 to both sides. x- 10 + 10 > 0 + 10
x > 10
For -5 + n < -6:
1. Simplify both sides of the inequality. n - 5 < -6
2. Add 5 to both sides. n - 5 + 5 < -6 + 5
n < -1
:)
a percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit
Answer:
[tex]\boxed{Option \ C}[/tex]
Step-by-step explanation:
Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".
Answer:
c) per 100 unit
Step-by-step explanation:
a percent measures a rate:
per cent ⇒ per 100
The correct answer is option c.
In the figure below which term best describes point 7?
The three lines drawn are at 90 degree angles, so are drawn perpendicular to the vertex.
This means point T is the orthocenter.
The answer is A
HELP ME THE ANSWER IS NOT 36 OR 12 DO THE RSM ANSWER!!! Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
Answer:
$252
Step-by-step explanation:
Let the initial amount of money Ami, Jan and Toy have initially be A, J and T respectively.
Please see attached picture for full solution.
Answer:
$252
Step-by-step explanation:
Step 1Toy has $36 and gets $36 from Ami. Now he has $36*2= $72
Step 2Toy gets $72 from Jan to double his money and now has $72*2= $144
Step 3Toy gives enough money to Ami and Jan to double their money
Toy has $36 at the end, so he has given $144 - $36= $108 to Ami and Jan
Since he doubles their money by giving $108, they now have
$108*2= $216Now we add the amount Toy has at the end to the amount Ami and Jan have at the end to get final amount:
$216+$36= $252So the friends have $252The operation symbol and the exponent are missing in the equation shown below.
7,320
10
0.07320
Which operation symbol and exponent should go in the boxes to make the
equation true?
Answer:
The operating symbol is divide (/) and the exponent is 5
[tex]7,320 / \ 10^5 = 0.07320[/tex]
Step-by-step explanation:
Given
[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]
Required
Fill in the gap
[tex]7,320 \ \_\ 10^{\_} = 0.07320[/tex]
Multiply the right hand side by 1
[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 1[/tex]
Express 1 as 100000/100000 because 100000/100000 = 1
[tex]7,320 \ \_\ 10^{\_} = 0.07320 * \frac{100000}{100000}[/tex]
Split the fraction
[tex]7,320 \ \_\ 10^{\_} = 0.07320 * 100000 * \frac{1}{100000}[/tex]
Multiply 0.7320 and 10000
[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{100000}[/tex]
Express [tex]\frac{1}{100000}[/tex] as an exponent
[tex]7,320 \ \_\ 10^{\_} = 7,320 * \frac{1}{10^5}[/tex]
Change the * sign to /
[tex]7,320 \ \_\ 10^{\_} = 7,320 / \frac{10^5}{1}[/tex]
[tex]7,320 \ \_\ 10^{\_} = 7,320 / \ 10^5[/tex]
Compare the expression on the right hand side with the left hand side base on the order of appearance;
[tex]7,320 = 7,320[/tex]
[tex]The first\ \ _ = \ /[/tex]
[tex]10 = 10[/tex]
[tex]The second\ \_ = 5[/tex]
Hence, the operating symbol is / and the exponent is 5
I WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!! Which equation does the graph below represent? y = −2x y = x y = 2x y = x (click the picture below)
Answer:
y = -2x
Step-by-step explanation:
Some points are (1,-2) , (2, -4), and (3,-6).
From these three points, we can try each of the equations to see what is correct.
If y = -2x
-2 = (-2)1
-4 = (-2)2
-6 = (-2)3
If y = x
-2 ≠ 1
-4 ≠ 2
-6 ≠ 3
If y = 2x
-2 ≠ 2(1)
-4 ≠ 2(2)
-6 ≠ 2(3)
On the graph of an exponential function representing growth what happens to the slope of the graph as X increases
Answer:
The slope of the graph will increase and get steeper.
Step-by-step explanation:
As x increases in an exponential growth graph, f(x) will have a larger value because the exponent value increases.
So, the graph will become steeper due to a larger slope.
The slope of the graph will increase and get steeper.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,m = Δy/Δx where, m is the slope
Given:
As we know that, all points on an exponential curve are always at a constant distance from one another because the slope of an exponential curve equals the constant rate of expansion.
The graph is not exponential if the slope is not constant.
So, In an exponential growth graph, f(x) will have a greater value as x grows as the exponent grows.
Consequently, a larger slope will cause the graph to grow steeper.
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ6
Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct? Please help! D:
Answer:
Hey there!
We can't compare two measurements without converting them to the same units. Thus, we use proportions to make all the values into the same unit.
[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.
12.5 cm=125 mm.
Now, we can compare the values of 125 mm and 140 mm.
Clearly, we see that 140 mm is greater than 125 mm.
Let me know if this helps :)
Answer:
If this is your question:
Select all that apply.
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?
[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]
Then your answer is:
[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]
I saw a lot of one answers, but the question is Select ALL that Apply
not just c or b
I hope this helped :))))) (●'◡'●)
PS: brainliest would be great but i'm not askin for it
PLEASEE HEEELP! In the normal distribution, 68% of the data lies within 1 standard deviation A: __/6 of the mean, 95% of the data lies within 2 standard deviations of the mean, and 99.7% of the data lies within 3 standard deviations of the mean. Answer the following question without using the Z-table. If scores on a test are normally distributed with mean 1100 and standard deviation 100, what percentage of the test scores are: a) more than 1300? b) less than 1100?
Answer:
a) 2.5% b) 50%
Step-by-step explanation:
1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.
The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.
Answer:
Step-by-step explanation:
This is the Empirical Rule.
68% of the data lies within 1 standard deviation of the mean, and so on.
If the mean is 1100 and the standard deviation is 100, 1300 represents two standard deviations above the mean. Using a calculator with distribution functions, we type in normcdf(2,10000), obtaining 0.023. This tells us that 2.3 percent of test scores are more than 1300.
Less than 1100: Since the mean is 1100, the area under the standard normal curve is exactly 0.5 (corresponding to 50% of data are less than 1100).
alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally in the container.
Answer:
32 ounces
Step-by-step explanation:
18+14=32
32 is the total
Answer:
32 ounces
Step-by-step explanation:
She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32
Hope this helps and pls mark as brainliest : )
I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposit in the bank THIS IS URGENT! PLEASE ANSWER! I REALLY NEED HELP! :((( :c :'( *crys
Answer:
You have to invest $6,250
Step-by-step explanation:
very simple applying the simple interest formula which is
[tex]A = P (1 + rt)[/tex]
Given data
A, final amount = $10,000
P, initial principal balance= ?
r, annual interest rate = 7.5%
t, time (in years)= 8 years
we can substitute our given data to find the principal needed.
[tex]10000= P(1+0.075*8)\\\10000= P(1.6)\\\[/tex]
Divide both sides by 1.6 we have
[tex]P= \frac{10000}{1.6} \\\P= 6250[/tex]
P= $6,250
Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.
Answer:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Step-by-step explanation:
[tex]2x - 5 \le -x +12[/tex]
[tex]2x - 5 +5\le -x +12+5[/tex]
[tex]2x\le -x+17[/tex]
[tex]3x \le17[/tex]
[tex]$x \le \frac{17}{3} $[/tex]
We have
[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]
Interval notation:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.
Answer:
Step-by-step explanation:
This is a decaying exponential function whose initial value is (0, 2).
FIRST GETS BRAINLLEST Each group of students receives a bag that has 9 red cubes, 5 green cubes, and 11 blue cubes. If each group makes 1000 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?
Answer:
440 blue cubes
Step-by-step explanation:
We can put it in a ratio of 9:5:11. Add those up we get 25. Then we do 1000/25 which if 40. So each number in the ratio equals 40. Then we do 11*40 and we get 440.
Answer:
440 times
Step-by-step explanation:
First, you need to find the total number of cubes each student receives (25)
Now you put it into a ratio of blue cubes to the total number of cubes
11 : 25
After that you make another ratio and solve for x
x : 1000
25x = 11000
x = 440
9. Find P(rolling 1 or 5) with one number cube.
Answer:
1/3
Step-by-step explanation:
There are 6 possible outcomes when rolling 1 die
1,2,3,4,5,6
P ( 1 or 5) = number of times 1 or 5 happens / total outcomes
= 2/ 6
= 1/3
7 movie tickets cost $35
Unit rate
Answer:
$5 per ticket
Step-by-step explanation:
If you put it into a ratio of movie tickets to cost it will be 7 : 35
When you simplify it the ration will be 1 : 5
Answer:
$5 per ticket . # Unit rate.
Step-by-step explanation:
7 tickets costs =$35
therefore, 1 ticket cost = $35÷ 7
= $5
What is the inverse of the function f(x)=-\dfrac{1}{2}(x+3)f(x)=− 2 1 (x+3)f, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, 2, end fraction, left parenthesis, x, plus, 3, right parenthesis
Answer:
The inverse of the function is
-2x-3
Step-by-step explanation:
The inverse of the function f(x) = -\dfrac{1}{2}(x+3) is f(x)⁻¹ = -2x - 3
What is the inverse of a function?The inverse of a function is a function that gives us the actual value for which the desired function has a given result.
The given function is:
[tex]\mathbf{ f(x)=-\dfrac{1}{2}(x+3)}[/tex]
To find the inverse, we need to follow the following steps
replace the role of f(x) by y;[tex]\mathbf{ y=-\dfrac{(x+3)}{2}}[/tex]
Swap x and y variables[tex]\mathbf{ x=-\dfrac{(y+3)}{2}}[/tex]
Solve for y;2x = - (y + 3)
2x = -y - 3
y = -2x - 3
Writing back in inverse notation, we have:
f(x)⁻¹ = -2x - 3
Learn more about the inverse of a function here:
https://brainly.com/question/2873333
#SPJ2
1) Assume that Mike can walk 3 km per hour. If he had been walking for 5 hours away from the trail, create a table
of values to express how far he walked and graph his progress.
Answer:
see below for a table; see second attachment for a graph
Step-by-step explanation:
Each of the distance values in km in the table will be 3 times the time value in hours.
The slope of the line on the graph is 3. The practical domain of the distance function is 0 to 5 hours.
please answer need help with equation
Answer:
12
Step-by-step explanation:
We can use PEMDAS. First, we need to calculate the stuff in the parentheses, then the exponent, then the multiplication and finally, the addition.
1/3(4 · 3) + 2³
= 1/3 · 12 + 2³ -- Parentheses
= 1/3 · 12 + 8 -- Exponents
= 4 + 8 -- Multiplication
= 12 -- Addition
Complete the synthetic division problem below.
-32 4
What is the quotient in polynomial form?
O A. 2x2 + 2x-6
B. 2x2 + 2x-2
C. 2x2 - 2x + 6
D. 2x2 - 2x+ 2
Answer:
D. 2x^2-2x+2
Step-by-step explanation:
Step 1: -3 | 2 4 -4 6
Step 2: -3 | 2 4 -4 6
-6 6 -6
| 2 -2 2 0
Bring 2 down to the answer then multiply it with 3 and add it with the next coefficient. Repeat the process until you get to the last number and you're done. Sorry its kind of hard to explain the steps for synthetic division. Hope this helps!
The synthetic division problem that is given has the quotient in polynomial form is 2x2 - 2x+ 2. The correct option is D.
What is the polynomial form?A polynomial is made up of terms, each of which has a coefficient, whereas an expression is a statement that has at least two integers and one mathematical expression.
Polynomials can be discovered by observing which formulas contain just addition, subtraction, multiplication, and non-negative integer exponents. Non-polynomial expressions will be those that contain other operations.
-3 | 2 4 -4 6
-3 | 2 4 -4 6
-6 6 -6
2 -2 2 0
Bring 2 down to the solution, multiply it by 3, and then add it to the next coefficient. Repeat the process until you reach the last number, then stop.
Therefore, the correct option is D. 2x2 - 2x+ 2.
To learn more about polynomial form, refer to the link:
https://brainly.com/question/15712876
#SPJ2
Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.
Answer:
The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!