Given:
Point A is located at [tex]-\dfrac{6}{8}[/tex].
Point B is located at [tex]-\dfrac{1}{8}[/tex].
To find:
The distance between points A and B.
Solution:
We know that,
Distance between points A and B = Location of A - Location of B
Using this given values, we get
Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]
[tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]
[tex]=\dfrac{-6+1}{8}[/tex]
[tex]=-\dfrac{5}{8}[/tex]
Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].
[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]
The distance between A and B is [tex]\dfrac{5}{8}[/tex].
Therefore, the correct option is D.
HELP!!!!!!!
What is 2 8/10 + (-3.5) in decimal form
Answer: -0.7
Step-by-step explanation:
A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently (t0) has 26,000 daily subscribers and management expects that number, S(t), to grow at the rate of subscribers per day, where t is the number of days since the campaign began. How long (to the nearest day) should the campaign last if the newspaper wants the number of daily subscribers to grow to 49,000?
Answer:
57 days
Step-by-step explanation:
Given that:
t(0) = 26000
Growth rate (S'(t)) = 80t^1/2
Targeted number of subscribers = 49000
Take the integral of the growth rate :
∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C
[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C
(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C
(160/3)t^3/2 + C
Let C = t(0)
(160/3)t^3/2 + 26000 = 49000
(160/3)t^3/2 = 49000 - 26000
(160/3)t^3/2 = 23000
Multiply both sides by 3/160
t^3/2 = 23000* 3/160
t^3/2 = 69000/160
t^3/2 = 431.25
t^(3/2 * 2/3) = 431.25^2/3
t = 57.080277
t = 57 days (approx.)
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answer:
18
Step-by-step explanation:
The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's not possible) .
0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.
Answer 18
Answer:
18
Step-by-step explanation:
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
Seventeen less than a number
is negative two. What is that
number?
Answer:15
Step-by-step explanation:
15-17=-2
Answer:
15
Step-by-step explanation:
15
2a-3b=4, solve for b
Answer:
b= - 4/3 + 2a/3
Step-by-step explanation:
The required simplified expression for b is b = [2a - 4] / 3.
Given that,
An expression is given,
2a -3b = 4
The above-given expression should be reorganized in order to solve b.
Mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
2a - 3b = 4
-3b = 4 - 2a
b = [4 - 2a ] / -3
b = [2a - 4] / 3
Thus, the required simplified expression for b is b = [2a - 4] / 3.
Learn more about arithmetic here:
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Becky needs a $5,000 loan in order to buy a boat. Which loan option would allow her to pay the LEAST amount of interest?
A)
A 24-month loan with a 6.25% annual simple interest rate.
B)
A 30-month loan with a 5.75% annual simple interest rate.
0)
A 36-month loan with a 4.00% annual simple interest rate.
D)
A 42-month loan with a 3.75% annual simple interest rate.
Answer:b
Step-by-step explanation:
I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE
so
y=9 -> y=18
*2
x=8 -> x=16
*2
so x = 16
Answer:
the only logical way solving this question is:
if y=9 then x=8
if y=18 then x should be 16
Step-by-step explanation:
I cant find any other way to solve
the first number in the pattern is 32 the rule is to add 27
Answer:
59
Step-by-step explanation:
Write the following as an inequality. 9 is greater than x, and 3 is less than x Use x only once in your inequality. also please understand that two people need to answer the question for me to give brainiest, and yes once two people answer I will choose brainliest for whoever is correct
Answer:
9>x>3
Step-by-step explanation:
the open side always faces the greater value
B^2 + 11b + 18 ( Factor the question)
Help please!
Answer:
=b^2+(9+2)b+18
=b^2+9b+2b+18
=b(b+9)+2(b+9)
=(b+9)(b+2)
I need help the instructions say go left to right
|x |-8= -5
what's the answer
Answer:
|x |-7 = -5 ( x = -3 )
Step-by-step explanation:
The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases
Answer:
1.50 is the answer
Step-by-step explanation:
yeah I had it on a question yw
Answer:
eggffdf
Step-by-step explanation:
sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh
Help!!!!!!!Plz!!!!!!!
Answer:
I'm so confused
Step-by-step explanation:
Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
natalie budgets $150 for yoga training but doesn’t want to spend all of that money. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of day,d, that Natalie can take classes and stay under (less than) her budget?
Answer:
A
Step-by-step explanation:
Answer:
A) I hope I helped you ◉‿◉
Find the equation of the line khan academy slope intercept equation from the graph
PLEASE HELP!!!
Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is
Will mark brainliest Simone please help
Answer:27.5
hope it helped can I have brainliest?
Step-by-step explanation:
2.4 x 0.87 help help help
Answer:
2.088
Step-by-step explanation:
Trust me I am in high school honors algebra with almost an average of 100.
The product of 2.4 x 0.87 is 2.088.
What is a decimal ?A decimal is represented by a dot which separates the whole part and the fractional part of a number.
According to the given question we have to multiply two decimals numbers 2.4 and 0.87.
Multiplication of decimals numbers can be easily done just by removing the decimas and multiplying them in form of integers and after obtained result we'll put the decimal as many digits before from the rightmost side as the sum of the digits which those two numbers have after the decimal.
So, (24×87) = 2088 now the sum if the digits is 3 so we'll put the decimal 3 places before which is 2.088.
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Question:
7x^2 + 8x = x^2
Answer:
x1= -4/3 and x2= 0
Step-by-step explanation:
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?
Pleaseeee
Answer:
13 1/3
Step-by-step explanation:
im sure this is right btw
Solve the following equation for x using inverse operations 7x-15=1
Answer:
x = [tex]\dfrac{16}{7}[/tex]Step-by-step explanation:
Equation
7x - 15 = 1 → Move the -15, reversing the sign:
7x = 1 + 15 → Solve the sum:
7x = 16 → We have a fraction:
x = [tex]\dfrac{16}{7}[/tex]
x = 2.28571428571
To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].
Hope this helps!
Good studies! ☺
The solution of the equation for x is;
⇒ x = 16/7
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7x - 15 = 1
Now, Solve the expression for x by using inverse operations as;
7x - 15 = 1
Since 15 is subtract and inverse of subtraction is addition.
Hence,
Add 15 both side we get;
7x - 15 + 15 = 1 + 15
7x = 16
7 is multiply by x, and inverse of multiplication is divide;
So, Divide by 7 both side;
x = 16/7
Thus, The solution of the equation for x is;
⇒ x = 16/7
Learn more about the inverse operations visit:
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find the sum of 2x ÷ x-1 and x÷x-1
Answer with step-by-step explanation:
First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.
2x ÷ x - 1 = 1
Same thing: x/x = 1. Subtract 1 from 1, which is 0.
x ÷ x - 1 = 0
1 + 0 = 1
Hope this helped!
A square patio has an area of 135 square feet. How long is each side of the patio to the nearest tenth?
Each side of the patio is approximately
feet long.
A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month
Answer:
she uses 72 gallons
Step-by-step explanation:
just do 144/2 and the answer is 72
if you wanna check your answer just do 72x2 and it equals 144
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-9, 5) ?(−9,5)? Write your answer in simplest form.
Answer
-4/3
Step-by-step explanation:
The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound
Answer:
store B, C, and D
Step-by-step explanation:
consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)
Answer:
23/3
Step-by-step explanation:
x=-4
plug x into equation
4(-4)+3y = 7
-16+3y = 7
3y=23
y=23/3