Answer:
60 miles
Step-by-step explanation:
Ashok and Brian are both walking east along the same path; Ashok walks at a faster constant speed than does Brian. If Brian starts 30 miles east of Ashok and both begin walking at the same time, how many miles will Brian walk before Ashok catches up with him?
Statement 1. Brian’s walking speed is twice the difference between Ashok’s walking speed and his own
Statement 2. If Ashok’s walking speed were five times as great, it would be three times the sum of his and Brian’s actual walking speeds
Solution
A. Brian’s walking speed is twice the difference between Ashok’s walking speed and his own.
Let Brian speed=b
Ashok speed=a
Brian's walking speed=2(a-b)
b=2(a-b)
Divide both sides by 2
b/2=a-b
Ashok catches up in (time)= distance /( relative rate
=30/(a-b)
=30/(b/2)
=30÷b/2
=30*2/b
=60/b.
By that time Brian will cover a distance of
distance=rate*time
=b*60/b
=2(a-b)*60/2(a-b)
=60 miles
(2) If Ashok’s walking speed were five times as great, it would be three times the sum of his and Brian’s actual walking speeds.
5a=3(a+b)
5a=3a+3b
5a-3a=3b
2a=3b
please hellppp please hellllllp
Answer:
a. 170
b. −25
c. -25
d. 75√3 (Decimal: 129.903811)
solve the following equations 3m = 2(m - 3) its on acellus! pls help!!
Answer:
m = -6
Step-by-step explanation:
3m = 2(m - 3)
Distribute
3m = 2m - 6
Subtract 2m from each side
3m -2m = 2m-2m -6
m = -6
Answer:
[tex]\boxed{\red{m = - 6}}[/tex]
Step-by-step explanation:
[tex]3m = 2(m - 3) \\ 3m = 2m - 6 \\ 3m - 2m = - 6 \\ m = - 6[/tex]
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
what is x if x(x+3)(x+3)=0
Answer:
hello :
Step-by-step explanation:
x(x+3)(x+3)=0 means : x=0 or x+3=0 or x+3=0
x=0 or x=-3 or x=3
Experimental probability
Answer:
85%
Step-by-step explanation:
Let’s identify all the outcomes less than 10, that would be 2-9
The number of times the die was rolled is obtainable by adding all the frequencies ;
That would be ;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100
Now let’s add the frequencies of results which are less than 10;
That would be the frequencies of the numbers 2-9;
Thus, we have;
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 = 85
The required probability of rolling a number less than 10 = 85/100 = 0.85 which to the nearest percent is 85%
Practice writing and solving quadratic equations.
Assignment
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
O2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
x2 + 2x + 72 = 0
Answer:
[tex]\boxed{\sf \ \ \ x^2 + x -72 = 0 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to use the distributive property which means that for a, b and c real numbers a(b+c)=ab+ac
So here we can write
[tex]x(x+1)=72\\<=> x*x+x*1=72\\<=> x^2 + x -72 = 0\\[/tex]
do not hesitate if you have any question
Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
[tex]-16t^2+81<17[/tex] The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
[tex]-16t^2<-64[/tex] then divide both sides by -16:
[tex]t^2>4[/tex] Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
Answer:
A on edg
Step-by-step explanation:
A penny is dropped from a height of 144 feet. Calculate the time between when the rock was dropped and when it landed. If we choose
"down" as positive and ignore air friction, the function is h(t) 16t2 - 144.
Answer:
3 seconds
Step-by-step explanation:
Given the function :
h(t) = 16t2 - 144.
h = height = 144 and t = time after t seconds the ball penny was dropped.
When the penny lands, h = 0
Therefore, our function becomes ;
16t2 - 144 = 0
The we can solve for t
16t^2 - 144 = 0
16t^2 = 144
Divide both sides by 16
(16t^2 / 16) = 144 / 16
t^2 = 9
Take the square root of both sides
t = 3
Therefore, the time between when the rock was dropped and when it landed is 3seconds
Answer:
t = 3 seconds
Step-by-step explanation:
Rewrite in simplest radical form, thx :)
Answer:
The answer is
[tex] \sqrt[3]{ {x}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } } [/tex]
Since they have the same base and are dividing we can use the rules of indices
That's
subtract the exponents
So we have
[tex] {x}^{ \frac{5}{6} - \frac{1}{6} } [/tex]
[tex] {x}^{ \frac{4}{6} } [/tex]
[tex] = {x}^{ \frac{2}{3} } [/tex]
Rewriting it in radical form
We have the final answer as
[tex] \sqrt[3]{ {x}^{2} } [/tex]
Hope this helps you
(4x + 7)ºX[5(x – 4)]°
What is the Value of X?
Answer:
x = 27°Step-by-step explanation:
From the question ( 4x + 7)° and [5(x - 4)]° are vertically opposite
Since vertically opposite angles are equal we can equate them to find x
That's
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20
Group like terms
5x - 4x = 20 + 7
x = 27°Hope this helps you
Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5
Answer: 6 - 5
Step-by-step explanation:
|z - 6| - |z - 5| ; z < 5
Since z < 5, then
|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 6) = -z + 6
|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:
-(z - 5) = -z + 5
Now subtract them without the absolute value signs:
-z + 6 - (-z + 5)
Distribute the negative sign:
-z + 6 + z - 5
-z + z = 0 which leaves:
6 - 5
Answer: 1
Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3
Now we can write our new equation: (3-6)-(3-5)
now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.
Knowing that both parentheses are negative results we can set up an equation using z instead of 3:
-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer
Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her
card and no late fees were charged how long will it take her debt to double?
Answer:
5 years
Step-by-step explanation:
Firstly, Let's use a function to find how much Jenny owes every year.
Using f(t)=3,000(1.18)^t
We can find the amount of money jenny owes every year.
Now let's try to find how many years it would take her to double her credit card debt.
If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.
the equation y=4.65x 1.37 fits the graph of stock XYZ over the past month with an r=value of 0.9894. How much do you think XYZ will be worth at x=19 days?
Answer: $1841.38 .
Step-by-step explanation:
Given, the equation [tex]y=4.65(1.37)^x[/tex] fits the graph of stock XYZ over the past month with an r=value of 0.9894.
At x= 19,
[tex]y=4.65(1.37)^{19}\\\\\Rightarrow\ y=4.65(395.9960)\\\\\Rightarrow\ y=1841.38[/tex]
Hence, At x= 19 days , the worth of XYZ will be $1841.38 .
2/7/10
Container X contained 1200 g of sand. Container Y contained L
rand. After an equal amount of sand was removed from each com
Lontainer y now hos 7 times as much sand as Container XHOW now
and was removed from each container? Give your answer in kilograma
Complete question:
Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?
Answer: the mass of sand removed from both containers is 0.2kg
Step-by-step explanation:
Given that:
Mass of sand in container X = 1200g = 1.2kg
Mass of and in container Y = 7.2kg
Equal amount of sand was removed from both.
Let the mass of sand removed from both containers = z
That is;
Container X = 1.2 - z
Container Y = 7.2 -z
Now container Y has become 7times the content in container X
Container Y = 7 * (container X)
7.2 -z = 7(1.2 - z)
7.2 - z = 8.4 -7z
-z + 7z = 8.4 - 7.2
6z = 1.2
z = 0.2
Therefore, the mass of sand removed from both containers is 0.2kg
Please help fast! 25 points and brainliest!! Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x
Answer:
fx/gx=10
Step-by-step explanation:
fx= (36x5)-(44x4)-(28x3)
fx=80
gx= 4x2
gx=8
To work out fx/gx:
fx/gx=80/8
fx/gx=10
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
wich rational number could be graphed between 0 and 1
Answer:
1/4 is the answer
Step-by-step explanation:
I am not sure how to explain but the answer is 1/4
Answer:
1/4
Step-by-step explanation:
HELP PLZZZ
If f(x)=3x+2, what is f(5)?
Answer:
[tex]f(5)=17[/tex]
Step-by-step explanation:
[tex]f(x)=3x+2[/tex]
[tex]f(5)=3(5)+2[/tex]
[tex]f(5)=15+2[/tex]
[tex]f(5)=17[/tex]
Answer:
17
Step-by-step explanation:
f(x) = 3x + 2
f(5) = 3(5)+ 2
f(5) = 15 + 2
f(5) = 17
I don't know why its correct. Help explain to me pls.
The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12
Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.
The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).
In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed
Answer:
4 socks.
Step-by-step explanation:
There are three different colors of socks in the drawer: black, gray and orange.
The worst possible scenario for making a pair would be getting a different color of sock with the first three picks (1 black, 1 gray, 1 orange). Since we now have one of each, the next sock drawn from the drawer will form a pair with one of our three socks. Therefore, the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed is 4.
Analyzing Data The snowfall data for Resort A are close to symmetric when they are shown in a box plot. The snowfall data for Resort B are not symmetric when they are shown in a box plot. Why is a box plot a good method to compare the data?
Answer:
Hey mate!
Here is your ans!
A box plot displays the accuracy and dispays the range and distribution of the data along the number line which majes it easier to study and get the accurate answers.
Hope it helped.. If yes mark me BRAINLIEST and follow me too!
Answer:
When comparing two sets of data, a box plot can show whether either set of data is symmetric. If the data are symmetric, then the mean equals the median. If the data are not symmetric, then the median will be a better measure of center than the mean.
Step-by-step explanation:
Sample response on edge :>
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each
person showered for an average of 480 minutes and used an average 72 liters of shower water (over the
entire month). Water costs 0.20 dollars per liter.
How much did Trevor's family pay per minute on shower water?
Answer:
0.03
Step-by-step explanation:
Khan
The amount of money the Trevor's family pay per minute on shower water is $0.03
How to find cost of water per minuteTotal number of people in Trevor's house = 6Number of bathrooms = 3Time each person spent bathing = 480 minutesWater used by each person per month = 72 liters Cost of water per liter = $0.20Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter
= 72 / 480 × 0.20
= 0.15 × 0.20
= $0.03
Learn more about cost:
https://brainly.com/question/19104371
Please help me with this question!!!!!
Answer:
B. [tex]H(x)=-.008(x-82)^{2}+83[/tex]
Step-by-step explanation:
Well lets graph the following equation first,
H(x) = -.011(x - 82)^2 + 75
Then lets graph all the other equations.
Look at the image below↓
So A.
The purple line does not go farther or higher,
so A. is incorrect
B.
The black line goes higher and farther,
meaning it is correct.
C.
The red line goes farther but not higher.
So it is incorrect
D.
Again the blue line does not go farther of higher.
So its wrong.
Thus,
answer choice B. [tex]H(x)=-.008(x-82)^{2}+83[/tex] is correct.
Hope this helps :)
pls i want help on this one
Answer:
1808 people
Step-by-step explanation:
Find 1% by dividing by 100.
1600/100=16
Multiply 16 by 13.
208
Add it to 1600.
1808
There are now 1808 people.
PLEASE HELP!! ASAP PLEASE!!
Answer:
option c is the right answer
I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check
3 (P+5) + P = 3(2+P) solve and check
2(A+4) + 6A = 2(2 + 3A) solve and check
Answer:
hello, friend(✿◡‿◡)
Step-by-step explanation:
-7Q + 6 + 5Q = 15 - 7
Q=-1
3 (P+5) + P = 3(2+P)
P=-3
2(A+4) + 6A = 2(2 + 3A)
A=-2
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
51
Step-by-step explanation:
Well we first need to find the volume of the soup in the pot using the following formula,
πr^2h
15*15 = 225
225 * 25 = 5625
5625 * pi = 17671.46
Now we need to find the volume of the ice cube using the formula,
l*w*h
7*7*7 = 343
Now we do 17671.46 ÷ 343 = 51.5202915452
You can have half an ice cube,
thus, Sharon can make 51 whole cubes.
Hope this helps :)
Answer:
130 cubes ( if the cylindrical height is 25 in )
51 cubes ( if the cylindrical height is 25 cm)
Step-by-step explanation:
cube edges = 7 cm long
volume of the soup = pi * r² * h
where h = 25in convert it to cm = 25 in * 2.54 cm/1 in = 63.5 cm
cylindrical pot diameter d = 30 cm
Volume of cylindrical pot = 3.14 * 15² * 63.5 = 44,885.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 44,885.5 / 343 = 130 cubes
therefore, Sharon can make 130 whole cubes
-----------------------------------------------------
if the cylindrical height is 25cm then
Volume of cylindrical pot = 3.14 * 15² * 25 = 17,671.5 cm³
Volume of ice cube = 7 * 7 * 7 = 343 cm³
to get the number of cubes = 17,671.5 / 343 = 51 cubes
3√6+4√6 is equal to
Answer:
[tex]7\sqrt{6}[/tex]
Step-by-step explanation:
You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.
We can also check this.
[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35
[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8
[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15
7.35+9.8 = 17.15
Hope this helped!
Answer:
17.15
Step-by-step explanation:
[tex]3\sqrt{6}[/tex]
Square root of 6 is about 2.45
2.45 * 3 = 7.35
[tex]4\sqrt{6}[/tex],
Square root of 6 is about 2.45,
2.45*4 = 9.8
7.35 + 9.8 = 17.15
PLZ HELP. Will give brainliest if answered correctly with explanation.
Answer:
90 degrees
Step-by-step explanation:
given:
ABCD~EFGH
mB=mBCD=90
mBAD=128
find mFGH
this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees
Please answer this now in two minutes
Answer:
m∠P: 52 degrees.
m∠Q: 128 degrees.
Step-by-step explanation:
In a rhombus, opposite angles are equal, and all angles add to be 360 degrees.
This means that m∠P = m∠P, and m∠Q = m∠S. Because that is the case, m∠P + m∠Q = 180 degrees.
(2w - 62) + (w + 71) = 180
2w + w - 62 + 71 = 180
3w + 9 = 180
3w = 171
w = 57
Now that we have the value of w, we can find the m∠P and m∠Q!
m∠P: (2 * 57) - 62 = 114 - 62 = 52 degrees
m∠Q: (57 + 71) = 128 degrees
To make sure we are right...
128 + 52 = 180
Hope this helps!