Answer:
train A=38mph train B=44mph
Step-by-step explanation:
Setting up a table:
s t d
A x 190/x 190
B x+6 220/x+6 220
Train A was 6mph slower as shown in the table, so to make it easier, train a is identified as x, train b would be x+6
Their distances are put in their respective column.
You find time from distance divided by speed.
So time would be written as such.
Since you know they take the same amount of time, for the equation, you connect them with an equal sign. Cross multiply to something like:
190(x+6)=220x
190x+1140=220x
1140=30x
x=38
You plug this in and get the speed for train A as 38, and train B as 44.
Hope this helps ^^
What is the size of each piece in square units?
What is the area of the shaded rectangle in square units?
Answer Asapp plezz
Answer:
8 pieces are shaded
Size of one square is (1/3)*(1/5)=1/15
The area of shaded region is basically (2/3)*(4/5)=8/15
The Size of one square is 1/15. The area of the shaded region rectangle is 8/15.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
From the given figure we can see that 8 pieces of the square makes a shaded region.
The area of a square = side x side
[tex]= \dfrac{1}{3}\times\dfrac{1}{5}\\\\=\dfrac{1}{15}[/tex]
Therefore, the Size of one square is 1/15.
The area of the shaded region rectangle = length × Width
[tex]= \dfrac{2}{3}\times\dfrac{4}{5}\\\\=\dfrac{8}{15}[/tex]
Learn more about the area;
https://brainly.com/question/1658516
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domain of function y=|x|
Answer:
All real number
Step-by-step explanation:
The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.
Hope this help <3
A motorboat travels 189 kilometers in 3 hours going upstream and 475 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
boat speed 79 kph
stream speed 16kph
Step-by-step explanation:
Let v be the still water velocity
Let s be the stream velocity
3(v - s) = 189
3v - 3s = 189
v - s = 63
v = 63 + s
5(v + s) = 475
5v + 5s = 475
5(63 + s) + 5s = 475
315 + 5s + 5s = 475
10s = 160
s = 16 km/hr
v = 63 + 16
v = 79 km/hr
plzzzzzzzz helllllllppppppppp
Answer:
C
Step-by-step explanation:
He want's the bookshelf to be 1.5 feet taller than 1/4 of the height of his plant
If his plant's height is p, 1/4 of it's height would be 1/4p
As he wants the bookshelf to be 1.5 feet taller than this, the height should be
1.5 + 1/4p, which can also be written as p/4 + 1/5
Answered by g a u t h m a t h
Answer:
1/4p +1.5
Step-by-step explanation:
p = plant stand
The bookshelf is 1/4 the height of the plant stand plus 1.5 ft
1/4p +1.5
total mass vs. numbers of cd and numbers of cd
Answer: Choice A) M = 0.25n + 100
=============================================================
Explanation:
For now, I'll treat n as x, and M as y.
In other words,
x = number of CDsy = total mass in kgLet's select two points from this graph. I'll pick (200,150) and (400,200)
The slope of the line through those points is
m = (y2-y1)/(x2-x1)
m = (200-150)/(400-200)
m = 50/200
m = 0.25
Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b
y = mx+b
150 = 0.25*200+b
150 = 50+b
150-50 = b
100 = b
b = 100
You could also use (x,y) = (400,200) and you should get the same b value.
In fact, any other point from this graph works as well.
------------------------------
Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100
This then translates over to M = 0.25n + 100 which is choice A
To help verify this, let's say we plugged in n = 100
M = 0.25*n + 100
M = 0.25*100 + 100
M = 25 + 100
M = 125
Which is confirmed by what the graph shows. I'll let you check the other points as well.
I need help with 4 x (7 - 3) please show your work
Answer: 16
Step-by-step explanation:
Take ( 7 - 3 ) and subtract 3 from 7, which gives you 4, then take 4 and multiply it by 4, ( 4x4 ) which gives you 16.
Answer:
16
Step-by-step explanation:
4 * (7 - 3)
Parentheses first
4*(4)
Then multiply
16
5 pencils for 15 dollers how much for each pencil
5 pencils = 15 dollors
1 pencil = 15/5 dollors
therefore 1 pencil = 3 dollors...
Answer:
Each pencil would cost $3.00
Step-by-step explanation:
If 5 costs $15, to find the cost of one you divide 15 by 5
15 ÷ 5 = 3
Find the missing side length in the image below
Which of these numbers are greater than 24? Check all that apply.
O A. 12
B. 15
O C. 42
D. 41
E. 13
D F. 18
Answer:
A, B, E, F
Step-by-step explanation:
24>12, 24>15, 24>13, 24>18, 24<42, 24<41
will give someone a brainlyest pls help! thank you
Answer:
D.
Step-by-step explanation:
5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828
Therefore,
1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17
Please Help Polygons
Step-by-step explanation:
5.25....................
Hi there!i am confused about this equation. Please help to solve this.
Answer:
Step-by-step explanation:
Short of taking 3 hours to type out the way that I did this, let me just tell you the process. Square both sides and multiply to distribute. You end up with radicals still, so square both sides again and multiply to distribute. What you end up with is a 6th degree polynomial that has to be factored. What I got in the end were these zeros:
x = 21.41917943
x = 1.306542114+/-7186864435i
x = -1.066667927
x = 1.28038353
x = 1.28038353
x = -.2459792634
Find the fractal dimension of the object.
Answer:
maaqqqf aku ngak tau soal jawaban in
Find the remainder when f(x) = x^3- 6x^2 +3x -1 divided by 2x-3
Answer:
Remainder is -53/8
Step-by-step explanation:
the divisor is (2x - 3):
make x the subject:
[tex]2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} [/tex]
substitute for x in the function:
[tex]f(x) = {x}^{3} - 6 {x}^{2} + 3x - 1 \\ f( \frac{3}{2} ) = {( \frac{3}{2}) }^{3} - 6 {( \frac{3}{2}) }^{2} + 3( \frac{3}{2} ) - 1 \\ \\ f( \frac{3}{2} ) = \frac{ - 53}{8} [/tex]
solve 8x=5x+3 pls pls pls
Answer:
x = 1
Step-by-step explanation:
8x = 5x + 3
Subtract 5x from both sides
8x - 5x = 5x - 5x + 3
Simplify
3x = 3
Divide both sides by 3
3x/3 = 3/3
Simplify
x = 1
What type of polynomial is: -2/3 b^3
Answer:
I think cubic polynomial cause degree is 3
Three numbers form an arithmetic sequence whose
common difference is 3. If the first number is
increased by 1, the second increased by 6, and
the third increased by 19, the resulting three
numbers form a geometric sequence. Determine
the original three numbers.
Let x be the first number in the sequence. Then the first three numbers are
{x, x + 3, x + 6}
The next sentence says that the sequence
{x + 1, x + 9, x + 25}
is geometric, which means there is some fixed number r for which
x + 9 = r (x + 1)
x + 25 = r (x + 9)
Solve for r :
r = (x + 9)/(x + 1) = (x + 25)/(x + 9)
Solve for x :
(x + 9)² = (x + 25) (x + 1)
x ² + 18x + 81 = x ² + 26x + 25
8x = 56
x = 7
Then the three numbers are
{7, 10, 13}
Please help will give brainliest
Complete the equation describing how
x and y are related.
X
0
1
2
3
4
у
-6
-10
-14
- 18
-22
y = [ ? ]x + [ ]
Enter the answer that belongs in [?].
Answer:
-6
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The y intercept is the value when x = 0
The y value is -6 when the x value is 0
y = -4x+ (-6)
if k = p+2q/3 , find the value of p when k=7 and q=3
Answer:
p = 5
Step-by-step explanation:
hopefully it is clear and understandable :)
A sports stadium has a capacity of 42,000. On a
particular night, 35,000 spectators attend an event. At
the end of the event, spectators leave the stadium at a rate
of 320 spectators every minute. If m represents the
number of minutes after spectators begin to leave the
stadium, which of the following inequalities describes
the times when there are still spectators in the stadium?
A) 42,000 - 35,000m < 320
B) 35,000 - 320m > 0
C) 35,000 + 320m < 42,000
D) 320m < 87,000
Answer:
B
Step-by-step explanation:
The inequality will be 35000-320m>0
Find each question solutions.Please
Answer:
Dependent variable = Total daily cost
Independent variable = number of items manufactured
2500 ;
9750
Step-by-step explanation:
Given the cost function in. A manufacturing company :
C(x) = 7.25x + 2500 ; Where
C(x) = total daily cost
x = number of items manufactured
The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).
2.)
C(0) ;
C(x) = 7.25x + 2500
Put x = 0
C(0) = 7.25(0) + 2500
Cost = 2500
This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.
3.)
C(1000)
C(x) = 7.25x + 2500
Put x = 1000
C(0) = 7.25(1000) + 2500
Cost = 7250 + 2500
Cost = 9750
This is the total cost including variable cost of producing 1000 items.
2 6 + 3 * 4 2 + 7 * - 2 /
Answer:
26 + 3 x 42 + 7 x -2 = 138
Step-by-step explanation:
Ok bud, first step we must convert our symbols (Makes it easier to solve)
26 + 3 x 42 + 7 x -2
* subsitutes for multiplication.
I recommend using PEMDAS at times:
1 - Parentheses
2 - Exponents and Roots
3 - Multiplication
4 - Division
5 - Addition
6 - Subtraction
Yet again your numbers were spaced out could they be exponents? if so:
3x^{42}+7x+24
Our answer would round to 24 but he equation was not put in a valid or straight forward way.
Compare 8/3 and 19/8.
Answer:
8/3 > 19/8
Step-by-step explanation:
Get a common denominator
8/3 *8/8 = 64/24
19/8 *3/3 =57/24
Comparing the numerators
64>57
8/3 > 19/8
Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?
Brenna and her mom finished eating dinner at 7:28 PM
They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.
4:47 + 26 = 5:13 PM
They spent another 1 hour and 13 minutes shopping for a dress.
5:13 + 1 hr 13 min = 6:26 PM
Finally, they spent 1 hour and 2 minutes eating dinner at the food court.
6:26 + 1 hr 2 min = 7:28 PM
Hope this helps :)
what is 7.65% of $509.25
Answer:
38.957625 US$
Step-by-step explanation:
38.957625 US$
Answer:
38.96
Step-by-step explanation:
Change from percent to decimal form
.0765 * 509.25
38.957625
Rounding to the nearest cent
38.96
Samuel had 12 red marbles , 15 blue marbles , and 13 green marbles . Which fraction represents the number of red marbles he has
Answer:
12/40 or simplified it would be 3/10
Step-by-step explanation:
where are parabolas on your hand?
parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?
Andrea's Sequoia gets 12 miles per gallon while driving in the city, and 20 miles per gallon while on the highway. The last time she filled up the car it took 16 gallons of gas, and she had driven 280 miles since the previous fill-up. How many miles of that 280 were city driving?
Answer:
60miles
Step-by-step explanation:
if they drove x miles in the city and y miles on the highway then you know that
x + y = 280
x/12 + y/20 = 16
x + 12y/20 = 16*12 = 192
8y/20 = 88
y = 220
x = 280-y = 280-220 = 60
Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to thegiven statistics and confidence level. Round the margin of error to four decimal places.1)99% confidence; n
Answer:
[tex]E = 0.0158[/tex]
Step-by-step explanation:
Given
[tex]n = 5900[/tex]
[tex]x = 1770[/tex]
[tex]CI = 99\%[/tex]
Required
The margin of error (E)
First, calculate proportion p
[tex]p = x/n[/tex]
[tex]p = 1770/5900[/tex]
[tex]p = 0.3[/tex]
Given that:
[tex]CI = 99\%[/tex]
Calculate the alpha leve;
[tex]\alpha = 1 - CI[/tex]
[tex]\alpha = 1- 0.99[/tex]
[tex]\alpha= 0.01[/tex]
Divide by 2
[tex]\alpha/2= 0.01/2[/tex]
Subtract from 1
[tex]1 - \alpha/2= 1 - 0.01/2[/tex]
[tex]1 - \alpha/2= 0.995[/tex]
The corresponding z value is:
[tex]z =2.576[/tex]
So, the margin of error is:
[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]
So, we have:
[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]
Using a calculator, we have:
[tex]E = 0.01577471394[/tex]
Approximate
[tex]E = 0.0158[/tex]
What is the image of (3, -12) after a dilation by a scale factor of į centered
at the origin?
Answer:
9 is. ................m.m..mk