Answer:
The 2nd equation
Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.
Answer:
With river 12 miles per hour
Against river 9 miles per hour
wv = water velocity vsw = boat velocity in still water
vsw +wv = 12 mph
vsw -wv = 9 mph
2 * vsw = 21 mph
boat velocity in still water = 10.5
Since vsw + wv = 12 then
water velocity = 1.5 mph
Step-by-step explanation:
Answer:
speed in still water: 10.5 Current: 1.5
Step-by-step explanation:
What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?
Answer:
50%
Step-by-step explanation:
Find the value of x
Answer:
x=20°
Step-by-step explanation:
The triangle is equilateral. (All sides are the same).
Each angle in an equilateral triangle is 60.
3x=60
x=20°
30 POINTS WOWWWWWW plz answer :)
Answer:
Step-by-step explanation:
3(2ax-10)=24x+5b
work out the values of a and b
Answer:
a=4
b=-6
Step-by-step explanation:
3(2ax-10)=24x+5b
6ax - 30 = 24x + 5b
6a = 24
a = 4
5b = -30
b = -6
check: 3(2*4*x - 10) = 24x - 30 = 24x + 5 * (-6) = 24x - 30
determine the slope of the linear graph y=12x+7
Answer:
12x
Step-by-step explanation:
A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
WILL GIVE BRAINLIEST
Find the equation of the line
perpendicular to y=-2x + 1 that
also intersects the point (8, 2).
y- Hx+ 1
Enter
Answer:
y=1/2x-2
Step-by-step explanation:
perpendicular lines have a neg. reciprocal for the slope.
for example:
in this equation y=-2x+1
-2 is the slope and the negative reciprocal would be 1/2
hence, the slop of our new line is 1/2
y=1/2x+b
we can substitute the coordinates given for x and y:
2=1/2(8)+b
2=4+b
-2=b
hence the new equation is y=1/2x-2
What is the answer to this question?
Answer:
the answer is the top right option
Step-by-step explanation:
I have 3 green cubes, 4 red cubes, 2 black cubes, and 6 yellow cubes. What is the probability that I will randomly choose a black cube, put it back then randomly choose a yellow cube
Answer:
4/75 or 0.05333
Step-by-step explanation:
3+4+2+6=15 elements
2/15= probability to choose a black
6/15 = probability to choose a yellow cube
Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 18. 3 feet and diagonal BD equal to 13.8 feet
What is the area of the farm? (1 point)
a
73.2 square feet
b
111.2 square feet
c
126.27 square feet
d
168.36 square feet
Answer:
c 126.27 square feet
Step-by-step explanation:
sum of two triangles
18.3 * (13.8/2) * 2 = 126.27
HELP FAST!!!! Please
A plane passes through this three-dimensional figure parallel to its base. Which shape represents the cross section that is created.
Answer:
c
Step-by-step explanation:
hope it helpp
Hong made $323 for 17 hours of work
At the same rate, how much would he make for 7 hours of work
Answer:
$153
Step-by-step explanation:
323/17=19
19x7=153
Please help me asap this is due in 10 min Ill also mark brainliest
As we know that formula of area of circle is πr²
So let's apply formula
π×8.6×8.6
=232.2
=200 is the nearest hundredth.
You have to do rest of all through this method.
please help me with this
Write the slope intercept form of the equation of the line through the given points
Answer:
9) y = -3x - 4
10) y = -1/3x + 14/3
11) y = x - 1
12) y = -7/5x - 18/5
13) y = 3/5x + 9/5
14) y = -2x - 3
Step-by-step explanation:
For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!
How far is `10\%` of a `2,000`-kilometer trip?
A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat
The width of the mat with the given area and length is 7/10 in.
What is the width of the mat?The area of a rectangle is expressed as;
A = l × w
Where l is length and w is width.
Given the data in the question;
Area A = 7/12 in²Length l = 5/6 inWidth w = ?We plug our given values into the above equation and solve for w.
A = l × w
7/12 = 5/6 × w
w = 7/12 ÷ 5/6
w = 7/12 ÷ 6/5
w = 42/60
w = 7/10 in
Therefore, the width of the mat with the given area and length is 7/10 in.
Learn more about area of rectangle here: https://brainly.com/question/20693059
#SPJ1
Find the slope of the line.
please help
will mark brainlyest
Answer:
m = 1
Step-by-step explanation:
slope = (y₂-y₁)/(x₂-x₁)
m = (4 - -1) / 1 - -4) = 5/5 = 1
Is the following table proportional or non-proportional?
Answer:
proportional
Step-by-step explanation:
y= -7x
SOLVE FOR X. pls i need help
Plz help! I really need this!
Answer:
x=16
Step-by-step explanation:
the remaining angle for thw triangle is found by subtracting the already shown angles from 180 (the angle some of a triangle) which happens to be 96 to get 84 but now you need to subtract 84 from 180 to find the angle on the other side of line because lines have a total angle measurement of 180 but we already kbow what this get's us because it's 96 now we devide 96 by 6 to get 16 our answer.
the area of the figure
Find the value of x. 1) m angle2=3x-6 120° 2 B) 10 D) 6 A) 12 C) -11
Guys help me please ,how to solve it? i need a solution
Answer:
well, x = 5
Step-by-step explanation:
here,
EB Is parallel to DC , so
Angle AEB = Angle ADE
( because they are corresponding angle pair )
Angle ABE = Angle ACD
( because they are corresponding angle pair )
triangle ADC Is similar to triangle AEB
(By AA similarity criteria )
hence AE / ED = AB / BC ( by CPCT )
so 24/10 = 12/x
=》 24/12= 10/x
=》 x = 5
okay i hope u got it
These are so annoying
Answer:
a=4
b=6
perimiter=38
Step-by-step explanation:
you take the side lengths by it and you can subtract and stuff then you add them all up to find the perimeter
Answer:
3-9=6 and 6-10=4
Step-by-step explanation
part of b is cut by 3 as u can see above and 9 is at the bottom on which the part is cut, as for the other one 10 is the main line and is cut by 6. so u just have minus the main line aka the long line by a parallel line next to it
Find (12y + 20y2 – 2) + (-13y2 + y - 10). Write your answer in
standard form.
Answer:
7y²+13y-12
Step-by-step explanation:
20y²+12y-2-13y²+y-10
7y²+13y-12
The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):
Answer:
Zeros → (-2, 0) and (4, 0)
Step-by-step explanation:
Equation of the graph has been given as,
y = [tex]\frac{1}{2}x^{2} -x-4[/tex]
For zeros of the function,
y = 0
Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]
By solving the equation algebraically,
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x = -2, 4
Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).
Let's confirm the zeros (x-intercepts) from the graph attached,
Coordinates of the x-intercepts are,
(-2, 0) and (4, 0)
3x-2y=1x+4y=33 elimination process
Answer:
x = 5 ; y = 7
Step-by-step explanation:
3x - 2y = 1 --------------------(I)
x + 4y = 33 ------------(II)
Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y
(I) 3x - 2y = 1
(II)*(-3) -3x -12y = -99 {Now add}
- 14y = -98
y = -98/14
y = 7
Plugin y = 7 in equation (I)
3x - 2*7 = 1
3x - 14 = 1
3x = 1 + 14
3x = 15
x = 15/3
x = 5
Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?
Answer:
It's %9.0.
Step-by-step explanation: