Answer:
The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h
Step-by-step explanation:
System of Equations
Let's call:
B = speed (rate) of the boat in still water
S = speed (rate) of the stream
The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:
[tex]\displaystyle B-S=\frac{172}{3}[/tex]
Multiplying by 3:
3B - 3S = 172 [1]
The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:
[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]
B + S = 93
Solving for B:
B = 93 - S [2]
Substituting in [1]
3(93 - S) - 3S = 172
Operating:
279 - 3S - 3S = 172
279 - 6S = 172
Subtracting 279:
- 6S = 172 - 279
- 6S = -107
Multiplying by -1 and solving for S:
[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]
From [2]:
[tex]B = 93 - \frac{107}{6}[/tex]
[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]
need a quick answer please
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answer:
172.8
Step-by-step explanation:
Answer:
172.8
Step-by-step explanation: Dont Trust Me But Its Right B)
(2x - 9) (x + 4) = 0
What the answer
Answer:
x = 4.5 AND x = -4
Step-by-step explanation:
for the first answer
add 9 to 0 and divide by 2
for the second answer
subtract 4
Answer:
x = 9/2 and x = -4
Step-by-step explanation:
you can set each expression in the parenthesis' equal to zero. this is due to it being multiplication so if one parenthesis equals 0, the answer will be 0
2x - 9 = 0 and x + 4 = 0
starting with 2x-9=0
add 9 to both sides
2x = 9
divide by 2
x = 9/2
then do x + 4 = 0
subtract 4
x = -4
so your two answers are
x = 9/2 and x = -4
52,428 divided by 34
Answer:
1542
Step-by-step explanation:
X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;
Answer: power of a power
Step-by-step explanation:
in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power
What is valué of the x-coordínate that is 9 units to the left (5,-8)
Answer: -4
Step-by-step explanation:
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? m 4 m ][xz – xı) + x, -4 -2 2 4
Answer:
2
Step-by-step explanation:
im sure its 2 i hope this helps
I need help in geometry urgently!!!
Answer:
x = 6
Step-by-step explanation:
According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.
Using the exterior angle property ,
[tex]17x - 23 = 3x + 17 + 8x - 4[/tex]
[tex] = > 17x - 23 = 11x + 13[/tex]
[tex] = > 17x - 13x = 23 + 13[/tex]
[tex] = > 6x = 36[/tex]
[tex] = > x = \frac{36}{6} = 6[/tex]
Find the slope of the graph below* Help me out ty
Answer:
-1
Step-by-step explanation:
When the line is slanting down it means its negative.
Find the inverse of function f.
$() = 9x + 7
OA /--) = 7x + 9
OB. 1 (1) = = -1
Oc. 7-1() = -98
OD. () = gr - 1
7
Answer:
C) f-1(x) = -9x - 7 the inverse of multiplication is division
What is the solution for x in the equation?
29 + 15x = -x − 3
A. x= 1/2
B. x= -1/2
C. x= 2
D. x= -2
Answer:
x=-2
Step-by-step explanation:
For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers
Answer: Um ok? What are the measurements of the original batches...
Step-by-step explanation:
What is the area of the football field in the scale drawing? Assume that the field is shaped like a rectangle.
Answer:
i mean might as well get free points now that its 2 weeks old
Step-by-step explanation:
Answer:
Pythagorean Theorem: the diagonal of the football field is the hypotenuse. Let´s say the diagonal is C and the two other sides are A and B.
Width = A
Length = B
Diagonal = C
so: a2+b2=c
2502+1002=c2
2500+10000=c2
12500=c2
c=√12500
c=111.80 yards
Step-by-step explanation:
the ambitous jackle
Someone plz help T^T
Answer:
No
Step-by-step explanation:
parallel means they do not touch.
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
A. y= 3x + 1
B. y= x-3
C. y= 2x + 5
D. y= 2x-5
° ♡ ₒ ♡ °
thank you!
Solve the inequality and enter your solution as an inequality comparing a variable to a number x+9>13
Answer:
x>4
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
x+9−9>13−9
x>4
Find 20% 0f 80.
using double number line
Answer:
100% - 80
---------------------
20% - x
[tex]100x=80*20\\100x=1600\\x=\frac{1600}{100}\\x=16[/tex]
19. What percent of offspring will be blue eyed?
0%
25%
50%
100%
Answer:
25%
Step-by-step explanation:
?? anyone know thank you
Answer:
19/20 is the correct answer
Answer:
19/20 quart
Step-by-step explanation:
the denominator should be the same so find some thing that is common to 4 and 5 so 20 and find what 4 in to 20 go 5 times so multiply 5×3=15 and 4×1=4 so add them together 15+4 = 19 so put 19 and 20 together equal 19/20
What is the range of the cluster in the scatter plot?
A: Between 4 and 8 years of experience
B: Between 6 and 12 years of experience
C: Between $10,000 and $60,000
D: Between $40,000 and $60,000
Answer:
b
Step-by-step explanation:
I want to know how to expand x(4 - 3.4y)
Answer:
X(4-3.4y)
= 4x - 3.4xy
Step-by-step explanation:
use, or to compare the following numbers. -2 or 12 <>
Answer:
-2 < 12
Step-by-step explanation:
12 is bigger than -2.
i need help
with this
Answer:
Step-by-step explanation:
x=√3, y= 3
PQR with P(3, 6), 2-6, 6), R(0, 9); (x, y) = (x-3, y + 7)
оа
Ob
P'(0, 13), O'(-9, 13), R'(-3, 16)
P'(10,3), Q'(1,3), R' (7, 6)
P'(3, 7), e'(-6, 7), R' (0,7)
P'(-3, 13), e' (3, 13), R'(-3, 16)
Answer:
We have the answer as:
P'(0, 13), O'(-9, 13), R'(-3, 16)
Step-by-step explanation:
Here, we want to find the coordinates of the image after applying the transformation rule to the pre-image
what the transformation rule is saying is that we subtract 3 from the x-coordinate and add 7 to the y-coordinate
mathematically, we have these as follows;
P’ = (3-3, 6 + 7) = (0,13)
Q’ = (-6-3, 6 + 7) = (-9,13)
R’ ( 0-3, 9 + 7) = (-3, 16)
-1/6 x -3/5 the answer has to be a fraction
The product of -1/6 x -3/5 = 1/10
The given expression is,
-1/6 x -3/5
In mathematics, a fraction is defined as a portion of the total. If a pizza is cut into four equal pieces, each slice is represented by 14. Fractions make it easier to distribute and assess numbers and speed up calculations. The depiction of fractions appears easier without the use of decimal values.
Now proceed the product,
Multiply numerator with numerator and denominator with denominator,
Therefore,
-1/6 x -3/5 = -1x(-3)/6x5
= 3/30
= 1/10
Hence,
-1/6 x -3/5 = 1/10
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
Brainliest to RIGHT answer
Answer:
Calculate the slope Take two points So 3x is the slope 0=3(-2)+b b = 6 y=mx+by=3x+6 Give brainlistThe boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
decisions are worth 4 points. Write an equation to represent this situation.
Answer:
6p + 4d = 36
Step-by-step explanation:
If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.
Hope this helps!
A rectangular prism has a length of 10in, a height of 15in, and a width of 8in. What is its volume, in cubic in?
Answer:
1200 inc^3
Length x width x height
10 x 8 x 15= 1200
