Answer:
The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
Step-by-step explanation:
Let u be the rate of the motorboat in still water (in kilometers per hour),
let v be the rate of the current.
Then the rate of the motorboat going downstream is u+v km/h,
while its rate going upstream is u-v km/h.
From the other side, the rate of the motorboat going downstream is 150/3=50km/h = 30 km/h.
Thus you have these two equations
u + v = 50 (1) (for the rate downstream), and
u - v = 30 (2) (for the rate upstream).
To solve the system, add equations (1) and (2). You will get
2u = 50 + 30 = 80; hence,
u = 80/2 = 40 km/h.
Then from the equation (1), v = 50 - u = 50 - 40 = 10 km/h.
ANSWER. The the rate of the motorboat in still water is 40 km/h; the rate of the current is 10 km/h.
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26500 kilograms. Other shipments weighing 5300 kilograms have already been loaded into the container. Which inequality can be used to determine c, the greatest number of 100-kilogram crates that can be loaded onto the shipping container? Submit Answer 100c + 5300 26500 1000 + 5300 < 26500 26500 > 100(5300 + c) 26500 < 100(5300 + c)
Answer:100c+5300<26500
Step-by-step explanation:
We are required to find the greatest number of 100-kilogram crates that can be loaded onto the shipping container
The the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 212 crates
Greatest weight that can be loaded = 26500 kilograms
Weight of each crate = 100 kilogram
Weight of other shipment = 5300 kilograms
let
c = the greatest number of 100-kilogram crates that can be loaded
The inequality is
26500 ≥ 5300 + 100c
26500 - 5300 ≥ 100c
21200 ≥ 100c
c ≥ 21200 / 100
c ≥ 212
https://brainly.com/question/20898112
HURRY PLEASE ANSWER!
Answer:
[tex]\mathbf{\beta=140\ dB}[/tex]
Step-by-step explanation:
The Logarithm Function
The sound level is usually calculated as a logarithm by the formula:
[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]
Where
I = Sound intensity in W/square meter
Io = Smallest sound intensity that can be heard.
[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]
The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:
[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]
[tex]\displaystyle \beta=10*14[/tex]
[tex]\mathbf{\beta=140\ dB}[/tex]
Marlena bought 1 2/3 pounds of French Roast coffee and 3 1/8 pounds of Columbian coffee and paid $31.25. Rowen bought 2 5/12 cups of French Roast coffee and 9/16 pounds of Columbian coffee and paid $15.15. Find the cost per pound of each type of coffee.
Answer:
$4.50 for French Roast
$7.60 for Columbian
Step-by-step explanation:
tried substitution and elimination method but got different answers to I graphed these equations and found the point of intersection
5/3x + 25/8y = 31.25
29/12x + 9/16y = 15.15
point of intersection (4.5, 7.6)
Answer:
Step-by-step explanation:
Thus Markus buy 3.19 pounds of coffee altogether.
Thursday night, Larry goes to the local game shop. He purchases three new video games for $15.99 each. If the sales tax is 4.5%, how much does he spend?
Answer:
15.99 X 3 = 47.97
47.97/100 X 104.5 = 50.12865
$50.13
HELPPPPPPPP ☝️☝️☝️!!!!!!!
Answer:
10x=y
Step-by-step explanation:
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!!
A.) SU = 22 cm
B.) SU > 22 cm
C.) There is not enough information to determine the relative length.
D.) SU < 22 cm
Answer:
SU < 22 cm
Step-by-step explanation:
what does arithmetic and algebra use the same
it is in the picture
Answer:
C.x+8=3x
hope it helps.
I NEED HELP ASAP!!!!!!!!!!!!!!!
Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left after he spent $25 on dues.
Answer:
$17
Step-by-step explanation:
This is simply stated as a function.
We can rewrite this problem out as --> f(d) = -d + 42
If we simply say that he spent d, the problem states that d is equivalent to 25.
So the function looks like this --> f(d) = -25 + 42
Therefore your answer becomes --> f(d) = 17
Calculate the area of a sector of a circle that subtends an angle of 45° at the center of the circle, radius 14cm
a) 11cm² b) 77cm²
c) 25cm² d) 56cm²
Calculate the area of the full circle:
Area = PI x r^2
Area = 3.14 x 14^2 = 615.44 sq. cm
45 degrees is 1/8 of a circle, multiple the area of the circle by 1/8
615.44 x 1/8 = 76.93, round to 77 cm^2
The answer is B. 77 cm^2
Find the equation of the line passing through (1,4) and (-2,-1).
Answer:
y=5/3x+7/3
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
Explain why the measure of angle 2 is greater than the measure of angle 3
Answer: number 2 is a obtuse angle and number 3 is a right angle
at basketball camp kylie made 18% of her free throws based on this information which is the best prediction of the number of free throws she will make out of 50 attempts
Answer:
Number of free throws = 9
Step-by-step explanation:
Given that:
Kylie made 18% of her free throws.
Number of attempts = 50
Based on the information, she will make out 18% free throws.
Number of free throws = 18% of 50
Number of free throws = [tex]\frac{18}{100}*50[/tex]
Number of free throws = 0.18 * 50
Number of free throws = 9
Hence,
Number of free throws = 9
Write an expression!!! Answer needed ASAP!! Pls only answer if you know how to do it and if u know the answer. Will mark brainliest!!!
Answer:
-10 ÷ -2/5
Step-by-step explanation:
-10 ÷ -2/5 is the same as -10 · -5/2 = 50/2 or 25
what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?
What is the length of the altitude of the equilateral triangle below?
Answer:
Step-by-step explanation:
It would be helpful if you could share the diagram of the equilateral triangle.
All 3 sides are equal, as are all 3 angles.
The altitude is perpendicular to the base. The altitude, h, is equal to
h = s*( (√3) / 2, where s is the length of one side of the triangle.
Hi, please help me
c - 4d =
C= 10
D=2
It's algebra
Answer:
All you do is replace the variable with the numbers given to replace them.
So your new equation is 10-4(2) this was given to you C=10 , D=2
Okay, let's solve it 10-4(2)
4*2 equals 8 so now it's 10-8
10-8
= 2
Help I need help!!!! Please
Find the measure of each numbered angle in the rhombus. 1 5 2/3 4
Answer:
...
.
.....
..»»!»»»
„„‚„„
:-))
What is the measure of ∠J?
Answer:
6 cm
Step-by-step explanation:
The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.
Answer:
39
Step-by-step explanation:
Since the first measure is 39 that means the second is 39 because its the same.
25
21
22
14
15
16
17
Overview
Suomt Ang
Question Progress
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Expand and simplify 4(2x - 1) + 3(2x + 5)
F
AB
Type here to search
Step-by-step explanation:
4(2x-1)+3(2x+5)
8x-4+6x+15
8x+6x-4+15
14x+11
Answer:
14x +11
Step-by-step explanation:
4(2x-1)+3(2x+5)=8x-4+6x+15
=14x+11
Math homework plz help
Answer:
19
Step-by-step explanation:
38/2=19
Answer:
r = 19
Step-by-step explanation:
2r = 38 (Given)
r = 19 (Divide by 2 on both sides)
The equation a= 13 25p models the relationship between the pounds of topsoil and the area covered in square feet. Determine the pounds of topsoil Caleb needs to order to cover an area of 169one hundred sixty nine square feet.
Answer:
Pounds of topsoil needs to order to cover an area of 169 square feet is 0.1275
Step-by-step explanation:
GIVEN: relation between the pounds of topsoil and area covered is ( a = 1325 p )
a represent area and b represent pounds of topsoil
To Find : pounds of topsoil needs to order to cover given area .
Solution : since here relation is given
a = 1325 p
value of a = 169 square feet
so putting the value of a in above relation
so , 169 = 1325 p
p = 169 / 1325 = 0.1275
So , pounds of topsoil needs to order to cover given area is 0.1275
Answer:
0.1275
Step-by-step explanation:
Hope this helps
A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
1. Water vapor given off by water, plants, and animals is called ?
A. evaporation
B. precipitation
C. condensation
D. runoff
Answer:
evaportation
Step-by-step explanation:
The vapor given off by water, plants, and animals is called evaporation.
What is evaporation?Evaporation is a type of vaporization that occurs on the surface of a liquid as it changes into the gas phase. High concentration of the evaporating substance in the surrounding gas significantly slows down evaporation, such as when humidity affects rate of evaporation of water.Given is to find what does the water vapor given off by water, plants, and animals is called.
Evaporation is defined as the conversion of water into water vapour (into gas phase) and its release into the atmosphere. Similarly, the Water vapor given off by water, plants, and animals is called evaporation.
Therefore, the vapor given off by water, plants, and animals is called evaporation.
To solve more questions on evaporation, visit the link below -
https://brainly.com/question/320765
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What is the y-intercept of the equation y=3/2x+6?
Answer:
(0, 6)
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3/2x + 6
Step 2: Break Function
Identify Parts
Slope m = 3/2
y-intercept b = 6
50 points! No wrong answers please! Will mark brainliest :)
Answer:
I'm pretty sure it's the 1 or tha last one
Answer:
[tex]y=\frac{1}{4}x-1[/tex]
Step-by-step explanation:
Parallel lines always have equal slopes. Therefore, this eliminates two options and we just need to find the y-intercept. Since the line passes through [tex](-4,-2)[/tex], we have:
[tex]-2=\frac{1}{4}(-4)+b,\\b=-1[/tex].
Therefore, the equation of the line is:
[tex]y=\frac{1}{4}x-1[/tex]
which equation matches this graph?
Answer: I'm pretty sure it's the second one.
Step-by-step explanation:
Sorry if it's not right I tried my best.