Answer:
rate of the current = 2 km/hr
Step-by-step explanation:
d = rt
Let c = rate of the current
Rate of boat downstream = 10 + c
Time going downstream = 24/(10 + c)
Rate of boat upstream = 10 - c
Time going upstream = 24/(10 - c)
Since the total time is 5 hr, then
24/(10 + c) + 24/(10 - c) = 5
24(10 - c) + 24(10 + c) = 5(10 + c)(10 - c)
240 - 24c + 240 + 24c = 500 - 5c^2
480 = 500 - 5c^2
5c^2 = 20
c^2 = 4
c = 2 or -2
Since a rate cannot be negative, the rate of the current = 2 km/hr
solve the system using substitution x=-4y y=2x+9
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
The expression 52 - 4 of (17 - 12) + 4 × 7 is equal to
70
60
50
48
Answer:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Step-by-step explanation:
Given expression;
52 - 4 of (17 - 12) + 4 × 7
Find:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7
Computation:
52 - 4 of (17 - 12) + 4 × 7
Using BODMAS rule;
52 - 4 of (17 - 12) + 4 × 7
52 - 4(17 - 12) + 4 × 7
52 - 4(5) + 28
52 - 20 + 28
80 - 20
60
So,
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
The number of watermelon seeds in the original watermelon is 500. The second watermelon has 5% more. How many seeds are in the second watermelon?
Answer:
s
Step-by-step explanation:
500seeds+25seeds=525seeds
Answer:
520 watermelon
Step-by-step explanation:
hope you have a good day good luck hope you will understand too
Write the expression 5^2/3 without using exponents
The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.
Whole numbers, exponents and fractionsWhole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.
The expression 5²/3 having an exponent can be rewritten as follows:
5²/3 = (5 × 5)/3
5²/3 = 25/3
Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.
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what is the area of the triangle
Answer:
90units²
Step-by-step explanation:
area of a triangle= ½base *height
area = ½*12*15
area= 90units²
Find the value of x.
6
14
3x-12
21
x = [?]
GIVING BRAINIEST to who ever answers hurry
Answer:
x=10
Step-by-step explanation:
50+x=6x
-x -x
50=5x
/5 /5
x=10
This Inflatable Crayon has a diameter of 8 in a length of 40 inches and is topped with a cone shaped tip with a height of 12 inches Round your answer to the nearest tenth of an inch.
Answer:
Assuming you want to know the volume,
volume = 2210.6 in³
Step-by-step explanation:
radius = diameter/2 = 8/2 = 4 in
area of base = πr² = (3.14)(4²) = 50.24 in²
volume of tube portion = base area x height = 50.24 x 40 = 2009.6 in³
cone volume = 1/3bh = 1/3(50.24)(12) = 200.96 in³
total volume = 2009.6 + 200.96 = 2210.56 in³
What are the mean,median and range for the monthly sales of the product?
Answer:
Option D
Step-by-step explanation:
mean=(∑x/N)=(1100+5000+2000+10100+8000/6)
=(34200/6)=$5700
________________-
median: =>
$1100,$2000,$5000,$8000,$8000,$10100
==>(5000+8000/2)=$6500
_______________
Range=maximum-minimum=10100-1100
==>$9000
so your answer is Option D
hope it helps...
have a great day!!
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
anyone help me pls:
1/9 - 3/4
Answer:
- 23/36
Step-by-step explanation:
Make sure both fractions of the denominators are the same.
1 x 4 = 4
9 x 4 = 36
3 x 9 = 27
4 x 9 = 36
Final: 4/36 - 27/36 = - 23/36
a farmer hires 110 workers to harvest apples from his trees.it takes the 12 days to harvest the farmers entire crop.how long does it take for 440 farmers to harvest the crop
Answer:
110 = 12
110 + 110 + 110 + 110 = 440
so 110 × 4 = 440
4 × 12 = 48 days
hope this helps
PLEASE ANSWER QUICKLY THX!!!!!!!!!!!!!!!!!!
Answer:
w² - 2w + 4
Step-by-step explanation:
(w² - 4w + 14) - (2w + 10) = w² - 2w + 4
Nevaeh is a cruise specialist and earned $486 commission after booking a cruise that cost $5,400. What is her rate (in %) of commission?
a clothing distributor sold an $80 coat at a discount price of $73. what was the percentage of discount for the coat?
Answer:
91%
Step-by-step explanation:
The discount is $73 so we would get 73/80.
73/80 is also known as 73÷80
which would equal 0.9125
if we were to covert and round it to a percent, it would be 91%
What’s the answer for 18 and 19?
Answer:
18. 3,0 19. 0,5
Step-by-step explanation:
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
Help pls I need it someone
Answer:
search up demos graphing calculator and plug in the numbers there.
Step-by-step explanation:
its super easy to use try it :)
372.3 in expanded notation
Answer: Expanded Notation Form:
300 + 70 + 2 + 0.3= 372.3
Step-by-step explanation:
if you invest $1,600 at 5.35% for 18 months how much simple interest is earned
Answer:
Step-by-step explanation:
Answer:
1540.8
Step-by-step explanation:
i=prt
i= 1600(.0535)(18)
i=1540.8
also i is equal to interest, p is equal to principal, r is equal to rate and t is equal to time.
Twenty more than four times a number is equal to the difference between −71 and three times the number. Find the number.
4x + 20 = - 71 - ( 3x )
4x + 20 = - 3x - 71
Subtract sides minus 20
4x + 20 - 20 = - 3x - 71 - 20
4x = - 3x - 91
Add sides 3x
4x + 3x = - 3x + 3x - 91
7x = - 91
Divide sides by 7
7x / 7 = - 91 / 7
Simplification
x = - 13
Thus the number is ( - 13 ) .
Give one word for the following.
To find the way, carefully and safely
GPS.....................GPS..............................................................................................
Workout the probability that spinner A lands on 2 and spinner b does not land on b
Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem
Answer:
4 / 15
Step-by-step explanation:
For the numbered spinner :
P(landing on 2) = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3) = 3
Required outcome = (1) = 1
P(landing on 2) = 1 /3
Lettered spinner :
P(does not land on b)
Total possible outcomes = (A, B, C, D, E)
Required outcome = (a, c, d, e)
P(does not land on b) = 4 / 5
Hence,
P(lands on 2, does not land on b) in this scenario is :
1/3 * 4/5 = 4 / 15
Mathematical Literacy , What does a basic fee mean?
Answer:
Basic Fee means the compensation provided to Construction Manager for providing Basic Services. ＋ New List. Basic Fee means the compensation provided to Pre-Construction Contractor for providing Basic Services.Step-by-step explanation:
PLLLSS HELP MMEE FAASSTT
In a triangle, two of the angles are 45 degrees and 70 degrees. What is the measure of
the third angle in this triangle? Explain how you got your answer.
*Use the term TRIANGLE SUM THEOREM in your explanation.
Answer:
65
Step-by-step explanation:
the sum of interior angles in a triangle equal to 180°
so 45+70=115
180-115=65
Hwhhehehebehehehejensnsnsnsnsne
Answer:
djdmfkdkdjdj
Step-by-step explanation:
jfjffmfkdnfjdjdndkd
select all expression that are equivalent to 64 2/3.
Answer:
Option B and DStep-by-step explanation:
As,
[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]
plsss help with this question pls with whole procedure pls help
i hope this helps.......
I
4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?
The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
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Select all names that apply to this figure
Answer:
Quadrilateral and Parallelogram. There is not enough information given to determine the rest of the shapes.