The 50 mile distance traveled downstream and back that takes 2 hours and 5 hours respectively gives;
The speed of the boat in still water = 17.5 mphThe river current flows at 7.5 mphHow can the boat speed be calculated?Let v represent the speed of the boat and let u represent the speed of the river current.
Distance the boat travels downstream = 50 miles
Time taken to travel downstream by the boat = 2 hours
Time taken to travel back upstream = 5 hours
[tex]velocity = \frac{distance}{time} [/tex]
Therefore;
Which gives;
[tex]v + u = \frac{50}{2} = 25...(1)[/tex]
v + u = 25[tex]v - u = \frac{50}{5} = 10...(2)[/tex]
v - u = 10Adding equation (1) to equation (2) gives;
(v + u) + (v - u) = 2•v = 25 + 10 = 35
2•v = 35
v = 35 ÷ 2 = 17.5
The speed of the boat, v = 17.5 mphu = 25 - v
Which gives;
u = 25 - 17.5 = 7.5
The speed of the river current, u = 7.5 mph (downstream)Learn more about equations of motion here:
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4 movie tickets cost $35, how many dollars per ticket
Answer:
140
Step-by-step explanation:
35 x 4= 140
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz. If a newborn baby is selected at random. What if the probably that the baby weighs less than 150 Oz? help please!! Also I need to round answer to nearest thousandth
Answer:
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weights of newborn babies are distributed normally, with a mean of approximately 105 Oz and a standard deviation of 15 Oz.
This means that [tex]\mu = 105, \sigma = 15[/tex]
What if the probabability that the baby weighs less than 150 Oz?
This is the pvalue of Z when X = 150. SO
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 105}{15}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.999
0.999 = 99.9% probability that the baby weighs less than 150 Oz.
Please answer fast I need the Answer
Answer:
just do it urself
Step-by-step explanation:
Evaluate m3 + n3 for m = 3, n = 2.
O A. 8
O B. 27
O C. 35
O D. 15
HELP ME PLS :) !!!!!
Answer:
30
Step-by-step explanation:
78-48=30
78-48=30 es la respuesta
2 x 1/2 x 2 1/2 = 2 1/2
Is this correct?
Answer:
Yes
Step-by-step explanation:
2 x 1/2 = 1
1 x 2 1/2 = 2 1/2
Answer:
Yes
Step-by-step explanation:
2 x 1/2= 1
1 x 2 1/2= 2 1/2
1. Given: Angle 2 is 65 degrees.
(a) What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
(b) What is the angle measurement of Angle 7. Explain the angle relationship used and show your work.
(c) What is the angle measurement of Angle 3. Explain the angle relationship used and show your work.
Answer:
Part A. Angle 4 is 115 Part B. angle 7 is 65 Part C angle 3 is 65
Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4 Part B. alternate exterior angle of 2 Part C. corresponding angle of 7
a car travled 20 miles in 0.4 hours. what was the cars speed? Include units of measure.
Answer:5
Step-by-step explanation:∧
speed=distance/timedistance=20 miles
time=0.4
speed=20/0.4
Answer=5
how do I simplify each expression by combining like terms for this problem
-7+13x+2x+8
Answer:
the answer would be 15x+ 1
Step-by-step explanation:
Answer:
1 + 15x
Step-by-step explanation:
-7+13+2x+8 separate the terms
-7+8 = 1
13x + 2x = 15x put them together
1+15x
First to answer gets brainliest
These figures are congruent. What is the measurement? pic below
Answer:
i dont know
Step-by-step explanation:
i neeed help asap please
Answer:
last option.
linear pair
.............
Jim needs to move his firewood from his truck to the woodpile in his house. He estimates that he will move 1/8 of the total wood in 45 minutes. Which unit rate can he use to help him plan how long it will take for him to move all the firewood?
Please explain how you got to answer
Determine the solution to the system of equations
{8x-3y=-11
-4x+2y=6}
And write your solution as an ordered pair.
Help!!
Answer:
no sé pero no se y no se y más no se
The Science Club went on a twoday field trip. The first day the members paid $50 for transportation plus s19 per ticket to the planetarium. The second day they paid $85 for transportation plus s16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for then members of the club. An expression that represents the total cost in dollars for two days for the n mambers Of the club is given by
Answer:
(50+19)+(85+16)
170xn
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answer:
x = 11.8
Step-by-step explanation:
Side a = 11.78983
Side b = 3
Side c = 10
Angle ∠A = 120° = 2.0944 rad = 2/3π
Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad
Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad
The answer for x is 11.8
HURRY
1.3(2x + 4) + 2(3x – 4)
2. Evaluate the expression for x=5
Answer:
According to my evaluations this equation is very petty and most likely has an answer. There are variables and numbers "3x". This part of the equation makes me feel special because 3 is a prime number. It is also mysterious because we dont know for sure what x is. This equation teaches the mathematician the true meaning of life. As it demonstrates the complexity, the information you know for sure and the information that you will learn in the future. The reader will also learn that not all problems can be solved and the ones that can be solved should be solved with varying difficulty. Finally the individual will realize that everyone has their own method to solve problems and go about life. In conclusion, this pretty equation teaches the mathematician about the importance of hard work and acceptance of everyone in their community.
Answer:
8.6x-2.8
Step-by-step explanation:
Also i feel like ik u from school or something.
There was this girl who had the exact last name and first name
Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?
Answer:
80 miles in 4 days.
Step-by-step explanation:
48/12 = 4
4 miles per day
4 × 20 = 80
80 miles in 4 days
guys pls help me pls
Answer:
[tex]77 {m}^{2} [/tex]
Step-by-step explanation:
Given,
Height of the parallelogram = 7m
Base of the parallelogram = 11 m
Therefore, area of the parallelogram = b × h
= 7m × 11m
[tex]77 {m}^{2} (ans)[/tex]
Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?
Answer:
$1200
Step-by-step explanation:
we know that,
I=PTR/100=200*4*3/100=100*4*3=400*3=$1200
Answer:
1,200
Step-by-step explanation:
673. Решите уравнения:
1) x: 5,8 = 365;
3) x: 8,1 = 0,15;
2) x : 8,4 = 2,3;
4) x: 0,22 = 4,9.
Answer:1 ) x: 5.8 = 365
Step-by-step explanation:
x = 365 × 5.8
x = 2117
2117: 5.8 = 365
2) x: 8.4 = 2.3
x = 2.3 × 8.4
x = 19.32
19.32: 8.4 = 2.3
3) x: 8.1 = 0.15
x = 0.15 X 8.1
x = 1.215
1.215: 8.1 = 0.15
4) x: 0.22 = 4.9
x = 4.9 x 0.22
x = 1.078
1.078: 0.22 = 4.9
In a video game, Clare scored 50% more points than Tyler. If Tyler scored 60 points on the video game, how many
points did Clare score?
60
70
80
90
100
Which one
Answer:
90
Step-by-step explanation:
She scored 50% more so scored 1.5x tyler
1.5 * 60 = 90
Answer:
90
Step-by-step explanation:
so for this, all we have to do is add %50 of the first score to the second one, first lets find out what %50 of that score is
%50 of 60 = 30 (because %50 is half of something)
next, we add that new amount to the first score
60 + 30 = 90
so 90 is %50 more then 60, or 90 is %150 of 60
Solve the following triangle
Answer:
69
Step-by-step explanation:
as , 77+x = 146(external angle) , so x = 146 - 77
so x = 69
Answer:
Step-by-step explanation:
hope you'll now how to do it by ur own.
:)
Take ur time i just need a anwser ;w;
Answer:20 people
Step-by-step explanation:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-4,-2);
y = 2.c + 6
y = -32 – 14
Yes
No
O Maybe
Answer:
Yes
(-4,-2) is a solution of a given system of equation
Step-by-step explanation:
Explanation:-
Given that the equation
y = 2 x + 6 ..(i)
Given point (-4,-2)
substitute x =-4 and y = -2 in equation (i)
-2 =2(-4) +6
-2 = -8+6
-2 =-2
∴ The point satisfies the given equation
the standard form of the equation through the points (-2,-2) and (2,-1)
Answer:
y = 1/4x - 3/2
Step-by-step explanation:
for slope, use formula (y2-y1)/(x2-x1):
(-1-(-2))/(2-(-2))
=1/4
use formula y=mx+b for equation:
y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))
-1=1/4(2)+b
-1=1/2+b
-3/2 = b
equation:
y = 1/4x - 3/2
72 paper clips to 63 paper clips
Answer:
72>63
Step-by-step explanation:
what is the rest of the question like in what form
139 invitations to 38 invitations,what is the percent change?
Answer:
Step-by-step explanation:
decrease of 139-38 = 101
101/139 ≅ 0.727 = 72.7%
cinco ejemplos de incremento
Answer:
Ejemplos de incremento matemático que pueden ocurrir son:
-Suma: se adiciona una cantidad adicional a otra previamente existente. Ejemplo: 5 + 2 = 7, donde 5 es la cantidad inicial, y 2 es la cantidad adicional, sumando 7 como cantidad final.
-Multiplicación: aquí se adiciona el mismo número inicial tantas veces como su multiplicador indique. Ejemplo: 5 x 3 = 15, donde el número inicial 5 es sumado 3 veces (5 + 5 + 5) para dar un total de 15.
-Potenciación: en este caso se multiplica el mismo número por sí, por la cantidad de veces que indique el número potenciador. Ejemplo: 7^2, donde 7 es multiplicado por 7 dos veces, es decir, 7 x 7, cuyo resultado es 49.
Así, cinco ejemplos de este tipo de operaciones pueden ser:
6^3 = 216
4x4 = 16
25+90 = 115
77 + 2x8 = 93
88 + 14 = 102
Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.
A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.
What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km
Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]9^{2} = 7^{2} + d^{2}[/tex]
[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]
d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
Answer:
A
Step-by-step explanation: