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DaniilM [7]
3 years ago
14

It takes a boat 4 hours to travel downstream 84 miles and 5 hours to travel up stream 55 miles. What is the speed to the boat in

still water ? Mph what is the speed of the current ? Mph
Mathematics
1 answer:
Olegator [25]3 years ago
7 0

Answer:

16 MPH boat speed still water

5 MPH current speed


Step-by-step explanation:

84/4 - x = 55/5 + x

x = (84/4-55/5)/2 = 5 mph current speed in MPH

11+5 = 16 is boat speed in MPH

21 MPH downstream, 11 MPH upstream

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Rashad has 24 jolly ranchers and 56 blow pops. what is the largest number of snack bags he could make?
mixas84 [53]

To find out the largest number of snack bags that Rashad could make, we need to find the GCF of 24 and 56

Because,

GCF of 24 and 56 is the largest possible number that divides 24 and 56 exactly without any remainder. The factors of 24 and 56 are 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 4, 7, 8, 14, 28, 56 respectively.

There are 3 commonly used methods to find the GCF of 24 and 56 - long division, Euclidean algorithm, and prime factorization.

By Prime factorisation :

Prime factorization of 24 and 56 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 7) respectively.

As visible, 24 and 56 have common prime factors. Hence, the GCF of 24 and 56 is 2 × 2 × 2 = 8.

By Euclidean algorithm :

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y) where X > Y and mod is the modulo operator.

Here X = 56 and Y = 24

  • GCF(56, 24) = GCF(24, 56 mod 24) = GCF(24, 8)
  • GCF(24, 8) = GCF(8, 24 mod 8) = GCF(8, 0)
  • GCF(8, 0) = 8 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 24 and 56 is 8.

By Long division :

GCF of 24 and 56 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

  • Step 1: Divide 56 (larger number) by 24 (smaller number).
  • Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (24) by the remainder (8).
  • Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (8) is the GCF of 24 and 56.

Hence,

Hence,Rashad can make 8 snack bags

Learn more about GCF at : brainly.com/question/11444998

#SPJ4

8 0
1 year ago
A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 +
cestrela7 [59]

The <em><u>correct answer</u></em> is:

A(r(t))=\pi(0.25+2t+4t^2)

Explanation:

To write a composite function, we apply one function to another given function. In this case, we want to find area in terms of time; this means that the function A(r) gets applied to the function r(t).

In order to do this, we replace r with r(t). We already know that r(t)=0.5+2t; this means we replace r with 0.5+2t:

A(r(t))=π(0.5+2t)²

To simplify this, we simplify the squared term:

A(r(t)) = π(0.5+2t)(0.5+2t)

A(r(t)) = π(0.5*0.5+0.5*2t+2t*0.5+2t*2t)

A(r(t)) = π(0.25+t+t+4t²)

A(r(t)) = π(0.25+2t+4t²)

5 0
3 years ago
Read 2 more answers
I need help solving this problem
Elena L [17]
Use the given values in the compound interest formula to solve for time, n.

A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.

2800 = 1900(1 + 0.025)^n

2800 = 1900(1.025)^n

2800/1900 = (1.025)^n

28/19 = (1.025)^n

take the natural log of both sides to solve for exponent.

ln(28/19) = ln(1.025^n)

power rule of logarithmic moves exponent

ln(28/19) = n*ln(1.025)

ln(28/19) / ln(1.025) = n

put into a calculator

15.7 years = n
4 0
3 years ago
NEED HELP ASAP !! MARKIN BRAINIEST !!<br><br> btw the choices for all of em are is not or is
yulyashka [42]

answers are

is

is not

is

is not

8 0
3 years ago
30. Felipe va a hacer un banderín para su equipo de fútbol, con las medidas que se indican en la figura. ¿Cuánta tela ocupará pa
blagie [28]

Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.

<h3>¿Que area tiene el banderin?</h3>

Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.

Recordar que para un triangulo de base b y altura h, el area es:

A = b*h/2

Entonces el area del banderín va a ser:

A = (31cm)*(60cm)/2 = 930cm^2

Entonces la opción correcta es A.

Sí quieres aprender más sobre triangulos, puedes leer:

brainly.com/question/2217700

8 0
2 years ago
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