Solve for x: 5x + 2 = 4x − 9

A kayaker traveled 4 5/6 miles during the first hour, and 1 1/3 miles more then the next hour. How far did he travel in 2 hours

ss7ja [257]

Answer:

11 miles

Step-by-step explanation:

Given that :

Distance traveled in first hour = 4 5/6 miles

Distance traveled in the next hour = 4 5/6 + 1 1/3

Therefore, the total distance traveled in 2 hours equals :

4 5/6 miles + (4 5/6 miles + 1 1/3 miles)

29/6 + 29/6 + 4/3

L. C. M of denominator = 6

(29 + 29 + 8) / 6

= 66 / 6 miles

= 11 miles

Distance traveled in 2 hours =. 11 miles

8 0

3 years ago

I need someone to check my answer to see if it's correct.

Alchen [17]

Your answer is wrong, the real answer is y=64

6 0

3 years ago

5. A survey of student pizza preferences showed that 43 students preferred cheese, 56 preferred sausage, 39 preferred pepperoni,

cestrela7 [59]

Answer:

P (Cheese) = 0.199, P (Sausage) = 0.259, P (Pepperoni) = 0.181,

P (Supreme) = 0.130, P (Another Kind) = 0.144

and P (Does not like any kind) = 0.088

Step-by-step explanation:

Given:

Number of students who prefer cheese = 43

Number of students who prefer sausage = 56

Number of students who prefer pepperoni = 39

Number of students who prefer supreme = 28

Number of students who prefer another kind = 31

Number of students who did not like any kind = 19

∴ The total number of students surveyed = $43+56+39+28+31+19=216$ The number of students who prefer pizza = $43+56+39+28+31=197$

The probability that a students likes pizza is,

$P(Student\ likes\ pizza)=\frac{No.\ of\ students\ who\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{197}{216} \\=0.912$

The probability that a students does not likes pizza is,

$P(Student\ does\ not\ likes\ pizza)=\frac{No.\ of\ students\ who\ does\ not\ prefer\ pizza}{Total\ no.\ of\ students\ surveyed}$

$=\frac{19}{216} \\=0.088$

The probability distribution of students who prefer different kinds of pizza is:

The probability that a student likes cheese:

$P(A\ Student\ prefers\ cheese)=\frac{No.\ of\ students\ who\ prefer\ cheese}{Total\ no.\ of\ students\ surveyed}$

$=\frac{43}{216}\\=0.199$

The probability that a student likes sausage:

$P(A\ Student\ prefers\ sausage)=\frac{No.\ of\ students\ who\ prefer\ sausage}{Total\ no.\ of\ students\ surveyed}$

$=\frac{56}{216}\\=0.259$

The probability that a student likes pepperoni:

$P(A\ Student\ prefers\ pepperoni)=\frac{No.\ of\ students\ who\ prefer\ pepperoni}{Total\ no.\ of\ students\ surveyed}$

$=\frac{39}{216}\\=0.181$

The probability that a student likes supreme:

$P(A\ Student\ prefers\ supreme)=\frac{No.\ of\ students\ who\ prefer\ supreme}{Total\ no.\ of\ students\ surveyed}$

$=\frac{28}{216}\\=0.130$

The probability that a student likes another kind:

$P(A\ Student\ prefers\ another\ kind)=\frac{No.\ of\ students\ who\ prefer\ another\ kind}{Total\ no.\ of\ students\ surveyed}$

$=\frac{31}{216}\\=0.144$

Thus, the probability distribution table is displayed below:

6 0

3 years ago

19. Find the current in a circuit if the power is 500 W (watts) and the resistance is 25 ohms. Round off your answer to two deci

HACTEHA [7]

Answer:

A

Step-by-step explanation:

The formula that relates current, power and resistance is

$I=\sqrt{\frac{P}{R}}$

Where

I is the current (in amperes)

P is the power (in watts)

R is the resistance (in ohms)

We know P = 500 and R = 25, we plug them into the formula and solve for I:

$I=\sqrt{\frac{P}{R}}\\I=\sqrt{\frac{500}{25}}\\I=\sqrt{20}\\ I=4.47$

Correct answer is 4.47 Amperes, or choice A.

4 0

3 years ago

Pleaaaase i neeed heeeelp

4vir4ik [10]

Answer:

b. (x-3) / (x+1)

c. x/(x+5)

Step-by-step explanation:

b. (x+2)(x-3) / (x+1)(x+2)

c. x(x - 5) / (x + 5 ( x - 5)

= x / x+5

4 0

3 years ago