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3 years ago

Consider the equation: 3(–4n – 9) = 21

Mathematics

2 answers:

earnstyle [38]3 years ago

8 0

Answer:

The answer is Negative Four -4

Step-by-step explanation:

hram777 [196]3 years ago

7 0

Answer: N=-4

Step-by-step explanation:

STEP

Pulling out like terms

2.1 Pull out like factors :

-4n - 9 = -1 • (4n + 9)

Equation at the end of step

-3 • (4n + 9) - 21 = 0

STEP

Pulling out like terms

4.1 Pull out like factors :

-12n - 48 = -12 • (n + 4)

Equation at the end of step

-12 • (n + 4) = 0

STEP

Equations which are never true:

5.1 Solve : -12 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : n+4 = 0

Subtract 4 from both sides of the equation :

n = -4

One solution was found :

n = -4

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What is the probability that a randomly chosen four-digit integer (no leading zeros) has distinct digits and ends with the digit

S_A_V [24]

Answer:

c. 0.0498

Step-by-step explanation:

First of all, let us find the number of four digit numbers possible.

There are 4 digits and let us have a look at the possibility of each digit.

Number of possible options for Unit's digit = 10

Number of possible options for ten's digit = 10

Number of possible options for hundred's digit = 10

Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)

Total number of possible outcomes = $10\times 10\times 10\times 9 = \bold{9000}$

As per the given condition, unit's digit is 7.

So, number of possible options for unit's digit = 1

Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)

Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)

Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)

Number of possible outcomes as per given conditions = $1\times 8\times 8\times 7 = \bold{448}$

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

$P(E) = \dfrac{448}{9000} =\bold{0.0498}$

6 0

3 years ago

mr zuro finds the man height of all 14 students in his statistics class to be 68 inches .just as mr zuro finishes explaining ho

mylen [45]

Add all 15 students' amounts: 14(68 inches), then add 65. Take the sum and divide it by 15 students, to get the mean. The answer is 67.8

6 0

3 years ago

it takes Ryan 1/5 of an hour to bike from home to school. His biking speed is 10 MPH. How long will it take Ryan to get to scho

strojnjashka [21]

Answer:

2 hours

Step-by-step explanation:

1/5 * 10

8 0

2 years ago

Rewrite 85% as a fraction in simplest form and as a decimal

nignag [31]

85 %

85/100 - divide by 5 for the numerator and denominator

85/5= 17

100/5=20

Simplest form : 17/20

As decimal : 0.85 because of 85/100

Answer:

Simplest form : 17/20

As decimal : 0.85

3 0

3 years ago

A bakery bakes 10 cakes per hour & had 3 from the day before. What equation represents this?

likoan [24]

I can give u the answer for numbers 1 and 2

1. y=10x+3

2. TRUE

3.

6 0

3 years ago