What’s is the product of 1/4 times (5.6)

Answers

Answer 1
Answer:

Answer:

1.4

Step-by-step explanation:

1/4 x 5.6 = 1.4

or

14/10 = 1 4/10 = 1 2/5


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Given the following m(x)=5x-3​

Solve the inequality |6x + 2| < 10 and graph its solution.

Answers

This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3

Second part: when (6x + 2) is negative.

-(6x + 2) < 10   Divide both sides of inequality by -1 and change the sign.

  (6x + 2) > -10
   6x + 2 > -10
   6x > -10 - 2
   6x > -12        Divide both sides by 6.
     x > -12/6
     x > -2.

Combined solution:   x < 4/3  and x > -2

  -2 < x < 4/3.

Graph is a line on the number line between -2 and 4/3.  
 
-2 and 4/3 are excluded from solution.

The ages of two sisters are 11 years and 14 years.In how many years time will the product of their age be 304?

Answers

x - the number of years in which the product of their ages will be 304
In x years one sister will be 11+x years old, and the other sister will be 14+x years old.

(11+x)(14+x)=304 \n154+11x+14x+x^2=304 \nx^2+25x+154=304 \nx^2+25x-150=0 \nx^2-5x+30x-150=0 \nx(x-5)+30(x-5)=0 \n(x+30)(x-5)=0 \nx+30=0 \ \lor \ x-5=0 \nx=-30 \ \lor \ x=5

The number of years must be a positive number, so x=5.

The product of their ages will be 304 in 5 years.

Need help asap will mark brainliest

Answers

Answer:

1725 ft²

Step-by-step explanation:

(50+65)/(2) *30 = (115)/(2) *30= 57.5*30 = 1725

Answer:

1,950 ft

Step-by-step explanation:

it is a compound shape, thus it is made up of a square and a triangle

you can find the area of the square by 30 x 50 and the area of the triangle by 30 as the height and 65 - 50 as the base, and when you add it together you get 1,950

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometres per hour and then rode from the beach to the park at a constant speed of 15 kilometres per hour. The total duration of the rides was 1 hour and the distances she rode in each direction are equal. Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park.

Which system of equations represents this situation?

Answers

Answer:

I'm sorry but I don't see any equations

Step-by-step explanation:

An item is priced at $13.37. If the sales tax is 4%, what does the item cost including sales tax?A. $13.90
B. $0.53
C. $18.72
D. $27.27

Answers

4% = 0.04

$13.37x0.04= $0.53

13.37=0.53= $13.90

the answer is A.

During the 2017 Major League Baseball season the Cleveland Indians played 162 games. They won 42 games more than they lost. What was the team's win-loss record that year?

Answers

Answer: The team's win-loss record that year is 1.7

Step-by-step explanation:

During the 2017 Major League Baseball season the Cleveland Indians played 162 games.

Let x = the number of games that the

Cleveland Indians lost during the 2017 Major League Baseball season.

This means that the number of games that the Cleveland Indians won during the 2017 Major League Baseball season would be x + 42.

Total number of games played = sum of games won + sum of games lost. This is expressed as

162 = x + 42 + x

2x + 42 = 162

2x = 162-42 = 120

x = 120/2 = 60

Number of games that the Cleveland Indians lost during the 2017 Major League Baseball season is 60

The number of games that the Cleveland Indians won during the 2017 Major League Baseball season is 60 + 42 = 102

The team's win-loss record that year

would be wins/loses

= 102/60 = 1.7