Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply.

The German Club is planning a ski trip. The club will pay $500 toward the trip, and each member going on the trip will pay $115.

Vedmedyk [2.9K]

500 - y x 115= 2185.

y = 19.

3 0

3 years ago

Sam owes 5 dollars to x friends and $3 to her sister. She owes $23 altogether.

sergey [27]

Answer:

Sam owes 4 friends $5

Step-by-step explanation:

We can set up the equation

23 = 5x + 3

Subtract the 3 from both sides

20 = 5x

x = 4 friends

7 0

3 years ago

Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2.

AleksandrR [38]

Answer:

probability that Caroline buy both CD and fruit = 0.52

Step-by-step explanation:

We have given that the probability of Caroline buys a fruit P = 0.4

So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6

Probability Caroline buys a CD P = 0.2

So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48

So probability that Caroline buy both CD and fruit =1-0.48 = 0.52

7 0

3 years ago

Determine the next step for solving the quadratic equation by completing the square

GaryK [48]

Answer:

The two solutions are: $x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

The next and every step are below.

Explanation:

1. $-3=-2x^2+2x$ : Given (addition property / add - 3 to both sides)

2. $-3 = - 2(x^2-x)$ : Given (commom factor - 2)

3. $-3-1/2=-2(x^2-x+1/4)$

To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

$-7/2=-2(x-1/2)^2$

5. Divide both sides by - 2 to get the next expression:

$-7/4=(x-1/2)^2$

6. The last step is to extract squere root from both sides of the equality:

$(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

8 0

3 years ago

Lucy rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a multiple of 5

Sergio039 [100]

Answer:

(1,4) ( 4,1) (2,3) (3,2)

Step-by-step explanation:

Multiples of 5 = 5 and 10

Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)

Ways to roll a 10 = (5,5) (4,6) (6,4)

We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total

So P (multiple of 5) = 7 / 36

7 0

3 years ago