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3 years ago

Find a value for each variable:1. -3(x – 7) – 11 = 28

Mathematics

2 answers:

11111nata11111 [884]3 years ago

7 0

Answer: x=-6

Step-by-step explanation: I gtg to my next hour so cya

koban [17]3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

Find two consecutive odd integers whose product is 99

Illusion [34]

Let x be the first odd number.

Second odd number will be x+2

Proof:

If 3 (was) the first odd number, 3+2 would be the next which is 5.

So,

(x) (x+2) = 99
xsquare + 2x = 99
xsquare +2x - 99 = 0
xsquare +11x - 9x -99 = 0
x(x +11) -9(x + 11) = 0
(x+11) (x-9) = 0

So the two odd numbers were 9 and 11

8 0

3 years ago

Below is a drawing of a wall that is to be covered with either wallpaper or paint. The wall is 8 ft. high and

Snowcat [4.5K]

84 sq. ft of the wall has to be covered with paint or wallpaper.

Step-by-step explanation:

Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width

Area of the wall = 8 × 16 = 128 ft²

Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)

Area of the fireplace = 5 × 3 = 15 ft²

Area of the mirror = 4 × 2 = 8 ft²

Step 2: Calculate the area to be painted or covered with wallpaper

Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)

= 128 - 44

= 84 ft²

5 0

4 years ago

Read 2 more answers

In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t

sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that $p = 0.5$

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that $n = 4$ . So

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625$

$P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125$

0.3125 = 31.25% probability that it is not ideal.

7 0

3 years ago

The jogging path at the park is 2.7 miles long. Miriam completed one lap of the path, walking part and jogging part. She hogs ha

Nimfa-mama [501]

Answer:

Miriam walks for 1.8 miles and jogs for 0.9 miles.

Step-by-step explanation:

The path for jogging is 2.7 miles.

One lap of the path, that is 2.7 miles, is completed by Miriam by jogging part and walking part.

Let the jogging part be x miles.

It is given she jogs half the distance she walks , therefore we can say that she walks for 2x miles.

So we can say that 2x + x = 2.7 miles ⇒ 3x = 2.7 miles

⇒ x = 0.9 miles.

Therefore Miriam walks for 1.8 miles and jogs for 0.9 miles.

6 0

3 years ago

P( 4) =<br> 13 and Q( 4) = 8, evaluate P( 4) Q(4).

mariarad [96]

This is a common multiplication problem. Imagine P(4) as x, and Q(4) as y. You are plugging them into the equation x*y. Since x is equal to 13, and y is equal to 8, you are going to plug them into their corresponding variables and multiply. 13 * 8 = 104. The answer is 104.

7 0

3 years ago

Find a value for each variable:1. -3(x – 7) – 11 = 28​

Find a value for each variable:1. -3(x – 7) – 11 = 28