What is 60% off $16.99

-5x - 3 = -23 what's the answer? Find "x" best answer get rewarded!

kherson [118]

-5x-3=-23

Add 3 to both sides

-5x=-20

Divide both sides by -5

x=4

Final answer: x=4

Check:
-5(4)-3
-20-3
-23

-23=-23
True

3 0

3 years ago

The strength of a rectangular beam varies

aleksandrvk [35]

Answer:

1296 pounds per square inch

Step-by-step explanation:

Direct variation equation:

y = kx

In this case it is:

y = kx², where y- strength, x- depth of the beam, k- coefficient

Substitute the given values and solve for k:

3600 = k*10²
3600 = 100k
k = 3600/100
k = 36

The equation becomes:

y = 36x²

Now, find the value of y, when x is 6:

y = 36*6² = 1296

Note, I took the depth as 6 inches but the question is a bit confusing by saying "four six inches". If it is 4 inches then your answer will be:

y = 36*4² = 576

4 0

2 years ago

Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta

Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem, the events are:

Event A: Positive test result.

Event B: Pregnant.

The probability of a positive test result is composed by:

99% of 10%(truly pregnant).

2% of 90%(not pregnant).

Hence:

$P(A) = 0.99(0.1) + 0.02(0.9) = 0.117$

The probability of both a positive test result and pregnancy is:

$P(A \cap B) = 0.99(0.1)$

Hence, the conditional probability is:

$P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462$

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%24%5Coverline%7BBY%7D%24" id="TexFormula1" title="$\overline{BY}$" alt="$\overline{BY}$" alig

erica [24]

Answer:

BZ = 64/23 = 2 18/23

Step-by-step explanation:

The angle bisectors divide the triangle into proportional parts, so we have ...

CB/CY = AB/AY

CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate

and ...

BZ/CB = AZ/AC

BZ = AZ(CB/AC) . . . . multiply by CB

But we have ...

AZ = 8 -BZ, so this becomes ...

BZ = (8 -BZ)(16/3)/(10)

BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides

BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ

BZ = 64/23 = 2 18/23

6 0

3 years ago

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

crimeas [40]

Answer:

width -- 10 ft
length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

(x +5/6)^2 = 4225/36 . . . . simplify

x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

x = 10 or -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

4 0

3 years ago

What is 60% off $16.99​

What is 60% off $16.99