What is the answer to -3(x+4)+15=6-4x

A chocolate company selects 1200 random packages to check their weight it finds that 30 packages have an incorrect weight. how m

Cerrena [4.2K]

150 packages

30/1200 = x/6000
6000/1200 = 5
30 x 5 = 150

5 0

3 years ago

The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$

Thus the possible values of number are 7 and -4

5 0

3 years ago

See the picture below!!

Darya [45]

Answer:

Q1) x = 17.3

y = 8.7

Q2) d = 19

Step-by-step explanation:

Question 1

Angle = 60°

Hypotenuse = x

Adjacent = y

Opposite = 15

Sin (angle) = opposite/hypotenuse

Sin (60°) = 15/x

x = 10√3 = 17.3

Tan (angle) = opposite/adjacent

Tan (60°) = 15/y

y = 5√3 = 8.7

Question 2

<u>Step 1: Find the diagonal of the base</u>

c² = a²+b²

c² = 6² + 10²

c = 2√34 = 11.7

<u>Step 2: Find diagonal d</u>

c² = a² + b²

d² = 11.7² + 15²

d = 19

!!

7 0

3 years ago

The diagram shows the width and height of a table. Mr. Howell wants to build a table with the same ratio of width and height as

just olya [345]

Based on the diagram and the ratio of width and height in it, the width that Mr. Howell should make his table is 48 inches .

<h3>How wide should Mr. Howell's table be?</h3>

The width of the table in the diagram is 12 cm and the height is 6cm.

This means that the ratio of width to height is:

12 : 6

2 : 1

As Mr. Howell wants his table to be 24 inches high, the width of the table would be:

2 : 1

x : 24

Cross-multiply to get:

x = 48 inches

Find out more on ratios at brainly.com/question/20594266

#SPJ1

4 0

2 years ago

What is the value of x in the equation

seraphim [82]

1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)

6 0

3 years ago