7. Consider the inequality below. PART A: Select all values of x that make the inequality true. *
6x < 42

Answer:

4 lb 7 oz = 71 oz

Step-by-step explanation:

Do you need to convert 4 lb 7 oz into oz?

If so, do the following.

Obviously, 7 oz is already in oz, so all you need to do is convert 4 lb into oz and then add 7 oz.

1 lb = 16 oz

For every lb, there are 16 oz. To convert lb to oz, multiply the number of lb by 16.

4 lb = 4 * 16 oz = 64 oz

4 lb 7 oz = 4 lb + 7 oz = 64 oz + 7 oz = 71 oz

[tex]\\ \sf\longmapsto x^2-4x-5=0[/tex]

[tex]\\ \sf\longmapsto x^2-5x+x-5=0[/tex]

[tex]\\ \sf\longmapsto x(x-5)+1(x-5)=0[/tex]

[tex]\\ \sf\longmapsto (x-5)(x+1)=0[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:x=-1[/tex]

Solution is (-1,0) and (5,0)

Graph attached.

Spare way:-

Use quadratic formula .

[tex]\\ \sf\longmapsto x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(1)(-5)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm \sqrt{16+20}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4\pm 6}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}\:or\:\dfrac{-2}{2}[/tex]

[tex]\\ \sf\longmapsto x=5\:or\:-1[/tex]

[tex]x {}^{2} - 4x - 5 = 0 \\ x {}^{2} + x - 5x - 5 = 0 \\ x(x + 1) - 5(x + 1) = 0 \\ (x + 1)(x - 5) = 0 \\ x + 1 = 0 \\ x - 5 = 0 \\ x = - 1 \\ x = 5[/tex]

Answer:

1.

Step-by-step explanation:

+ (-4) = - 4 so we have

-2 + 7 - 4

= 5 - 4

= 1.

Answer:

the answer is 40% increase

Answer:

- 1/3

Step-by-step explanation:

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!

mn-nq+mo-oq

n(m-q) + o(m-q)

final ans:(n+o) (m-q)

Step-by-step explanation:

By angle sum property

7x-41+5x-12+2x+9 = 180

14x -44 =180

14x =224

x= 224/14

x= 16°

Answer:

thanks for this question as I also wanted it

Step-by-step explanation:

may I know in which grade are you

Answer:

C, 35 yellow books

Step-by-step explanation:

There are 10 books in total

if 3 of them is equal to 21, then one book in the picture is worth 7 books

5 yellow books can be seen thus 7x5=35

Answer:

C. 35 yellow books

Step-by-step explanation:

Let u be 1 unit.

3u = 21

u = 21÷3

=7

5u = 7×5

= 35

There are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

The given word is DEVIATION and we are required to find out the number of different 9-letter “words” that can be formed by arranging its letters.

To solve the problem, we will use the formula for finding permutations of n objects taken r at a time when all the objects are distinct.

The formula is given by: nPr = n! / (n-r)! where n is the total number of objects and r is the number of objects to be selected.

Here, we have 9 objects (letters) and we need to arrange all of them, so r = 9.

Now, we need to find out the value of n.

The given word DEVIATION has 9 letters, but two of them (E and I) are repeated twice.

Therefore, n = 9 - 2 = 7.

We will substitute these values in the formula to get the required answer:

nPr = n! / (n-r)! = 7! / (7-9)! = 7! / (-2)! = 7! / 1 = 5040

Therefore, there are 5040 different 9-letter “words” that can be made by arranging the letters in DEVIATION.

For more questions on permutations

https://brainly.com/question/28065038

#SPJ8

Answer:

b

Step-by-step explanation:

Answer: 2m+1/2

Step-by-step explanation: 2m=-6n+3

2m-3=-6n

(2m-3)/-6

n= 2m+1/2

Answer:

first blank: -x

second blank x

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

1/2 * 1/2 * 1/2 * 1/2

=1/16

Answer:

the answer to this question is d

Answer: C = 31.42cm

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

sorry

Answer:

The answer is D

Step-by-step explanation:

Answer:

√10 . May be this can help.

Answer:

x+24 = -20

this is the equation form

Answer:

24 + x = -20

Step-by-step explanation:

"The sum" is simple addition, so stating that the "sum of 24 and x" is the same as :

24 + x

Seeing as they equal -20:

24 + x = -20

Hope this helps!

Answer:

21

Step-by-step explanation:

9 + 12 = 21

Answer:

21

Step-by-step explanation:

You add 12 cupcakes plus 9 cupcakes it then will equal 21 cupcakes.

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

12=2x+4x

12=(2x+4x)(Combine Like Terms)

12=6x

12=6x

Step 2: Flip the equation.

6x=12

Step 3: Divide both sides by 6. 6x/6=12/6

x=2

Hope you found this helpful and have good day (.

Answer:

2

Step-by-step explanation:

plus the like-terms (x plus x): 2+4

so 12=6x. get 6 out of the x-term. X is the unknown number being multiplied by 6. To get it to the other side, divide the numbers. So: 12/6=x and 12/6 is 2. so x=2.

Answer:

0.3 pounds

Step-by-step explanation:

[tex]0.5 - 0.2 = 0.3[/tex]

Answer:

6

Step-by-step explanation:

13-7 =6

$6.00÷0.60¢ = 10

(I may be hella off, but it's worth a shot)

Answer:

5

Step-by-step explanation: