All categories

2 years ago

Solve the inequality 7+7(x+4)>21

Mathematics

1 answer:

Kryger [21]2 years ago

8 0

Answer:

x>-2

Step-by-step explanation:

Hi there!

We are given the inequality 7+7(x+4)>21, and we want to solve it

Solving an inequality is a lot like solving an equation; we want to isolate x on one side by itself.

So to start, we'll preform the distributive property on 7(x+4) (multiply x by 7, then multiply 4 by 7 and add those two together).

7+7x+28>21

Now combine like terms.

7x+35>21

Subtract 35 from both sides

7x>-14

Divide both sides by 7

x>-2

Hope this helps!

You might be interested in

T is your daughter's birthday and you are preparing a family meal. The joint of meat needs to be cooked for 30 minutes per 500 g

Basile [38]

2.5kg is 2,500g
2,500g/500g= 5
Cook time= (30minutes*5) + 20 minutes
170 minutes

8 0

3 years ago

A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure. The r

SCORPION-xisa [38]

In the given question, it is given that

ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is

$tan B = \frac{8}{15}$

And that's the required missing ratio for tan B .

3 0

3 years ago

Read 2 more answers

Look at pic below please show work : )

Sindrei [870]

Answer:

91.1 cubic inches to 1 dp

Step-by-step explanation:

4.5 X 4.5 X 4.5 = 91.125 cubic inches

4.5^3 = 91.125 cubic inches

7 0

2 years ago

If the area of a rectangle with length (4x) is 4x^2+12x. Find the width.

almond37 [142]

Area=lenght times widht
area/length=width
(4x²+12x)/(4x)=width
we can factor out the 4x
4x²+12x=4x(x+3)

so the width is x+3

7 0

3 years ago

Read 2 more answers

Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27

icang [17]

Answer: B) 1/9, 3, 27

Step-by-step explanation:

Here, we need to evaluate $3^x$ for $x = -2, x = 1, \text{ and } x = 3.$

So, we substitute values of x in the given function.

At x= -2, we have

$3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}]$

At x= 1, we have

$3^1=3$

At x= 3

$3^3=3\times3\times3=27$

So, the values of $3^x$ for

Thus, the correct answer is B) 1/9, 3, 27

7 0

3 years ago