Explain -3 1/3, 3.3, -3 and 3/4, 3.5 from least to greatest

good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points

borishaifa [10]

Answer:

7. $x=3$

8. l=11cm and w=7 cm

9. $x-5\ge12$

10. $\frac{x}{3}\le15$

Step-by-step explanation:

Question 7.

The given expression is:

$12-3(2x+1)=7x-3(7+x)$

Expand the parenthesis using the distributive property:

$12-6x-3=7x-21-3x$

Group similar terms:

$-6x-7x+3x=-21+3-12$

Simplify

$-10x=-30$

Divide both sides by -10

$x=3$

Question 8:

Let the width of the rectangle be; $w$

The length of the rectangle is $l=w+4$

The perimeter is given as: $P=2(l+w)$

Given that the perimeter P=36, then:

$36=2[(w+4)+w)]$

$\implies 36=2(2w+4)$

Divide both sides by 2:

$\implies 18=2w+4$

Subtract 4 from both sides:

$\implies 18-4=2w$

$\implies 14=2w$

$\implies w=7$

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as $x-5$

"5 fewer than a number is at least 12" becomes

$x-5\ge12$

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

$\frac{x}{3}$

The quotient of a number and 3 is no more than 15 is written as;

$\frac{x}{3}\le15$

4 0

3 years ago

Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5

laila [671]

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

Perimeter: <u>29 cm</u>

Area: <u>49.5 cm²</u>

<h3>How can the area and perimeter of the trapezium be found?</h3>

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid =<u> 29 cm</u>

Perimeter: 29 cm

The area of the trapezoid is given as follows;

$Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}$

Which gives;

$Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5$

The area of the trapezoid = 49.5 cm²

Area:<u> 49.5 cm²</u>

Learn more about the area and perimeter of geometric shapes here:

brainly.com/question/359059

brainly.com/question/11461461

8 0

2 years ago

The temperature of a weather station was 12.8 °F at midnight and fell 1.4 °F each hour for six hours. Which of the following sol

Len [333]

Answer:

Let's try to find a linear relation like:

T(h) = a*h + b

where a is the slope and b is the y-intercept.

h is the number of hours after midnight.

T is the temperature at the time defined by h.

We know that at midnight, the temperature is 12.8°F.

At midnight, we have h = 0, then:

T(0) = a*0 + b = 12.8°F

b = 12.8°F

Now we know that our function is:

T(h) = a*h + 12.8°F

We also know that the temperature fell 1.4 °F each hour for six hours.

Then the slope will be -1.4°F

We can write the linear relationship as:

T(h) = -1.4°F*h + 12.8°F (for 0 ≤ h ≤ 6)

Where we have a restriction in the possible values of h, because we know that this model only works for six hours after midnight,

3 0

2 years ago

Read 2 more answers

adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an

Tom [10]

Adults = 9

Children = 2

Let x be the number of adults.

11-x is the number of children.

22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9 number of adults.

11 - x = 11 - 9 = 2 number of children.

To check:

22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

198 + 30 = 228

228 = 228

(not my answer btw)

3 0

3 years ago

Read 2 more answers

Please help me asap

omeli [17]

Answer:

-.51, .1/2, .42, 11/20

3 0

3 years ago

Read 2 more answers