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AleksandrR [38]
3 years ago
9

   Solve this inequality: 3p – 16 < 20

Mathematics
2 answers:
Llana [10]3 years ago
7 0
P < 12
1. add 16 over
2. divide all by 3
bulgar [2K]3 years ago
7 0
Solve this like the less than was an equal sign to start
3p-16<20
3p-16=20
Add sixteen to each side
3p-16+16=20+16
3p=36
Divide each side by 3 to get p by itself:
3p=36
p=12
Replace the equal sign with the less than sign again
p<12
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a rectangular parking lot has an area of 7/10 square kilometer the width is 1/3 kilometer what is the length of the parking lot
Virty [35]

Answer:

2\frac{1}{10} km

Step-by-step explanation:

We are given;

  • The are of a rectangle as 7/10 km²
  • Width of the rectangle is 1/3 km

We are required to find the length of the rectangle;

We need to know how to find the area of a rectangle first;

Area of rectangle = Length × Width

Rearranging the formula;

Length = Area of rectangle ÷ Width

            = 7/10 km² ÷ 1/3 km

   We get;

           =\frac{7}{10} *\frac{3}{1}

           =\frac{21}{10}

           =2\frac{1}{10} km (improper fraction)

Thus, the length of the rectangular park is 2\frac{1}{10} km

5 0
2 years ago
Label each angle in the figure as acute, right, or obtuse. Then, fill in
Semmy [17]

Answer:

Top and Bottom angle: Obtuse

Right and Left angle: Acute

There are 2 acute angles, 0 right angles, and 2 obtuse angles in this figure.

3 0
2 years ago
Read 2 more answers
What is the value of x in the picture below? Round your answer to the nearest 10th (1 decimal place)
goldfiish [28.3K]

Answer:

try to find the c's in the o's how many are there?

Step-by-step explanation:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooocoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

3 0
2 years ago
The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
Sliva [168]

Answer:

i. x^{2} + 26x + 144 - 299 = 0

ii. x = 5

Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

Area of rectangle = length x width

length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

299 = x^{2} + 26x + 144

x^{2} + 26x + 144 - 299 = 0

x^{2} + 26x - 155 = 0

applying the trigonometric formula;

x = (-b ± \sqrt{b^{2} - 4ac}) ÷ 2a

= (-26 ± \sqrt{(26)^{2} - 4(1*-155)}) ÷ 2

= (-26 ± \sqrt{676 +620}) ÷ 2

= (-26 ± \sqrt{1296}) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

  = 10 ÷ 2 OR -62 ÷ 2

  = 5 OR -31

Thus, x = 5

5 0
3 years ago
PLEASE HELP FAST
Morgarella [4.7K]
Every difference of squares problem can be factored as follows: a2 – b2 = (a + b)(a – b) or (a – b)(a + b). So, all you need to do to factor these types of problems is to determine what numbers squares will produce the desired results.
3 0
3 years ago
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