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Delicious77 [7]
3 years ago
11

Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off. Which expression represents the sale

price of the boots where x is the original price of the boots?
Mathematics
1 answer:
leva [86]3 years ago
3 0
There are two expressions that can work for this: 0.8x and x-0.2x Hope this helps :)
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Which is steeper, a slide that rises 3 feet for every 2 feet of run, or a sliding pole that rises 5 feet for every 3 feet of run
mezya [45]

Answer:

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

Step-by-step explanation:

Step 1

Express the angle of inclination as follows;

Tan∅=H/R

where;

∅=angle of inclination

H=vertical rise

R=distance of run

Step 2

Determine the angle inclination when;

H=3 feet

R=2 feet

replacing;

Tan∅=(3/2)=1.5

∅=Tan^(-1)(1.5)

∅=56.31°

Determine the angle inclination when;

H=5 feet

R=3 feet

replacing;

Tan∅=(5/3)=1.67

∅=Tan^(-1)(1.67)

∅=59.03°

59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.

6 0
3 years ago
this visual representation shows the sets of real numbers. classify the number −25. select all terms that are correct. natural w
vekshin1

-25 is an integer and a rational number.

<h3>What is number system?</h3>
  • A system of writing numbers is known as a number system.
  • It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set.
  • It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

Now,

  • Natural numbers are positive integers with a range of 1 to infinity; nevertheless, they do not include zero. -25 wouldn't be a natural number because it is a negative number.
  • A group of numbers known as a whole number consists of all positive integers and 0. This wouldn't be a whole number because -25 isn't a positive number.
  • Any real number that cannot be represented as the quotient of two integers is said to be irrational. Square roots of irrational numbers are also frequently seen. -25, however, is not a square root.
  • Any number that can be expressed as a ratio, or a fraction, of two integers, is referred to be a rational number. Fractions, decimals, negative decimals, and other rational numbers are very prevalent. Since -25 can be represented as a ratio of two numbers. it is a rational number.
  • A whole number that can be either positive, negative, or zero is known as an integer. As -25 is negative and a whole number( when positive), it is an integer.

Hence, -25 is an integer and a rational number.

To learn more about number system, refer to the link: brainly.com/question/13162939

#SPJ4

6 0
1 year ago
An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 25 ft.
faltersainse [42]

Answer:

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center is 24 feet

Step-by-step explanation:

An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.

Vertex at (50,25)

vertex form of the equation is

y=a(x-h)^2+k, (h,k) is the center

y=a(x-50)^2+25

the parabola starts at (0,0) that is (x,y)

0=a(0-50)^2+25

subtract 25 from both sides

-25=a(-50)^2

-25=a(2500)

divide both sides by 2500

a=-\frac{1}{100}

y=-\frac{1}{100}(x-50)^2+25

the height of the arch 10 feet from the center.

center is at 50, 10 feet from the center so x=40 and x=60

y=-\frac{1}{100}(40-50)^2+25

y=24

the height of the arch 10 feet from the center is 24 feet

4 0
3 years ago
Are 5.5 + 2.1x + 3.8x - 4.1 and 1.4 5.9x equivalent
Marat540 [252]

5.5 + 2.1x + 3.8x - 4.1

5.5-4.1 +x(2.1+3.8)

1.4 +x(5.9)

5.9x+1.4

these are equivalent if there is a plus sign between  1.4 5.9x


6 0
3 years ago
Read 2 more answers
Write 5.24 in expanded form
Katarina [22]
This is how you write 5.24 in expanded form 5+0.2+0.04
4 0
3 years ago
Read 2 more answers
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