PLS I NEED HELP ASAP!!!!

Equation to find original price if sale price of $429 is a 34% discount

Burka [1]

Answer:

The original price is $650

Step-by-step explanation:

There's an actual algebra method for this, but this is my method because I find it way easier to remember.

Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.

Now, turn it into a decimal because it makes the numbers easier- 0.66.

Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.

So, 429 ÷ 0.66 = 650.

Therefore, the original price of the $429 sale price for a 34% discount is $650.

7 0

2 years ago

Express the statement "A rectangular field with an area of 120m' has it length 12mn longer than the width" as quadratic equation

navik [9.2K]

Answer:

The quadratic equation is x^2 -12x -120 = 0

where x represents the length of the field

Step-by-step explanation:

We want to make an expression in terms of a quadratic equation;

Let the length of the field be x mm , then the width will be (x-12) mm

Mathematically , the area of the field will be L * B

Thus;

x * (x-12) = 120

That gives;

x^2 -12x = 120

x^2 -12x -120 = 0

6 0

2 years ago

How do i calculate? All the way to s_75. It’s so long

mina [271]

Answer:

-675

Step-by-step explanation:

The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.

$\displaystyle S_{75}=\sum\limits_{n=1}^{75}{(67-2n)}=\sum\limits_{n=1}^{75}{67}-2\sum\limits_{n=1}^{75}{n}\\\\=75\cdot 67-2\dfrac{75(75+1)}{2}=75(67-76)\\\\=\bf{-675}$

__

Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.

The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.

The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...

75(-9) = -675

7 0

3 years ago

Pls help me

bekas [8.4K]

The composite function combines the palm tree and the seed functions

The composite function is t(d) = 60d + 20

<h3>How to determine the composite functions</h3>

The functions are given as:

Number of palm trees: t(s) = 3s + 20

Number of seeds: s(d) = 20d

The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:

t(s(d))

This is calculated as:

t(s(d)) = 3s(d) + 20

Substitute s(d) = 20d

t(s(d)) = 3 * 20d + 20

Evaluate the product

t(s(d)) = 60d + 20

Rewrite as:

t(d) = 60d + 20

Hence, the composite function is t(d) = 60d + 20

Read more about composite functions at:

brainly.com/question/10687170

4 0

2 years ago

I will give you brainliest, if you provide an accurate explanation.

Molodets [167]

Answer:

sqrt(i) =0.707106781 + 0.707106781 i

Most of the numbers we know, and work with, are Real Numbers. The Real Number System includes counting numbers, fractions, terminating decimals, positive numbers, negative numbers, zero, repeating decimals, never ending and non-repeating decimals, numbers that are expressed as radicals, and even pi (π).

The natural numbers are the set of counting numbers

• There are infinitely many numbers in a set of numbers.

• The natural numbers are "closed" under addition and multiplication.

The addition of two natural numbers creates another natural number.

The multiplication of two natural numbers creates another natural number.

closed under addition and multiplication.

BUT ...

The subtraction of two natural numbers does NOT necessarily create another natural number

The division of two natural numbers does NOT necessarily create another natural number

The whole numbers are the set of counting numbers (natural numbers) along with zero

• There are infinitely many numbers in this set of numbers.

• The set of whole numbers is "closed" under addition and multiplication.

Integers:

• The integers are the set of all of the natural numbers,

plus their additive inverses and zero

• The integers are "closed" under addition, multiplication and subtraction,

but NOT under division

Rational Numbers:

• The rational numbers are the set of numbers which can be expressed as a ratio

(a fraction) between two integers.

• Integers are rational numbers since 5 can be written as the fraction 5/1.

• Decimals which terminate are rational numbers.

• Decimals which have a repeating pattern are rational numbers. 1/3 = 0.3333333...

• The rational numbers are "closed" under addition, subtraction, and multiplication. Under division, we run into the problem of division by 0, which makes the statement that "the rationals are closed under division" false. Some texts state that "the rationals are closed under division as long as the division is not by zero" which is a true statement.

Irrational Numbers:

The irrational numbers are the set of number which can NOT be written as a ratio (fraction).

• Decimals which never end nor repeat are irrational numbers.

• Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

• Examples of irrational numbers: rad2, π

8 0

3 years ago

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