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3 years ago

The sum of two consecutive integers is 125.find the two integers

Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

Answer:

62 and 63

Step-by-step explanation:

125/2= 62.5 (Middle integer or mean of the 2 integers)

That means that the integers are 62 and 63

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After years of maintaining steady population of 32,000 the population of town begins to grow exponentially. After 1 year and an

GuDViN [60]

Answer: y = 32,000(1.08)^c

Step-by-step explanation:

Given that the initial population

P = 32000

t = 1 year

R = 8%

Y = 34,560

To predict y the number of people living in town after x years

t = x

Y = P(1 + 8%)^t

Y = 32000( 1.08)^x

5 0

3 years ago

Name the property illustrated. 6 + 4 + 3 = 6 + 3 + 4

Iteru [2.4K]

Commutative property states that order does not matter. Multiplication and addition are commutative. Related Links: Properties. Associative, Distributive and commutative properties.

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2 years ago

One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number a

STatiana [176]

Answer:

Step-by-step explanation:

well, we start by expressing the number:

a b

we understand that using the above expression, the value of the number is 10a + b

using the information in the question,

a = 3b (1)

and,

11b + 11a = 88 (2) (derived using 10a + b form)

hence, when substituting (1) into (2):

11b + 33b = 88

44b = 88

b = 2 (3)

sub (3) into (1)

a = 6

hence, the number is 62

3 0

2 years ago

21 is 20% of what number

Ksenya-84 [330]

Answer:

21 is 20% of 105

Step-by-step explanation:

20% * x = 21

20/100 * x = 21

x = 21 * 100/20

x = 105

If you are using a calculator, simply enter 21×100÷20, which will give you the answer.

6 0

3 years ago

Read 2 more answers

Simplify the fraction and state the excluded value(s).

stira [4]

Answer:

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Factoring

Calculus

Discontinuities

Removable (Holes)
Jump (Piece-wise functions)
Infinite (Asymptotes)

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}$

Step 2: Simplify

[Frac - Numerator] Factor quadratic: $\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}$
[Frac - Denominator] Factor GCF: $\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}$
[Frac] Divide/Simplify: $\displaystyle \frac{(7x - 10)}{5}, x \neq -2$

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

8 0

2 years ago