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oksano4ka [1.4K]

2 years ago

5

Simon entered a number into his calculator. To this number, he added the square of the original number and the cube of the origi

nal number. Simon got the answer 543.192 Use a trial and improvement method to find the number that Simon first entered into his calculator.

1 answer:

densk [106]2 years ago

4 0

Answer:

7.8. First plug in a number, then just keep trying till you get 7.8

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A coat at a store is originally priced at 54.99.The store marks the price down to 32.99.To the nearest percent ,what is the perc

AnnZ [28]

For this case what we can do is the following rule of three:
54.99 ------> 100%
32.99 ------> x
We clear the value of
x = (32.99 / 54.99) * (100)
x = 59.99272595
Therefore, the discount percentage is:
100-59.99272595 = 40.00727405%
To the nearest percent;
40%
Answer:
The percent markdown of the coat is:
40%

7 0

2 years ago

What values of b satisfy 4(3b + 2)2 = 64?

rodikova [14]

Assuming yo meant
4(3b+2)²=64

divide both sides by 4
(3b+2)²=16
sqrt both sides
remember to take positive and negative roots
3b+2=+/-4
minus 2 both sides
3b=-2+/-4
divide by 3
b=(-2+/-4)/3
b=(-2+4)/3 or (-2-4)/3
b=2/3 or -6/3
b=2/3 or -2

A is answer

7 0

2 years ago

Read 2 more answers

Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c O

Bas_tet [7]

Answer:

addition property of equality
integers are closed to addition
identity element
multiplication property of equality
commutative property of multiplication; reals are closed to multiplication; identity element

Step-by-step explanation:

<u>Given</u>:

c/2 -5 = 7

Step 1: c/2 -5 +5 = 7 +5

Step 2: c/2 +0 = 12

Step 3: c/2 = 12

Step 4: 2(c/2) = 12(2)

Step 5: c = 24

<u>Find</u>:

The property that justifies each step of the solution.

<u>Solution</u>:

Step 1: addition property of equality (lets you add the same to both sides)

Step 2: integers are closed to addition

Step 3: identity property of addition (adding 0 changes nothing)

Step 4: multiplication property of equality

Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality. Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

8 0

2 years ago

Read 2 more answers

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th

White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

$d=16t$

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

$f(t)=16t$

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

$t\geq0$

The range of the function is the interval-------> [0,∞)

$f(t)\geq0$

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

$f(t)=16t$

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because $16$ represent the rate or the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

Because, the scenario is represented by the function $f(t)=16t$

<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0

2 years ago

Read 2 more answers

If four is half of five and two thirds of six is nine. what is thirty-two?

valkas [14]

Four is IV which is half of five. IX is nine which is 2 thirds of 6 so... thirty-two is 1 5/6

5 0

2 years ago