Ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate

A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4

Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = $\frac{x}{2}$

So, value of car after depreciation in another 4 years = Half of the value after 4 years = $\frac{1}{2}(\frac{x}{2})=\frac{x}{4}$

Therefore, final depreciated value after 8 years is $\frac{x}{4}$ .

But, as per question, final depreciated value is $5000. Thus,

$\frac{x}{4}=5000\\x=5000\times 4\\x=20000$

Therefore, the original price of the car was $20,000.

3 0

2 years ago

Write an inequality for the given statement:the sum of x and 25 is less than 75

tiny-mole [99]

Answer:

$x + 25 < 75$ ; $x < 50$

Step-by-step explanation:

The inequality says the sum of x and 25 (written as x + 25) is less than (<) 75.

The inequality is written as: $x + 25 < 75$

My work for solving the inequality is in the picture.

4 0

2 years ago

Taseem’s loose change consists of dimes and quarters. When you ask her how many of each type of coin she has, she gives you the

sweet-ann [11.9K]

The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

0.1x + 0.25y = 19.9 and

x + y = 100

Let x = number of dimes

y = number of quarters

After solving the above system of equations by substitution method.

$\rm \dfrac{398-5y}{2}+y=100$

y = 66

$\rm x=\dfrac{398-5\cdot \:66}{2}$

x = 34

Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

4 0

2 years ago

Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.

coldgirl [10]

Answer:

a reflection in the y-axis followed by a translation down by 7 units

Step-by-step explanation:

just answered it

3 0

2 years ago

Which undefined term is used to define an angle ?

enyata [817]

Point.

<h3>Further explanation</h3>

This is one of the classic problems of Euclidean geometry.
The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.
We express an angle with three points and a symbol ∠. The middle point represents constantly vertex. We can, besides, give angle names only with vertices. For example, based on the accompanying image, the angle can be symbolized as ∠BAC, or ∠CAB, or ∠A.

Types of Angles

The acute angle represents an angle whose measure is greater than 0° and less than 90°.
The right angle is an angle that measures 90° precisely.
The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.

Undefined terms are the basic figure that is undefined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size). It is marked with a capital letter and a dot.
A line represent an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
A plane represents a planar surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

<h3>Learn more </h3>

Undefined terms are implemented to define a ray brainly.com/question/1087090
Definition of the line segment brainly.com/question/909890
What are three collinear points on a line? brainly.com/question/5795008

Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry

6 0

2 years ago

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Ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate​

Ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate