6 x +4 + 10x - 9 + 8x

Contestant and like terms. What do they mean?

Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

8 0

3 years ago

On a map the perimeter of the is 0.251 meters. The actual perimeters of the park is 1,000 times as large. What is the actual per

raketka [301]

The actual perimeter of the park is $\boxed{\bf251{\text{ meters}}}$ .

Further explanation:

Given:

The perimeter of the park is on a map $0.251{\text{ meters}}$ . The measured perimeter of the park is 1000 times as large.

Calculation:

The distance of the closed figure is called as the perimeter.

The perimeter of the attached Figure 1 can be calculated as,

$\begin{aligned}{\text{Perimeter}}&=a+a+b+b\\&=2\left({a+b}\right)\\\end{aligned}$

Here, $x,y{\text{ and }}z$ is the length of the shape.

From place value chart, 10 tens is equal to 1 hundreds.

Tenths are one place after the decimal and hundredths are two places after the decimal.

Two tenths can be written in the form of decimal as follows:

$\dfrac{2}{{10}}=0.2$

Five hundredths can be written in the form of decimal as follows:

$\dfrac{5}{{100}}=0.05$

One thousandths can be written in the form of decimal as follows:

$\dfrac{1}{{1000}}=0.001$

Therefore, the number 0.251 can be written as,

$\begin{aligned}0.251&=\frac{2}{{10}}+\frac{5}{{100}}+\frac{1}{{1000}}\\&=0.2+0.05+0.001\\&=0.251\\\end{aligned}$

On the map the perimeter of the park is $0.251{\text{ meters}}$ .

Let ${\text{P}}$ be the actual perimeter of the park.

The actual perimeter of the park can be calculated as follows,

$\begin{aligned}{\text{P}}&=0.251\times1000\\&=251{\text{ meters}}\\\end{aligned}$

Thus, the actual perimeter of the park is $\boxed{\bf251{\text{ meters}}}$ .

Learn more:

1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Numbers

Keywords: Perimeter, park, map, , measured, 1000 times large, distance, closed figure, length, shape, place value chart, hundreds, tenths.

6 0

3 years ago

Read 2 more answers

Suppose you write a sum of numbers as a product of their GCF and another sum. What is the GCF of the numbers in the other sum? C

vivado [14]

Answer:

1

Step-by-step explanation:

7 0

3 years ago

A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is

Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.

let the width of the basement be "w"

Given data

volume v= $595ft^{3}$

length l = $7w ft$

width w= $w$

height h= $5 ft$

We know that the expression for the volume of a rectangular prism is

$volume= length * width* height$

substituting our data we have to find "w"

$595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\$

dividing both sides by 35 we have

$w^{2}= \frac{595}{35\\} \\w^{2}= 17\\$

find the square root of both sides we have

$w=\sqrt{17} \\w= 4.12$

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

$length= 7*4.12= 28.86ft\\width = 4.12ft$

6 0

3 years ago

The function f(t)=-16 + 100 models the height of a ball, in feet, dropped from a 100-foot rooftop at time t, in seconds.

Mazyrski [523]

Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:

B. -32 ft/s; the average change in altitude of the ball each second over that interval.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

$r = \frac{f(b) - f(a)}{b - a}$

In this problem, the function is given by:

f(t) = -16t² + 100.

The outputs are given as follows:

f(0) = -16(0)² + 100 = 100.

f(0) = -16(2)² + 100 = 36.

Hence the average rate of change is given by:

r = (36 - 100)/(2 - 0) = -32 ft/s.

And the correct option is:

B. -32 ft/s; the average change in altitude of the ball each second over that interval.

More can be learned about the average rate of change of a function at brainly.com/question/24313700

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8 0

1 year ago

6 x +4 + 10x - 9 + 8x - 7=