All categories

3 years ago

Solve the equation x-23=18

Mathematics

1 answer:

Nastasia [14]3 years ago

4 0

Answer:

x = 41

Step-by-step explanation:

x-23=18

Add 23 to each side

x-23+23=18+23

x =41

You might be interested in

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

NARA [144]

Answer:

Slope of this line is given by:

<em>Aaron’s rate for mowing lawns is 0.5 acres per hour</em>

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

$x_1=3, y_1=1.5\\x_2=5, y_2=2.5$

Change in x coordinate = $x_2-x_1=5-3 = 2$

i.e. total time taken is 2 hours.

Change in y coordinate = $y_2-y_1=2.5-1.5 = 1$

i.e. total land mowed taken is 1 acre.

In other words, <em>it takes 2 hours for Aaron to mow 1 acre of land.</em>

So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.

<u>Rate of mowing</u> lawn is the <em>land mowed by Aaron in 1 hour</em>.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = $\frac{1}{2}$ acre i.e. 0.5 acre

Also, slope of a line is given as:

$m = \dfrac{y_2-y_1}{x_2-x_1}$

Here $y_2 - y_1 = 1$

$x_2 - x_1 = 2$

As per formula:

$m = \dfrac{1}{2} = 0.5$

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

6 0

3 years ago

Read 2 more answers

A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of water in the can was 6 gallons. Whi

Monica [59]

At x=0 y=6 the y intercept. The rate is -0.25 so the equation is y=6-0.25x. The ordered pair is (x,6-0.25x).

3 0

3 years ago

A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating

julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

2/3 = 14 - x / t

t = 2x--------1

2t = 3(14 - x ) -------- 2

substitute t in equation 2

2(2x) = 3(14 - x)

4x = 42 - 3x

7x = 42

x = 42/7 = 6cm

substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

#SPJ1

3 0

2 years ago

Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please

Mekhanik [1.2K]

Answer:

Perimeter = 30

Area = 30

Step-by-step explanation:

$(x+8)^2 -x^2 = 12^2$

$x^2 +16x +64 - x^2 = 144$

$16x+64=144$

$16x = 80$

$x = 5$

Double check:

$\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13$

Perimeter:

$12+5+13=30$

Area( $\frac{1}{2}bh$ ):

$\frac{1}{2}$ × 12 × 5 = 30

5 0

2 years ago

Read 2 more answers

Round each number to the nearest 10 and 100. 734,102,483

11111nata11111 [884]

734: 730 and 700.

102: 100 and 100.

483: 480 and 500.

There you go! ^w^

8 0

3 years ago

Solve the equation x-23=18​

Solve the equation x-23=18