Mathematics High School

The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.​

Answers

Answer 1

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

Perimeter = 30 cmLength = x cm

Using the perimeter formula to find the width w.

[tex]P=2(l+w)[/tex]

[tex]P = 2l + 2w[/tex]

[tex]2w = P-2l[/tex]

Dividing both sides by 2

[tex]w\:=\:\frac{P}{2}-2[/tex]

as P = 30 cm

[tex]w\:=\:\frac{30}{2}-2[/tex]

[tex]w\:=\:15-2[/tex]

[tex]w = 13[/tex] cm

Using the formula of the rectangle area

[tex]A = wl[/tex]

substitute w = 13 and l = x in the formula

[tex]A=13\times \:x[/tex]

[tex]A = 13x[/tex]

Therefore, the area of the rectangle in terms of 'x' = 13x

Related Questions

The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is

Answers

Answer:

solution is (-2, 2) so x-coordinate of solution is -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, we have to write down both equations.

y = x + 4

3y = -2x + 2

Now we already have an equation that we can plug into the other equation.

= 3(x + 4) = -2x + 2

= 3x + 12 = -2x + 2

= 5x + 12 = 2

= 5x = -10

x = -2

Now we know that x = -2, and the question asks for the x-coordinate, which is -2.

An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.

Answers

Answer:

800 > x + 375

x < 425

Step-by-step explanation:

800 > x + 375

425 > x

15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15

Answers

Answer:

16 17

Step-by-step explanation:

Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed? PLZZZ I NEED THIS ASAP WITH THE EXPLANITION

Answers

Answer:

(57.1 miles per hour. )

7.8 hours

Step-by-step explanation:

A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second.For which of these functions doesy represent the altitude of the hot air balloon if x represents the number of seconds since the pilot started her landing?

Answers

It got be a least 27

12, 3, -6, 15, ...
what is the 44th term in this sequence

Answers

Answer:

the 44th term in this sequence is 3

Step-by-step explanation:

No the 44th term in the sequence is -375.

Please help due in 15 min

Answers

It is 63 students, because 84 divided by 2 is 42 then half of 42 is 21 so 21 is 25% so then you do 21 x 3 = 63

This hurts my brain cells help me

Answers

Looks right though

What question are you asking?

what is 2+2 in pemdas

Answers

Answer:

Addition with the result of 4

Step-by-step explanation:

Given

2 + 2 = 4

PEMDAS is the rule that includes order of operations in the sequence:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction

In the given expression we have Addition bit of PEMDAS

In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right

Answers

You should have put a picture so we could see the graph

plz help me what is y=4x+8

Answers

X=-2
Move variable to the left and than you divide both sides of equation by 4

Every day, Isabella practices the piano for 0.75 hour and the flute for 1.4 hours. What is the total number of hours that she practiced in April? (Reminder: April has 30 days

Answers

Answer:

She practiced a total of 64.5 hours

Step-by-step explanation:

Here, we need to know the number of hours practiced on both per day

Mathematically, that will be;

0.75 + 1.4 = 2.15 hours per day

So in 30 days ; the total number of hours will be

30 * 2.15 = 64.5 hours

Titus cuts 3/4 inch sections of wood to make a birdhouse. He cut 36 sections. How many inches did he cut?

SHOW YOUR WORK FOR DOUBLE THE POINTS AND YOU GET PICKED BRAINLIST
!!! I WILL REPORT YOU IF YOU CHEAT!!!

Answers

Answer:

report me if i cheat nah its 4

Step-by-step explanation:

Any help please and thank you

Answers

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time

Answers

Answer:

B. 1/3

Step-by-step explanation:

The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...

2 / 6 = x

If we simplify it would give us [tex]\frac{1}{3}[/tex]

find the sum:
13,16,19,...301
thanks!

Answers

Answer:

349

Step-by-step explanation:

please give thanks by clicking the heart :)

The answer for the question is this
349

Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86

Answers

Answer:

x - 10y = -59

(+)-4x + 10y = 86

-3x = 27

x = -9

substitute x into x - 10y = -59

-9 -10y = -59

-10y = -50

y = 5

Subtract the expressions: (5z + 4) - 5(-3z -6)

Answers

Hey there!

“(5z – 4) – 5(–3z – 6)”

DISTRIBUTE the RIGHT side of your equation

5z – 4 –5(–3z) + (–5)(–6)

–5(–3) = 15z

(–5)(–6) = 30

NEW EQUATION: 5z – 4 + 15z + 30

COMBINE your LIKE TERMS

(5z + 15z) + (4 + 30)

5z + 15z = 20z

4 + 30 = 34

ANSWER: 20z + 34 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

20z + 34

Step-by-step explanation:

A store spends 1/4 of its income on salaries and 1/6 of its income on advertising. If the store pays $150,000 for salaries, how much does it spend on advertising? Be sure to explain your reasoning.

Answers

Answer:

$100,000

Step-by-step explanation:

Let the total income of the store = [tex]\$x[/tex]

Total spends on salaries = [tex]\frac{1}{4}[/tex] of total income

Total spends on advertising = [tex]\frac{1}{6}[/tex] of total income

Also, we are given that:

Total money paid as salaries = $150,000

To find:

Total spends on advertising ?

Solution:

As per question statement, we can write the following equation:

[tex]\dfrac{1}{4}x =\$150000\\\Rightarrow x =\$150000\times 4\\\Rightarrow x = \$600000[/tex]

Now, as per the given statement, total spends on advertising are:

[tex]\dfrac{1}{6}x =\dfrac{1}{6}\times 600000 = \bold{\$100,000 }[/tex]

Therefore, the answer is $100,000

9x=-9


pls help asap​

Answers

-1 cuz if you times 9 by it you get -1

Answers please quickk

Answers

1. addition
2. subtraction
3. division

Answer:

Step-by-step explanation:

1 is addition

2 is subtraction

3 is division

Evaluate f(-2) if f(x) = x2+ 3

Answers

Answer:

f(-2) = 7

Step-by-step explanation:

-2 squared would be a positive 4 then add 3

Answer:

f(-2) = 7

Step-by-step explanation:

becuase yes


Find the value of x that makes m || n

Answers

Answer:

a) 24

Step-by-step explanation:

To  make m//n,  the sum of co-interior angles (4x + 84) should be 180

4x + 84 = 180

        4x = 180 - 84

        4x = 96

         x = 96/4

        x = 24

What is the solution for -10 < x - 9?

Answers

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.

Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.

Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?

Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?

Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?

Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?

Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?

Answers

Answer:

A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).

B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius

C. 4 degrees celsius

D. 39 degrees fahrenheit

E. Isla Hoste in august

F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Hope this helps OwO

a) The average high and low temperatures are -8°C and -27°C.  b) The average high and low temperatures are 13°C and  7°C. c) The average net change in temperature is -19°C.  d) The average net change in temperature is 6°C.  e) Nuuk in January experiences a larger absolute change.  f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

Part A

The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.

Part B

The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.

Part C

The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.

Part D

The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.

Part E

Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.

Part F

The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

To learn more about average here:

https://brainly.com/question/24057012

#SPJ2

On 12/1/2020 a total of 14,108,603 people in the US have tested positive for the Coronavirus-19 (CV-19). If the daily rate of increase stays at 1.2% (as has been for the past 30 days), how many people would be expected to have tested positive by 12/31/2020 (n=30 days later)? Compounding is continuous.
a. 20,222,275
b. 516, 349. 960
c. 14, 625,765
d. 28,985,182
Please ANSWER ASAP!!!

Answers

Answer:

C

Step-by-step explanation:

An alarm rings 8 times in 5 seconds.What is the unitr rate,in rings per second?

Answers

Answer: the answer is 1.6

Step-by-step explanation: 8 divided by 5 is 1.6

help it’s also not D :)

Answers

Answer:

the answear is c

Step-by-step explanation:

i learnt in class that the number with the letter is used to divide what it equalls

Answer:

C

Step-by-step explanation:

Step 2 is correct, that is

8x = 10 ( divide both sides by 8 ), error made here by dividing by 10

x = [tex]\frac{10}{8}[/tex]

x = [tex]\frac{5}{4}[/tex]

The error was made at step 3

A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360

Answers

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

In the diagram below of rectangle RSTU, diagonals RT and SU intersect at 0.
RT = 6x + 4 and 50 = 7% -6, what is the length of US?
U
A) 8
x
B) 2
C) 16
R
D) 32

Answers

6x+4=2(7x-6)
6x+4=14x-12
16=8x
X=2

B) 2
I think it’s correct

Answer: 16

Step-by-step explanation:

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