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MA_775_DIABLO [31]
3 years ago
6

The area of a rectangle is 3/5 square meter. The width is 2/5 meter. A. What is the length of the rectangle? Write your answer a

s a fraction in simplest form. The length of the rectangle is meters. B. How many times greater is the length than the width? Write your answer in simplest form. The length is times greater than the width.
Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Area of a rectangle is represented as;

A = length * width

Given

Area = 3/5 m²

Width = 2/5 m

Required

Length = x

Get the length;

From the formula

L = A/W

L = 3/5 ÷ 2/5

L = 3/5 × 5/2

L = 3/2 m

Hence the length of the rectangle is 3/2 m

Take the ratio of the length to the width as shown;

L/W = 3/2÷2/5

L/W = 3/2 * 5/2

L/W = 15/4

L = 15/4 W

Hence the length is 15/4 times greater than the width

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Find the total cost, including tax, of the following items:
frez [133]

Answer:

$10.23

Step-by-step explanation:

$2.19+$1.39+$3.69+$2.29=9.56

9.56 x 1.07=10.2292

You round to the nearest tenths place

$10.23

7 0
3 years ago
When finding the sum of 512 and –614, Josh used a left-to-right algorithm to compute the answer. He first added the hundred’s di
Georgia [21]

Answer:

<em>Yes, Josh's answer</em><em> is </em><em>correct</em><em> as </em><em> –102</em><em>  is the correct answer.</em>

<em>Josh have computed the sum as:</em>

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102

Step-by-step explanation:

This is how Josh used a left-to-right algorithm to compute the answer:

  1. Adding the hundred’s digits 500 + (–600) = –100
  2. Adding the ten's digits 10 + (–10) = 0
  3. Lastly, adding 2 + (–4) = –2
  4. End result –100 + 0 + (–2) = –102

<em>Yes, Josh's answer is correct. </em>

<em>How else could Josh have computed the sum?</em>

Before mentioning how Josh could have computed the sum. Here are some of the facts about sum of numbers:

  • The sum of two negative integers is a negative integer. For example,

Adding two negative integers: -3 and -5

-3 + -5 = -8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note -3 + -5 = -8 which is read as is read as Negative 3 plus negative 5 equals negative 8.

  • The sum of two positive integers is a positive integer.

Adding two positive integers: ⁺3 and ⁺5

(⁺3) + (⁺5) = ⁺8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note ⁺3 + ⁺5 = ⁺8 which is read as is read as Positive 3 plus positive 5 equals positive 8.

  • To add a positive and a negative integer

As +(+) are like signs, so they become a positive sign. Such as:

−5 + (+ 1) = −5 + 1 = -4

As

+ + ⇒ +  

+ − ⇒ −  

− + ⇒ −

− − ⇒ +

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

So, What is −614 + (+512)?

       

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

<em>So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102</em>

<em>Keywords: integer, sum, numbers, digit</em>

<em>Learn more about sum of integers from brainly.com/question/591533</em>

#learnwithBrainly

3 0
3 years ago
X&lt;= -2 on a number line
ruslelena [56]

Answer:

x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}

Please check the attached number line graph.

The number line clearly indicates that the graph is heading towards negative infinity from -2.

Step-by-step explanation:

Given the inequality expression

x ≤ -2

The inequality symbol ' ≤ ' means 'less than or equal to'.

Thus,

x ≤ -2 means x is less than or equal to -2.

In other words,

x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}

Please check the attached number line graph.

The number line clearly indicates that the graph is heading towards negative infinity from -2.

7 0
3 years ago
Find the largest number which divides 94 and 76, leaving a remainder of 4.​
konstantin123 [22]

Answer:

6 for 76 and 5 for 94

Step-by-step explanation:If you divide 76 with 6 the quotient will be 12 and the remainder will be 4 and if you divide 94 by 5 the quotient will be 18 and the remainder will be 4. Thank me later .

3 0
3 years ago
What is the measure of 28?<br> O 90⁰<br> O 60°<br> O 180°<br> O 120°
Vanyuwa [196]

Answer: 120

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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