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jek_recluse [69]

2 years ago

12

Nora picked 32 carrots from her garden and divided them equally into 8 bunches to give to her neighbors. how many carrots are in

each bunch?

2 answers:

makvit [3.9K]2 years ago

7 0

4 carrots are in each bunch.

Effectus [21]2 years ago

5 0

There are 4 carrots per bunch

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50 points + brainlest if you answer correctly

Mumz [18]

Answer:

<u>5</u><u> </u>is the value which makes the equation true .

Step-by-step explanation:

In this question we have provided an equation that is <u>9</u><u> </u><u>(</u><u> </u><u>3x</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u> </u><u>)</u><u> </u><u>+</u><u> </u><u>1</u><u>5</u><u> </u><u>=</u><u> </u><u>6</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u>4</u><u> </u>. And we are asked to <u>write </u><u>the </u><u>steps </u><u>to </u><u>solve </u><u>the </u><u>equation </u><u>with </u><u>explanation </u> and <u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>X </u><u>.</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

$\longmapsto \quad \: 9(3x - 16) + 15 = 6x - 24$

<u>Step </u><u>1</u><u> </u><u>:</u> Solving parenthesis on left side using distributive property which means multiplying 9 with 3x as well as -16 :

$\longmapsto \quad \:27x - \bold{144 }+ \bold{15 }= 6x - 24$

<u>Step </u><u>2</u><u> </u><u>:</u> Solving like terms on left side that are -144 and 15 :

$\longmapsto \quad \:27x -129 = 6x - 24$

<u>Step </u><u>3 </u><u>:</u> Adding 129 on both sides :

$\longmapsto \quad \:27x - \cancel{129} - \cancel{129} = 6x \bold{ - 24 } + \bold{129}$

Now on cancelling -129 with 129 on left side and solving the terms that are -24 and 129 on right side , We get :

$\longmapsto \quad \:27x = 6x + 105$

<u>Step </u><u>4</u><u> </u><u>:</u> Subtracting with 6x on both sides :

$\longmapsto \quad \: \bold{27x} - \bold{6x} = \cancel{6x} +105 - \cancel{ 6x}$

On calculating further, We get :

$\longmapsto \quad \:21x = 105$

<u>Step </u><u>5</u><u> </u><u>:</u> Now we are Dividing with 21 on both sides so that we can isolate the variable that is x :

$\longmapsto \quad \: \dfrac{ \cancel{21}x}{ \cancel{21}} = \dfrac{105}{ 21}$

Now , by cancelling 21 with 21 on left side , We get :

$\longmapsto \quad \:x = \cancel{\dfrac{105}{21}}$

<u>Step </u><u>6</u><u> </u><u>:</u> Now our final step is to simplify the value of x that is 105/21 . We know that 21 × 5 is equal to 105 . So :

$\longmapsto \quad \: \purple{\underline{\boxed{\frak{ x = 5 }}}}$

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>x </u><u>is </u><u>5</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer by substituting value of x in the given equation . So ,

9 ( 3x - 16 ) + 15 = 6x - 24

9 [ 3 ( 5 ) - 16 ] + 15 = 6 ( 5 ) - 24

9 ( 15 - 16 ) + 15 = 30 - 24

9 ( -1 ) + 15 = 6

-9 + 15 = 6

6 = 6

L.H.S = R.H.S

Hence , Verified .

<u>Therefore</u><u>,</u><u> our</u><u> value</u><u> for</u><u> x</u><u> is</u><u> correct</u><u> </u><u>that </u><u>means</u><u> </u><u>it'll</u><u> </u><u>makes</u><u> </u><u>the </u><u>equation</u><u> true</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

4 0

1 year ago

What is the slope of (1,-2) and (6,-2)

Paha777 [63]

Answer:

?????

Step-by-step explanation:

7 0

3 years ago

At 8:00 A.M., Jackie starts at the north end of a 10-mile trail and begins walking south at an average speed of 2 mph. After a w

Tcecarenko [31]

Answer:

3.08 miles

Step-by-step explanation:

Total distance = 10 miles
Total time = 2 hours
Distance walked = x
Speed walked = 2 mph
Distance cycled = 10 - x
Speed cycled = 15 mph

<u>Using the given data we can have the equation below to the time:</u>

x/2 + (10 - x)/15 = 2
30x/2 + 30(10 - x)/15 = 30(2)
15x + 20 - 2x = 60
13x = 60 - 20
13x = 40
x = 40/13
x = 3.08 miles <em>rounded to 2 decimal places</em>

7 0

2 years ago

A ceramic tile in the shape of a parallelogram has a base of 4 inches and a height of 1.5 inches. What is the area of the tile?

kondor19780726 [428]

Answer:

6 in^2

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

343 is 35% of what number

nexus9112 [7]

I believe you multiple 343 times a hundred and the answer you gt you divide it by 35 and then you get 980?

5 0

2 years ago

Read 2 more answers