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11111nata11111 [884]
3 years ago
10

To make the Leaning Tower of Pisa from spaghetti, Mrs. Robinson bought 2.5 kilograms of spaghetti. Her students were able to mak

e 10 leaning towers in total. How many kilograms of spaghetti does it take to make 1 leaning tower?
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Answer:

<h2>0.25 kg.</h2>

Step-by-step explanation:

2.5 kg = 10 leaning tower

here students can make 10 leaning towers.

find;

How many kilograms of spaghetti does it take to make 1 leaning tower?

solution:

 

<u>         2.5 kg       </u>

10 leaning towers

= 0.25 kg per leaning tower

therefore,

Mrs. Robinsons can take 0.25 kg of spaghetti to make 1 leaning tower.

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3x +12 =90 what is x
castortr0y [4]

Answer:

x=26

Step-by-step explanation:

3x +12 =90

subtract 12 from each side

3x=78

divide 3 from each side

x=26

3 0
3 years ago
Read 2 more answers
The measure of an angle's supplement is 44 less than the measure of the angle.
Luden [163]

Answer:

< 1 = 112 degrees

< 2 = 68 degrees

Step-by-step explanation:

< 1 = x

< 2 = x - 44

x + x - 44 = 180

2x = 180 + 44

x = 224/2

x = 112

5 0
2 years ago
Find all roots given that x = 3 + i is a solution. <br><br> x^4 - 10x^3 + 29x^2 - 10x - 50 = 0
Basile [38]

Answer:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

Step-by-step explanation:

We know that given the polynomial with real coefficients, if x = 3 + i is a root, then x = 3 - i must be another root. These two roots can combine multiplicative factors as shown:

(x - 3 - i) * (x - 3 + i) = (x-3)^2 + 1 = x^2 - 6 x + 9 + 1 = x^2 - 6 x + 10

Then we divide the given polynomial: x^4 - 10x^3 + 29x^2 - 10x - 50  by the quadratic one we just found, and get a perfect division:

{x^4 - 10x^3 + 29x^2 - 10x - 50} / {x^2 - 6 x + 10} = x^2 - 4 x - 5

which can be factored out by grouping as shown below:

x^2 - 4 x - 5 = x^2 - 5 x + x - 5 = x (x - 5) + x - 5 = (x - 5 ) * (x + 1)

then the full factor form of the quartic polynomial given is:

(x - 3 - i) * (x - 3 + i) * (x - 5 ) * (x + 1)

and therefore the associated roots are:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

5 0
3 years ago
Today, Sean left home at 8\text{ a.m.}8 a.m.8, start text, space, a, point, m, point, end text, drove to work, and worked from 9
EastWind [94]

Answer:

why yes

Step-by-step explanation:

8 0
3 years ago
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Hannah was shopping for a summer dress at a store near her home. On the rack where she found the dress she wanted, she saw two s
Rudiy27

Answer:

<u>First Part:</u>  Hannah will pay $45.25

<u>Second Part:</u>  Hannah will pay $46.75

Step-by-step explanation:

<u>Complete Question:</u>

<em>Hannah was shopping for a summer dress at a store near her home. On the rack where she found the dress she wanted, she saw two signs. The first one read, “Clearance: 15% off.” The second one read, “$10 off—Instant Savings.” The original price of the dress was $65.00. Hannah lives in Oregon, where there is no sales tax. </em>

  • <em> How much will Hannah pay for the dress if the 15% discount is applied before the $10 discount? </em>
  • <em> How much will Hannah pay for the dress if the $10 discount is applied before the 15% discount?</em>

<em />

<u>First Part:</u>

First, 15% off, then $10 off. So

65 - (0.15)(65) = $55.25

Now $10 off makes it:

55.25 - 10 = $45.25

Hannah will pay $45.25

<u>Second Part:</u>

Now, first we have to apply $10 discount, so:

65 - 10 = $55

Now, we apply 15% discount, thus:

55 - (0.15)(55) = $46.75

Hannah will pay $46.75

5 0
3 years ago
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