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e-lub [12.9K]
3 years ago
11

A teacher has 100 pencils in a cup. 16 are more sharp than dull. How many are dull and how many are sharp?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0
X = dull pencils 
y = sharp pencils
x + y = 100
y = x + 16 ~~Plug this back into your original x+y equation.
x+x+16=100 ==> 2x = 84 ==> x = 42. Plug this back into the y = equation
 y = 42 + 16 ==> y = 58.

42 Dull, 58 sharp.
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4 0
3 years ago
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
ki77a [65]

The question is not well presented and the question also requires an attachment which is missing. See complete question below

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 12/24 = 18/16 = ½

b. 12/18 = 16/24 = ⅔

c. 12/16 = 18/24 = ¾

d. 18/12 = 24/16 = 3/2

Answer:

c. 12/16 = 18/24 = ¾

Step-by-step explanation:

Given

Two similar triangles

Required

Ratio of corresponding sides

To solve questions like this, you have to make comparisons between the similar sides of the triangle.

From the attached file,

Side PQ is similar to Side AB

And

Side QR is similar to Side BC

Also from the attached file

PQ = 12 and QR = 18

AB = 16 and BC = 24

Now, the ratio can be calculated.

Ratio = PQ/AB or QR/BC

Ratio = PQ/AB

Ratio = 12/16

Divide numerator and denominator by 4

Ratio = ¾

Or

Ratio = QR/BC

Ratio = 18/24

Divide numerator and denominator by 6

Ratio = ¾.

Combining these results

Ratio = 12/16 = 18/24 = ¾

Hence, option C is correct

6 0
2 years ago
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Answer:

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Answer:

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Step-by-step explanation:

2.5(10x + 8) +3

2.5(10x + 8)

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25x + 20 + 3

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hope dis helps ^-^

8 0
3 years ago
Read 2 more answers
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