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kogti [31]
3 years ago
14

A rectangular piece of wood is 12 centimeters longer than it is wide. A strip 1 centimeter wide is cut off all around. This decr

eases the area by 120 square centimeters. What were the original dimensions?
Mathematics
1 answer:
denis-greek [22]3 years ago
7 0

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

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Calculate the speed for a car that went a distance of 125 miles in
Colt1911 [192]

Answer:

To calculate spped you divide the distance by time so 125 divided by 2 will give you 62.5 m/s

Step-by-step explanation:

5 0
2 years ago
Sandra received 15 twenty dollar bills. She spent 3/5 and saved 2/5 How much did she save
sweet [91]

Answer:

300

Step-by-step explanation:

15 * 20 = 300

she spent 3/5 * 300 = 180

and saved 2/5 * 300 = 120

6 0
3 years ago
May you help me with this question please
Lostsunrise [7]

Answer:

<em>Option C</em>

Step-by-step explanation:

Consider each of these graphs. Let us formulate an inequality for each of them, and match the one with an inequality of x > - 14.5;

Graph 1, x > 13.5\\Graph 2, x \geq 14\\Graph 3, x > 14.5\\Graph 4, x \geq 15

Graph 3 is the only one that matches with the inequality provided to us.

* Note that shaded circles are represented by a greater / less than or equal to, and non - shaded circles are represented by a greater / less than sign.

<em>Solution ⇒ Graph 3</em>

5 0
3 years ago
Read 2 more answers
Please help. will give brainliest ​
vichka [17]

Answer:

  • B. The probability that the student received a grade better than C is 0.45

Step-by-step explanation:

<u>Total number of students:</u>

  • 15 + 30 + 35 + 16 + 4 = 100
<h3>Statements</h3>

A.

  • p(<D) = 4/100 = 0.04
  • 0.04 ≠ 0.2
  • Incorrect

B.

  • p(>C) = (30 + 15)/100 = 45/100 = 0.45
  • 0.45 = 0.45
  • Correct

C.

  • p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
  • 0.55 ≠ 0.45
  • Incorrect

D.

  • p(B or C) = (30 + 35)/100 = 65/100 = 0.65
  • 0.65 ≠ 0.35
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6 0
2 years ago
The ice cream shop offers 31 flavors. you order a double scoop cone how many different ways can the clerk put the ice cream on t
Lynna [10]

Answer:

465

Step-by-step explanation:

Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.

_{n}C_{k}=\dfrac{n!}{k!(n-k)!}

Our variables are:

n = 31

k = 2

_{31}C_{2}=\dfrac{31!}{2!(31-2)!}

_{31}C_{2}=\dfrac{31!}{2!29!}

_{31}C_{2}=\dfrac{31!}{2!29!}

_{31}C_{2}=465

The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.

6 0
3 years ago
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