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inn [45]
2 years ago
15

N

Mathematics
1 answer:
aksik [14]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

q = quarters       value   = .25 q

n = nickels =  4q     value = .05 (4q)

    summed = 12.60

<u>.25q   + .05(4q) = 12.60  </u>    <====== <u>can be used to solve the problem</u>

.45q = 12.60

<u>q = 28     quarters     then nickels = 4q = 112  </u>

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3 times a number is 54 less than the square of that number. Find the positive solution.
OlgaM077 [116]

Answer:x=9

Step-by-step explanation:

To find the positive solution for this, then we will say;

Let the number be x

3x<x^2-54

x^2-3x-54<0

Then we are going to factorise

x^2-9x+6x-54=0

(x^2-9x)+(6x-54)=0

x(x-9)+6(x-9)=0

(x+6)(x-9)=0

Therefore, The positive solution for this is: x=9

4 0
3 years ago
A What is the slope of a line that passes through the points (1, 2) &amp; (4, 12​
Kamila [148]

Answer:

10/3 or 3.33333

Step-by-step explanation:

<u>Images Below</u>

<u />

Hope this Helps

8 0
2 years ago
A toy rocket is a composite of a cylindrical body with a cone for a nose. The base of the cylinder and cone are the same size. C
inysia [295]

The volume of the entire rocket given the volumes of the cylindrical body and the cone nose is 117.23 in³.

<h3>What is the volume of the entire rocket?</h3>

The volume of the entire rocket is the sum of the volume of the cylinder and the volume of the cone.

Volume of the cylinder = πr²h

Where:

  • π = 3.14
  • r = radius 2
  • h= height = 12 - 4 = 8 inches

3.14 x 2² x 8 = 100.48 in³

Volume of the cone = 1/3 πr²h

1/3 x 2² x 3.14 x 4 = 16.75 in³

Volume of the rocket = 100.48 + 16.75 = 117.23 in³

To learn more about the volume of a cone, please check: brainly.com/question/13705125

#SPJ1

6 0
2 years ago
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much
tiny-mole [99]

Answer:

$18.28

Step-by-step explanation:

Step one:

given data

Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag

let the total money be x

so  mathematically

x-1/8*x= 16

solve for x

x-x/8= 16

8x-x/8= 16

7x/8=16

cross multiply

7x= 8*16

7x=128

divide both sides by 7

x=128/7

x=$18.28

7 0
3 years ago
Chocolate chip and peanut butter cookies are randomly chosen from a cookie jar and placed onto a plate. The first plate had four
soldier1979 [14.2K]

Answer:

3 peanut cookies

Step-by-step explanation:

Given that :

Plate 1:

Number of chocolate chip = 4

Number of peanut butter cookies = 1

Probability of drawing chocolate chip cookies from plate 1 :

Probability =( number of required outcome / Total possible outcomes)

P(chocolate chip) = 4 / 5

Plate 2:

Number of chocolate chip = 2

Number of peanut butter cookies = p

P(chocolate chip) = 2 / (2 + p)

Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25

(4/5) * 2/(2+p) = 8/ 25

8 / (10 + 5p) = 8/ 25

8(10 + 5p) = 8 * 25

80 + 40p = 200

40p = 200 - 80

40p = 120

p = 3

7 0
2 years ago
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