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yKpoI14uk [10]
3 years ago
6

Name 5 that are near, but not equivalent to, 4/12

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
7 0
4/12ths is 1/3 when simplified. 1/3 in decimal form is .33

1/5; 1/5 is .2

¼; ¼ is .25

5/25: 5/25 is .2

6/24; 6/24 is .25

all of these fractions are near .33 but aren't equivalent to it.
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the total cost of 8 pens and 9 books is $30.05. if the cost of a pen is $a, and a book is .90 MORE expensive. find A. Give your
AysviL [449]

Answer:

2 Answers By Expert Tutors ... Let's set x = cost of books and y = cost of pens. ... In algebra, this can be written as x + y = 18. ... Using x and y, we get 1 book and 2 pens costs $21, or x + 2y = 21 ... The pen must cost $3 because we are adding $3 to the total when we ... Please provide a valid phone number.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Given a rectangle with length of (2x+9)cm and width of (3x+1)cm.Two squares, each with sides x cm is removed from the rectangle.
il63 [147K]

Answer: The length is 13cm and the width is 7cm

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = W*L

In this case we have:

L = (2*x + 9) cm

W=(3*x + 1) cm

Then the area of the rectangle is:

A = (2*x + 9)*(3*x + 1) cm^2

A = (6*x^2 + 2*x + 27*x + 9) cm^2

A = (6*x^2 + 29*x + 9) cm^2

now we remove two squares with sides of x cm

The area of each one of these squares is (x cm)*(x cm)  = x^2 cm^2

Then the area of the figure will be:

area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2

area = (4*x^2 + 29*x + 9) cm^2

Now we know that the area of this shape is 83 cm^2, then we need to solve:

83 cm^2 = (4*x^2 + 29*x + 9) cm^2

0 =  (4*x^2 + 29*x + 9) cm^2 - 83 cm^2

0 = (4*x^2 + 29*x - 74) cm^2

Then we need to solve:

0 = 4*x^2 + 29*x - 74

Here we can use Bhaskara's equation, the solutions of this equation are given by:

x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)}  }{2*4} = \frac{-29 \pm 45}{8}

Then the two solutions are:

x = (-29 - 45)/8 = -9.25  (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).

The other solution is:

x = (-29 + 45)/8 = 2

x = 2

Then the length and width of the rectangle are:

Length = (2*2 + 9)cm = 13 cm

Width = (3*2 + 1)cm = 7cm

4 0
2 years ago
Find the distance between the points (-2, 4) and (5, 4). <br> 3<br><br> 7 <br><br> 8
Lina20 [59]
Try this solution:
distance= \sqrt{(5-(-2)^2+(4-4)^2} = \sqrt{49} =7.

answer: 7
8 0
3 years ago
If there are 36 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
marishachu [46]

Answer:

You have the two numbers, so 36/60 is the ratio of boys to girls.

Step-by-step explanation:

You will want to simplify those numbers (reduce to lowest terms).

8 0
3 years ago
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Which is the best buy?<br> Pack of 8 apples for £1.65<br> Pack of 6 apples for £1.25
Sliva [168]

Answer:

Pack of 6 apples for £1.65 is better because the price of 1 apple is less in this answer.

7 0
2 years ago
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