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3241004551 [841]
3 years ago
8

Edmond doubled the width of the crate. How do the perimeter and the area of the floor of the new crate compare to those of the o

riginal crate? Original:length = 1.2 metres width = 0.8 metres
Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Answer:

The area would be doubled also

The perimeter will be increased in a factor of 1.4

Step-by-step explanation:

Originally the area of new crate = L * B = 1.2 * 0.8 = 0.96 m^2

perimeter is 2(L+ B) = 2(1.2 + 0.8) = 4 m

Now let’s double the width , it becomes 0.8 * 2 = 1.6 m

Area would be 1.6 * 1.2 = 1.92 m^2 which is two times the previous area

The increased perimeter will be 2(1.6 + 1.2) = 5.6 m

This is an increase in factor of 1.4

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A fraction reduces to 36. If its denominator is 6x5, what is its numerator?
olchik [2.2K]
If you would like to find the numerator of a fraction, you can do this using the following steps:

denominator ... 6 * 5 = 30
numerator ... x = ?

36 = numerator / denominator
36 = x / 30
x = 36 * 30
x = 1080

The correct result would be 1080.
4 0
3 years ago
How many 1-inch cubes will fit into a 3 and 1/2 in rectangular prism?
alexandr402 [8]
Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³

Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes
7 0
3 years ago
Answer this please I need a real answer
Anna11 [10]

Answer:

see explanation

Step-by-step explanation:

(a)

x² + 2x + 1 = 2x² - 2 ( subtract x² + 2x + 1 from both sides

0 = x² - 2x - 3 ← in standard form

0 = (x - 3)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

-----------------------------------

(b)

\frac{x+2}{3} - \frac{2}{15} = \frac{x-2}{5} ( multiply through by 15 to clear the fractions )

5(x + 2) - 2 = 3(x - 2) ← distribute parenthesis on both sides

5x + 10 - 2 = 3x - 6

5x + 8 = 3x - 6 ( subtract 3x from both sides )

2x + 8 = - 6 ( subtract 8 from both sides )

2x = - 14 ( divide both sides by 2 )

x = - 7

--------------------------------------------

(c) Assuming lg means log then using the rules of logarithms

log x^{n} ⇔ nlogx

log x = log y ⇒ x = y

Given

log(2x + 3) = 2logx

log(2x + 3) = log x² , so

x² = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 2x - 3 = 0

(x - 3)(x + 1) = 0

x = 3 , x = - 1

x > 0 then x = 3

6 0
3 years ago
The rate at which sand is poured into a bag is modeled by the function r given by r(t)=15t−2t2, where r(t) is measured in millil
balu736 [363]

Answer:

35 mililiters

Step-by-step explanation:

Given

r(t) = 15t - 2t^2

Required

Accumulated amount from t = 0 to 2

This implies that, we substitute the values of t from 0 to 2 in the function

r(0) = 15*0 - 2*0^2= 0

r(1) = 15*1 - 2*1^2= 13

r(2) = 15*2 - 2*2^2= 22

The accumulated sand (r) is:

t = r(0) + r(1) + r(2)

r = 0 + 13 + 22

r = 35

6 0
3 years ago
4. A'S sporting goods store thinks a $85 tennis racket will cost 6% less next year. HoW much will the Tennis racket coST nexT ye
DIA [1.3K]

Answer:

multiplying by .06 will give you the amount of the increase , which you can add to the original price

to do it in one step , factor in 100% of the original price

the new price is 106% of the original

$85 * 1.06

8 0
3 years ago
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