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Anastasy [175]
2 years ago
8

[asy] size(7cm); draw((1.8,0)--(3.2,0),Arrows); draw((2,0.03)--(2,-0.03)); draw((3,0.03)--(3,-0.03)); for(real i=15/7; i<2.9;

i+=1/7){ draw((i,0.02)--(i,-0.02)); }; label("2",(2,-0.02),S); label("3",(3,-0.02),S); label("$\heartsuit$",(16/7,-0.01),S,red); [/asy] What is the simplest fraction whose value is equal to the number $\textcolor{red}{\heartsuit}$ depicted on this number line?
Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

2 2/7

Step-by-step explanation:

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A fenced in rectangular region with the dimensions 4 yards by 8 yards is suddenly expanded by the same distance in each dimensio
Korolek [52]

Answer:

The distance added to each dimension is 2 yards.

Step-by-step explanation:

The initial dimensions of the rectangular fence is 8 yards by 4 yards.

The initial area of the rectangular fence = area of a rectangle

area of a rectangle = length x width

So that,

The initial area of the fence = 8 x 4

                                              = 32

The initial area of the fence is 32 square yards.

But, with the new dimensions, area = 60 square yards.

(4 + x) x (8 + x) = 60

x^{2} + 12x + 28 = 60

x^{2} + 12x - 32 = 0

(x + 14) = 0 or (x - 2) = 0

x = -14 or x =2

Thus, x = 2

The distance added to each dimension is 2 yards.

4 0
3 years ago
Plz help ASAP number 4 I️ have B and 7 I️ have c plz help with the rest
Veronika [31]

Answer:

5 is interpolation

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4 0
3 years ago
I NEED THIS QUICK! What is the volume of the rectangular prism?
Anika [276]

Answer:

30 3/8

Step-by-step explanation:

3 0
2 years ago
You already owed your friend $5. This morning, you borrowed $4 more, and this afternoon you paid back $3. How much money do you
prisoha [69]
$6 ? 5+4 =9
9-3 =6

I don't know if this is correct but this is how I would do it
6 0
3 years ago
Read 2 more answers
A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that
NISA [10]
Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240
7 0
3 years ago
Read 2 more answers
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