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Slav-nsk [51]
2 years ago
11

Helpquestion on the image.​

Mathematics
1 answer:
Simora [160]2 years ago
8 0

Answer:

  no

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

  hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

  = 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

  = 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

  17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.

The pot will not fit into the plant pot holder.

_____

You can use your calculator to find the free space around the pot by computing ...

  20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

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Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find
olga55 [171]

Answer:

14\text{ and }16

Step-by-step explanation:

Let the smaller number be x. Since they are consecutive even numbers, the larger number can be represented by x+2.

Therefore, we have the following equation:

8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}

Thus, the larger number is x+2=\boxed{16}

6 0
2 years ago
A snowboarder traveled at a speed of 12 meters per second for 15 seconds. How far did the snowboarder travel?
pickupchik [31]
Multiply 12 by 15

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7 0
3 years ago
Read 2 more answers
Replace ? with an expression that will make the equation valid.
AlexFokin [52]

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

6 0
3 years ago
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Alexus [3.1K]

Answer: 1/6 of a pound

Step-by-step explanation:

Well, the starting expression is 7/12-1/6-1/4

You need to find the LCD (12):

7/12-2/12-3/12

7-2-3=2/12

1/6 pounds

3 0
3 years ago
if i deposit 600 on a bank account and after 6 years the balance is 618. what is my simple interest rate.
ELEN [110]

You would get $3 every year.

That is because since you got $18 in 6 years you would need to divide 6 into 18 and you would get $3 every year

6 0
3 years ago
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