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3 years ago

9

Multiply the fraction and simplify the answer 2/5×5/7×1/2

1 answer:

beks73 [17]3 years ago

6 0

2/5 * 5/7 * 1/2 <== Group first pair of fractions to make
  multiplication easier

(2/5 * 5/7) * 1/2 <== Multiply fractions in parentheses, keeping in
  <span> (10/35) </span>   mind all rules of fraction multiplication (i.e.
(2/7)        cross-multiplying, etc.)

2/7 * 1/2 <== Multiply remaining fractions

1/7

The problem simplifies to 1/7.
Hope that helped =)

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The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

Natalka [10]

Answer:

These lines will be perpendicular when m = ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ = ³⁄₂

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3 years ago

In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters dir

storchak [24]

Answer:

It would approximately be 3.73 m/h

Step-by-step explanation:

0.8 mins is 48 seconds

I then divided 8000 by 48 seconds to see how many cm it traveled per second.

It traveled 166.666666667 cm per second

I then converted cm to feet

so it was 5.468066491699474 feet per second

I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.

Then I multiplied it by 60 so it was 0.06213711922 miles per minute.

Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.

I rounded it to the nearest hundredth making it 3.73 m/h

7 0

3 years ago

Use the formula v=5to the third power where v is the volume and s is the edge length of the cube to solve this problem what is t

elena-s [515]

If I'm really it correctly, V = 5^3
v = s^3
s = 5
V = 5*5*5
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4 years ago

Ahmad has containers of two different sizes. The total capacity of 16 containers of one size is x gallons, and the total capacit

Allushta [10]

Answer:

x/8 gallons.

Step-by-step explanation:

The 8 containers have the larger capacity as the 2 totals are x and the other containers are 16 in total.

Capacity of each of the large containers = x/8 gallons.

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2 years ago

HELP! PLEASE! Jackson is building a small rectangular basketball section in his backyard. The length of the section will be 1.25

Misha Larkins [42]

Answer:

Part A) $A=1.25W^2$

Part B) Length: 17.5 feet and Width: 14 feet

Step-by-step explanation:

Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.

Let

L ----> the length of the rectangular basketball section

W ---> the width of the rectangular basketball section

we know that

The area of the rectangular basketball section is equal to

$A=LW$ ----> equation A

The length of the section will be 1.25 times the width of the section

so

$L=1.25W$ ----> equation B

substitute equation B in equation A

$A=(1.25W)W\\A=1.25W^2$

Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?

we have

$A=1.25W^2\\A=245\ ft^2$

so

$245=1.25W^2$

solve for W

$W^2=245/1.25\\W^2=196\\W=14\ ft$

Find the value of L

substitute the value of W in the equation B

$L=1.25(14)=17.5\ ft$

therefore

The dimensions are :

Length: 17.5 feet

Width: 14 feet

8 0

3 years ago