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pochemuha
3 years ago
12

The difference between one-half of a number and one-sixth of the number is equal to ten more than one-eighth of that number.

Mathematics
2 answers:
sweet [91]3 years ago
8 0
1/2n - 1/6n = 1/8n + 10
Goshia [24]3 years ago
4 0

Answer:

1/2x - 1/6x = 10 + 1/8x.

Step-by-step explanation:

This is a world problem that involves the use of equality to derive the needed equation for solution.

Lets break down the word problem step by step:

  • Let set x to the number we are referring to, arbitrary number = x.
  • one half of a number=> 1/2x.
  • one sixth of a number => 1/6x.
  • Difference between => 1/2x - 1/6x.
  • equals to => 1/2x-1/6x = .
  • tem more than one-eighth of that number => 1/2x - 1/6x = 10 + 1/8x

This equation can be  further simplified by collecting of liked terms to one side (LHS/RHS) of the equation.

Simplified Equation => 5/24x = 10.

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Jim's cat can run 4 blocks in 15 seconds. Juanita says one of her cats can run 3 blocks in 11
vagabundo [1.1K]

Answer:

Juanita's cat is faster because it can run more blocks in a second

Step-by-step explanation:

Take the number of blocks and divide by the number of seconds

Jim:

4 blocks/ 15 seconds

.26666.... block per second

Juanita

3 blocks / 11 seconds

.2727...... blocks per second

Juanita's cat is faster because it can run more blocks in a second

5 0
2 years ago
What is the constant of proportionality in the equation StartFraction x over y EndFraction = StartFraction 2 over 9 EndFraction?
ratelena [41]

Answer:

ITS 5/4

Step-by-step explanation:

3 0
3 years ago
HELPPP ALGEBRAAAAAAA
Anton [14]

Answer:

Diagram A

Step-by-step explanation:

shows both 10.4 and 2.6

3 0
2 years ago
Read 2 more answers
Given STUV is a rectangle. Which of the following proves △WVS≅△WUT?
arsen [322]

Option B is the correct answer.

ΔWVS ≅ ΔWUT

Solution:

Given STUV is a rectangle.

To prove that ΔWVS ≅ ΔWUT:

Step 1: Given STUV is a rectangle.

Step 2: All the angles in the rectangle are right angles.

So that, ∠V = ∠U = 90°

Step 3: ∠V ≅ ∠U (Angle)

Step 4: All rectangles are parallelograms.

Therefore STUV is a parallelogram.

Step 5: In parallelogram opposite sides are congruent.

Therefore, SV ≅ TU (Side)

Step 6: Given WV ≅ WU (Side)

Step 7: From step 3, step 5 and step 6

ΔWVS ≅ ΔWUT by SAS congruence rule.

Option B is the correct answer.

3 0
3 years ago
9. Express 400cm3 as a fraction of 2 litres
Delvig [45]

Answer:

\boxed{\red{\frac{1}{5} }}

Step-by-step explanation:

400 {cm}^{3}  = 400ml \\ 2l = 2000ml

So, now we have to write 400cm^3 as a fraction of 2<em>l</em>

<em>\frac{400}{2000}   =  \frac{4}{20}  =  \frac{1}{5}</em>

5 0
3 years ago
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