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2 years ago

What is the answer of 11 6/9 - 4 4/9

Mathematics

2 answers:

yaroslaw [1]2 years ago

8 0

<h3>given:</h3>

$11 \frac{6}{9} - 4 \frac{4}{9}$

<h3>solution:</h3>

$11 \frac{6}{9} - 4 \frac{4}{9}$

$= \frac{35}{3} - \frac{40}{9}$

$= \frac{(35 \times 9) - (40 \times 30)}{3 \times 9}$

$= \frac{315 - 120}{27}$

$= \frac{195}{27}$

$= 7 \frac{2}{9}$

IrinaK [193]2 years ago

4 0

Answer:

$7 \frac{2}{9}$

Step-by-step explanation:

here is your answer

Calculation steps:

$11 \frac{6}{9} - 4 \frac{4}{9}$

$= (14 - 4) + ( \frac{6}{9} - \frac{4}{9} )$

$= 7 + \frac{6 - 4}{9}$

$= 7 + \frac{2}{9}$

$7 \frac{2}{9}$

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A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t

ipn [44]

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

L is its length

W is its width

H is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

a height of 3.5 m

∴ L = 4 m

∴ W = 12 m

∴ H = 3.5 m

∵ V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

∴ The volume of the tank = 168 m³

∵ The tank is filled with water $\frac{2}{3}$ of its capacity

→ That means the volume of the water is $\frac{2}{3}$ the volume of the tank

∵ The volume of the water = $\frac{2}{3}$ the volume of the tank

∴ The volume of the water = $\frac{2}{3}$ × 168

∴ The volume of the water = 112 m³

∴ The volume of the water in the tank is 112 m³

3 0

3 years ago

Given: Angle 2 is 65 degrees. What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.

lesya [120]

Answer:

$\angle 4 = 115^{\circ}$

$\angle 3 = 65^{\circ}$

$\angle 7 = 65^{\circ}$

Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

$\angle 4 = 115^{\circ}$

Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

The relationship between both angles is that they are complementary angles

$\angle 3 = 65^{\circ}$

Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

$\angle 7 = \angle 3$

The relationship between both angles is that they are alternate exterior angles.

So:

$\angle 7 = 65^{\circ}$

7 0

2 years ago

You spent these amounts on natural gas for the past four months: $112, $108, $99, $89. what should you budget for natural gas th

miskamm [114]

If you wanted to compute for your budget for natural gas this month using the data you have recorded about your consumption of natural gas for the past four months, the best estimate to be budgeted this month would be the average consumption for the past 4 months. To get the average, you have to add the four numbers and divide it by four.

$112 + $108 + $99 + $89 = $408/4 = $102

7 0

3 years ago

Read 2 more answers

Answer this: x=6 <br> y=-2<br> -8x-4y+x

olga55 [171]

Answer:

-34

Step-by-step explanation:

first do substitution: -8 · 6 + -4 · -2 + 6

next do the multiplication: -48 + 8 + 6

add: -34

hope this helps!!!

7 0

3 years ago

Read 2 more answers

Solve the system of equations.

lys-0071 [83]

Step-by-step explanation:

Solve the system via elimination (add the equations):

-10y + 9x = -9

+ (10y + 5x = -5)

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

14x = -14

x = -1

Plug in the value for 'x' into the second equation:

-10y + 5(-1) = -5

Solve for y:

-10y - 5 = -5

--> -10y = 0

--> y = 0

x = -1

y = 0

6 0

3 years ago