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Black_prince [1.1K]

2 years ago

14

-4x + 7 > x - 13 Graph the solution to this inequality on the number line

1 answer:

Alina [70]2 years ago

6 0

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

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The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

5 0

4 years ago

A tv programme begins at 7:45 and ends 50 minutes later what time does it finish

faust18 [17]

Answer:

8:35

Step-by-step explanation:

7:45 + 50minutes=

8:35

7 0

3 years ago

Read 2 more answers

There was a bowl with 120 candies in it. Billy, Bob and Buck found the bowl. Billy ate 2/12 of the candies, Bob ate 3/12 and Buc

blagie [28]

Answer:

20 candies left.

Step-by-step explanation:

5 0

3 years ago

Help please . 10 points

V125BC [204]

Answer:

xtsLztfahlzkfxsh bldg MS much k stick us rich l dips ssssseereeeeeexxxxxxxx

3 0

3 years ago

Solve the following equation for x. Show each step. <br> 5x + 2 = 3x + 4(2x - 1)

Reptile [31]

Answer:

$x=1$

Step-by-step explanation:

Start with:

$5x+2=3x+4(2x-1)$

Distribute the $4$ into $(2x-1)$ :

$5x+2=3x+8x-4$

Combine like terms:

$5x+2=11x-4$

Add $4$ to both sides of the equation:

$5x+6=11x$

Subtract $5x$ from both sides of the equation:

$6=6x$

Divide both sides of the equation by the coefficient of $x$ , which is $6$ :

$1=x$

or

$x=1$

6 0

3 years ago

Read 2 more answers