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2 years ago

Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .

Mathematics

2 answers:

Lapatulllka [165]2 years ago

6 0

Answer:

Step-by-step explanation:

substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.

x = - 32

$\frac{-32}{4}$ + 5 = - 8 + 5 = - 3 ← True

x = 8

$\frac{8}{4}$ + 5 = 1 + 5 = 6 ≠ - 3 ← False

x = 32

$\frac{32}{4}$ + 5 = 8 + 5 = 13 ≠ - 3 ← False

the solution is therefore x = - 32

Schach [20]2 years ago

5 0

The answer is C:-32

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A law firm is going to designate associates and partners to a hug new case. The daily rate of charged to the client for each ass

goldenfox [79]

Answer:

There are 3 associates and 5 partners assigned to the case.

Step-by-step explanation:

We know that the combined cost of the unknown number of associates and partners equals $6500 per day, and that the amount of associates and partners assigned to the case equals 8, so we can derive these two equations (where a is associates and p is partners):

500a + 1000p = 6500

a + p = 8

Let's use the second one first to isolate the a..

a + p = 8

If we subtract p from both sides of the equation we get:

a = 8 - p

Now we may use this in our original equation to solve for p

500(8-p) + 1000p = 6500

If we simplify by distribution, we get:

4000 - 500p + 1000p = 6500

Now let's add those two p's together...

4000 + 500p = 6500

And subtract 4000 from both sides to get:

500p = 2500

Now finally, divide both sides of the equation by 500 to get p:

p = 5

We now have the number of partners involved (5), and we know that the amount of associates plus the amount of partners assigned to the case equals 8, so we can plug the amount of partners assigned into the second formula to get a:

a + 5 = 8

And by subtracting 5 from both sides we get...

a = 3

3 0

3 years ago

9 ten thousandths into scientific notation?

Sonja [21]

Hello There!

The number is:
90 000
In scientific notation:
9 x $10^{4}$

Hope This Helps You!
Good Luck :)

- Hannah ❤

5 0

4 years ago

Read 2 more answers

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

Solve for x: 2x + 30 = (30/10) * 5(2x + 3) + 87

Svetllana [295]

Answer:
x = -9.375
im not sure if i interpreted the times symbol right

step-by-step explanation:
2x + 30 = (30/10) • 5(2x + 3) + 87
2x + 30 = 3 • 10x + 15 + 87
2x + 30 = 105 • 10x
-2x -2x
30 = 105 • 8x
-105 -105
-75 = 8x
/8 /8
-9.375 = x ?

4 0

3 years ago

Read 2 more answers

The graph below shows the solution set of which inequality?

GrogVix [38]

Answer:

The answer is the option D

$x^{2} > 4$