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3 years ago

Solve 2(4 x + 3) < 5 x + 21.

Mathematics

1 answer:

marin [14]3 years ago

4 0

X<5 hope this what its asking for.

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Duval County Landscaping uses two different sized trucks to deliver mulch. The first truck can transport x cubic yards of mulch,

Gre4nikov [31]

For this case, the first thing we must do is define variables.
We have then:
x: number of cubic yards of mulch that first truck can transport
y: number of cubic yards of mulch that second truck can transport
Now we write the expression.
The first truck makes 12 trips to a job site:
$12x
$
The second makes 14 trips:
$14y
$
The difference between the first truck and the second truck is:
$12x - 14y$
Answer:
An expression that represents the difference in the total number of cubic yards that the first truck delivers compared to the second is:
$12x - 14y$

8 0

3 years ago

Read 2 more answers

The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?

Serhud [2]

Answer:

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

Step-by-step explanation:

Given - The circumference of the ellipse approximated by $C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }$ where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

$C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi } = \sqrt{\frac{a^{2} + b^{2} }{2} }$

Squaring Both sides, we get

$[\frac{C}{2\pi }]^{2} = [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2} } = {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2} } = {{a^{2} + b^{2} }$

$\frac{C^{2} }{2(\pi )^{2} } = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} } - a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}} = b$

∴ we get

$b = \sqrt{\frac{C^{2} }{2(\pi )^{2} } - a^{2}}$

8 0

3 years ago

16,000*0.09*5 sove this and pls show your work below math Question of th Day

Rainbow [258]

Answer:

720

Step-by-step explanation:

1600*0.09=144

144*5=720

3 0

4 years ago

What is the function of xy=17

Murljashka [212]

Answer:

x = 17 + y

Step-by-step explanation:

Simplifying

x + -1y = 17

Solving

x + -1y = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'y' to each side of the equation.

x + -1y + y = 17 + y

Combine like terms: -1y + y = 0

x + 0 = 17 + y

x = 17 + y

Simplifying

x = 17 + y

6 0

3 years ago

Read 2 more answers

How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) – 2

lubasha [3.4K]

Answer:

3=3 infinity many solutions

Step-by-step explanation:

12x+1=3(4x+1)-1

3x4x 3x1

12x+1=12x+3-2

+2 +2

12x+3=12x+3

-12x -12x

3=3

6 0

3 years ago