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4 years ago

Solve the inequality. 4(x – 3) – 2x ≥ 5 – (x + 2)

Mathematics

2 answers:

Anni [7]4 years ago

6 0

$4(x - 3) - 2x \geq5 - (x + 2)\\
4x-12-2x\geq5-x-2\\
3x\geq15\\
x\geq5
$

Sidana [21]4 years ago

3 0

$4(x-3)-2x\geq5-(x+2)\\\\4x-12-2x\geq5-x-2\\\\2x-12\geq3-x\ \ \ \ /+12\\\\2x\geq15-x\ \ \ \ /+x\\\\3x\geq15\ \ \ \ /:3\\\\x\geq5\\\\x\in\left< 5;\ \infty\right)$

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Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will

marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

$C=2\pi r$

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

$C=2\pi (5)=10\pi\text{ feet}$

The formula for the area of a circle is:

$A=\pi r^2$

Substitute 5 for r:

$A=\pi (5)^2$

Square and simplify:

$A=25\pi \text{ square feet}$

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

$C=2\pi (6)$

Multiply:

$C=12\pi\text{ feet}$

Substitute 6 for r for the area formula:

$A=\pi(6)^2$

Square and simplify:

$A=36\pi\text{ square feet}$

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0

3 years ago

Please answer this question

ICE Princess25 [194]

Answer:

A: 77

Step-by-step explanation:

360 - 109 - 137 - 37 = 77

3 0

3 years ago

Please answer plz

djyliett [7]

x + y = 3.36 --> the boys are splitting $3.36

x = 3y - .12 --> one boy received $.12 less than 3 times as much as the other

--> substitute the second equation for the x in the first equation

(3y - .12) + y = 3.36 --> combine like terms

4y - .12 = 3.36 --> add .12 to both sides of the equation

4y = 3.48 --> divide both sides by 4

y = .87

the other boy gets $0.87

substitute into x = 3y - 12

x = 3(.87) - .12

x = 2.61 - .12

x = 2.49

the first boy gets $2.49

4 0

3 years ago

Is y=y+8 even, odd, or neither

SIZIF [17.4K]

The expression y = y + 8 does neither represent an odd number nor an even number.

<h3>Does represent a given equation an even or odd number or neither?</h3>

In this problem we must check if a given algebraic equation represents an even number or an odd number or neither by using algebraic means. Even numbers are integers, whose last digit is 0, 2, 4, 6 or 8, whereas odd numbers are integers, whose last digit is 1, 3, 5, 7 or 9. Now we proceed to check the expression:

y = y + 8 Given

y + (- y) = 8 Compatibility with addition / Existence of additive inverse / Modulative property

0 = 8 Existence of additive inverse / Modulative property / Result

The expression y = y + 8 does neither represent an odd number nor an even number.

To learn more on even numbers: brainly.com/question/2289438

#SPJ1

3 0

1 year ago

Can someone help me asap

kompoz [17]

3x + 4y <span>≥ 90

hope it helps</span>

8 0

3 years ago