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3 years ago

−15x + 60 ≤ 105 AND 14x + 11 ≤ −31

Mathematics

2 answers:

Usimov [2.4K]3 years ago

6 0

Answer:

X=-3

Step-by-step explanation:

almond37 [142]3 years ago

5 0

Answer:

1. -15x + 60 <= 105 2. 14x + 11 <= - 31

Step-by-step explanation:
1. x> = - 3
2. x <= - 3

Isolate the variable by dividing each side by factors that don't contain the variable

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Find the circumference and area of the circle

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Answer:

The area of a circle is
$\pi \: r {}^{2}$
while the circumference is
$\pi \: d$

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Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?

marshall27 [118]

Answer:

2 Superscript 4 x Baseline = 2 Superscript 3 x minus 9

8^(x-3) = 2^(3x-9)

Step-by-step explanation:

2⁴ × 8^(x - 3)

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2⁴ × 2^(3x - 9)

Since the bases are same now, powers can be added

2^(4 + 3x - 9)

2^(3x - 5)

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3 years ago

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Solve for x.<br><br> 2(4x− 9) = 5(x − 4)

cluponka [151]

Answer:

2(4x− 9) = 5(x − 4)

=>8x- 18= 5x-20

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8 0

3 years ago

8.3 x 10 to the 3rd power

masha68 [24]

If your looking at a number to a power (in this case, 3 [cubed]), you multiply the base by the exponent. I would start with the 10 - 10x10x10 = 1,000

Next, multiply your answer by 8.3. You now have 8,300 :)

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3 years ago

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Determine to the nearest and tenth the surface area of a tin can with a radius of 8 centimeters and a height of 16 centimeters

trapecia [35]

Answer:

1206 square centimeters

Step-by-step explanation:

Hello, I can help you with that

a tin is a cylinder,a cylinder is formed by 2 circles anda 1 rectangle

let's remember

Area of the circle

$A=\pi *radius^{2}$

Area of the rectangle

$A_{r}=length *wide\\$

the length of the rectangle is the height of the tin (16 cm)

and the wide is equal to the perimeter of the circle

perimeter of the circle(P)

$P=2*\pi *radius$

so, the area of the rectangle is

$A_{r}=length *wide\\\\A_{r}=heigth *2*\pi *radius$

Step one

find the total area:

the total area is equal to 2 circles + 1 rectangle

$A_{total}=(2* \pi *radius^{2} )+(height*2*\pi *radius)$

Step two

put the values into the equation

height = 16 cm

radius= 8 cm

$A_{total}=(2* \pi *radius^{2} )+(height*2*\pi *radius)\\A_{total}=(2* \pi )+(16*2*\pi *8)\\A_{total}=(128* \pi )+(256*\pi )\\A_{total}= 378 \pi\\ A_{total}=1206.37$

so, the total area is 1206.37 square centimeters

I hope it helps, have a great day.

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3 years ago

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