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2 years ago

Substitute x=y+1 into the expression 3x -1 and determine the first step

Mathematics

1 answer:

Kruka [31]2 years ago

8 0

Answer: the solution becomes 3=y+1-1

Step-by-step explanation:

The first step is to combine like terms meaning you subtract 1-1. Then you are left with 3=y.

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Which expression can be used to find the volume of the sphere?

Kryger [21]

Answer:

They used 3.14 for pi:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} (3.14)(5)^3$

Step-by-step explanation:

$V=\frac{4}{3}\pi r^3$ is the volume of a sphere with radius r.

I think that is the diameter given in the picture.

The radius is half the diameter.

So the radius is 5 since the diameter is 10.

Plug in this gives you:

$V=\frac{4}{3} \pi (5)^3$

4 0

2 years ago

Read 2 more answers

Solve the inequality 2x>30+5/4x

insens350 [35]

Answer:

Step-by-step explanation:

$2x > 30+\frac{5}{4x} \\2x-\frac{5}{4x} > 30\\\frac{8x^2-5}{4x} > 30\\case~1\\if~x > 0\\8x^2-5 > 120x\\8x^2-120x > 5\\x^2-15x > \frac{5}{8} \\adding~(-\frac{15}{2} )^2~to~both~sides\\(x-\frac{15}{2} )^2 > \frac{5}{8}+\frac{225}{4} \\(x-\frac{15}{2} )^2 > \frac{455}{8} \\x-\frac{15}{2} < -\sqrt{\frac{455}{8} } \\x < \frac{15}{2}-\sqrt{\frac{455}{8} } \\or~x < 0\\rejected~as~x > 0$

$x-\frac{15}{2} > \sqrt{\frac{455}{8} } \\x > \frac{15}{2} +\sqrt{\frac{455}{8} }$

case~2

$if~x < 0\\8x^2-5 < 120x\\8x^2-120x < 5\\x^2-15x < \frac{5}{8} \\adding~(-\frac{15}{2} )^2\\(x-\frac{15}{2} )^2 < \frac{5}{8} +(-\frac{15}{2} )^2\\|x-\frac{15}{2} | < \frac{5+450}{8} \\-\sqrt{\frac{455}{8} } < x-\frac{15}{2} < \sqrt{\frac{455}{8} } \\\frac{15}{2} -\sqrt{\frac{455}{8} } < x < \frac{15}{2} +\sqrt{\frac{455}{8} } \\but~x < 0\\7.5-\sqrt{\frac{455}{8} } < x < 0$

8 0

1 year ago

What is 1 1/3 x 2/3 in the simplest form?

wlad13 [49]

Answer:8/9

Step-by-step explanation:4/3 * 2/3=8/9

6 0

3 years ago

Read 2 more answers

What is the volume of the cylinder

bekas [8.4K]

Answer:

Step-by-step explanation:

The formula for a cylinder is V = (pi) (r^2) (h) so 12*12 is 144. 144*pi*17 is 2448 pi units cubed.

5 0

2 years ago

Find the values of a and b.<br> a<br> The diagram is not drawn to scale.<br> a =<br> U<br> b =<br> U

nata0808 [166]

Answer:

a = 36°

b = 144°

Step-by-step explanation:

<h3><u>Method 1</u></h3>

Number of sides = n = 10

Sum of interior angles = (n - 2) × 180°

= (10 - 2) × 180°

= 8 × 180°

= 1440°

Interior angle = b = sum of interior angles ÷ number of sides

b = 1440 ÷ 10

b = 144°

a + b = 180° (Sum of angles in the straight line)

a + 144° = 180°

a + 144° - 144° = 180° - 144°

a = 36°

<h3><u>Method 2</u></h3>

Number of sides = 10

Exterior angle = a = 360° ÷ Number of sides

a = 360° ÷ 10

a = 36°

a + b = 180° (Sum of angles in the straight line)

36° + b = 180°

36° + b - 36° = 180° - 36°

b = 144°

7 0

2 years ago