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3 years ago

How many ways can you add 3 non-negative integers so the sum is less than 10?

1 answer:

6 0

0+1+9, 0+2+8, 0+3+7, 0+4+6, 0+5+5 gives 27 ways including permutations.
1+1+8, 1+2+7, 1+3+6, 1+4+5 gives 21 ways.
2+2+6, 2+3+5, 2+4+4 gives 12 ways
3+3+4 gives 3 ways
With permutations this gives 27+21+12+3=63 ways.

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Product of 2 numbers increased by 9

tino4ka555 [31]

(X * y) + 9
Xy + 9
you can't reduce it further

~Zoe

4 0

3 years ago

When 5(2x+3)-(x+4) simplified is?

emmasim [6.3K]

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4 Use distributive property

10x-x +15-4 Combine like terms

9x + 11

Hope this helps!

3 0

3 years ago

In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:

icang [17]

Answer:

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

3 0

3 years ago

Given the function f(x) = -5x + 1 + 3, for what values of x is f(x) = -12?

irina1246 [14]

Answer:

$x=\frac{16}{5}$

Step-by-step explanation:

The given function is

$f(x) = -5x +1+3$

Which can be rewritten also as

$f(x) = -5x +4$

We want to find the values of x for which

$f(x) = -12$

In order to do that, we just substitute -12 into f(x), and we solve the equation for x:

$-12 = -5x + 4\\-16 = -5x\\x=\frac{-16}{-5}=\frac{16}{5}$

6 0

4 years ago

use a(t)=-32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with

liberstina [14]

Answer:

144 ft

Step-by-step explanation:

The speed decreases linearly by 32 ft/sec/sec, so will be zero after ...

(96 ft/s)/(32 ft/s²) = 3 s

The average speed over that period is half the initial speed, so the distance covered between the ground and the maximum height is ...

(3 s)(96 ft/s)/2 = 144 ft

_____

<em>Alternate solution</em>

The relationship between velocity and distance for a constant acceleration is ...

$v_f^{2}- v_i^{2} = 2ad$

For an initial velocity of 96 ft/s, a final velocity (at the top of travel) of 0, and the given acceleration, we have ...

$d = \dfrac{v_f^{2}- v_i^{2}}{2a} = \dfrac{0-96^{2}}{2(-32)}= 144\,\dots\ \text{ft}$

4 0

3 years ago

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