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4 years ago

If h = -3, which inequality is true?

Mathematics

2 answers:

Kruka [31]4 years ago

4 0

Answer:

Step-by-step explanation:

3 - h <10

3 - (-3) < 10

3+ 3 < 10

6 < 10

Gnoma [55]4 years ago

3 0

Answer:3-h<10

Step-by-step explanation:

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Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley

lisabon 2012 [21]

Answer:

Riley has 72 tokens

Step-by-step explanation:

System of Equations

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

$x+y=135$

Solving for y

$y=135-x$

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

$\displaystyle \frac{x}{y}=\frac{8}{7}$

Or equivalently

$7x=8y$

Replacing y from the first equation

$7x=8(135-x)$

Operating

$7x=1080-8x$

Simplifying

$15x=1080$

$\boxed{x=72}$

Riley has 72 tokens

3 0

4 years ago

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i

Alex_Xolod [135]

For this we almost have the following equation:
$h = -16t ^ 2 + 25
$
We must match the equation to zero:
$-16t ^ 2 + 25 = 0
$
From here, we clear the value of t.
We have then:
$16t ^ 2 = 25

t ^ 2 = 25/16$
We discard the negative root because we are looking for time:
$t = \sqrt{ \frac{25}{16} } 

$
$t = \frac{5}{4}$
Answer:
it will take him to reach the ground about:
$t = \frac{5}{4}$ seconds