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2 years ago

Consider the Inequalities X >7 and X < 12 select all the values that satisfy both Inequalities

Mathematics

1 answer:

Maksim231197 [3]2 years ago

7 0

Answer:

9;10

Step-by-step explanation:

What we can first do is make them into one double sided inequality and then interpret it from there.

After combining them we get: 7<x<12

This means that any number between 7 and 12 can be picked.

Keep in mind, this means that 7 and 12 cannot be picked, they have to be in between.

Therefore, we get our aswers of 9 and 10!

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If you go out to eat with 3 friends and your meal was $72.50, what should you leave for gratuninty if you want to tip your waite

kvv77 [185]

Answer:

$10.88 or round up to $11

Step-by-step explanation:

Since 15 is expressed as a percent, you can convert it to a decimal.

.15, which can also be 15/100 if you were to write it as a fraction.

You are trying to find 15% of 72.50 so you would need to multiply your new decimal (.15) to your meal total. This will give you 10.875 or 10.88.

5 0

3 years ago

Homework due at 12:00 I Need Help

Leya [2.2K]

Answer:

k = - 7.5

Step-by-step explanation:

Slope "m" of a line through points

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

is m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Slopes of perpendicular lines are opposite reciprocal: $m_{1}$ $m_{2}$ = - 1

~~~~~~~~~~~~~~~

The slope of a line through points (0, 7) and (2, 10)

$m_{1}$ = $\frac{10-7}{2-0}$ = $\frac{3}{2}$

Slope of perpendicular line through points (3, 5) and (k, 12) is $m_{2}$ = $-\frac{2}{3}$

or $m_{2}$ = $\frac{12-5}{k-3}$

$\frac{7}{k-3}$ = $-\frac{2}{3}$

2(k - 3) = - 21

k - 3 = - 10.5

k = - 7.5

6 0

2 years ago

Solve for x and y. 4x-3y=16 -2x+4y=-2 DUE 2/7/17!

Trava [24]

$\left \{ {{4x-3y=16\:(I)} \atop {-2x+4y=-2\:(II)}} \right.$

Multiply the 2nd equation by (-4). This will eliminate the x's when you add the two new equations together.
 $\left \{ {{4x-3y=16\:\:\:\:\:\:\:\:\:\:} \atop {-2x+4y=-2\:*(-4)}} \right.$
$\left \{ {{\diagup\!\!\!\!4x-3y=16} \atop {-\diagup\!\!\!\!4x+8y=-4}} \right.$
--------------------
$5y = 12$
$\boxed{\boxed{y = \frac{12}{5}}}\end{array}}\qquad\quad\checkmark$

Let's replace the value found in the first equation:
$4x-3y=16\:(I)$
$4x-3*( \frac{12}{5}) =16$
$4x - \frac{36}{5} = 16$
least common multiple (5)
$\frac{20x}{\diagup\!\!\!\!5} - \frac{36}{\diagup\!\!\!\!5} = \frac{80}{\diagup\!\!\!\!5}$
$20x - 36 = 80$
$20x = 80 + 36$
$20x = 116$
$x = \frac{116}{20} \frac{\div4}{\div4} \to\: \boxed{\boxed{x = \frac{29}{5} }}\end{array}}\qquad\quad\checkmark$

4 0

3 years ago

You and your friend collect football cards. You tell your friend that you have 3 times the number of cards he has. Your friend r

fiasKO [112]

Easy I guess ..
I ll try to help ..
Here we go ..
The cards you have is N
The cards he has is n
you have 3 times the number of cards he has
This means N=3n
 you only have 80 more football cards then he does
This means N=n+80
But we already know that N=3n
So 3n=n+80
which is 2n=80
n=40
So your friend has only 40 cards and you have 3*40= 120 cards

Best luck

Wise

4 0

3 years ago

Which of the following represents

stealth61 [152]

Answer:

The correct option is (c).

Step-by-step explanation:

The given number is -0.904.

We need to represent the number in scientific notation.

Any number can be written in scientific notation as follows :

$a\times 10^b$

Where

a is a real number and b is an integer

We can write it as follows :

$-0.904=-9.04\times 10^{-1}$

Hence, the correct option is (c).

6 0

2 years ago