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matrenka [14]
3 years ago
14

Target 3D.2 - Proposition True or False

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0
I would say no because the number 1 at any power would be 1 for example 1 to the power of 3 is 1 x 1 x 1 which would still be one
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Jack, walker, and trust have $100 altogether. Jack has $20 more than Walker. Trust has $14 more than walker. How much money does
nekit [7.7K]

Answer: Jack has $42

Step-by-step explanation:

Let be "j" the amount of money in dollars that Jack has, "w"  the amount of money in dollars that Walker has and "t"  the amount of money in dollars that Trust has.

You know that they have $100 altogether, then you can write the following equation:

j+w+t=100   [Equation 1]

Jack has $20 more than Walker, then:

j=w+20      [Equation 2]

And  Trust has $14 more than walker, then you can write this equation:

t=w+14      [Equation 3]

Substitute the  Equation 2 and the  Equation 2 into the first one:

j+w+t=100\\\\(w+20)+w+(w+14)=100

Now, solve fo "w":

w+20+w+w+14=100\\\\3w+34=100\\\\3w=100-34\\\\w=\frac{66}{3}\\\\w=22

Finally, substiute the value of "w" into the Equation 2 and evaluate:

j=w+20\\\\j=22+20\\\\j=42

7 0
3 years ago
Some one help me on this one
aleksandrvk [35]
The answer is III only, or D. 


We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D. 
5 0
3 years ago
For which of the following compound inequalities is there no solution?
meriva

Answer:

A

Step-by-step explanation:

3m - 12 > 30 \text{ and } -6m\geq  24

\boxed{3m - 12 > 30 \wedge -6m\geq  24}

m>14  \wedge  m\leq -4

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no m that satisfy the compound inequality.

<u>Note: the signal change because we divided by negative number.</u>

4 0
3 years ago
Read 2 more answers
The curtis car traveled an average of 21 miles per gallon of gas. At that rate, how far could the car travel on a full tank of 2
LenaWriter [7]
(21 miles/gallon) x (21 gallons) = 21 x 21 = 441 miles
6 0
4 years ago
Read 2 more answers
Find the equation of the line (in slope intercept form) with xx-intercept (4.5,0) and yy-intercept (0,-5.4) .
GaryK [48]
Hello : 
let the equation : y = ax+b
<span>xx-intercept (4.5,0) :    0 = a(4.5) +b .... (1)
</span><span>yy-intercept (0,-5.4) .: - 5.4 = a(0)+ b  .....(2)
by (2) : b = - 5.4
subsct in (1) : 4.5a -5.4 = 0
a = 5.4/4.5
a = 54/45
a = 6/5
</span><span>the equation of the line (in slope intercept form) is : y =(6/5)x - 5.4</span>
8 0
4 years ago
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