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AleksAgata [21]
4 years ago
5

Find the midpoint of AB given A(-1, 4) and B(7, 6).

Mathematics
1 answer:
dangina [55]4 years ago
5 0
When finding the midpoint, this would signify that we would find the point in the (middle) of <span>A(-1, 4) and B(7, 6).

Lets graph these following coordinates.

Your answer: </span>\boxed{\bf{3,5}}

Reason/Justification: 

Look at the attachment below!

I hope this helps you!

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

or, the amount invested in bonds is $35,000.

4 0
3 years ago
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Directions: Show ALL work. NO WORK=NO CREDIT!
Savatey [412]

Answer:

$18.75

Step-by-step explanation:

75 divided among the 4 sisters equally

8 0
3 years ago
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Which is bigger 0.6 or 2/3
lions [1.4K]
2/3 would be bigger
I hope that helps
8 0
3 years ago
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3(x+1)+5(x+1)=64<br> What is x
Karo-lina-s [1.5K]

Answer:

x=7

Step-by-step explanation:

3(x+1)+5(x+1)=64

(3+5)(x+1)=64

8(x+1)=64

8x+8=64

8x=56

x=7

6 0
3 years ago
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5y + 2 + 6 + 2y 5y + 2(y + 3) + 2 combining like terms 6y − y + 2y + 10 − 4 + 2 Commutative Property Distributive Property arrow
Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

= 6y − y + 2y + 10 − 4 + 2

The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

4 0
3 years ago
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