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UNO [17]
3 years ago
13

If point P partitions the segment AB in a 1:2 ratio, where is point P located?

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

If AP and PB are in a 1:2 ratio, it means that PB is twice AB.

So, AP must fit three times into AB, meaning that P must be at one third of the way between A and B.

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What is 7/8 + 3/4 chdjs
TEA [102]

Answer:

15/8 is the right option

8 0
2 years ago
Read 2 more answers
What is the answer to 3s=45?
german
S= 15


3s=45
3s/3=45/3
S=15
You have to divide both sides
5 0
3 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
A scuba diver swam 96 feet beneath the surface of the lake.he then climb up 49 feet .wat is the depth now?
lakkis [162]

Answer:

The depth now is 47 feet below the surface of the lake

Step-by-step explanation:

Step 1: Determine initial depth

Initial depth=surface level-depth below surface

where;

Surface level=0, since its the point of reference

depth below surface=96 feet

replacing;

Initial depth=(0-96)=-96 feet

Step 2: Final depth

Final depth=Initial depth+distance covered

where;

Initial depth=-96 feet

distance covered=+49 feet since the scuba driver moves towards the surface

replacing;

distance covered=-96+49=-47 feet

The depth now is 47 feet below the surface of the lake

5 0
3 years ago
Find the length of the other two side of the isosceles right triangle
Valentin [98]

Answer:

The other two sides are 7 units each.

Step-by-step explanation:

The triangle is isosceles.

The sides are in the ratio of

x : x : x \sqrt{2}

The hypotenuse is

7\sqrt{2}=x \sqrt{2}\\\\x = 7

So, the other two sides are 7 units each.

4 0
3 years ago
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