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mixas84 [53]
3 years ago
15

162 water bottles in nine cases unit rate

Mathematics
1 answer:
solong [7]3 years ago
4 0
162/9= 18 cases , Unit rate: 18
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The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. What are th
wlad13 [49]
Let the two number be x and y.
x+y=-1......i
2x+4y=-10.....ii
solving the simultaneous equation we have:
from equation i, making x the subject we get:
x=-1-y........iii
substituting iii in ii we get:
2(-1-y)+4y=-10
-2-2y+4y=-10
2y=-10+2
2y=-8
y=-8/2=-4
substituting the value of y in iii we get:
x=-1-(-4)
x=-1+4
x=3
therefore the first number is 3 and the second number is -4


3 0
3 years ago
6-Relizar alguna de las operaciones básicas en forma algebraica, clasificando los valores de acuerdo a su tipo.
REY [17]

Please translate to English so that I can help

6 0
3 years ago
A triangle has side lengths of 15 centimeters, 11
Crank

Answer:

scalene

Step-by-step explanation:

a scalene triangle is a triangle that doesn't have any congruent sides For example, this triangle

5 0
3 years ago
Read 2 more answers
Divide: 4/15÷8/25. What is the answer?
dybincka [34]
4/15 = 0.267
8/25 = 0.32
0.267/0.32 = 0.834375
3 0
3 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
8 0
3 years ago
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