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jonny [76]
3 years ago
6

Solve using substitution. x+y=-9 and -2x-3y=17​

Mathematics
1 answer:
Alona [7]3 years ago
6 0
Answer:
x = -10
y= 1
explanation:
x+y = -9
y = -9 - x
-2x -3 (-9 - x) = 17
-2x +27 +3x = 17
27 + x = 17
x = -10
y = -9 -(-10)
y= -9 + 10
y= 1
(This is just math i did real quick and didnt double check, tell me if its wrong please!)
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The East-Side soccer team has a cylindrical water cooler that is half full. The diameter of the cooler is 12 in. and the height
Hoochie [10]
Volume of a cylinder is given by πr^2h
Volume of the cylindrical water cooler is π x (12/2)^2 x 15 = 3.14 x 36 x 15 = 1,695.6 in^3
Volume of water in the cylindrical cooler is 1,695.6 / 2 = 847.8 in^2

Number of drinking cups that can be filled from the cooler is 847.8/20.14 = 42 cups.
5 0
4 years ago
Help me please find the value of x then find the measure of each unknown angle
neonofarm [45]

The value of x is 103.

The value of x is 59.

The value of x is 134.

The value of x is 12

The value of x is 50

The value of x is 135

<h3>What is the value of x?</h3>

The sum of angles on a straight line add up to 180 degrees.

180 - 77 = 103

180 - 121 = 59

180 - 46 = 134

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 12

24 + 3x + 6 = 180

3x = 180 - 24 - 6

3x = 150

x - 50

\frac{x}{3} + 99 + 36 = 180

\frac{x}{3} = 180 - 36 - 99

\frac{x}{3} = 45

x = 45 x 3

x = 135

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4 0
3 years ago
Given that a, b and c are positive integers, and abc=210, what is least possible sum for a+b+c
Vesnalui [34]

Answer:

The least possible sum for a+b+c is 18.

Step-by-step explanation:

As given a,b and c are positive integers and abc = 210

So, let us consider some situation in which the product abc = 20

  • If a, b and c are 5, 6 and 7 then

        abc = 210 & a+b+c = 18

  • If a, b and c are 3, 7 and 10 then

       abc = 210 & a+b+c = 20

  • If a, b and c are 7, 15 and 2 then

       abc = 24  & a+b+c = 24

  • If a, b and c are 2, 5 and 21 then

        abc = 210  & a+b+c = 28

From all of the above situation the least sum is 18 when a, b and c are 5, 6 and 7 respectively.

7 0
3 years ago
Part 2 - Find the error(s) and solve the problem correctly.
JulijaS [17]

The problem solved correctly as a single logarithm is log_{a} 2x^{3}/y^{2}

<h3>Simplifying Logarithm</h3>

From the question, we are to simplify the given logarithm

The given logarithm is

log_{a} 2x \ + \  2(log_{a} x -log_{a} y)

From the subtraction law of logarithm, we have that

log_{c} a -log_{c} b = log_{c} (a/b)

Thus,

The error in the solution was instead of multiplying, a was supposed to be divided by b

The correct solution is

log_{a} 2x \ + \  2(log_{a} x -log_{a} y)

log_{a} 2x \ + \  2(log_{a} (x/y) )

log_{a} 2x \ + \  log_{a} (x/y)^{2}

log_{a} 2x \ + \  log_{a} (x^{2}/y^{2})

Simplifying further

log_{a} 2x  \times (x^{2}/y^{2})

log_{a} 2x  \times x^{2}/y^{2}

log_{a} 2x^{3}/y^{2}

Hence, the problem solved correctly as a single logarithm is log_{a} 2x^{3}/y^{2}

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Answer:

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