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3 years ago

Use the information to answer questions 8 and 9.

Mathematics

1 answer:

inessss [21]3 years ago

8 0

Answer:

Step-by-step explanation:

the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.

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How do you solve this?

solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

Solving by substitution

Solve either equation for one variable. For example,

7M - 2t = -30 ⇒ t = (7M + 30)/2

Substitute this into the other equation and solve for M.

5 × (7M + 30)/2 - 12M = 115

5 (7M + 30) - 24M = 230

35M + 150 - 24M = 230

11M = 80

M = 80/11

Now solve for t.

t = (7 × (80/11) + 30)/2

t = (560/11 + 30)/2

t = (890/11)/2

t = 445/11

Solving by elimination

Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,

7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)

Now combining the equations eliminates the t terms, and

(-10t + 35M) + (10t - 24M) = -150 + 230

11M = 80

M = 80/11

It follows that

7 × (80/11) - 2t = -30

560/11 - 2t = -30

2t = 890/11

t = 445/11

4 0

1 year ago

ANSWER CORRECTLY AND ILL MARK YOU AS THE BRAINLIEST

lana66690 [7]

Answer:

2/3

Step-by-step explanation:

im pretty sure that's the answer

6 0

2 years ago

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I WILL GIVE BRAINLIEST By what percent will the product of two numbers change if one of them increased by 20% and the other decr

Setler [38]

Answer:

Assume that the number is 100. Then, 20% of 100 is 20×100100 = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.

5 0

2 years ago

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Find the volume of the figure if length = 1/2 m, width = 1/2 m and height = 6 meters. I WILL GIVE BRAINLIEST PLLZZZ SOMEONE HELP

goldfiish [28.3K]

Step-by-step explanation:

Volume of figure=length×width×height

=(1/2)×(1/2)×6

=0.5×3

=1.5m³

PLEASE GIVE BRAINLIEST

5 0

2 years ago

The profit from a business is

GuDViN [60]

First of all we will understand the question!!

The question is saying that you are given a function and you have to find the value of x which will give the maximum profit... Lets solve it by finding the extrema using the vertex

 $\rm \: p(x) = - 5 {x}^{2} + 30x + 8$ 

Identify the coefficients a and b of the quadratic function

 $\rm \: p(x) = { - 5x}^{2} + 30x + 8 \\ \rm \: a = - 5 \: and \: b \: = 30$ 

Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a

$\rm \: x = \frac{30}{ 2 \times (- 5)}$

Solve the equation for x

$\rm \: x = 3$

The maximum of the quadratic function is at x=3

3 0

1 year ago