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2 years ago

Sara was thinking of a number. Sara halves the number and gets an answer of 38.5. Form an equation with x for the information

Mathematics

1 answer:

lbvjy [14]2 years ago

4 0

Answer:The equation wth x in the information can be written as

1/2 x = 38.5 , Upon solving, the number = 77

Step-by-step explanation:

Let the number Sara was thinking about be x

halving the number to get an answer = 38.5 can be expressed as

1/2 X = 38.5

The equation with x in the information can be written as

1/2 x = 38.5

solving it becomes

1/2 x= 38.5

x = 38.5 x 2

x=77

The number Sara was thinking about = 77

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What are the values of x in the equation x^2 - 6x + 9 =25

never [62]

X² - 6x +9 =25
x² -6x -16 = 0
(x+2)(x-8) = 0
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x = -2 or x = 8

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3 years ago

17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.

Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

$3.2x+5.4y+2.2z=303$

Since in total there are 393 hours for assembly, then:

$2.8x+2.4y+5.8z=393$

Since in total there are 416 hours for quality assurance, then:

$4.4x+3.4y+4.8z=416$

Then, the linear system associated to the problem is

$3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416$

with coefficient matrix $A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right]$ and vector of constant terms $b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]$

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system $Ax=b$ , is enough find the inverse of A and operate

$Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b$

Using Octave we obtain that

$A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]$

Then

$x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]$

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

8 0

3 years ago

Inverse function of adding 12

muminat

Answer:

-12

Step-by-step explanation:

4 0

3 years ago

Plz help with this question and explain

alekssr [168]

I see two lines. The degree measure of any line is 180°.

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2 years ago

Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes.

Mazyrski [523]

There are 3 girls & 4 boys.

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2 years ago