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just olya [345]
3 years ago
14

12x - 2y = -1+ 4x + 6y= -4​

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

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Answer:

110

Step-by-step explanation:

Let x = rate #1 and then 155-x=rate #2.

15x + 5(155-x) = 1225

15x - 5x + 775 - 1225

10x = 450

x = 45, second rate is 110

8 0
3 years ago
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Joe has fraction 5 over 6 pound of bird seed. He needs Fraction 1 over 3. pound to feed the birds daily. Which of the rectangle
Studentka2010 [4]
I divided the two fractions & drew a model.

\frac{5}{6}/ \frac{1}{3} = 2.5

So we know that the bird seed will last 2.5 days.

Knowing this, we can go with:

B. Rectangle model divided into six equal sections, five sections are labeled five-sixths and two sections are labeled one-third, equaling two and one-half days.

Let me know if you find any problems with my answer.


9 0
3 years ago
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

<h3 /><h3>Side 1:</h3>

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

<h3>Side 2:</h3>

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

<h3>Side 3:</h3>

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

<h3>Side 4:</h3>

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

<h3>Side 5:</h3>

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

<h3>Side 6:</h3>

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

8 0
3 years ago
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What is the value of k in the equation 2/7(k+5/8)=2 2/7
shusha [124]
2/7 ( k+5/8) = 2 and 2/7

2/7 (k+5/8) = 16/7     |multiply by 7

2(k+5/8) = 16     |divide by 2

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k=8-5/8 = 7 and 3/8 = 27/8 = 7.375 


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What is the middle term in the simplified product? <br> (x + 3)(x – 4)
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The middle term is -x
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