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denis-greek [22]
3 years ago
9

Please answer both questions with adding your work

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

1-   1/3 x +3y=1

y=2/3 x-4    

solution : x=39/7 , y=-2/7

3x-2y=11

-3x-y=4   solution x=1/3, y=-5

Step-by-step explanation:

1/3 x +3y=1

y=2/3 x-4

solve by substitution for y in the first equation:

1/3 x + 3(2/3 x-4)=1

1/3 x+6/3 x-12=1

7/3 x=12+1

7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7

y=2/3 x -4

y=2/3 (39/7)-4

y=72/21  -4

y=-4/7

second problem:

3x-2y=11

-3x-y=4    solve by elimination: add two equation to eliminate x

3x-2y-3x-y=11+4

-3y=15

y=15/-3 ⇒y=-5

substitute y in one of the equations: 3x-2y=11

3x-2(-5)=11

3x+10=11

3x=11-10

x=1/3

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Please answer the question and give an explanation. Will give brainliest.
pentagon [3]

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

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3 years ago
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68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.
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Answer:

V = 300\pi in³ or 942.48 in³

Step-by-step explanation:

Use the cylinder volume formula, V = \pir²h, where r is the radius and h is the height.

Plug in the values and solve:

V = \pi(5²)(12)

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7 0
3 years ago
What is the final transformation in the composition of transformations?
melomori [17]

Answer:

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Step-by-step explanation:

3 0
3 years ago
(NO LINKS I WILL REPORT!)
nevsk [136]

Answer:

b. $35.61

Step-by-step explanation:

First, convert the 25% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 25%) by 100%.So, the conversational term "25%" becomes 25% / 100% = 0.25 in terms of a real mathematical number.

Second, you need to find out what 25% of your $28.49 meal cost is.This is always done by multiplying 0.25 by $28.49, or

<h2>                       0.25 x $28.49=$7.12. </h2>

So, the amount of tip you are going to leave is $7.12.

This makes the total cost of your meal (to write on your charge slip or other payment)

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4 0
3 years ago
The lengths of the sides of a triangle are in the extended ratio 5: 8:10. The perimeter of the triangle is 115 cm. What are the
leva [86]

Given :

  • The length of the sides of the triangle are in the ratio 5:8:10 .
  • The Perimeter of the Triangle is 115 cm.

To Find :

  • The length of the sides of the triangle.

Solution :

Let us assume the sides be 5x cm, 8x cm and 10x cm.

We know,

\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}

So, Substituting the values :

\qquad { \dashrightarrow{ \sf{5x + 8x + 10x = 115}}}

\qquad { \dashrightarrow{ \sf{23x= 115}}}

\qquad { \dashrightarrow{ \sf{ \dfrac{23x}{23} = \dfrac{115}{23} }}}

\qquad { \dashrightarrow{ \bf{ x = 5 }}}

Therefore,

The length of the sides of the triangle are :

\qquad { \dashrightarrow{ \sf{ 5x \: cm= 5 \times 5 \: cm = \bf \: 25\: cm }}}

\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 5 \: cm = \bf \: 40 \: cm }}}

\qquad { \dashrightarrow{ \sf{ 10x \: cm= 10 \times 5 \: cm = \bf \: 50 \: cm }}}

6 0
3 years ago
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