To solve the system of linear equations 3 x + 5 y = 2 and 6 x + 10 y = 8 by using the linear combination method, Laura correctly multiplied the first equation by –2 to get Negative 6 x minus 10 y = negative 4 and then correctly added the equations Negative 6 x minus 10 y = negative 4 and 6 x + 10 y = 8 to get 0 = 4. How many solutions are there to the system of equations?
0
1
2
4

Answers

Answer 1

Answer:

x = 1

y = 1/5

Step-by-step explanation:

Given the system of linear equations

x + 5 y = 2 .... 1 ×2

6 x + 10 y = 8 .... 2×1

___,_______

2x+10y = 4

6x+10y = 8

Subtract

2x-6x = 4-8

-4x = -4

x = 1

Substitute x =1 into 1

x+5y = 2

1+5y = 2

5y = 2-1

5y = 1

y = 1/5

Hence the solution to the system of equation is (1, 1/5)

Answer 2

Answer:

is a:0

Step-by-step explanation:

those linear lines will never intersect


Related Questions

A dairy facility has a bulk milk tank that is shaped like a right circular cylinder. The
tank has a height of 12 feet and a diameter of 216 inches.

Answers

Answer:336

Step-by-step explanation:

12

216 = 336

Is my answer right? I don’t really know this subject very well

Answers

First let's review how to find the surface area of a rectangular prism. Since the opposite faces have the same area, we just need to find one of each pair of faces and multiply the result by 2.

One face in each pairs adds up to 6*4+2*4+2*6=24+8+12=44

Now we just need to multiply this by 2!

44*2=88 cm^2

I really hope my explanation helped, if there are any more question about this please ask me in the comments I will answer them.


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

Tony buys 2 boxes of chocolates. One is 4 in. 7 in. 8 in. And 8 in. 5 in. 6 in. Which box has the larger volume?

Answers

Answer:

Second box

Step-by-step explanation:

Volume (of the box) = length * width * height

Volume of first box is: 4 * 7 * 8 = 224

Volume of second box is: 8 * 5 * 6 = 240

Since 224 < 240, the volume of the second box has the larger value.

Answer:

second choice

Step-by-step explanation:

Pls help ASAP!! 15 points?

Answers

Answer:

4 gte g

Step-by-step explanation:

Answer:

g < 4

Step-by-step explanation:

−12<−3g

Step 1: Flip the equation.

−3g>−12

Step 2: Divide both sides by -3.

−3g

−3

>

−12

−3

g < 4

A fruit sekker buts 50 boxes of mangoes each containing 100 m mangoes at the rate of ₹1200 per box he sells each mangoes for ₹20 find his total profit and profit %

Answers

Answer:

₹40000, 66.6%

Step-by-step explanation:

Given data

Number of boxes= 50

Cost per box= ₹1200

Total cost= 50*1200= ₹60000

Total number of mangoes in all 50 boxes= 50*100= 5000 mangoes

Cost price per mago= 60000/5000=  ₹12

Selling price per mango=  ₹20

profit = selling price- cost price

profit=  20-12

proft=  ₹8

Total profit = 8*5000

Total profit= ₹40000

%profit = 40000/60000*100

%profit= 0.666*100

%profit= 66.6%

Fill in the blanks
A
integers.
is an algebraic expression that contains a variable to the power of one.
is an example.
is a rational number that is multiplied by a variable. A
is a number that can be written as the ratio, or fraction of two
in the expression is an example of a coefficient
are terms whose variables and their exponents are the same. One example is
and -7y.
2y
Like-terms
4
6x+5
linear-expression
4z
rational-coefficient
rational-number

Answers

Answer:

Step-by-step explanation:

okay here’s the answers in order

Linear-expression

6x+5

rational coefficient

rational-number

4

4z

Like-terms

2y

can someone help me with this please?!
the choose options for both are: less than, equal to or greater than

Answers

Answer:

The rate of function 1 is greater than function 2, the y intercept of function 1 is 3

Step-by-step explanation:

Which of the following sets of side
lengths would not form a triangle?
A 29, 39, 69
B 29, 38, 49
C 29, 41, 19
D 29, 37, 10

Answers

Answer:

A

Step-by-step explanation:

Because 29+39=68

68<69

therefore this would not make a triangle!

Answer:

A.

Step-by-step explanation:

29 + 39 = 68 which is less than 69 so A is not a triangle.

Alfredo is ordering a taxi from an online taxi service. The taxi charges $3.50 just for
the pickup and then an additional $0.75 per mile driven. How much would a taxi ride
cost if Alfredo is riding for 5 miles? How much would a taxi ride cost that is m miles
long?

Answers

3.50 + 0.75(m) = total cost

3.50 + 0.75•5
= 3.50 + 3.75 = $7.25 for 5 miles

And the formula for the bottom part is
3.5 + 0.75m

x y
0 -6
1 -4
2 -2
3 0

The table above represents what type of function?
A.
neither linear nor nonlinear
B.
nonlinear
C.
linear and nonlinear
D.
linear

Answers

Answer: let me check

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

0 -6 is a linear and a nonlinear and it keeps on going


Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
the picture below. What was Carlas mistake? Explain in detail what she did wrong
and what the correct image would look like.

Answers

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

We have that the correct Pentagon should have

Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straight

Symmetry

This can be defined as an exact correspondence between different part of a system .

Therefore it can be said that Carla's Pentagon lacks Symmetry

Where a

Pentagon

is defined as a a shape with five sides and five angles

In this sense the is absolutely nothing with Carla's Pentagon

But if Carla is going for a pentagon with equal sides and and, Then

Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straight

For more information on this visit

https://brainly.com/question/17054992

Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)

Answers

Answer:

C

Step-by-step explanation:

Given the tables of H(t) an r(t), we want to find:

[tex](H\circ r)(3.0)[/tex]

As stated, this is equivalent to:

[tex]=H(r(3.0))[/tex]

Using the r(t) table, we can determine that:

[tex]r(3.0)=2.0[/tex]

Therefore:

[tex]H(r(3.0))=H(2.0)[/tex]

And by using the H(t) table, we can determine that:

[tex]H(2.0)=2.5[/tex]

So, our answer is C.

i need help with these two due today plssss help me

Answers

Answer:

10. 264

11. 13

Step-by-step explanation:

10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.

 66+66+66+66= 264

 I added 4 times for each side we have and we get the perimeter of 264

11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.

 65 divided by 5 is 13

 Area divided by Length is Width

Answer:

#10= 264

#11= 13

Step-by-step explanation:

#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264

#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.

Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

A chemical solution contains 4% alcohol. If there is 24 ml of alcohol, what is the volume of the solution?

Answers

Answer: 600 ml

Step-by-step explanation:

Let the volume of the solution be represented by x.

Therefore, we can form an equation based on the information given which will be:

= 4% × x = 24.

4/100 × x = 24.

0.04 × x = 24

0.04x = 24

x = 24/0.04

x = 600

The volume of the solution is 600ml

URGENT!!!!!!
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.1 inch ≈ 1.578 × 10 -5 miles.

Answers

Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]

Step-by-step explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

Example: 3000 is written as [tex]3.0\times 10^3[/tex]

Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch

Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches

1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches

Which expression is equivalent to |a|≤5 ?


a ≥ –5 or a ≤ 5


a ≥ –5 and a ≤ 5


a ≤ –5 and a ≥ 5


a ≤ –5 or a ≥ 5

Answers

Answer:

The answer would be a>-5 or a< 5

Step-by-step explanation:

I hope this helps, let me know if i'm incorrect

HELP I NEED HELP ASAP

Answers

Answer:

constant... I think... sorry if it's wrong... just trying to help ;-;

Step-by-step explanation:

Hope this helped! Good luck! :)

Answer:

linear

Step-by-step explanation:

if you put it into an equation, it would be y = 5 + 2x, which is a linear (straight line) equation

You have 5 cells and they double everyday. How many cells will you have after 8 days

Answers

Answer:

40

Step-by-step explanation:

5 cells x 8 days = 40 cells

your welcome.

Answer:

[tex]5^{2} (8)[/tex] = 200

Step-by-step explanation:

[tex]5^{2} = 25[/tex] 200In 8 days you will have 200 cells

A cuboid with a square base of side length 6 cm and height 10 cm then its volume equal what in Sixth grade of primary school

Answers

Answer:

360

Step-by-step explanation:

Volume of cube is s^3

Volume of a rectangular prism is BH, OR LWH

Since the base is a SQUARE, and it has a side length of 6 cm, the other side length is also 6 cm. 6 x 6 x 10 = 360 cm cubed.

Find the missing exponent.
?
916 x 918
x 918 = 9

Answers

Answer:

um i think its 6

Step-by-step explanation:sorry if im wrong


[tex] {n}^{6} \times \frac{4}{25} {n}^{2} \times \frac{5}{4} {n}^{3} \times n[/tex]

Answers

Step-by-step explanation:

reduce the numbers by solving and add the powers

Would it be a b c or s please answer fast

Answers

Answer:

Step-by-step explanation:

it is your first choice

-4.4+3.6[tex]\geq[/tex]1.6x

-0.5[tex]\geq[/tex]x

A running race follows a triangular course. The first leg of the race is in a straight line, covering 4.4km. Runners turn an angle of 79 deg for the second leg, and then turn again 77 deg to head back to the start line to finish the race. What is the length of the entire race, to the nearest tenth of a kilometer?

Answers

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ[/tex]

[tex]\angle A + \angle B + \angle C = 180^{\circ}[/tex]

[tex]\angle A = 180^{\circ} - (\angle B + \angle C )[/tex]

[tex]\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})[/tex]

[tex]\angle A = 77^{\circ}[/tex]

[tex]\angle B = 11^{\circ[/tex]

[tex]\angle C = 92^{\circ[/tex]

[tex]c = 4.4km[/tex]

Apply sine rule

[tex]\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}[/tex]

[tex]\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Split to solve for a and b

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

Make a the subject

[tex]\frac{a}{sin\ 77^{\circ}} =4.403[/tex]

[tex]a = 4.403 * sin(77^{\circ})[/tex]

[tex]a = 4.403 * 0.9744[/tex]

[tex]a = 4.3km[/tex]

Make b the subject

[tex]\frac{b}{sin\ 11^{\circ}} = 4.403[/tex]

[tex]b = 4.403 * sin(11^{\circ})[/tex]

[tex]b = 4.403 * 0.1908[/tex]

[tex]b = 0.8km[/tex]

The length of the race is:

[tex]Length = a + b + c[/tex]

[tex]Length = 4.3km + 0.8km + 4.4km[/tex]

[tex]Length = 9.5km[/tex]

Complete the statement. Round to the nearest hundredth if necessary.

9.2 in. ≈
cm

Answers

9514 1404 393

Answer:

  23.37 cm

Step-by-step explanation:

1 inch is 2.54 cm, so 9.2 inches is ...

  (9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm

Which one is it??????

Answers

the red function is reflected across the x axis and shifted down

133=7(1+2x) solve
Answer ASAP please

Answers

Answer:

x=9

Step-by-step explanation:

Step-by-step explanation:

133=7+14x

133-7=14x

14x=133-4

14x=129

14x=129

14 14

x=129

14

PLS HELP WITH THIS MATH

Answers

I think it’s 28.35

54/100 x 5 = 2.7
54 + 2.7 = 56.7
56.7/100 x 50 = 28.35
56.7 -28.35 = 28.35
Answer- 28. 35
Hope this helps your going so well on this

A spinner has 3 sections of different sizes. The sections are orange, purple, and green. 1/4 of the spinner is orange. 7/12 of the spinner is purple. Which fraction of the spinner is green?

Answers

Answer: it would be 2/3

Step-by-step explanation:

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