Find an equivalent system of equations for the following system:
2x + 4y = 4
−5x + 5y = 5

A. 2x + 4y = 4
−3x + y = −1

B. 2x + 4y = 4
7x + 5y = −1

C. 2x + 4y = 4
7x − y = 5

D. 2x + 4y = 4
7x − y = −1

Answer:

Step-by-step explanation:

The car will travel 30 2/3 miles in 45 minutes.Oct

Answer:

5/8

Step-by-step explanation:

Since we don't know what the other color (s) are, all we need to do to determine the probability is add the two fractions, and that is your probability.

Answer:

5/8

Step-by-step explanation:

The probability of a red block shows 3/8.  This means there are 8 blocks total and only 3 of them are red.

The probability of a blue block shows 2/8.  Again there are 8 total blocks and only 2 are blue.

So the total number of blocks remains the same....8

The total of red and blue blocks is 3 + 2 = 5

So the probability would be 5/8

Answer:

Equation of Parallel Line:  y = -7x - 44

Equation of Perpendicular Line:  y = x/7 - 8/7

Step-by-step explanation:

1) Parallel

Substitute (-6, -2) to find C

-2 = -7(-6) + c

-2 = 42 + c

-2 - 42 = c

c = -44

y = -7x -44

2) Perpendicular

Negative reciprocal

Substitute (-6, -2) to find C

-2 = 1/7(-6) + c

-2 = -6/7 + c

-2 + 6/7 = c

c = -8/7

y = 1/7x - 8/7 or

y = x/7 - 8/7

Answer:

35.2%

Step-by-step explanation:

88/250

88x4=352

250x4=1000

352/1000=35.2/100

Answer:

Multiply 408 by 352.143616x

Step-by-step explanation:

Lmk if im wrong.

Answer:600kgms-1

Step-by-step explanation:

mass *velocity

60*10 =600

Answer:

c(10) = 10c i believe

Step-by-step explanation:

or the answer in the picture

Answer:

180

Step-by-step explanation:

Well, I'm not sure but maybe??

Answer:

A. none of these

Step-by-step explanation:

It's an absolute value function such as : y = 3*| x-1 |

The inequality that represents the situation is:

[tex]3q + 3 > 51[/tex]

The first assignment had at least 17 questions.

The total number of questions is:

[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]

Since the total is greater than 51, the inequality is:

[tex]3q + 3 > 51[/tex]

Solving the inequality, we have that:

[tex]3q > 48[/tex]

[tex]q > \frac{48}{3}[/tex]

[tex]q > 16[/tex]

Thus, it is found that the first assignment had at least 17 questions.

A similar problem is given at https://brainly.com/question/24514895

Answer:

$700

Step-by-step explanation:

20%=140

divide both sides by 20

1%=7

times both sides by 100

100%= 700

$700

hope this helps

Step-by-step explanation:

gud eve.

good nigth

ilove you

5/9 is a simplified fraction for 15/27

Answer:

15/27 simplified to lowest terms is 5/9.

Your Welcome!

Answer:

$199.4 in four days

$49.85 in one day

Step-by-step explanation:

249.25 / 5  =49.85

49.85 x 4 = 199.4

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The amount that Tom makes in 4 days is $199.4.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Tom makes $249.25 in 5 days. Therefore, the amount that Tom makes in a day is,

Amount Tom makes in a day = $249.25 / 5 days

                                                = $49.85 per day

The amount of money that Tom can make in 4 days is,

Amount = $49.85 per day × 4 days

              = $199.4

Hence, the amount that Tom makes in 4 days is $199.4.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

1 7/8

Step-by-step explanation:

Exact Form 15/8

Decimal Form 1.875

Mixed Number 1 7/8

Answer:

Below.

Step-by-step explanation:

The ordered pair (0, 2) tells us that x = 0 when y = 2.

We just plug these values in the given equation and see if the left side = the right.

Left side = -2(0) + 2 = 2.

Right side = -1.

- so they are not a solution.

Answer:

Step-by-step explanation:

Hi there!

According to the question;

Distance (d)= 10 miles

Time (t) = 5 hours

Now;

Rate = [tex]\frac{distance}{time}[/tex]

        = [tex]\frac{10}{5}[/tex]

Therefore, the rate of his walking rate in miles per hour is 2miles per hour.

Hope it helps!

Answer:

30m

Step-by-step explanation:

If 1=5

Then

6=?

6÷1×5=30m

Answer:

y = 150º

Step-by-step explanation:

The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:

2x + x + (x - 20) = 180

4x - 20 = 180

4x = 200

x = 50

x - 20 = 50 - 20

x - 20 = 30

y = 180 - 30

y = 150º

Step-by-step explanation:

15 . triangle on number 15 is an isoseles because it has two sides that are equal

and also it has two angles that are equal

16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306

Answer:

[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]

Answer:

3 wear glasses

Step-by-step explanation:

10%=2

5%=1

15%=3

Answer:

∠4 = 110

Step-by-step explanation:

∠3 + ∠5 = 180    {Co-interior angles are supplementary}

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180    {Combine like terms}

-2y + 230 = 180

Subtract 230 from both sides

-2y = 180 - 230

-2y = -50  

Divide both sides by (-2)

  y = -50/-2

y = 25

∠5 = 210 - 4y

      = 210 - 4*25

       = 210 - 100

∠5 = 110

∠4 = ∠5    {Alternate interior angles are equal}

∠ 4 = 110°

Answer:

Step-by-step explanation:

110

Answer:

J= 16.857°

K= 88 .4°

L=74.7°

Step-by-step explanation:

let x represent the angle of J

x° +(4x+21)° +(2x+41)° =180°

x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)

Collect like terms

x + 4x + 2x = 180 - 21 - 41

7x = 180

x =180/7

x=16.857

Therefore,

J = 16.857°

K=4x+21

=4(16.857)+21

= 67.4+21

=88.4°

L=2x +41

=2(16.857)+41

=33.7+41

= 74.7°

Sum of angles in the triangle =

16.857+88.4+74.7=179.9 approximately 180°

Hope this helps....

Step-by-step explanation:

Search for questions & chapters

Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

Bookmark

Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

Answer:

x=7 people

Step-by-step explanation:

x=9-2

Answer:

1) 9

2) 8

3) 5

4) 72

5) 40

6) 3

Step-by-step explanation:

1) 5 times 9 equals 45, then you add 5 to get 50.

2) -2 times 8 equals -16, minus 3 is the same as adding a -3 to get -19

3) 7 times 5 equals 35, plus 1 to get 36.

4) 72 divided by 6 equals 12, minus 10 to get 2.

5) 40 minus 14 equals 26, divided by 2 to get 13.

6) 3 times 3 equals 9, minus 5 to get 4 then multiplied by 4 to get 16 as your final answer.

I have to go but here are answers 1-6 I will work on 7-11 later. Sorry! Tell me if you have any questions though!

20.00

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