Anthony and Michelle have £65.25 between them. Anthony's amount is two thirds of Michelle's amount. How much money does each have?

Answer:

The line is ;

4y = -x + 56

or

y = -x/4 + 14

Step-by-step explanation:

Generally, the equation of a straight line is;

y = mx + c

where m represents the slope

so for y = 4x - 6

The slope is 4

If two lines are perpendicular, the product of their slopes is -1

So for the second line, the slope will be -1/4

The equation in the point slope format will be ;

y-12 = -1/4(x-8)

y-12 = -x/4 + 2

Multiply through by 4

4y-48 = -x + 8

4y = -x + 8 + 48

4y = - x + 56

The equation of the line that passes through (8, 12) and is perpendicular to y = 4x - 6 is:

[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)

or

[tex]y = -\frac{1}{4}x + 14[/tex] (slope-intercept form)

Recall:

Given:

y = 4x - 6

To write the equation of a line that passes through (8, 12) and is also perpendicular to y = 4x - 6, substitute m = -1/4 and (8, 12) into

y - b = m(x - a)

[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)

Rewrite in slope-intercept form

[tex]y - 12 = -\frac{1}{4} (x - 8)\\\\y - 12 = -\frac{1}{4}x + 2\\\\y = -\frac{1}{4}x + 2 + 12\\\\y = -\frac{1}{4}x + 14[/tex](point-slope form)

Therefore, the equation of the line that passes through (8, 12) and is perpendicular to y = 4x - 6 is:

[tex]y - 12 = -\frac{1}{4} (x - 8)[/tex] (point-slope form)

or

[tex]y = -\frac{1}{4}x + 14[/tex] (slope-intercept form)

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Answer:

4:6

Step-by-step explanation:

You multiply 2 by 2 and you get 4, if you multiply 3 by 2 you get 6, so that means they are equivalent.

Answer:

hi

Step-by-step explanation:

bye

Answer:

b. 408

Step-by-step explanation:

did the work

give brainliest please

Answer:

  5x +14y = -21

Step-by-step explanation:

One way to write the equation of a line from two points is ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

  (1 -(-4))(x -7) -(-7 -7)(y -(-4)) = 0

  5(x -7) +14(y +4) = 0

  5x +14y -35 +56 = 0

  5x +14y = -21 . . . standard form equation of the line

Answer:

69 students were advanced and 184 were regular

Step-by-step explanation:

begining

advance 3: regular 8

after exam

advance 4 (92students) : regular 7 (92/4=23; 23*7=161 students)

So total students we have 161+92=253,

remember we have advance 3: regular 8 so

253/(3+8)=253/11=23

23*3=69, 23*8=184

Answer:

Step-by-step explanation:

So take 3:5 and add them  which gets us 8 then divided 880 by 8 = 110

Hope this helps :D

Answer:

330:550

Step-by-step explanation:

divide 880 to (3+5=8) so 880/8=110

3:5 will be 3*110: 5*110 so is 330: 550

Answer:

PLEASE CHECK THIS OUT

If you subscribe to our educational channel then I will 100% make you brainliest

its called Everimó Academy     dont forget the accent!? We appreciate it

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

8+4=2(x-1) (Given)

12=2x-2 (Distribute and simplify)

14=2x (Addition Property Of Equality)

7=x (Division Property Of Equality)

Answer:

they each costed $3

Step-by-step explanation:

Answer:

The answer is $84

Step-by-step explanation:

hope this helps

$70×0.2=14

$70+$14=$84

Answer:

Step-by-step explanation:

$87.50 would be your answer

since you're trying to find the book cost originally you would subtract the total minus the discount to get .8

then you would divide 70/.8 to get your answer of 87.50

Answer:

37.5

Step-by-step explanation:

1=15 so 2=30 plus half of 15 (7.5) add, 37.5! :) Hope this helped! Have a good day! ;)

Answer:

The tree is 64.9 ft tall.

Step-by-step explanation:

Think of a right triangle. Draw the right triangle. The tree is a vertical side of the triangle, so it is a leg with unknown length, so call its length y. The ground, is a horizontal leg with length 100 ft. The angle from endpoint of the horizontal leg on the ground away from the tree to the top of the tree is 33º.

For the 33º angle, y is the opposite leg, and 100 ft is the adjacent leg.

The trig ratio that relates the lengths of the opposite leg to the adjacent leg is the tangent.

tan A = opp/adj

tan 33º = y/100

y = 100 * tan 33º

y = 64.9

Answer: The tree is 64.9 ft tall.

Answer:

6/8

Step-by-step explanation:

I answered this math question on edge and 100%.

Answer:

no

Step-by-step explanation:

its is not a solution, however if the equal sign actually looks like

[tex] \leqslant [/tex]

then it would be yes

Answer:

Not a solution

Step-by-step explanation:

( x, y ) = ( - 3, 4 )

x = - 3

y = 4

Substitute the values of x and y in the equation,

y = 3x + 107

4 = 3 ( - 4 ) + 107

4 = - 12 + 107

4 = 107 - 12

4 ≠ 95

Therefore,

( - 3, 4 ) is not a solution to the

equation y = 3x + 107.

Answer:

Step-by-step explanation:

ok so this is a vetical angle. so they are equal to 180. so if 1 measurement is found the other is the difference of 180 and that angle measeurement.

so y is the same as 110

and 180 - 110 is 70, so x and z are equal to 70.

i hope this helped you :)

Answer:

y=110, x and z=70

Step-by-step explanation:

110 and y are congruent angles, so they both are 110 degrees.

both angles on the same side of the line always total 180 degrees,

so x and z must be 70.

D. 90 counterclockwise rotation, then reflection over x-axis

Answer:

he got 24 correct

Step-by-step explanation:

so basically yo do 30 divided by 10 to get 10 percent then you do that answer times 8 to get 80 percent yw xx

There are 24 answer correctly on his test.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Bradley answered 80% of the questions on his science test correctly.

And, There were 30 questions on the test.

Now,

Since, There were 30 questions on the test.

Hence, The correct answers = 80% of 30

                                            = 80/100 × 30

                                             = 24

Thus, Number of Bradley answer correctly on his test = 24

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9514 1404 393

Answer:

  (3, -2)

Step-by-step explanation:

Given:

  y = -2x +4

Find:

  the value of x for y=-2

Solution:

  Put the value of y into the equation and solve for x:

  -2 = -2x +4 . . . . use -2 for y

  -6 = -2x . . . . . . . subtract 4

  3 = x . . . . . . . . . .divide by -2

The solution of interest is (3, -2).

Answer:

$14.40

Step-by-step explanation:

20% off of $18 is $14.4

Answer:

Helen has $35 and Brian has $7

Step-by-step explanation:

5b + b = 42

6b = 42

/6 /6

b = 7

7(5) + 7 = 42

35 + 7 = 42

42=42

Answer:

(4x-5y)(4x+5y)

Step-by-step explanation:

Answer:

x= -45

Step-by-step explanation:

Subtract 5 from both sides first

Simplify it

Multiply both sides by 3

Simplify it again

Divide both sides by -2

your answer would be x= -45

Answer:4,5

Sorry for taking a spot

Answer:

(-4,-5)

Step-by-step explanation:

Start at the point and move 7 boxes to the right and 4 boxes up. Otherwise, the point it (-3,1) so just add (7, 4). -3 plus 7 equals 4. 1 plus 4 equals 5.

180 formula is (-x,-y). The answer is (-4,-5)

Answer:

B 53.

Step-by-step explanation:

180-79=101

101+6x+13=180

-114              -114

6x=66

x=11

3(11)+20

33+20

53

Answer:

x = 21°

Step-by-step explanation:

Triangle = 180°

Angle YXZ = 34°

Angle XZY = (x + 104)°

Angle x = ?

34° + x° + 104° + x° = 180°

138° + 2x° = 180°

2x° = 180° - 138°

2x/2 = 42/2

x = 21°

Answer:

8.009, 8.04, 8.15

Step-by-step explanation:

Look at the decimal places. The farther away it is on the right side, the less the value of the number.

Answer:

8.009; 8.04; 8.15

Step-by-step explanation:

8.009 is the least

8.15 is the greatest

hope this helps :3

if it did pls mark brainliest