3. If BÉ bisects ZABD, find x and M

Answer:

x = 3.9

Step-by-step explanation:

x = gigabytes

$56 + $4 x = $71.60

56 + 4x = 71.60

   4x = 71.60 - 56

    4x = 15.60

     x = 3.9

Answer:

12

Step-by-step explanation:

To evaluate 3(w*8)+x, replace 'w' with (1/3) and 'x' with 4:

3([1/3]*8) + 4

We can multiply 3, [1.3] and 8 in any order, then add 4:

1*8 + 4, or            8 + 4 = 12

Answer:

10

Step-by-step explanation:

The distance traveled by both cars is an illustration of a linear function.

Car A

Speed = 45 miles per hour

So, the coordinates of car A are:

[tex]\mathbf{(x,y) = (8,0) (9, 45) (10, 90) ....}[/tex]

Car B

Speed = 60 miles per hour

So, the coordinates of car B are:

[tex]\mathbf{(x,y) = (9, 0) (10, 60) (11, 120) ....}[/tex]

(a) The equation of both cars

Car A

This is calculated as:

[tex]\mathbf{y = mx+ b}[/tex]

Where m represents slope/speed.

So, m = 45

This gives

[tex]\mathbf{y = 45x + b}[/tex]

y = 0, when x = 8.

So, we have:

[tex]\mathbf{0= 45\times 8 + b}[/tex]

[tex]\mathbf{0= 360 + b}[/tex]

Solve for b

[tex]\mathbf{b=- 360}[/tex]

So, the equation of car A is:

[tex]\mathbf{y=45x - 360}[/tex]

Car B

This is calculated as:

[tex]\mathbf{y = mx+ b}[/tex]

Where m represents slope/speed.

So, m = 60

This gives

[tex]\mathbf{y = 60x + b}[/tex]

y = 0, when x = 9.

So, we have:

[tex]\mathbf{0= 60\times 9 + b}[/tex]

[tex]\mathbf{0= 540 + b}[/tex]

Solve for b

[tex]\mathbf{b=- 540}[/tex]

So, the equation of car B is:

[tex]\mathbf{y=60x - 540}[/tex]

(b) The graphs

See attachment

(c) The time which both cars meet

We have:

[tex]\mathbf{y=60x - 540}[/tex] and [tex]\mathbf{y=45x - 360}[/tex]

Equate both

[tex]\mathbf{60x - 540=45x - 360}[/tex]

Collect like terms

[tex]\mathbf{60x - 45x = 540- 360}[/tex]

[tex]\mathbf{15x = 180}[/tex]

Divide both sides by 15

[tex]\mathbf{x = 12}[/tex]

This means that both cars meet at 12:00pm

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Answer:

The tax is 7% ^^

Step-by-step explanation:

Answer:

Sale tax is 7% or $8.82

Step-by-step explanation:

126 + 8.82 = 134.82 sales tax 7%

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

Answer:

The one guy is right k equals 43.6

Hope This Helps!!!

The value of k using Vertical angles is 43.6 degree.

Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.

As, k and 43.6 are Vertical angles.

So, k = 43.6

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Answer:

y = 3x - 5

Step-by-step explanation

Answer:

Y = 3x - 5

Step-by-step explanation:

6x - 2y = 10

-2y = -6x + 10

y = 3x - 5

Answer:

an apple would remain

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 3842 and 2642.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two numbers:

The difference between the numbers is 1200.

The total of the two numbers = 6484.

Let the numbers be M and N.

Now,

M - N = 1200 ____(1)

M + N = 6484 _____(2)

From (1) and (2) we get,

M = 1200 + N ____(3)

Putting (3) in (2) we get,

1200 + N + N = 6484

1200+ 2N = 6484

2N = 6484 - 1200

2N = 5284

N = 5284/2

N = 2642 putting in (3) we get,

M = 1200 + N

M = 1200 + 2642

M = 3842

Thus the two numbers are 3842 and 2642.

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Answer:

288/5

Step-by-step explanation:

simplified: (2³x 9) x 4/5 = 288/5

Answer:

780 = 180 + 40x

Step-by-step explanation:

first we need to isolate the variable

780-180 = 180-180 + 40x

600 = 40x

600/40 = 40x/40

15=x

so the unit rate or rate per hour Mr. Harris earns is $15 per hour

Hope this helps!

Answer:

400

Step-by-step explanation:

Answer:

90!

Step-by-step explanation:

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer:

x=0

Step-by-step explanation:

5/2x=x/10

Answer:

X=5,-5

Step-by-step explanation:

Use cross multiplication to find 2x^2=50. Now we can divide both sides by 2 and get x^2=25, Now we can square root both sides and x can be 5 or -5

Answer:

9.75

Step-by-step explanation:

|-6|+|15|=6+15=21

-6+3/4*21

-6+63/4

-6+15.75

9.75

Answer: {a}_{10} = 128

Step-by-step explanation:

Answer:

huhhhhhhhhhh■♤○♡¤《■■□○○

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

Step-by-step explanation:

the awnser is 04

So if we don't unnecessarily confuse ourselves by taking  bases, a 2x2 matrix will always have rank 2 unless one row or column is a scalar multiple of the other*, in which case it will have rank 1. (and also it'll have rank 1 if you have a row or column of zeroes, and rank 0 if it's the zero matrix).

Answer:

1.024km/h

Step-by-step explanation:

speed=distance/time

speed=420/6 hours 15 minutes

speed=420/410

speed=1.024km/h

Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

Answer:

x = 78

y = 115

Step-by-step explanation:

Answer:

X= 78°

Y=115°

Step-by-step explanation:

180° - 102°

115 = 115°

Answer:

10 days

Step-by-step explanation:

15 men -----  12 days

18 men -----    x ?

They are inversely proportional

more men less days

15 / 18  * 12 = 10 days

Answer:

y=-1/3x+9

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

Given that,
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total length of the wall = 21 3 / 8 = 21 . 375
Width of tile = 4 1/2 = 4.5
Now, the ratio of wall to tile = 21. 375 / 4.5
quotient = 18 Remainder = 3.375
Now the ratio of the remainder to the tile = 3.375 / 4.5 = 0.75 or  3 / 4.

Thus, Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

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