If it costs $5.35 per day for a 5 day work week to ride the bus, and a weekly pass is $25, how much could a person save by buying the pass?

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = 1/2x + b

2 = 1/2(-8) + b

2 = -4 + b

6 = b

The distance between the two points (7, - 1) and (9, - 9) is,

d = √68

We have to given that,

To find the distance between the two points (7, - 1) and (9, - 9)

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

The distance between the two points (7, - 1) and (9, - 9) are,

d = √ (9 - 7)² + (- 9 + 1)²

d = √4 + 64

d = √68

Therefore, the distance between the two points (7, - 1) and (9, - 9) is,

d = √68

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Answer:

The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Step-by-step explanation:

Let x be one leg of the right triangle.

Since the other leg is two centimeters longer, it can be represented by the expression:

[tex]x + 2 \text{ cm}[/tex]

According to the Pythagorean Theorem, for a right triangle:

[tex]a^2 + b^2 = c^2[/tex]

Where c is the hypotenuse and a and b are the two legs.

The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:

[tex](x)^2 + (x+2)^2 = 6^2[/tex]

Solve for x. Simplify:

[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]

Simplify:

[tex]2x^2 + 4x + 4 = 36[/tex]

Subtract:

[tex]2x^2 + 4x - 32 =0[/tex]

Divide:

[tex]x^2 + 2x - 16 = 0[/tex]

The equation is not factorable, so we can consider using the quadratic formula:

[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]

In this case, a = 1, b = 2, and c = -16. Substitute:

[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]

And evaluate:

[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]

Lengths cannot be negative, so we can ignore the second solution.

Hence, the value of x or the first side length is about 3.1 centimeters.

Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.

In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Answer:

56

Step-by-step explanation:

There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56

[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]

Answer:

This will plot as an upward  "V" with the vertex at x = 4/3, y = 5

Step-by-step explanation:

The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so

-3x + 4 = 0

-3x = -4

x = 4/3

which makes y = 5 (the minimin)

Answer:

398

Step-by-step explanation:

multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do

Answer:

hey friend

what's your question

Answer:

0.4

Step-by-step explanation:

divide simply the given problem by using calculator

Answer:

0.4

Step-by-step explanation:

2/5 turned into a decimal is simply 0.4! Hope it helps :)

Answer:

B.

Step-by-step explanation:

Answer:

35/48

Step-by-step explanation:

You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of  bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)

Answer:

See Below.

Step-by-step explanation:

We can write a two-column proof.

Statements:                                                          Reasons:

[tex]\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}[/tex]                                  Given

[tex]\displaystyle 2) \text{ } \angle 1 \cong \angle 2[/tex]                                                            Given

[tex]\displaystyle 3) \text{ } \angle A \cong \angle E[/tex]                                                          Given

[tex]\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}[/tex]                                                        Definition of Midpoint

[tex]\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN[/tex]                                             ASA Congruence

[tex]\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}[/tex]                                                       CPCTC              

Answer:

1 : 57,800.

2: 268,335

Step-by-step explanation:

hope it helps you

The expressions are evaluated using distributive property below -

We have -

i. 425 x 136

ii. 4005 x 67

We have to evaluate them with help of distributive property.

Distributive property of multiplication over addition :  

a × (b + c) = a × b + a × c

According to question, we have -

i. 425 x 136

ii. 4005 x 67

Now -

425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100

and

4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7

Hence, the evaluation using distributive property is done.

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Answer:

2 (15/28)

Step-by-step explanation:

[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]

Answer:

104

Step-by-step explanation:

solution :

AC = 72

BC = 32

AB = AC + AC

= 72+32

= 104#

Am i right ?

Answer:

13

Step-by-step explanation:

13 x 13 = 169

Answer:

right angled triangles

Answer:The answer is in the attached file below

Step-by-step explanation:

Answer:

angle 7=100 ,angle 8=80

Step-by-step explanation:

For angle 7:

By using definition of alternate interior angles:

angle 4=angle 6

Subtitute values of angles:

x+2y=3y+20

x+2y-3y=20

x-y=20.......(1)

Now by using definition of alternate opposite angles:

angle 4= angle 2

angle 2=x+2y

Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.

2x+y+x+2y=180

3x+3y=180

x+y=60......(2)

Add (1) and (2):

x-y=20

x+y=60

_______

2x=80

x=40

subtitute x=40 in (2):

40+y=60

y=60-40

y=20

For angle 7:

By using definition of alternate exterior angle:

angle 1=angle 7

angle 7=2x+y

subtitute x and y:

angle 7=2(40)+20

=100

For angle 8:

By using definition of alternate opposite angle:

angle 8=angle 6

angle 8= 3y+20

angle 8=3(20)+20

=80

Answer:

100 ( 4 - π rad )

Jdnzjdhbdudhejdjejd

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

p -> q

converse

~p-> ~q

inverse

q-> p

Contrapositve

~q-> ~p

Answer:

The slope is -⅔ [ negative slope ]

Step-by-step explanation:

Consider two points spotted from the graph.

That is (3, 0) and (0, 2)

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} [/tex]

y1 is 0

y2 is 2

x1 is 3

x2 is 0

substitute:

[tex]slope = \frac{2 - 0}{0 - 3} \\ \\ = - \frac{2}{3} [/tex]

Step-by-step explanation:

-3+m/9=10

m/9=10+3

m/9=13

m=13×9

m=117

Note:if you need to ask any question please let me know.

Answer:

w=-2

Step-by-step explanation:

9(w-4)-7w=5(3w-2)

9w-36-7w=15w-10

9w-7w-15w=-10+36

-13w=26

w=-2

Step-by-step explanation:

F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3

F[x]=2x-1

F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1

=4x+2

answer=4x+2

Answer: A

Step-by-step explanation:

[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]

Amount of total commission is $1,956.8 (Approx.)

Given:

Percent of commission upto $6,000 sale = 9% (Misprint)

Percent of commission over $6,000 sale = 14%

Amount of total sales = $16,120

Find:

Amount of total commission

Computation:

Amount of commission upto $6,000 sale = 6000 × 9%

Amount of commission upto $6,000 sale = $540

Amount remain = 16120 - 6000

Amount of commission upto $6,000 sale = $10,120

Amount of commission over $6,000 sale = 10,1200 × 14%

Amount of commission over $6,000 sale = $1,416.8

Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale

Amount of total commission = 540 + 1,416.8

Amount of total commission = 1956.8

Amount of total commission = $1,956.8 (Approx.)

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[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]

[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]

[tex]\\ \rm\longmapsto 13x-1=180[/tex]

[tex]\\ \rm\longmapsto 13x=169[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]

[tex]\\ \rm\longmapsto x=13[/tex]

Now

[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]

[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]

Answer:

∠ DEC = 142°, ∠ CEF = 38°

Step-by-step explanation:

∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so

11x - 12 + 2x + 10 = 180 , that is

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Then

∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°

∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°

Answer:

1) -18 divided by 9 is -2

2) -5x(-7) is 35x

Step-by-step explanation:

[tex] - 18 \div 9[/tex]

[tex] = - (18 \div 9)[/tex]

[tex] = - 2[/tex]

‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐

[tex] - 5x( - 7)[/tex]

[tex] = 5x \times 7[/tex]

[tex] = 35x[/tex]

Answer:

2 – 3х + 5х = 16 — 8х + 8x

2 - 8x = 16

8x = 14,

x = 1.75

Answer:

I confirm my answer : 8(cm)

Step-by-step explanation:

In the triangle OAB, BO²=AB²+AO²-2*AB*AO*cos( BAC)

cos (BAC)=9²+17²-10²/(2*9*17)=15/17

AC/AO=cos(BAC) ==> AC=17*15/17=15

OC²=AO²-AC²=17²-15²=64

OC=8 (cm)

Answer:

1/10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x is the favorite number

x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)

[tex]x^{2}[/tex]=10x (divide both sides by x)

x=10

9514 1404 393

Answer:

  71/63

Step-by-step explanation:

Let n represent the number of interest.

  -4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9

  n = 5/9 + 4/7 = (35 +36)/63 = 71/63

The number 71/63 must be added to -4/7 to get 5/9.