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Unit 6 Portfolio
Task 1:
Taxi Cab Company A: $8 per ride and $0.35 per mile
• Write an equation in slope intercept form to represent the cost of a
taxi ride using company A.
Hint: use y=mx+b
Y =
• What does the y-intercept mean in the context of this problem?
Hint: What do you pay to step into the cab?

Answer:

$15.00 - $12.95 = $2.05

Step-by-step explanation:

Jared has $2.05 left

Answer:

Step-by-step explanation:

1.02 = _____ hundredths

Step-by-step explanation:

boy, that is hard to decipher ...

but from what I understood after a while of reading and re-reading, the proof is based on the equal slope (0) of all 3 lines showing that all 3 lines are parallel.

remember, the slope is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, going from N to M :

x changes by (2d - 2b) units.

y changes by 0 units (2c to 2c).

so, the slope of NM is 0/(2d - 2b) = 0.

going from K to L :

x changes by (2a - 0) = 2a units.

y changes by 0 units (0 to 0).

so, the slope of KL is 0/2a = 0.

R and S are the middle points between K and N, and between L and M.

R = ((2b+0)/2, (2c+0)/2) = (b, c)

S = ((2d + 2a)/2, (2c + 0)/2) = ((d+a), c)

so, going from R to S :

x changes by (d+a-b) units.

y changes by 0 units (c to c).

so, the slope of KL is 0/(d+a-b) = 0.

as all 3 slopes are equal (and with being 0 also parallel to the x-axis), this proves that the line RS is parallel to its bases.

Hope I helped! Have a nice day! Really hope this helps k12 students!

Number of marbles with Mallika = x

Number of marbles with Kishore = x (same number of marbles)

To get 100 marbles = x + x + 30

=》x + x + 30 = 100

2x + 30 = 100

2x = 100 - 30

2x = 70

x = 70/2

x = 35

■ Final answer =》Mallika & Kishore both have 35 marbles each.

■ Equation =》2x + 30 = 100

■ Equation type =》Linear equation in 1 variable

______

Hope it helps ⚜

The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mallika and Kishore have the same number of marbles.

And, To have 100 marbles they must pool their marbles together and then get 30 more.

Now,

Since, Mallika and Kishore have the same number of marbles.

Hence, Let the number of marbles = x

So, We can formulate;

⇒ x + x + 30 = 100

⇒ 2x + 30 = 100

⇒ 2x = 100 - 30

⇒ 2x = 70

⇒ x = 35

Thus, Number of marbles each have = 35

And, The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

Learn more about the mathematical expression visit:

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Answer:

Interval notation for m: (-3,3)

Inequality notation: -3<m<3

In words: Anything between -3 and 3 without including either -3 or 3.

Step-by-step explanation:

If we want no real roots then b^2-4ac must be less than 0.

a=1

b=2m

c=9

These values were found by comparing your equation to ax^2+bx+c=0.

b^2-4ac<0 is what we are trying to satisfy

(2m)^2-4(1)(9)<0

4m^2-36<0

Divide both sides by 4:

m^2-9<0

Add 9 on both sides:

m^2<9

m^2<9 when m<3 and m>-3.

Interval notation (-3,3).

Answer:

y = 3/4x - 5/4

Step-by-step explanation:

6x=8y+10

Well you must first get your equation set up into the form called "Slope intercept."

6x=8y+10

Add 8y on both of your sides because your y is suppose to be alone.

8y + 6x = 10

Subtract 6x on both sides since it is in fact the opposite of addition.

8y = 6x + 10

Now, you will divide by 8 on both sides. When doing this your y will be alone.

y= 6/8x + 10/8

Note: You can leave it like this but you want to probably simplify.

y = 3/4x + 5/2

      or

y = 3/4x - 5/4

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

4/5 + 2/3 = 2215 = 1 715 ≅ 1.4666667. Spelled result in words is twenty-two fifteenths (or one and seven fifteenths).

Answer:

5/10's

Step-by-step explanation:

Trust me bro

Answer:

lowest but make sure to keep the highest in your mind and keep working. you've got this! :)

Answer:

the lowest grade. But also stay on top of ur assignments on the subject u have the lowest grade on because u will fall back behind. this also goes for ur other higher grades. try to spend one hour in each assignments that is past due.

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

The slope-intercept form of the line equation

where

   m is the slope

   b is the y-intercept

In our case, we are given

   m = 5

   Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Pls mark me as brainliest thank you

Answer:

Step-by-step explanation:

m = 4

y = mx +c

y= 4x + c

Plugin x = 3 and y= 4 in the above equation

4 = 4*3 + c

4 = 12 +c

4 - 12 = c

c = -8

Equation of the line :

y = 4x - 8

Answer:

240 kg

multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg

Answer:

$12.5

Step-by-step explanation:

140 divided by 7 is 20, since 20 is a factor of 500, it will make it easier. Since we divided the 140 grams by 7, we also have to divide the $3.5 by 7, which will get you$0.5. 20 times 25 is 500, so you will also time the $0.5 by 25 which will get you $12.5

The answer for the first question is A

The answer the second question is D

Step-by-step explanation:

so, let's look at the options.

A. (x+3)/x = 3

that hurts already by just looking at it.

but let's check anyway :

x + 3 = 3x

3 = 2x

and that is only true for one value of x (3/2), but not in general.

so, this is wrong.

B. (x²+5)/5 = x² + 1

x² + 5 = 5x² + 5

x² = 5x²

that is only true for one value of x (0), but not in general.

so, this is wrong.

C. (2x+7)/(2x+9) = 7/9

9(2x+7) = 7(2x+9)

18x + 63 = 14x + 63

4x = 0

that is only true for one value of x (0), but not in general.

so, this is wrong.

D. (-5x - 10)/(x+2) = -5

-5x - 10 = -5(x + 2) = -5x - 10

now this is true in all cases, so this is correct.

make simple :

(a² - 4a + 4) / (a² - 4)

with a little bit of experience you see right away that

a² - 4a + 4 = (a - 2)²

as we know from the generic squaring

(a - b)² = a² - 2ab + b² : a perfect fit.

and

(a² - 4) = (a + 2)(a - 2)

as we know from the generic factor multiplying

(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.

so, the given expression is actually

(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))

and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :

(a - 2) / (a + 2)

and that is answer A

Answer:

2

Step-by-step explanation:

correct me if i'm wrong

la la la

Answer:

if we let admission fee per child to be a and the rental fee for the skates  to be s.

Then john 6a + 5s =32

Juanita     7a + 5s = 35.25

Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.

        6a + 5s = 32

        7a + 5s = 35.25

we get -a + 0s = -3.25     therefore a= 3.25

Then we can solve for s by substituting a in either of the two equations

 6 (3.25) + 5s =32

 19.5 + 5s =32

            5s = 12.5

               s = 12.5/5

               s = 2.5

Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.

Step-by-step explanation:

Answer:

1/3 and you divide

Step-by-step explanation:

41/2 = 9/2

3/4 ÷ 9/2

3/4 ×2/9 = 6/18

6/18 = 1/3

Answer:

Step-by-step explanation:

Okay. 4 and 1/2 simplifies to the improper fraction, 9/2. And 3/4 of it would mean we MULTIPLY it by the total, 9/2 pounds. (Whenever we see OF, we know that the operation is multiplication.) I think that you can do the rest from here, but I'll include a solution at the bottom if you still need help.

...

(9/2)*(3/4)=(9*3)/(2*4)=27/8=3 and 3/8 pounds of flour used to make brownies.

Hope this helps! Good luck! :)

Answer:

try d) 17 m

sorry if it's wrong

Step-by-step explanation:

2.5m is the answer god bless you make me bfai list

The required height would be 2 meters in the given cylinder.

A cylinder's surface area is defined as the amount of specific relevance by the horizontal plane of the cylinder's bases and the curved surface of the cylinder. The overall surface area of the cylinder includes the area of the cylinder's two circular bases as well as the area of the curving surface.

The surface area of the cylinder is: A = 2πr(r+h)

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

The surface area of a cylinder is 50.24 m² and its radius is 2 m.

⇒ A = 2πr(r+h)

Here A = 50.24 m² and r = 2 m

⇒ 50.24 = 2(3.14)(2)(2+h)

⇒ 50.24 = (12.56)(2+h)

⇒ 50.24 /(12.56) = (2+h)

⇒ 4 - 2 = h

Therefore, the required height would be 2 meters in the given cylinder.

Learn more about the surface area of a cylinder here :

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The question seems to be incomplete the correct question would be

The surface area of a cylinder is 50.24 m² and its radius is 2 m. What could its height be?

Answer:

See below:

Step-by-step explanation:

As there doesn't appear to be a full question, I guess you want me to tell you the definition of complementary.

Complementary and Supplementary angles are when angles make up 90 degrees or 180 degrees respectively, the order being:

+ Supplementary Angles are angles that add up to 180 degrees

+ Complementary Angles are angles that add up to 90 degrees.

So in this context, it means that the sum of the degrees of angles 9 and 10 are equal to 90 degrees.

Cheers!

Answer:

Step-by-step explanation:

One

The exterior angles of a triangle add up to 360. You know two of them. Therefore you can find w.

125 + 90 + w = 360    Combine like terms on the left

215 + w = 360             Subtract 215 from both sides

w = 360 - 215              Combine

w = 145

Two.

The polygon has 4 exterior angles. They too should add up to 360.

88 + x + 108 + 115 = 360     Combine the left had side

x + 311 = 360                       Subtract 311 from both sides

x = 360 - 311                        Combine

x = 49

What have you learned? You should notice that all polygons have exterior angles that add up to 360

Answer:

2 1/8

Step-by-step explanation:

In order to subtract two fractions with unlike denominators, you have to bring them to THE SAME denominator. You can do that by multiplying both the numerator and denominator of 3/4 by 2 (so it can have a denominator of 8) to get 6/8. Then, simply add 1 3/8 and 6/8 by combining the numerators and keeping the denominators the same. You should get 1 9/8 which is, as a mixed number, 2 1/8

Answer:

Step-by-step explanation:

A. Substituting any value of x makes the expressions equivalent

B. Both expressions involve addition

C. The expressions name the same number regardless of the value of x

D. 2(x +1) can be rewritten as 2x + 2 using the distributive property

Answer: 5 mins 110 words10 mins 220 words.

Step-by-step explanation: Tia types 66/3 = 22 words per minute.

Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types

22 * 10 = 220 words. Hope this helps! lol!

Answer: 729

Step-by-step explanation:

Answer:

Yamete Kodasai

Step-by-step explanation:

Thankyou sa pnts

Answer:

[tex]S_{32}[/tex] = 140

Step-by-step explanation:

The sum of n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 0.5 and d = a₂ - a₁ = 0.75 - 0.5 = 0.25 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 0.5) + (31 × 0.25) ]

     = 16(1 + 7.75)

     = 16 × 8.75

     = 140

Answer:

the probability will be 18.18%