solve for c.

c + 3/8 = 1 1/3

Enter your answer as a fraction in simplest form.

Answer:

Proof below.

Step-by-step explanation:

Let f(n)=10+ n^2 - (n - 2)^2.

We want to prove f is even for integer n > or = 1.

Let's show f is even for the base case, n=1.

f(1)=10+1^2-(1-2)^2

f(1)=10+1-(-1)^2

f(1)=11-(1)

f(1)=10

f(1) is even.

Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.

Note: f(k)=10+ k^2 - (k - 2)^2.

We want to show f(k+1) is even.

f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2

f(k+1)=10+ (k+1)^2 - (k-1)^2

f(k+1)=10+ ((k+1)^2 - (k-1)^2)

That difference is a difference of squares. Let's try factoring it.

f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])

f(k+1)=10+ (2)(2k)

Multiply:

f(k+1)=10+4k

Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.

This proves for all integers n>=1 that f(n) is even.

We could have this without induction then. Let's do that here below this line.

-------------------

10+ n^2 - (n - 2)^2

10+[n^2 - (n - 2)^2]

Factor difference of squares:

10+(n-(n-2))(n+(n-2))

Simplify:

10+(2)(2n-2)

Factor:

2[5+(2n-2)]

Because of the factor of 2, the given expression is always even for integer n.

Answer:

2.8

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

2/8 porque ahy 8 y 2 estan coloridas.Si gustarias simplifar seria .25

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent value is ~

[tex] \boxed{17}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Answer:

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

Step-by-step explanation:

Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes

Answer choices

3

48

180

2,880

Help I need this answer fast I’m taking a test and I can’t fail 7th grade

The constant of proportionality for the relationship of letters to minutes is 180.

Two set of quantities are said to be directly proportional or just simply proportional if the corresponding elements of these two sets has a constant ratio. This constant is called the proportionality constant or coefficient of proportionality.

We have the proportional relationship between letters typing and the time in minutes taken to type the letters.

Time taken by Shama to type 12 letters = 4 seconds

                                                                  = 4 / 60 minutes

                                                                  = 1/15 minutes

Proportionality constant can be found by taking the ratio of these quantities.

That is, proportionality constant = 12 / (1/15)

The fraction in the denominator will be taken to the numerator as the reciprocal and the operation changes into multiplication.

Proportionality constant = 12 × (15/1) = 180

Hence the proportionality constant for the relationship of the quantities letters and minutes is 180.

To learn more about Proportionality, click :

https://brainly.com/question/29126727

#SPJ5

Answer:

-1.2 is the answer i think

Answer:

1 and 3

Step-by-step explanation:

The reason 1 and 3 are similar due to the fact 3x2 is 6 (one side of 3) and 5x2 is 10 (another side of 3) therefore they are similar because one is sized up slightly.

Answer: C

Step-by-step explanation:

The answer is C

The graph C. represents the polynomial with zeros of -3, 0 and 2.

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph.

Or we can say that the x- intercept of the graph of the polynomial are the zeros of that polynomial. Thus, the graph with x - intercept -3, 0, 2 represent the required function.

Learn more about zeros of a polynomial here

https://brainly.com/question/10702726

#SPJ2

Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.

Hope I helped:)

Answer:

y = -3/5x + 2

Step-by-step explanation:

-1 = -3/5(5) + b

-1 = -3 + b

2 = b

y = -3/5x + 2

Answer:

see explanation

Step-by-step explanation:

Since BD bisects ∠ ABC , then

∠ ABD = ∠ DBC , substitute values

3x + 4 = 55 ( subtract 4 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Step-by-step explanation:

Statement                                          Reason

BD bisects ∠ABC                              Given

m∠ABD = (3x + 4)°, m∠DBC = 55°    Given

∠ABD ≅ ∠DBC                                  Definition of angle bisector

3x + 4 = 55                                         Definition of congruence

3x = 51                                                Subtraction property

x = 51/3                                               Division property

x = 17                                                   Proved

Answer: EACH FRIEND GETS 32 DOLLARS

Step-by-step explanation:

DIVIDE 96 BY 3

Answer:

$32

Step-by-step explanation:

Divide 96 to 3

96 ÷ 3

= $32

She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km

The trip there would be 300 km and she drove for 6 hours

Average speed = 300 km / 6 hours = 50 km/h

Answer: 50 km/h

Answer:

should be 105 right

Step-by-step explanation:

Answer:

105 sheep are spotted.

Step-by-step explanation:

42% of the 250 sheep are spotted. We would need to find 42% of 250.

250 * 0.42 = 105

105 sheep are spotted.

Hope this helps.

Answer:

x= 60.4

Step-by-step explanation:

y = 60.4

z= 29.6

x= 60.4

By complementary angle rule

A)

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

B)

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

Answer:

(y-d) × a + c

Step-by-step explanation:

You start with y:

y

subtract d:

y-d

multiply by a:

(y-d) × a

then add c:

(y-d) × a + c

Hope that helps! :)

Question:

A company sets up a food booth and a game booth at the county fair. The fee for the food booth is $100 plus $5 per day. The fee for the game both is $50 plus $7 per day. Write an expression for how much both will cost for the same number of days.

Answer:

105 times 15= 1575

57 times 20= 1140

1140+1575= 2715

(2715)(d)= x

Step-by-step explanation:

Take lcm of 6,8,10 = 120

40 + 60 + 60/ 120

= > 160/ 120

= > 4/3 = 4 (1/3)

Answer

  595.005, 595.05,595.50 that's from least to greatest. please let me have brainliest

Step-by-step explanation:

595.005 , 595.50 595.05

Step-by-step explanation:

two consecutive numbers means that one is larger by 1 than the other number.

so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.

to show what I mean, let's start with the second number being the larger one.

we are dealing therefore with x and (x+1).

3x + (x+1) - 2 = 144

4x - 1 = 144

4x = 145

x = 145/4

this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution.

therefore we are checking the other approach :

we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.

3(x+1) + x - 2 = 144

4x + 1 = 144

4x = 143

x = 143/4

this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution either.

and now I am beginning to think you left out some important information in the question.

could it be these 2 numbers are consecutive even or consecutive uneven numbers ?

because then the difference between the both of them is 2 and not 1.

we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :

3x + (x+2) - 2 = 144

4x = 144

x = 144/4 = 36

ah ! now that looks different !

36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.

let's check :

36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144

correct.

and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :

3(x+2) + x - 2 = 144

4x + 6 - 2 = 144

4x + 4 = 144

4x = 140

x = 140/4 = 35

35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...

so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.

Answer:

3.46x10-2

×

10

−

2

3.46

×

10

−

2

Explanation:

a number expressed in

standard form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

a

×

10

n

2

2

∣

∣

∣

−−−−−−−−−−−−

where

1

≤

a

<

10

and n is an integer

express

0.0346

as a number between 1 and 10

3

∙

46

we now have to move the decimal point 2 places to

the left to retain equality

move to the right

→

then n is positive

move to the left ←

then n is negative

⇒

0.0346

=

3.46

×

10

−

2

Answer:

Option C

Step-by-step explanation:

[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]

[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]

[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]

[tex]\frac{2x^2z^3}{y}[/tex]

Answer:

4

Step-by-step explanation:

yeah 4/8 is the answer. yeah-ya

Answer: Binomial

Monomial= 1 term

Binomial= 2 terms

Trinomial=3 terms

Polynomial= 4 terms or more

Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

Step-by-step explanation:

4:6 as a fraction is 4/6

4/6 in its lowest terms is 2/3

hope this helps