Kelvin measured the distance from his door to the park. It is 1.5 miles. The distance from Kelvin’s house to the library is twice the distance from Kelvin’s door to the park. How far is it from Kelvin’s to the library?

Given:

Of the 50 students in the cafeteria, 7 have red hair.

Total number of students = 750

To find:

The proportion that could be used to predict the number of students who have red hair.

Solution:

Let x represent the number of students who have red hair.

The ratio of student having red hair to the total number of students are

[tex]Ratio_1=\dfrac{7}{50}[/tex]

[tex]Ratio_2=\dfrac{x}{750}[/tex]

The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.

[tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex]

Multiply both sides by 750.

[tex]\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750[/tex]

[tex]x=7\times 15[/tex]

[tex]x=105[/tex]

Therefore, the required equation is [tex]\dfrac{x}{750}=\dfrac{7}{50}[/tex] and the number of students who have red hair is 105.

Answer: 6.7*10^-5

Step-by-step explanation:

Answer:

-5

2.67x10

Step-by-step explanation:

that's the answer brainliest plsss

Answer:25,36,49

Step-by-step explanation:

Answer:

Step-by-step explanation:

1  ,  4  ,  9  ,  16  ,  25  ,  36  ,  49

1 +  3  +  5 + 7  + 9  +  11  + 13  = ↑

Hope this helps! <3

Answer:

f(x)= -2

Step-by-step explanation:

f(x) = x^2- 51

        -7^2-51

          49-51

            -2

f(x)= -2

Answer:

by adding 14581+418541=433,122

by adding 23427+23243=46,670

by substraction of both Numbers=

difference between both number is 386,452

Answer:

Step-by-step explanation:

Let

Price of

Hotdogs = x

Sodas = y

Candy bar = z

Smith family

Hotdogs = 3

Sodas = 2

Candy bar = 1

Total cost = $16.50

3x + 2y + z = 16.50

Patterson family

Hotdogs = 4

Sodas = 4

Candy bar = 2

Total = $26

4x + 4y + 2z = 26

Nguyen family

Hotdogs = 2

Sodas = 1

Candy bar = 3

Total cost = $13.75

2x + y + 3z = 13.75

The equations

3x + 2y + z = 16.50 (1)

4x + 4y + 2z = 26 (2)

2x + y + 3z = 13.75 (3)

Multiply (1) by -2

-2(3x + 2y + z = 16.50)

-6x - 4y - 2z = -33

-6x - 4y - 2z = -33 (1a)

4x + 4y + 2z = 26 (2)

Add (1a) and (2)

-6x + 4x = -33 + 26

- 2x = -7

x = -7/-2

= 3.5

x = $3.5

Multiply (3) by -4

-4(2x + y + 3z = 13.75) (3)

-8x - 4y - 12z = -55 (3a)

Add (3a) and (2)

-8x - 4y - 12z = -55 (3a)

4x + 4y + 2z = 26 (2)

-8x + 4x -12z + 2z = -55 + 36

-4x - 10z = -29

Substitute the value of x into

-4x - 10z = -29

-4(3.5) - 10z = -29

-14 - 10z = -29

-10z = -29 + 14

-10z = - 15

z = -15 / - 10

= 1.5

z = $1.5

Substitute values of x and z into (1)

3x + 2y + z = 16.50

3(3.5) + 2y + 1.5 = 16.50

10.5 + 2y + 1.5 = 16.50

12 + 2y = 16.50

2y = 16.50 - 12

2y = 4.50

y = 4.50 / 2

y = $2.25

Answer:

H

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The rest of the question is the attached figure and the statement options.

A. Over the interval [–4, –2], the local minimum is 0.

B. Over the interval [–2, –1], the local minimum is 25.

C. Over the interval [–1, 4], the local minimum is 0.

D. Over the interval [4, 7], the local minimum is -7.

============================================================

According to the graph, we will check the options:

A. Over the interval [–4, –2], the local minimum is 0.  (Wrong)

Because the minimum is -12

B. Over the interval [–2, –1], the local minimum is 25.   (Wrong)

Because the minimum is 18

C. Over the interval [–1, 4], the local minimum is 0.  (Wrong)

Because the minimum is at x = 4 less than zero

D. Over the interval [4, 7], the local minimum is -7.    (True)

Answer:

The answer would be D

Step-by-step explanation:

Answer:

If x is 55, z is also 55. Now subtract, and boom! you get 15 degrees

Step-by-step explanation:

I think the whole triangle is 125* total, and has three sides, one smaller than the rest. Hope this helps!

Answer:

umm 1500? hmqmmmmmm

ye

Answer:

a) line [EA]

b) line [HA]

Step-by-step explanation:

Answer:

a) line(EA)

b) line(HA)

Step-by-step explanation:

Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

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

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

Answer:

They are all in simplest form. Is that what you mean?

change in y/change in x

y2-y1/x2-x1

-1--5/0-2

-1+5/-2

4/-2

-2

slope is -2

now take one ordered pair and plug it into the equation (for this example i will use the SECOND ordered pair

y = -2x +b

-1 = -2(0)+b

-1 = b

the equation is

Answer:

7/12 or in decimal form it is .583

Step-by-step explanation:

Please mark brainliest!

hope this helps!

Answer:

linear

Step-by-step explanation:

Answer:

C. f(x)=3x-4

Step-by-step explanation:

slope formula is (y2-y1)/(x2-x1)

(-1+4)/(-1-0)

3/1=3

The slope is going up and to the right so it is positive

Answer:

answers in PDF

Step-by-step explanation:

Answer:

You have written 26 pages in total.

Step-by-step explanation:

I always enjoyed adding fractions. Something about it is so... simple.

The problem is basically asking us to add 20 1/2 and 5 1/2 together.

I would first suggest adding both halves together, to make 1.

That way, we're left with 20 + 5 + 1. That seem easier, doesn't it?

Then we would add 20, 5 and 1 together, to get 26 whole pages.

And that, to an extent, is how I did it.

Hope this helps! :D

Answer:

Given:

Written pages for Act 1 = 20 1/2

Written pages for Act 2 = 5 1/2

For making mixed numbers like this easier to add, let's convert them first into an irrational number with this formula,

((Whole Number × Denominator) + Numerator)/Denominator

Thus,

for 20 1/2

((20 × 2) + 1)/2 = 41/2

for 5 1/2

((5 × 2) + 1)/2 = 11/2

Then we add,

41/2 + 11/2

Since, they have the same denominator, no more conversions need, proceed adding the numerators,

(41 + 11)/2 = 52/2 = 26

You've written 26 pages in total.

Answer:

4 1/24

Step-by-step explanation:

1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24

Answer:

-9, -7, -5, -3, -1

Answer:

Step-by-step explanation:

5.

a+2=b

b-5=c

c-3=d

d+4=e

e=2-5-3+4

e=-2 (a loss of 2 yards)

6.

-2+2.5=0.5

Answer:

72773100000%

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.

Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

7277310001×100100=72773100000100

72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%

Therefore, we have shown that

727731000 = 72773100000%

Simplified Conversion:

Multiply by 100 and add the percent sign %

727731000 × 100 becomes 72773100000%

Shortcut Conversion:

Move the decimal point 2 places to the right and add the percent sign %

727731000 becomes 72773100000%

Answer:

78

Step-by-step explanation:

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9