A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?

The given linear system is:

[tex]\displaystyle \left \{ {{5x+7y=33} \atop {11x+7y=39}} \right.[/tex]

The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.

I will be multiplying the second equation by -1.

[tex]\displaystyle (11x + 7y = 39) \times -1 = -11x-7y=-39[/tex]

Rewrite the system:

[tex]\displaystyle \left \{ {{5x+7y=33} \atop {-11x-7y=-39}} \right.[/tex]

Subtract:

[tex]5x+7y=33\\-11x-7y=-39[/tex]

[tex]5x-11x=33-39\\-6x=-6[/tex]

Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.

[tex]\displaystyle \frac{-6x}{-6} =\frac{-6}{-6}[/tex]

[tex]\displaystyle x=1[/tex]

Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.

[tex]5x+7y=33 \rightarrow 5(1)+7y=33[/tex]

Open the parentheses and multiply:

[tex]5+7y=33[/tex]

Move 5 to the other side to leave the variable alone:

[tex]5+7y-5=33-5[/tex]

You will be subtracting since you're "removing" it by doing the opposite of it.

[tex]7y=28[/tex]

Lastly, divide both sides by 7 to leave y alone.

[tex]\displaystyle \frac{7y}{7} =\frac{28}{7}[/tex]

[tex]y=4[/tex]

[tex]\displaystyle (x,y) \rightarrow (1, 4)[/tex]

The answer is (1, 4).

Answer:

(1, 4)

Tbh this question was a bit of a challenge for me but hopefully it helps ya.

Step-by-step explanation:

First, let's solve for y. So we have to eliminate the x values.

(5x + 7y = 33 ) *11

(11x + 7y = 39) *-5

___________

55x + 77y = 363

-55x -35y = -195   This eliminates the x value.

42y = 168 Divide both sides by 42 to isolate y: 168/42=   y = 4

Now let's solve for x.

(11x + 7y = 39) *7

(5x + 7y = 33 ) *-7

___________

77x + 49y = 273

-35x -49y = -231   This cancels out the y values, which leaves 42x = 42

x = 1 and y = 4, so the answer is (1, 4)

Answer:

-13/5

Step-by-step explanation:

=y2-y1/x2-x1

= -6-7/2--3

= -13/5

Answer:

Step-by-step explanation:

<3 = 55° ( vertically opposite angles )

<4 = 180 - 105 = 75° ( linear pair )

<5 = 180 - ( 55 + 75 ) ( angle sum property of a triangle )

    = 180 - 130

    = 50°

<1 = <2 ( angles opposite to equal sides )

let < 1 and < 2 be x

55 + 2x = 180 ( angle sum property of a triangle )

2x = 180 - 55

2x = 125

x = 125 / 2

x = 62.5

therefore, < 1 = <2 = 62.5°

Hope this helps

plz mark as brainliest!!!!!!

Answer: 121

Step-by-step explanation:

The formula for the square of sums is [tex](a+b)^2=a^2+2ab+b^2[/tex].

Applying the formula, we see that the only option for b is 11 squared, or 121.

Answer:

9 boxes

Step-by-step explanation:

hi

if the twi lines are  parallel , they have the same slope.

So  slope  is   1/2.  

equation of a line is  :  mx +p

The line goes throught  (-2 ; 4)

We have    1/2 ( -2)  + p =  4

                   -  2/2  +p = 4

                   -1 +p = 4

                       p = 4+1

                       p = 5

equation of the line  is   y = 1/2x +5

Answer: 3/5

Step-by-step explanation: Just divide both by 5.

hi

16p +24 = 48

16p = 48-24

 16p = 24

    p = 24/16

    P =  8*3 /8*2

    p =    3/2

Answer:

3/2

Step-by-step explanation:

First move 24 to the other side. Therefore, you subtract 24 from 48 (48-24). You’re left with 16p= 48-24. That is 16p=24. Now we are trying to find p so we’re going to divide both sides by the coefficient of p which is 16. So, p= 24/16. Both 24 and 16 are multiples of 8 so you can simplify to p=3/2. Hope you understand!

Answer:

x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−3=x+1

Step 1: Subtract x from both sides.

2x−3−x=x+1−x

x−3=1

Step 2: Add 3 to both sides.

x−3+3=1+3

x=4

Answer:

x=4

2x - 1x = x

x-3= 1

3+1 =4

so x=4

Answer:

Derek

Step-by-step explanation:

15/25

8/14

find common factor:

350 is the lcm for both of them

Derek: 15/25= 210/350

Meredith: 8/14= 200/350

So, Derek got a better score

Answer:

derek

Step-by-step explanation:

if u simplify them, meredith in simplest form in decimal is .571428

and derek when you simplify his in simplest form in decimal is .6

so therefore derek has a higher or better score

plz give me brainliest

Answer:

184in

Step-by-step explanation:

Since the scale for the statue is 3 inches to 100 feet, we can say 3:100 as a ratio.

To find approximately 305 feet you must divide 305 by 100.

100 can go into 300 evenly 3 times. Since the ratio is 3:100 you should multiply how many times the 100ft fit into the 300ft and the 3in (3 x 3) which is about 9in.

One way we can do this is to divide the hight of the Statue by the model height:

305ft 20in = 15.25ft 1in or 184in (12in per foot).

And so for every inch of the model, it represents 15.25 feet.

For 305 it would be

Answer:

Step-by-step explanation:

15.5

Answer:

15.5 is your answer. can I solve. for these u say yes or no

Answer:

false

Step-by-step explanation:

Given:

In an asteroid field, 75% of the asteroids are carbonaceous asteroids.

There are 375,000 carbonaceous asteroids in the asteroid field.

To find:

The number of asteroids that are not carbonaceous.

Solution:

Let the total number of asteroids be x.

According to question,

[tex]75\%\text{ of }x = 375000[/tex]

[tex]\dfrac{75}{100}x=375000[/tex]

[tex]0.75x=375000[/tex]

Divide both sides by 0.75.

[tex]x=\dfrac{375000}{0.75}[/tex]

[tex]x=500000[/tex]

Asteroids not carbonaceous = Total asteroids - Carbonaceous asteroids

                                                [tex]=500000-375000[/tex]

                                                [tex]=125000[/tex]

Therefore, 125,000 asteroids are not carbonaceous.

Answer:

Get a protractor

Step-by-step explanation:

You should have a protractor if you're doing this type of work. Measure the angles with it, and than order them from least to greatest. If you dont have a protractor, ask your parents to get you one ASAP

Answer:

The exponential function x is neither. An exponential function is a sum of an even and an odd fuction. The even fuction is known as even x and odd function is known as  x. the x is even function and sinx is odd function.

But thats if its an x funtion so uf its just a plain function its known to be even!

Step-by-step explanation:

Hopefully this helped, if not HMu and I will try my best to get you a better answer!

Answer:

find 9% of 12

12 times 9 divided by 100

108/100

$1.08

12+1.08

Your mean costs $13.08

-Have a nice meal!

Answer:

Yul I can't help u I don't understand it

Answer:

7,000,000,000

Step-by-step explanation:

7×10^9

The number after ten is how many zeros you put.

Answer: 7000000000

Step-by-step explanation: 7x

1000000000

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[tex]g(x) = 5( {7}^{x} )[/tex]

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The correct answer is (( D )) .

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The Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is  [tex]g(x) = 5(7^x)[/tex] .

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph .

According to the question

The graph of [tex]f(x) = 7^x[/tex]  stretched vertically by a factor of five .

i.e

we have to make change is graph equation so y axis changes 5 times .

Therefore ,

[tex]f(x) =( 7^x ) * 5[/tex]

The Graph transformation  of f(x) is

[tex]g(x) = 5(7^x)[/tex]

Hence, the Graph transformation of [tex]f(x) = 7^x[/tex] which stretched vertically by a factor of five is  [tex]g(x) = 5(7^x)[/tex]

To know more about Graph transformation here:

https://brainly.com/question/10059147

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Answer:

1 73/132

Step-by-step explanation:

GCF of 4, 11 and 3 is 132.

Convert the fractions and add!

Answer:

need more to answer can you give like units or something

Step-by-step explanation:

Answer:

need more info

Step-by-step explanation:

James would be spending the amount of  $75.80 which is the correct answer would be an option (D).

In mathematics, the multiplication operation Values on each side of the operator are multiplied.

We have been given that there were t-shirts for sale for $18.95 each at the amusement park, and James bought 4 of them.

To determine the amount of cost did he spend.

The amount of cost is equal to the multiplication of each t-shirts cost and

quantity.

The amount of cost = the cost of each t-shirt × quantity

The amount of cost = $18.95 × 4

Apply the multiplication operation to get

The amount of cost = $75.80

Therefore, he would be spending the amount of  $75.80.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

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Answer:

34

Step-by-step explanation:

1. Add 6 and 5 and that multiplies with 8 which would be 88

2. Then divide by 4, leaving you with 22.

3. Add that with 6(2), 12, and that gives you 34