Kate stands 2 meters from a lamppost. She is 2.1 meters tall and casts a shadow 3 meters long in the light from the lamp. How tall is the lamppost? See diagram below.​

Answer:

x=8

y=11

Step-by-step explanation:

2(8) + 2(11) = 38

8 + 3 = 11

Step-by-step explanation:

Let aron's variable be = a

Let davids variable be( 6 less tan 3 times aron) = 3×a-6

Thier sum is =214

So,

3×a-6 + a = 214

3a -6 +a = 214

(transpose)

3a + a = 214 + 6

4a = 220

a = 220/4

a= 55

Thus,aron's score is = 55

And davids score is (3×a-6) = 3×55-6 = 159

Checking,

Aron score + david score = 214

55 + 159 = 214

SO, ITS CORRECT

HOPE IT HELPS :)

Answer:

14.2

Step-by-step explanation:

you just have to add both of the numbers shown in the question

Answer:

[tex]83f+49.8b \leq 560[/tex]

Step-by-step explanation:

Given that the cost of 1 floor ticket = $ 83.

Cost for f floor tickets = $ 83f

Ticket for 1 balcony ticket = 60% of floor ticket.

= 0.60 x 83 = $49.8

Cost for b balcony tickets = $ 49.8b.

Total cost for f floor tickets and b balcony tickets, C= 83f+49.8b.

As the person can spend a maximum of $560,

So, [tex]C\leq 560[/tex]

[tex]\Rightarrow 83f+49.8b \leq 560[/tex].

Hence, the required inequality is [tex]83f+49.8b \leq 560[/tex].

Answer:

60

Step-by-step explanation:

Let the original number be x.

According to the question we can write as (2/3)x+20x

On rearranging x−(2/3)x=20

Now taking the L.C.M od 1 and 3 is 3

(3x−2x)/3=20

x/3=20

Again by transposing x=60

So the original number is 60

Answer:

60

Step-by-step explanation:

Let the number be x

2/3 x = x -20

20 =x -2/3x

1/3 x =20

60 = x.

Answer:

3x+10

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the probability is 1/2

Let, amount of 14% solution required is x ounces.

So, amount of 8% solution will be ( 28 - x ) ounces.

Now, mathematical equation is :

[tex]\dfrac{14x}{100}+\dfrac{7(28-x)}{100}= \dfrac{8\times 28}{100}\\\\14x + 196 - 7x = 224\\\\7x = 28\\\\x = 4\ ounces[/tex]

Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.

Hence, this is the required solution.

Given :

Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.

To Find :

By what percentage has his garden changed with these changes.

Solution :

Let, initial length and breadth is x and y.

So, initial area = xy .

Size after increasing them :

y' = y + 0.50y

y' = 1.5y

x' = x + 0.2x

x' = 1.2x

Final area = (1.5y)(1.2x) = 1.8xy

So, percentage increase is :

[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]

Therefore, percentage increase in are is 80%.

Hence, this is the required solution.

Answer:

the answer is -13.64 i just took the test and it right promise.

Step-by-step explanation:

mark me as brainliest pls its right

Answer:

The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6

Answer:

D. 6

Step-by-step explanation:

Answer:

B, 6

I think! hope it helped

Answer:

Step-by-step explanation:

Part 1:y=426x+4298

        y=223x+6129

Part 2: x=9.020 (x is the number of months and y is the miles)

Part 3: y=8140.394, or 8,140 since it's rounding to the nearest mile

Answer:

See answers in explanation below

Step-by-step explanation:

1.   4298 + 426t = 6129 + 223t

2. Basically get into the graphing page and find "function" section then select "f(x) = mx + b", then graph f(x) = 426x + 4298 and f(x) = 223x + 6129

and find the answer at where these two lines intersect with each other, x=9.0197 (months)

3. sub x=9.0197 into any of the two equation and f(x) = 8140 (miles)

Answer:

128

Step-by-step explanation:

Answer:

233.33%

Step-by-step explanation:

His profit is 233.33%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, given that,

A carpenter bought some wood for #900.

He used the wood to make a shelf which he sold for #3000

Profit= #(3000-900)

        =#2100

So, percentage of profit = 233.33%

To learn more on percentage click:

brainly.com/question/13450942

#SPJ2

Answer:

17 meters

Step-by-step explanation:

I did 16^2 and 7^2 to get, 256 + 49 = 305. 305 squared is 17.4... Once you round it you should get the answer 17 meters.

Hope this helps :)

Answer:

The answer is 17 meter

Step-by-step explanation:

So the formula for this is a^2 + b^2 = c^

The two legs are a and b

So plug those into the equation

It should look something like this 7^2 + 16^2 = c^2

Then solve the exponents and you get 49 + 256 = c^2

After that just add the two integers and you have 305

Finally take the square root of 305 and you get 17

pls mark brainliest because i didnt waste your time Lol

Answer:

The perimeter of triangle ABC is 33.

Explanation:

AY = 7 is half of the line of XY so we would then multiply 7 by 2:

7 x 2 = 14

and we would then do this to all of our numbers:

8 x 2 = 16

18 x 2 = 36

now we make a full equation for the answer of the perimeter of triangle XYZ:

14 + 16 + 36 = 66

66 is the perimeter of triangle XYZ.

We would then divide this answer by 2 to find the perimeter of ABC because it is half of XYZ:

66 ÷ 2 = 33

The perimeter of triangle ABC is 33

Hope this helps! :)

Answer:

$2.50

Step-by-step explanation:

Is Selena paid $15 for 6 gallons and you want to find the price for one gallon, all you need to do is divide the price of 6 gallons ($15) by the number of gallons (6).

15/6 = 2.5. Your answer is $2.50. Hope this helps ^-^

Answer:

y = 4/3x

Step-by-step explanation:

Hope that helps you

Answer:

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.

Step-by-step explanation:

Answer:

x=3 c=3

Step-by-step explanation:

How to solve for x is 12 divided by 3 equals 4 so x would equal 3 and C would give you an answer of 3 also if i am correct. 3×3 + 3 = 12

Answer:

6x-2

Step-by-step explanation:

the side lengths are x+2, x+2, 2x-3 and 2x-3

(the other two are the same as the ones shown because it's a rectangle)

when you combine like terms you get 2x+4 and 4x-6

combine like terms again and you get 6x-2

hope this helps :)

Answer:

its B

Step-by-step explanation:

Because It says how many milescan he walk not how many Did he walk

Answer:

x=26 y=137

Step-by-step explanation:

5x-17+3x-11=180

8x=208

x=26

2y+5+3x-11=180

2y+5+(3*26)-11=180

2y=274

y=137

Answer: 33 votes

Step-by-step explanation:

First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:

= 60% × 220

= 0.6 × 220

= 132 students

Sonia has received 25% of the casted votes. The number of votes Sonia got will be:

= 25% × 132

= 0.25 × 132

= 33 votes

Layla has received 75%. Her votes will be:

= 75% × 132

= 0.75 × 132

= 99 votes.

50% of the total votes will be:

= 50% × 132

= 0.5 × 132

= 66 votes

The number of votes needed by Sonia to receive 50% of the total votes will be:

= 66 - 33

= 33 votes

Answer:

A

Step-by-step explanation:

Given that the triangles are congruent then corresponding angles are congruent, thus

∠ S = ∠ Y = 108°

∠ T = ∠ Z = 9n - 4

Given ∠ R = 6n + 1

The sum of the 3 angles in Δ RST = 180°

Sum the 3 angles and equate to 180, that is

6n + 1 + 108 + 9n - 4 = 180 , simplify

15n + 105 = 180 ( subtract 105 from both sides )

15n = 75 ( divide both sides by 15 )

n = 5 → A

Answer:

Step-by-step explanation:

Given

diameter of 41.6 m

So radius =41.6/2= 20.8

Solution

volume of a hemisphere=4/3πr^2

=4/3×3.14×20.8×20.8

=5433.9584/3

=1811.319

So the answer is 1811.319 =1811(nearest 10)

Answer:18847.3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

if the points are in a straight line going upward then they are corect

but if the points are scattered they are wrong its hard to answer this question he graph to look at

Answer:

$1.85

Step-by-step explanation:

Simple Subtraction!

$3.50 - $1.65 = $1.85

$1.85