at an amusement park, children are charged an entrance fee of $20 plus $3 per ride and adults are charged an entrance fee of $28 plus $4 per ride. Identify your variable with a 'let' statement and write expressions for both children and adults that represent the cost for each group.

Answer:

$1500

Step-by-step explanation:

You multiply the $50 an hour by the 20 hours and you end up with $1000, then you add the flat rate of $500 and you get $1500.

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values

[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔJKL

one segment MN which is intersecting sides KJ & KL

ΔJKL has one similar triangle inside, which is ΔMKN

Triangle ΔJKL and ΔMKN are similar,

So, we can say ΔJKL ≈ ΔMKN

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, KN/MN = KL/JL

⇒ (X + 1)/12 = (3X -2)/32

⇒ 32X + 32 = 36X - 24

⇒ 32 + 24 = 36X - 32X

⇒ 56 = 14X

⇒ X = 4

To know more about properties of triangles check:

https://brainly.com/question/8476788

#SPJ1

Answer:

 ((x - (2x - 3)/(3x - 2))/(3x + 4)

and its fractional equivalent

       2x - 3

   x - ------

       3x - 2

   ----------

     3x + 4

it is easier to see the relation between the various parts, and how it

might be simplified, when you see it in the latter form. Notice that I

didn't have to use parentheses at all; that's because the bar serves

the double purpose of indicating division and of separating the

divisor from the dividend. In fact, this usage derives in part from an

old use of the bar (called a vinculum) to do what we usually do with

parentheses today, by putting a bar above any group of symbols that

are to be kept together:

Step-by-step explanation:

if wrong report me

Answer:

367.62 in³

Step-by-step explanation:

The volume of a sphere is V = (4/3)πr³.  

Here, that volume of the whole sphere is V = (4/3)(3.14)(5.6 in)³, or

V = 735.25 in³

A 'hemisphere' is half a sphere.  Thus, the volume of each hemisphere shown here is

735.25 in³

---------------- = 367.62 in³     This just about matches the first answer choice.

        2

Answer:

y=3/5x+3

Step-by-step explanation:

Answer:

28.26 is the awnser

Step-by-step explanation:

Tell me if i got it right

THAnks

Answer:

-1/10

Step-by-step explanation:

its down 1 and right 10 so you know the slope is -1/10

(can I get brainliest please)

Answer:

[tex]XY = 18[/tex]

Step-by-step explanation:

Given

[tex]ABC:AXY = 4 : 3[/tex]

[tex]BC = 24[/tex]

Required

Find XY

Represent BC and XY as a ratio;

[tex]BC : XY = 24 : xy[/tex]

Recall that:

[tex]ABC:AXY = 4 : 3[/tex]

Equate both ratios;

[tex]24 : xy = 4 : 3[/tex]

Convert to fractions

[tex]\frac{24}{xy} = \frac{4}{3}[/tex]

Cross Multiply

[tex]xy * 4 = 24 * 3[/tex]

[tex]xy * 4 = 72[/tex]

Divide through by 3

[tex]xy * 4/4 = 72/4[/tex]

[tex]xy = 18[/tex]

Hence:

[tex]XY = 18[/tex]

Answer:

XY = 18

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hard to explain, but trust me.

Answer:

I think its c but im not sure srry if im wrong im not good at math

Step-by-step explanation:

Answer:

Did you ask a question? I just checked your profile to see if you posted any but i dont see anything except this

Step-by-step explanation:

Answer:

there is no question asked

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.

7 * 6 = 56 square feet

This means that we would be adding 2 feet to each side.

D since the line is going to the right.

d

good luck  

n     kjhikjnbjkjnhb hjijnbhjijijn

Answer: You need to pay $119.98 for three pairs of jeans.

Step-by-step explanation:

Market price of 1 jeans = $49.99

Discount percent = 20% = 0.20

Market price for 3 jeans = 3 x ($49.99)

= $ 149.97

Discount price = 20% of (Market price for 3 jeans )

= .0.20 x ($149.97)

= $ 29.99

Price of 3 jeans after discount = (Market price for 3 jeans ) - ( Discount price)

= $ (149.97 - 29.99)

= $  119.98

Hence, you need to pay $119.98 for three pairs of jeans.

Answer:

[tex]\frac{1}{x}[/tex]

or

[tex]\frac{4x^{2} -3}{x}[/tex]

Step-by-step explanation:

can i have brainliest?

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

Answer:

10x>5x+100

Step-by-step explanation:

it says expression not equations so its < , >,

The profit would be on one side and the expenses on the other

No negatives

so it would be 5 times X (the amount of shirts) plus the base fee of $100

and they plan on selling it for 10$ each so (10x) is the profit

X = number of shirts

Answer:

X = 12/60%

60% = 0.6

X = 12/0.6

X = 20.

For the second one, multiply 350 by 0.02, which is just 2% in decimal form.

350*0.02 =7

That's 7 eggs.

Hope this helps!

Answer:

L = 2W

If L = 50cm

then

w= 25cm

Area = L*W= 50*25

Area= 1250 cm^2

Perimeter

P = 2(L+W)

P= 2 (50+25)

P = 150cm

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

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

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

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

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

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

Answer:

57.60

Step-by-step explanation:

Multiply $64 by .1 which is the decimal form of 10%. You should get 6.4. Then you subtract 6.4 from 64, you get 57.60.

Answer: D

Step-by-step explanation: did you get it right

Answer:

D

Step-by-step explanation:

Answer:

Ainsworth (1970) identified three main attachment styles, secure (type B), insecure avoidant (type A) and insecure ambivalent/resistant (type C).

Step-by-step explanation:

For example, Schaffer and Emerson suggested that attachments develop in four stages: asocial stage or pre-attachment (first few weeks), indiscriminate attachment (approximately 6 weeks to 7 months), specific attachment or discriminate attachment (approximately 7-9 months) and multiple attachment (approximately 10

Answer:

Hope it can help you.......

If you understand my answer, You can mark me as a brainlist...........

Follow me.........

Answer: The restaurant can make 199 pancakes in two hours.

Step-by-step explanation:

Given: Total number of cups of pancake mix used in 1 hour = 124

Mix required for each pancake = [tex]1\dfrac14=\dfrac{5}{4}[/tex]

Number of cups of pancake mix used in 2 hours = 2 x 124 = 248

Number of pancakes made = (Number of cups of pancake mix used in 2 hours ) ÷ (Mix required for each pancake )

[tex]=248\div\dfrac54\\\\=248\times\dfrac45\\\\= 198.4\approx199[/tex]

Hence, the restaurant can make 199 pancakes in two hours.

Answer: 5%.

Step-by-step explanation:

Given data:

Old price = $28,640

New price = $27,208

Solution:

Percentage of decrease

= old price - new price / old price * 100

= $28,640 - $27,208 /. $28,640 * 100

= $1432/$28,640*100

= 0.05*100

= 5%.

The percentage of decrease for the car is 5%.

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent, that is

∠ Q = ∠ P, substitute values

3x + 1 = 2x + 10 ( subtract 2x from both sides )

x + 1 = 10 ( subtract 1 from both sides )

x = 9

Thus

∠ Q = 3x + 1 = 3(9) + 1 = 27 + 1 = 28° → D

Answer:

456.25

Step-by-step explanation:

25% as a decimal is .25

To find 25% of her monthly income, multiply 1,825 by .25

1825*.25=$456.25

Step-by-step explanation:

The answer is over stretching the ligament

Answer:

Sprain: over-streching the ligament

Tear: Torn or separated from bone

Dislocation: Bones separated from joint

Arthritis: Overuse injury that occurs over time

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation: