Simplify
I don’t get it

Answer:
12 adult tickets, 16 child tickets

Step-by-step explanation:

x is the amount of adult tickets
y is the amount of child tickets
----------------------------------------------------------

lets make 2 equations:
1)    x + y = 28
2)   8x + 5y = 176
----------------------------------------------------------

now we can substitute either x or y into the second equation so that we only have to deal with one variable at once.

x + y = 28
subtract y from each side:
x + y - y = 28 - y
which gives you:
x = 28 - y
-------------------------------------------------------

Then we plug that into the second equation, which will give us:

8(28 - y) + 5y = 176

now you want to expand 8(28 - y), so you use the distributive property.

8(28 - y) = 8*28 - 8*y = 224 - 8y

now that we have solved that, plug it back into the equation:

224 - 8y + 5y = 176

subtract 224 from each side:

224 - 8y + 5y - 224 = 176 -224

which gives us:
-3y = -48

now if you multiply each side by ( -1 ) you get:
3y = 48

now divide both sides by 3 and you get:
y = 48 / 3

48 / 3 is 16

y = 16
-------------------------------------------------------------------------------

now plug y = 16 into equation 1

equation 1 was x + y = 28

plug 16 in for y which gives us:

x + 16 = 28

subtract 16 from both sides

x + 16 - 16 = 28 - 16

Which finally gives us
x = 12
---------------------------------------------------------------------------------

Remember:
x is the amount of adult tickets
y is the amount of child tickets

x = 12 means that 12 adult tickets were sold
y = 16 means that 16 child tickets were sold
----------------------------------------------------------------------------------

if my answer is not correct, please reach out to me :)

Answer:

B. A(r(t)) = 25πt²

Step-by-step explanation:

Find the completed question below

The radius of a circular pond is increasing at a constant rate, which can be modeled by the function r(t) = 5t where t is time in months. The area of the pond is modeled by the function A(r) = πr². The area of the pond with respect to time can be modeled by the composition . Which function represents the area with respect to time? A. B. C. D.

Given

A(t) = πr²

r(t) = 5t

We are to evaluate the composite expression A(r(t))

A(r(t)) = A(5t)

To get A(5t), we will replace r in A(t) with 5t and simplify as shown

A(5t) = π(5t)²

A(5t) = π(25t²)

A(5t) = 25πt²

A(r(t)) = 25πt²

Hence the composite expression A(r(t)) is 25πt²

Option B is correct.

Answer:

Step-by-step explanation:

B . Correct

Answer:

the <5 = 28

because if u add <1 and <5 it will be a 180°

so....if u 180 - 152 ( which is the angle of 1< )

and

same goes to 2< and <3 but its a 90°

so....<2 = 90° - 36°

= 54

u should get the <4 too....

hope u get it

please mark me brilliant

Answer:

441

Step-by-step explanation:

I think

Answer:

[tex]ML=27\\LN=27\\MN=54[/tex]

Step-by-step explanation:

Since L is the midpoint of MN, by the definition of midpoint:

[tex]ML=LN[/tex]

We can picture the following segment:

M----------L----------N

We know that [tex]ML=2x+7[/tex] and [tex]LN=3x-3[/tex]. Since the two segments are equivalent, we can set them equal to each other:

[tex]2x+7=3x-3[/tex]

Now, let's solve for x. Subtract -7 from both sides:

[tex]2x=3x-10[/tex]

Subtract 3x from both sides:

[tex]-x=-10[/tex]

Divide both sides by -1:

[tex]x=10[/tex]

So, the value of x is 10.

With this, we can find the remaining lengths.

We know that ML is [tex]2x+7[/tex].

Substitute 10 for x. So, the length of ML is:

[tex]ML=2(10)+7=20+7=27[/tex]

We know that LN is [tex]3x-3[/tex]. So, the length of LN is:

[tex]LN=3(10)-3=30-3=27[/tex]

Finally, MN will be the combined lengths of ML and LN. So:

[tex]MN=ML+LN=27+27=54[/tex]

And we're done!

Answer:

jdjssusaudisjdssdIes

Answer:

It's 14% p.a simple interest

Step-by-step explanation:

Simple interst:

Answer:

I = $ 649.60

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 14%/100 = 0.14 per year,

then, solving our equation

I = 2320 × 0.14 × 2 = 649.6

I = $ 649.60

The simple interest accumulated

on a principal of $ 2,320.00

at a rate of 14% per year

for 2 years is $ 649.60.

Compound interest

Answer:

A = $2,945.78

A = P + I where

P (principal) = $2,320.00

I (interest) = $625.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 12/100

r = 0.12 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 2,320.00(1 + 0.12/12)(12)(2)

A = 2,320.00(1 + 0.01)(24)

A = $2,945.78

Summary:

Answer:

144 is the l.c.m of 16 and 18

explanation:

multiples:

16 - 16, 32, 48, 64, 80, 96, 112, 128, 144

18 - 18, 36, 54, 72, 90, 108, 126, 144

Therefore,  144 is the l.c.m of 16 and 18 which is divisible by both numbers.

Answer:

144

Step-by-step explanation:

First, prime factorize the numbers.

16 = 2⁴

18 = 3² x 2

LCM (16, 18) = 2⁴ x 3²

= 16 x 9

= 144

Solution :-

144

Answer:

y = 2/3x - 3

Step-by-step explanation:

Given equation :-

Transformations :-

Solving :-

Answer:

Your answer is: k = 5+12/x

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

The slope-intercept form

Here m is the slope and b is y-intercept

When b= 0

and

In this case Avery's method works

When b≠0

In this case Avery's method brings wrong outcome

Answer:

Step-by-step explanation:

The expected frequencies from the data conducted to investigate the differences in the length of stay of a trip will be 221.7097, 72.471, 49.3881, and 25.7677.

From the complete question, the expected frequencies from the data about the trip will be calculated thus:

E(240) = (379 × 413) ÷ 706

=221.7097

E(83) =(379 × 153) ÷ 706

=72.471

E(40) = (379 × 92) ÷ 706

=49.3881

E(16) =(379 × 48) ÷ 706

=25.7677

Learn more about expected frequencies on:

https://brainly.com/question/16910222

He walks 5/6 of a mile each day.

Multiply the distance each day by the number of days:

5/6 x 5

When multiplying a fraction by a whole number, multiply the numerator ( top number) by the whole number and leave the denominator ( bottom number as is)

5/6 x 5 = (5 x5)/6 = 25/6 now rewrite as a proper fraction:

25/6 = 4 1/6 total miles.

Answer:

4 1/6 miles over the course of 5 days

Step-by-step explanation:

Answer:

AD = 9

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABD , then

AD² + BD² = AB² , substitute values

AD² + 12² = 15²

AD² + 144 = 225  ( subtract 144 from both sides )

AD² = 81 ( take square root of both sides )

AD = [tex]\sqrt{81}[/tex] = 9

Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So  to save money for her college classes her monthly budget should be less than 725 .

Budget is total plan of income and expenditure of a period .

Here given that Her annual salary as a child care specialist is $14,700 after taxes. and she lives with her older sister and helps with the rent by paying $500 per month.

So money she have after rent can be calculated as:

[tex]14700-12\times500\\\\14700-6000\\\\=8700[/tex]

So her monthly saving after rent is

[tex]\frac{8700}{12} \\\\\\=725[/tex]

So her  monthly budget should be less than 725

Tanisha lives with her older sister and helps with the rent by paying $500 per month. Her annual salary as a child care specialist is $14,700 after taxes. So  to save money for her college classes her monthly budget should be less than 725 .

To learn more about budget visit :https://brainly.com/question/24940564

Answer:

B

Step-by-step explanation:

Edge 2022

have a great day!

Answer: Range is y > -1

Explanation:

The lowest point is where the open hole is. This is when y = -1. The open hole means we exclude it from the graph, so we can't reach y = -1

We can have any y value larger than -1 as part of the range. So the range is the set of y values such that y > -1

Side note: the domain is x > 1 for similar reasoning, but we're looking at the possible x values now.

Answer:

[tex] {p}^{2} - 13p - 30 \\ \\ {p}^{2} - 15p - 2p - 30 \\ \\ p(p - 15) + 2(p - 15) \\ \\ (p + 2)(p - 15)[/tex]

# Jerry Don is here#

Answer:

[tex]\displaystyle [p + 2][p - 15][/tex]

Explanation:

Find two quantities that when differed to 13, they also multiply to 30. Those will be 2 and 15. The TINIER quantity gets the plus sign because the B-value is −13, therefore 15 gets the minus sign, leaving 2 with the plus sign.

I am joyous to assist you at any time.

Answer:

100cm = 0.001km

Step-by-step explanation:

100 divided by 100,000=0.001

Answer:

1/100th part of the whole part.

Step-by-step explanation:

Hope this helps :)

Answer:

8

Step-by-step explanation:

Answer:

50,000 pounds

Step-by-step explanation:

1 ton = 2,000 pounds

Answer:

34°

Step-by-step explanation:

sum interior measure = (n-1)*180 ; n is the number of sides

of the polygon

(n-1)*180

(4-2)*180

2*180

360° ( sum interior measure )

The angles of the quadrilateral are ( 90 , 90 , w , 146 )

90+90+146+w = 360

326+w = 360

w = 360-326

w = 34°

Hope you get benefit from it

Answer:

Because the second one is diffrent.

Step-by-step explanation:

Answer:

because one of the numbers is a negative unlike the other

Step-by-step explanation:

Answer:

294

Step-by-step explanation:

98*3=294

Answer:

294

Step-by-step explanation:

It is just 3x98

Answer:

Delay

Step-by-step explanation:

Because you are multiply x into 0.99, every time the multiplication takes place it will only become 99% of the value of the product of x and 400.

Answer:

24) 23.79

25)1.79

These answers are rounded

Step-by-step explanation:

Step-by-step explanation:

the answer is the last one, because if you plug in (5, -6) to both equations you would get equal answer.

Answer:

D

Step-by-step explanation:

5=x and -6=y so 5+-6 or 5-6=-1 so it makes the first equation true. Then plug it in to the second equation. (3)(5)--6 or (3)(5)+6 which = 15+6. 15+6=21. So both are true. Btw Im new to this hope this helps!

Step-by-step explanation:

I don't see all the options.

I only see the options under "angles", as it seems.

anyway, the way to prove this is :

the official definition of similar triangles is :

two triangles are said to be similar if their corresponding angles are congruent (and the corresponding sides are in proportion - but that is automatically true, when all 3 angles are matching).

so, if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. we know this, because if two angle pairs are the same, then the third pair must also be equal (remember, the sum of all angles in a triangle is always 180°). When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

now, we look at the 2 triangles.

the angles QPR and STR are congruent (the same size).

we know also the angles QRP and SRT : they are both 90° and therefore congruent.

and that means that also the third angles PQR and RST are equal and therefore congruent (due to the 180° sum rule).

so, we have all 3 pairs of angles to be congruent, and the two triangles are therefore similar.

Answer:

The answer is 60!

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Explanation:

An equilateral triangle has three sides of the same length, which in turn means that the curved arc pieces AB, BC and AC are the same length (but longer than each side of the triangle).

Furthermore, it leads to the fact that we split a 360 degree circle into three equal portions of 360/3 = 120 degrees each.

Imagine we drew in the line segments AX, BX, and CX. This splits the circle into 3 equal pie slices. Central angle BXC is 120 degrees because of the earlier calculation done before.