What is the solution to equation 3 1/2 + p = 5 1/4?

a. p = 3/4
b. p = 2 3/4
c. p = 1/4
d. p = 1 3/4

Answer method 1

81 adults and 2 child.

Answer method 2

Therefore  69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending

69 : 60 = 276: 120  = 3.02 distribution.

69 x £4 = $276 + 60-18 = 42 = 42 x 2 = $84

Combined = $276+$84 = $360

We find that an extra 8 adults didnt pay either.

Making this  69 adults and 60 children where 8 adults didn't pay and 18 children didn't pay. This way this create an average 3.02 for the 108 people attending.

3.02 x 108 =  $326

80 adults and 8 child

We use ratio of 108 attendees = 328/108 = 3.03 average price which shows ratio  child to adult 1:2

31 adult +42 child = $124 and $82 children = $208 children

38 more adults = 38 x 4 = 120 + 36 = $156 = (38 +18 children) = $156

= $364 - 36 = 6 child not paying = 12 and  6 adults not paying = 21

Therefore  69 adults came and 60 children came. Because 18 children did not pay we have 129-18 = 108 attending

of 48 paying and attending and the other 40 children potentially being non payers and part of

Step-by-step explanation:

4+2 = 6

8+2 = 10

4+4 = 8

We look for 80+ 28 and see 8+2 accounts for 4 adults 2 child = $20

We minus the 20 in workings and realize only when we work out 80 x 4 = 320 that only 2 child was needed and not 6 child for $12 of the 28. Because of me thinking 28 was a distribution, such resource of 4 + 1 adults became just 1 extra adult and 1 extra child.

Simply as I was chasing distribution of $24

8 of 24 was kept as

8 accounts for 1 adult and 2 child. = $8

80 accounts for 60 x $4 adults = $240 + 20 x 4 = $80

240+80=320

= $320 +$20 + $8 (-$20) = $328

Here we did not have to count back to find the correct amount only go steady with 80 distribution for 81 adults and only 2 child.

Answer:

-30k^3-10k^2+30k

Step-by-step explanation:

Answer:

Height of the cylinder is 1ft

Step-by-step explanation:

Data ;

Volume = 314ft³

Assuming radius = 10ft

Height = ?

π = 3.14

Volume of a cylinder = πr²h

r = radius

h = height of the cylinder

Vol = πr²h

314 = 3.14 × 10² × h

314 = 314h

Solve for h,

h = 314 / 314

h = 1ft

The height of the cylinder is 1ft.

Answer:

Step-by-step explanation:

it is

B

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Step-by-step explanation:

Answer:

the value of x° is also 60°

B

Answer:

60

Step-by-step explanation:

n would be 60 and a triangle is 180

Answer:

Step-by-step explanation:

The

x

-intercepts are

(

0

,

0

)

and

(

3

,

0

)

because

3

x

−

x

2

=

0

factored equals

(

x

)

(

x

−

3

)

=

0

When each of the parenthetical expressions is set equal to zero, you get

x

=

0

and

x

=

3

The vertex is

(

3

2

,

9

4

)

because the

x

-coordinate of the vertex is

x-coord. vertex

=

−

b

2

a

=

−

3

2

(

−

1

)

=

3

2

Then, you plug

3

2

into the equation for

x

and get

f

(

3

2

)

=

3

(

3

2

)

−

(

3

2

)

2

=

9

4

the graph of f(x) = 3x will be a Line.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a equation f(x) = 3x

Comparing with the slope-intercept form of the graph:

We can see the slope of the line will be 3 and since the y-intercept is 0

Since Function f(x) will be a linear equation

Therefore, its graph would be a line.

Learn more about Linear equations here:

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Answer:

27+ x

Step-by-step explanation:

Answer: 27 + x

Step-by-step explanation:

Add 13 + 14, which = 27

Now you are left with 27 + x

Answer:

Step-by-step explanation:

f(x) = 8x + 2

then

f(6) = 8(6) + 2

     = 48 + 2

     = 50

____________________________

:)

Answer:

I havent seen questions like this many times so here is solving for b

b=-2x

Just factor and solve.

Answer:

15

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

x - 1 would have to equal 6 in order for this expression to be true at 8/6 will simplify to 4/3.

x - 1 = 6

add 1 to both sides to get

x = 7

Please mark me as brainliest if this helped. Thank you!

Answer:

[tex] x= 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Multiply how much he is selling it for by 1.40 and you will get your answer

Answer:

the answer for this question is x = 13

Step-by-step explanation:

But where the option for this question?

Answer: 2/25

Step-by-step explanation:

Answer:

Correct answer is option D) Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of [tex]\angle ABC[/tex] if

[tex]\angle ABD = \angle CBD[/tex]

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of [tex]\angle QPR[/tex].

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between [tex]\angle QPR[/tex].

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of [tex]\angle QPR[/tex].

So, Correct answer is option D) Construct the bisector of an angle.

Answer: Option d

Step-by-step explanation: just took test

Answer:

b

Step-by-step explanation:

Answer:

  C) the number is less than zero

Step-by-step explanation:

In an if ..., then ... statement, the conclusion is the phrase following "then."

Here, we have ...

  If a number is negative, then the number is less than zero.

__

The conclusion is formatted in bold italics.

Answer:5 1/3

Step-by-step explanation:

Hope I helped u :)

Answer:

1/6

Step-by-step explanation:

The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

Answer:

50

Step-by-step explanation:

Answer:

area of rectangle = l×b

total area = (11×6) + (8×4)

= 66 + 32

= 98in.sq

Answer:

192

Step-by-step explanation:

ratio of 16/20

cross multiple with x/240

20x=3840

divide

192

Answer:

point Form: (1,7)

Equation form: x=1, y=7

Step-by-step explanation:

Answer:

(x+10) (x+6)

Step-by-step explanation:

x^2 + 16x + 60

Factor

What 2 numbers multiply to 60 and add to 16

10*6 = 60

10+6 = 16

(x+10) (x+6)

Answer

1 is the second option, 2 is the third option

Step-by-step explanation:

for the first one divide both sides by 7 giving you z < -4

since z is less than the arrow will go to the left and will start at -4, but the will be an open circle since z is not equal to -4 answer b

for the second

it is 6/20 or 3/10

3/10 is 30% so answer c

Answer: 17 is the only prime number

Step-by-step explanation:

Answer:

C 17

Step-by-step explanation:

A. 18  = 2*9  so not prime

B. 12  = 3*4 so not prime

c. 17  

D. 28 = 4*7 so not prime

17 = 1*17 so the only numbers are 1 and itself so it is prime

Answer:

2:50 pm

Step-by-step explanation:

In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.

20+25+15+10=45+25=70

So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.

We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.

Answer: if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if  0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

Here x will represent the number of minutes.

so if  0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

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