Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children must be 1 : 8

Penny has 56 children at the nursery.

Work out the number of adults Penny needs for 56 children?
Show your wor

Answer:

The bench costs $375

Step-by-step explanation:

t + b = 793

t = b+43

(b+43) + b = 793

2b + 43 = 793

2b = 750

b = 375

The bench costs $375

Answer:

Step-by-step explanation:

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

Answer:

9/2

Step-by-step explanation:

Answer:

4.5 or 9/2

Step-by-step explanation:

Answer:

Summary

Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:

Answer:

3

Step-by-step explanation:

9 divide by 3 is 3 itself so the answer is 3

Answer:

whats the question

Step-by-step explanation:

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer:

( it's below)

Step-by-step explanation:

a. electron

b. proton

c. neutron

d. electron shell

Answer:

a:Electron

b:proton

C:neutron

d:electron shell

Answer:

60%

Step-by-step explanation:

3/5 likely, because there are five hours when the repairman could show up.

Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%

Answer:

for da other guy to get brainliest

Step-by-step explanation:

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

Answer:

46/100

23/50

46%

Answer:

bleh

Step-by-step explanation:

so that da other guy can get brainliest

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

Answer: $7142.86

Step-by-step explanation:

Let the amount to be invested in the bond be represented by y.

Based on this, the amount to be invested in the CD will be: = 50000 - y.

From the information given, yearly interest on bond is 12%, this will be:

= 12% × y = 0.12 × y = 0.12y

Also, interest on CD will be:

= 5% × (50000 - y)

= 0.05(50000 - y)

Then, the equation to get the amount to be invested in bond will be:

0.12y + 0.05(50000 - y) = 3000

0.12y + 2500 - 0.05y = 3000

0.12y - 0.05y = 3000 - 2500

0.07y = 500

y = 500/0.07

y = 7142.8571

y = 7142.86

The amount to be invested in bond will be $7142.86

Answer:

80% increase

Step-by-step explanation:

There are two ways to do this

The first way is to set up a percent proportion

[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]

To find x, we can do:

x = [tex]\frac{72 * 100}{40}[/tex]

x = [tex]\frac{7200}{40}[/tex]

x = 180

72 is 180% of 40

There is an 80% increase.

The second way to do it (the way I find easier) is to use benchmark fractions:

We look at 40 and 72 and realize that (40 * 2) - 8 = 72

So 200% of 40 - 8 = 72

Then, we find out what percent of 40 is 8.

10% of 40 is 4

so that means 20% of 40 is 8 (10% * 2 = 4 * 2)

Then we do:

80 - 8 = 72

200% - 20% = 180%

72 = 180% of 40

Which is an 80% increase

Let me know if you have any questions

Answer:

40 students choose Papa John's, and 24 did not

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

For each 8 students, 5 chose Papa John's. Out of 64, how many choose?

5 - 8

x - 64

Applying cross multiplication

[tex]8x = 5*64[/tex]

Simplifying by 8

[tex]x = 5*8 = 40[/tex]

40 students choose Papa John's.

In all, there are 64 students, so 64 - 40 = 24 did not

Answer:

4

Step-by-step explanation:

because variable is independent

Answer:

Step-by-step explanation:

Take average of the x-coordinates of A and B.

(-8+0)/2 = -4

x-coordinate of midpoint = -4

The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.

Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).

Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.

The midpoint is that point of the line which has an equal distance from both ends of the line.

the x  value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = -  4

Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.

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Answer:

Number of children in theater   = 94

Number of students   = 46

Number of adults in theater= 47

Step-by-step explanation:

Total seating capacity in the theater = 187

Let us assume the number of students in the theater = m

and assume  the number of children in the theater = 2k

So, the number of adults in theater = Half of number of children = 2k/2 = k

⇒ Number of ( Adults + Children + students) = 187

⇒ k  + 2k + m =  187, or 3k + m = 187

Step-by-step explanation:

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

Answer:

The answer is 5/2X - 1/4. The remainder is 23/4.

The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Compare the given equation of the line y = 3x + 5 with the general equation.

y = mx + c

y = 3x + 5

The slope, m = 3

y-intercept = 5

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Answer:

i wanna say it would be 1,735-3%y

Answer:

ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?

The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.

The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5

Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So

[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5

= [7.5*1.5*2*4]^0.5

= 90^0.5 sq cm

Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or

2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get

4*90 = [s1(s1-p)(s1-q)(s1-r)]

360 = s1(s1–11)(s1–6)(s1-AD) … (1)

2s1 = AD + 11 + 6 = AD + 17, or

s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get

360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)

360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)

360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)

= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)

= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)

360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or

-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or

0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or

0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or

AD^3 - 168.5 AD^2 + 6492.5 = 0, or

By trial and error, AD = 6.3272

Check: AD^3 - 168.5 AD^2 + 6492.5

6.3272^3 - 168.5*6.3272^2 + 6492.5

253.3- 6745.6 + 6492.5 = 0.2 as against 0

Hence AD = 6.3272 cm.

Answer:

Assuming you really mean the rectangle is ABCD, not ABDE:

Since DB is perpendicular to AC, it must be square.

If OA = 5, then OB = OC = OD = 5

This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.

5^2 + 5^2 =AB^2 = 7.07, not 13

Answer:

$60

Step-by-step explanation:

3x20=60

Answer:

<

Step-by-step explanation:

hhahaha

Answer:

231

Step-by-step explanation: