Question 20
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.
(a) Work out the number of adults Penny needs for 56 children.​

Answers

Answer 1

Answer: 7

Step-by-step explanation:

We know that the ratio adults: children must be 1:8.

So if there are 58 children the ration is x: 56

56/8 (to find the number of adults) = 7

7:56 = 1:8


Related Questions

Can someone please help me I will mark u brilliant

Answers

Answer:

8

Step-by-step explanation:

eight (8)÷ by nine (9) ​

Answers

Answer:

[tex]8 \div 9 \\ = 0.888....[/tex]

.888... rounded would be .9

If = cos + (3 − 2

2

) − (3 + 2), find

2

Answers

Answer:

2

Step-by-step explanation:

I found it

What did you really want me to do

Answer: =−4.459698

Step-by-step explanation: Hope this is what you want & Hope this help :D

Consider the figures shown to answer Part A and Parts B.


Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere

Answers

Answers are C and E hope this helps!!

volume of sphere is 4.8 times the volume of cone (1).

A). Options (C) and (E) is correct.

B). 4.8 times

To choose the figure.

What is mensuration?

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

Part A

Volume of cylinder (1) = πr²h

                                   = π*(6)²*(5)

                                   = 565.5 cubic inches

Volume of cone (1)=π*r²*h/3

                             =π*6²*5/3

                             = 188.5 cubic inches

Volume of sphere =4π*r²*r/3

                               =4π*6²*6/3

                                = 904.8 cubic inches

Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.

Part (B)

Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8

Therefore, volume of sphere is 4.8 times the volume of cone (1).

Learn more about mensuration here:

https://brainly.com/question/23278855

#SPJ5

Johnson Electronics makes calculators. Consumer satisfaction is one of the top
priorities of the company’s management. The company guarantees the refund of
money or a replacement for any calculator that malfunctions within two years from
the date of purchase. It is known from past data that despite all efforts, 12% of the
calculators manufactured by this company malfunction within a 2-year period. The
company recently mailed 550 such calculators to its customers.
a. Find the probability that exactly 32 of the 550 calculators will be returned for
refund or replacement within a 2-year period.
b. What is the probability that 30 or more of the 550 calculators will be returned for
refund or replacement within a 2-year period?
a. What is the probability that 15 to 35 of the 550 calculators will be returned for
refund or replacement within a 2-year period?

Answers

Answer:

later ill answer this .. read and understand

By midweek, Wendy had spent $46.65. At the end of the week, she had spent $23.35 more. How much did Wendy spend that week?

Answers

70 dollars because addition

T what do you guys think of this (I know this is for help with math but I have no socail media.)​

Answers

Answer:

This is very cute.

Step-by-step explanation:

Answer:

Cute

Step-by-step explanation:

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

Answer:

positive

Step-by-step explanation:

hope this helps :)

Answer:

positive

Step-by-step explanation:

because your adding +2 when ur at 0

i need help! i provided the problem in the picture

Answers

Step-by-step explanation:

[tex] \frac{30}{wz} = \frac{40}{32 + 40 } \\ wz = 54[/tex]

[tex] \frac{40}{40 + 32} = \frac{28}{xz} \\ xz = 50.4[/tex]

So the Perimeter is

[tex]54 + 50.4 + (40 + 32) = 176.4[/tex]

Which of the following is the solution to 8 - 3x =41

A) X=11
B) x=16
C) X=-5
x=-11​

Answers

Answer:

x = -11

Step-by-step explanation:

Because 3 x -11 = -33 and

8 -(-33 = 41

Answer:

x=-11

Step-by-step explanation:

8_3x=41

_3x=41-8

_3x=33

Scroll on _3x For both parties

x=11

The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?

Answers

Answer:

AB = 97

Step-by-step explanation:

AB is half of mABD.

ab is going to be 97

Ella ate half of her gummy bears before adding thirteen more to the bowl. If she now has 25 gummy bears, how many did she start with?

Answers

Answer:

24 gummy bears

Step-by-step explanation:

25-13= 12

12 x 2 = 24

24 hope it helps!!!!!!!!!

given that alpha and beta are roots of the quadratic equation ax²+bx+c=0, show that alpha+beta=-6÷a and alphabeta=c÷a​

Answers

Answer:

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

[tex]\alpha \beta = \frac{c}{a}[/tex]

Step-by-step explanation:

Given

[tex]ax^2 + bx + c = 0[/tex]

[tex]Roots: \alpha \& \beta[/tex]

Required

Show that:

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

[tex]\alpha \beta = \frac{c}{a}[/tex]

[tex]ax^2 + bx + c = 0[/tex]

Divide through by a

[tex]\frac{a}{a}x^2 + \frac{b}{a}x + \frac{c}{a} = \frac{0}{a}[/tex]

[tex]x^2 + \frac{b}{a}x + \frac{c}{a} = 0[/tex]

The general form of a quadratic equation is:

[tex]x^2 - (Sum)x + (Product) = 0[/tex]

By comparison, we have:

[tex]-(Sum)x = \frac{b}{a}x[/tex]

[tex]-(Sum) = \frac{b}{a}[/tex]

Sum is calculated as:

[tex]Sum = \alpha + \beta[/tex]

So, we have:

[tex]-(\alpha + \beta) = \frac{b}{a}[/tex]

Divide both sides by -1

[tex]\alpha + \beta = -\frac{b}{a}[/tex]

Similarly;

[tex]Product = \frac{c}{a}[/tex]

Product is calculated as:

[tex]Product = \alpha * \beta[/tex]

So, we have:

[tex]\alpha * \beta = \frac{c}{a}[/tex]

[tex]\alpha \beta = \frac{c}{a}[/tex]

Reem is 5 years older (bigger) than 3 times Sara's age.
If Reem is 28 years old, how old is Sara?

Answers

Answer: 7 2/3

R = 3s + 5

28 = 3s + 5

23 = 3s

s = 7 2/3

A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error

Answers

Answer:

The margin of error is of 0.17.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.

This means that [tex]n = 35, \pi = 0.51[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a)Calculate the margin of error that the high school student will have.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]

[tex]M = 0.1656[/tex]

Rounding to 2 decimal places, the margin of error is of 0.17.

find the area of the triangle ! include the unit in the answer (cm) (cm2) (cm3)

Answers

Answer:476

Step-by-step explanation:

if you multiply 14 times 17 times 4 it equals 952 but if you divide it it equals 476

Answer:

the answer is 34[tex]cm^{2}[/tex]

Step-by-step explanation:

You would treat the question as 2 different problems, a small and big triangle. You use the the Pythagorean theorem to find base of the big triangle which would be 13.4(rounded) meaning that the base for the small triangle would be 3.6. From here you would use the equation to find the area of a triangle a = 1/2 bh. Find the area of each triangle separately and then add them together to get 34.

someone please help.
find the angle between the given vectors to the nearest tenth of a degree

u=<-5,-4>, v=<-4,-3>

a: -9.1
b: 1.8
c: 0.9
d: 11.8

Answers

Answer:

The answer is b: 1.8

Step-by-step explanation:

Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)

38.65980825 - 36.86989765 = approx. 1.8 (b)

:)

What is the value in simplest form 8*4/9

Answers

Answer:

32/9 or 3.55555555556

hope this answer helps you!

250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?

A) 0.257

B) 0.351

C) 0.360

D) 0.116​

Answers

Answer:

Option D

Step-by-step explanation:

Total number of employees in the organization = 250

Total person who have height greater than 180 centimeters and also have  black hair = 29

Probability of choosing a person who is taller than 180 centimeters and has black hair is

[tex]\frac{29}{250} = 0.116[/tex]

Hence, option D is correct

Answer:

The correct answer is D

Step-by-step explanation:

D) 0.116​

You have to find the probability of choosing a person at random taller than 180 cm and with black hair.

In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.

29/250=0.116

PLS TELL ME WHAT IT IS

Answers

Answer: J

Step-by-step explanation: Find out what 85% of 320 is.

Greg has a storage container in the shape of a
rectangular prism that has a volume of 360 cubic
feet. The container's base measures 8 feet long and
9 feet wide. What is the height of the storage
container, in feet?

Answers

Answer:

The answer is 5

Step-by-step explanation:

First you need to know the equation for volume which is: length×width×height

You have the length and the width which those are: l=8 and w=9

Multiply the length and width together: 8×9=72

Then divide 360÷72=5

Check your math: 8×9×5=360

Therefore, the correct answer is 5

I hope this helps you! ~Lex

1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5

Answers

Answer

(tan x + 3)=5

Step-by-step explanation:

Subtract. 82.6 - 27.9​

Answers

Answer:

the answer is 54.7

Step-by-step explanation:

82.6 - 27.9 = 54 7

SOME HELP HERE PLEASE?!!

Solve for x:
x+2 / x+5 = 2/3
A. -11
B. - 3
C. 2
D. 3
E. 4

Thanks!!​

Answers

Step-by-step explanation:

Your answer is 4. Hope you like my answer.

Answer:

x+2 / x+5 = 2/3

2x + 10 = 3x + 6

•°• x =4

correct option → E

Hope it helped :)

Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?

Answers

Answer:22% or 64/289

Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)

8/17 x 8/17 = 64/289

someone pls help with this equation (subtract the following two equations, to eliminate the x variable then solve for y) ILL MARK YOU BRAINLIEST!!!

Answers

Answer: I dunnu what ur tryna do but i think x= 27y/2 and y= 2x/27

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct

Answers

Answer:

I think it is option B

Step-by-step explanation:

I dont know if I am right

if I am your welcome

Answer:

16.33 inches

Step-by-step explanation:

circumference = πd = (3.14)(5.2) = 16.33 inches

​ \frac{5}{2}\mathrm{g}-\frac{1}{2}\mathrm{g}= 2 5 ​ g− 2 1 ​ g simlily

Answers

Answer:

ok

Step-by-step explanation:

help me please will give brainliest

Answers

Answer:

0.4

Step-by-step explanation:

Une coopérative vend un important lot d’œufs de trois tailles différentes.
20 % des œufs sont petits, 50 % sont moyens et 30 % son gros.
Les œufs sont de deux qualités : - « extrafrais » car pondus depuis moins de 9 jours ;
- « frais » car pondus entre 10 et 28 jours plus tôt.
On a remarqué que : ▪ 80 % des petits œufs sont extrafrais ;
▪ 50 % des œufs moyens sont extrafrais ;
▪ 20 % des gros œufs sont extrafrais.
Dans ce lot, on prélève un œuf au hasard et on note sa taille puis sa qualité.
On nomme respectivement P, M et G les événements « l’œuf choisi est petit », « l’œuf choisi est
moyen » ; « l’œuf choisi est gros » et on appelle E l’évènement « l’œuf choisi est extrafrais ».
1) Construire l’arbre de probabilité traduisant la situation.
2) Quelle est la probabilité d’obtenir : a. un petit œuf extrafrais ? b. un petit œuf frais ?
3) Quelle est la probabilité de choisir un œuf extrafrais ?
Aide moi svp

Answers

Answer:

546EEergh

Step-by-step explanation:

455/4355

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