David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?

Answers

Answer 1

Answer:

David share is 36 sweets

Step-by-step explanation:

let Lucy share be x

let David share be y

Lucy has 27 more

x=y+27

total sweet is x+y

y+27 +y= 2y+27

total ratio = 4+7=11

David share=

[tex]y = \frac{4}{11} \times (2y + 27)[/tex]

[tex]11y = 4(2y + 27)[/tex]

[tex]11y = 8y + 108[/tex]

[tex]11 y- 8y = 108[/tex]

[tex]3y = 108[/tex]

y=108/3= 36


Related Questions

Which of the following'illustrates the truth value of the given conditional statement?
p: 10 > 7
q. 10 > 5
~p→q

Answers

Step-by-step explanation:

?I'm not sure what you are trying to say

A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

Answers

Answer:

Its associated z-score is -1.16.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.

This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].

If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore

This is Z when X = 10.98. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]

[tex]Z = -1.16[/tex]

Its associated z-score is -1.16.

Helpppp need it fast plz

Answers

Answer:

B

Step-by-step explanation:

4 is a lot less than the others

yez

A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?

3456 games

8 games

432 games

8 cubic inches​

Answers

Answer:

432

Step-by-step explanation:

6 games x 6 games x 12 games = 432 games

Question 6
<
Match the name of the sampling method descriptions given.
Situations
pulling 50 names from a hat
MI divide the population by age and select 5 people from each age
Vask all the students in your math class
Mi call every 15th phone number on every 5th page of the phone book
Sampling Method
a. Stratified
b. Systematic
c. Simple Random
d. Convenience

Answers

Answer:

C.

Step-by-step explanation

shes pulling RANDOM names. key word random, hope this helped

Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make the greatest number of bags that have all three cookie flavors and the same number of each flavor per bag. How many bags can he make without having any cookies left over? How many vanilla cookies will be in each bag?

Answers

Answer:

48 bags max if all 3 flavors must be in the bag. One flavor each in the bag.

I don't understand the other questions since the number of cookies per is not given nor the flavor mix


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

By creating some crops that resist certain insects

Step-by-step explanation:

Answer:

Aww man i wasn't the earliest

Step-by-step explanation:

By creating some crops that resist certain insects

plz help me really really fast this is my last question to work on

Answers

Answer:

$5

Step-by-step explanation:

25 = 4e + 5

20 = 4e

5 = e

reach eraser costs $5.

B. 9.526 to the nearest tenth

C. 19.826 to the nearest whole number​

Answers

B 9.5 to the nearest 10th
C 20 to the nearest whole number

A CD costs $13.50 before tax. What is the total cost after a 8% sales tax is added?

Answers

Answer:

$14.58

13.50+1.08= $14.58

The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.

Answers

Answer:

9.60 ; - 60.96

Step-by-step explanation:

Given the function :

F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.

x = 0

F(0)=6(0+1)/25 = 6/25 = 0.24

x = 1

F(1)=6(1+1)/25 = 12/25 = 0.48

x = 2

F(2)=6(2+1)/25 = 18/25 = 0.72

x = 3

F(2)=6(3+1)/25 = 24/25 = 0.96

x = 4

F(2)=6(4+1)/25 = 30/25 = 1.2

X ______0 _____ 1 ______ 2 ______ 3 ____ 4

P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2

Mean, μ = Σx*p(x) :

(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)

= 9.60

Variance : Σx²*p(x) - μ²

(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2

= 31.2 - 92.16

= - 60.96

The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the rectangle?

Answers

Answer:

2 units

Step-by-step explanation:

It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.

Gabriel contributes 19% of the total cost of bis health care coverage. He pays $38.80 every week towards this contribution. How much does his employer contribute to his health care coverage for the year?​

Answers

Around $160.

Hope this helps a little bit.

Explain the attributes that make a rhombus different from a rectangle
Explain the attributes that make a square different from a rhombus

Answers

Answer:

Angles and sides are the main differences! In a rectangle, all angles will be 90 degrees. In a rhombus, opposite angles will always be congruent. And, all sides in a rhombus are congruent, while in a rectangle, opposite sides are congruent

Step-by-step explanation:

here

PLEASE HELP ITS URGENT
WRITE A SHORT STORY WITH A SYMBOL THAT IS A CENTRAL PLOT A CONFLICT AND A CONCLUSION MAKE SURE THE STORY HAS CHARACTERS, DIALOGUE AND SETTING

BE CREATIVE AND EXPLORE YOUR IMAGINATION MUST BE 3 PARAGRAPHS

Answers

Answer:

I don't believe this is a mathematics related question....

Step-by-step explanation:

Don't have someone write this for you though, this sounds like a fun assignment. If you need help with the terms

Central plot = what is happening. Is a king trying to fight off a dragon? A penguin trying to learn to hunt?

Conflict = what goes wrong to make the goal harder.

Conclusion = How it ends.

Characters = People or creatures in the story.

Dialogue = What people are saying.

Setting = When and where the story takes place.

Numbers A set of 25 two digit numbers are listed below.
10 17 20 23 24 28 32 39 42 45 46 52 55
58 61 65 66 72 75 78 79 85 94 97 98

Choose one of these numbers at random. Find the probability of the following results.

The sum of the number's digits is odd??

Answers

Answer:

14/25

Step-by-step explanation:

The probability that the sum of the number digits is odd is 13/ 25.

What is probability?

Probability is the possibility of the outcome of any random event.

We have,

Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98

We have to see the number whose sum is odd.

10 = 1 + 0 = 1 (odd)

17 = 1 + 7 = 8 (even)

20 = 2 + 0 = 2 (even)

23 = 2 + 3 = 5 (odd)

24 = 2 + 4 = 6 (even)

28 = 2 + 8 = 10 (even)

32 = 3 + 2 = 5 (odd)

39 = 3 + 9 = 12 (even)

42 = 4 + 2 = 6 (even)

45 = 4 + 5 = 9 (odd)

46 = 4 + 6 = 10 (even)

52 = 5 + 2 = 7 (odd)

55 = 5 + 5 = 10 (even)

58 = 5 + 8 = 13 (odd)

61 = 6 + 1 = 7 (odd)

65 = 6 + 5 = 11 ( odd)

66 = 6 + 6 = 12 (even)

72 = 7 + 2 = 9 (odd)

75 = 7 + 5 = 12 (even)

78 = 7 + 8 = 15 (odd)

79 = 7 + 9 = 16 (even)

85 = 8 + 5 = 13 (odd)

94 = 9 + 4 = 13 (odd)

97 = 9 + 7 = 16 (even)

98 = 9 + 8 = 17 (odd)

We see that there are 13  numbers whose sum is odd.

The probability that the sum of the number digits is odd:

= 13 / 25

Thus the probability that the sum of the number digits is odd is 13/ 25.

Learn more about probability here:

https://brainly.com/question/11034287

#SPJ2

Need help on math question 20 points and brainlest

Answers

Answer:

Im pretty sure the answer is 3.75

Im im wrong im sorry

Answer:

3.75 cm

Step-by-step explanation:

1. Circle the figure you would use to make the Escher‐like tessellation given,

Answers

Answer:

C.

Step-by-step explanation:

Answer:

I got C.

Step-by-step explanation:

(It's on my math paper)

i’m stuck please help me

Answers

don’t have a calculator but it’s 6.75 times 3

HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE GUYS I BEG YOU BRAINLIST AND 40 POINTS
ONE IMAGE AND ONE QUESTION
FIND X

Answers

84?Step-by-step explanation:

Help Me :^

What is the quotient?

~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~

a. Negative 1 and one-half

b. Negative StartFraction 3 over 32 EndFraction

c. StartFraction 3 over 32 EndFraction

d. 1 and one-half

Answers

Answer:

d

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

Answer:

d madam

Step-by-step explanation:

edge 2021

Two sailboats and their triangular sails are shown in the image below.
The top angles of the two sails are congruent. Based on the information in the image, what is the height of the smaller sail
10.1
11.025
5.9
6.4

Answers

Answer:

6.4 i promise

Step-by-step explanation:

Answer: 6.4

Step-by-step explanation:

What percent is 45 of 72?

Answers

Answer:

32.4

32.4 is 45% of 72

Step-by-step explanation:

Solution:

What is 45% of 72?

Y is 45% of 72

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 72

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 72

Y = 32.4

Evaluate p(18,3) probability

Answers

Answer:

what?

Step-by-step explanation:

please help PLEASE help​

Answers

Answer:

14:1

Step-by-step explanation:

To find out how many kids go in each group, do 406 divided by 29, which gives you 14, therefore 14 students will go to each teacher, or 14:1

Answer: J 14 students over 1 teacher.

Step-by-step explanation:

divide 406 by 14 and you’ll get 29

Which expression is equivalent to d
6d – 3d?

Answers

Answer:

d (d^6-3)

the 6 is the exponent

Step-by-step explanation:

As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?


B) if the SAT test is in 12 weeks who will score the highest?


Please show all work !!

Answers

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

The solution are, a) 7 weeks

                             b) George's

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

To learn more on equation click:

brainly.com/question/24169758

#SPJ5

what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5​

Answers

Answer:

6%, 1/2, 0.6, 6/5

Step-by-step explanation:

Answer:

6%, 1/2, 0.6, 6/5

Step-by-step explanation:

you can convert all of these to fractions over a 100 to compare them. 6 percent is 6/100, 1/2 is 50/100, .6 is 60/100, and 6/5 is 125/100

find the area of a triangle with a base and height of 1/3 and 1/4

Answers

Answer: 1/12

Step-by-step explanation:

Multiply 1/3 by 1/4. Or just multiply 3 by 4.

3 x 4 = 12

Therefore, the answer is 1/12.

during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips​

Answers

Answer:

156 Miles in 4 trips.

Step-by-step explanation: 39*4=156

Answer:

156 Miles

Step-by-step explanation:

If they drove 4 trips and each trip is 39 miles you would multiply 4x39

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