Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6. How many cookies did they have in the first place?

Answers

Answer 1

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total  = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies


Related Questions

please help me

A bumblebee visits 14 flowers in 38 minutes to collect pollen. A butterfly's progress in visiting flowers is shown in the table. Which insect is visiting flowers at a faster rate?​

Answers

Answer:

Step-by-step explanation:

rate of Bumblebee=38/14=19/7=1 5/7 flowers /min

rate of Butterfly=21/7=3 flowers/min

so Butterfly is visiting the flowers at a faster rate.

each Rubber ball is = to 2 balls btw, Find the median of the data in the pictograph below.

Answers

Answer:

7

Step-by-step explanation:

The two in middle are 10 and 4

So add them both then divide by 2

So 14÷2

7

Hope this helps

Answer:

7

Step-by-step explanation:

which values are solutions to the inequality below, need explanation to better understand if it can be given.

Answers

Answer:

a b and d

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE HELP IMMA FAIL

Answers

(4+10)*6/2. If it’s the area then it’s this. Make sure you put the 4 and 10 in brackets

Find the volume of the cylinder

Answers

Answer:

Step-by-step explanation:

reposttttttt
Calculate the volume of a prism with a length of 7/8ft, width 2/3 ft and height 1/2 ft. BE SURE TO EXPLAIN ALL STEPS

Answers

Answer:

14/48 Feet

Step-by-step explanation:

First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.

The final answer is 14/48.


Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he needs to sell, x, to make at least $220 in one
week
Select all the inequalities that represent the situation


HELLPPPPP

Answers

Answer:

Steve needs to sell 34 items.

Step-by-step explanation:

S= 5x+50

220=5x+50

-50       -50

170= 5x

/5       /5

34 =  x

Check:

220= 5(34)+50

220=170+50

220=220

You deposit $2000 into an account earning 5% interest compounded quarterly. To the nearest dollar, what is the balance after 4 years?

Answers

Answer:

$1000

Step-by-step explanation:

Can someone help me with this question.

Answers

Answer:

C

Step-by-step explanation:

A function means that a graph cannot have repeating x values, so to test if something is a function we do the horizontal line test. You simply draw a vertical line and if the graph touches it twice it is not a function.

Jenny ran 4 4/5 miles on Saturday and 6 2/5 miles on sunday. How many miles should she run on monday if she wants her average run for the three days to be 5 miles

Answers

Answer:

3.8 miles

Step-by-step explanation:

Given data

Saturday= 4 4/5 miles= 24/5= 4.8 miles

Sunday= 6 2/5 miles = 32/5=6.4 miles

Monday=  x miles

Average= 5 miles

We know that

Average= Sum of data/Number of data

5= 4.8+6.4+x/3

cross multiply

5*3= 4.8+6.4+x

15= 11.2+x

x= 15-11.2

x=3.8 miles

QUESTION BELOW PLS HELP

Answers

its a no

...............................................................

Aiden and his sister saved 360 quarter altogether. Aiden saved twice as many quarters as his sister, If Aiden plans to put his quarter into 3 equal piles, how many quarters will he put in each pil.

Answers

Answer:

Aiden and his sister have 360 quarters together. If Aiden has twice as much as his sister, he has 180 quarters.

360/2 = 180

Aiden divides his quarters into 3 equal piles.

180/3 = 60

Aiden has 60 quarters in each of his 3 piles.

Does anyone understand this?

Answers

i think it’s 90.
11+ 11 +4 +4 = 30
30 * 3 =90

Answer:

88

Step-by-step explanation:

11*4 = 44

4*4 = 16

11-4 = 7

7*4 = 28

44+16+28 = 88

two more than a certain number is 15 less than the product of 7/8 and the number
equation

Answers

Answer:

The number is -136.

Step-by-step explanation:

Let the number be x, so we have the equation:

x + 2 = 7/8 x - 15

x - 7/8 x = -15 - 2

1/8 x = -17

x = -17 * 8 = -136.

In circle S with mZRST = 70 and RS = 10 units find area of sector RST. Round
to the nearest hundredth.
R
T

Answers

Answer:

61.11units squared

Step-by-step explanation:

area of sector is angle/360°πr2

70/360*22/7*10*10=61.11units squared

PLEASE HELP
Which of the following prime numbers is not a factor of the integer 330?
(1) 11
(3) 3
(2) 7
(4) 5

Answers

Answer:

3 not sure if you saw it Amazing the following statements best describes the role of yourself and God bless you and take care for you guys to paperwork

Answer:

its 7

Step-by-step explanation:

Please help !!!!!!!!!!! Will mark Brianliest !!!!!!!

Answers

Answer:

Try (-2,-4)

Step-by-step explanation:

Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction

Answers

Answer:

division

Step-by-step explanation:

you need to get the x by its self because right now x is being multiplied by 3 tou divide it out

Answer:

Division

Step-by-step explanation:

you will divide both sides by 3..the number that is disturbing x”

Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.

Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”

How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”

Answers

Answer:

How would Antonio respond....she would say "Thanks for the practice ".

Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.

okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9

Answer:

Rergvfgvf

Step-by-step explanation:

Find the measurement of Arc VW

Answers

Answer:

vw equals 48 or w equals 24 and v equals 24

Step-by-step explanation:

VW =48 for the measurement for the arc

Two similar polygons are shown below. Find the value of x and y.

Answers

Answer:

x = 18, y = 12

Step-by-step explanation:

Δ SRT and Δ VUT are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{SR}{VU}[/tex] = [tex]\frac{ST}{VT}[/tex] , substitute values

[tex]\frac{12}{4}[/tex] = [tex]\frac{x}{6}[/tex] ( cross- multiply )

4x = 72 ( divide both sides by 4 )

x = 18

From side ST

y + 6 = 18 ( subtract 6 from both sides )

y = 12

Find the area of a pizza with radius 4 inches.

Answers

Answer:

50.24

Step-by-step explanation:

4x4x3.14

(4 because of the radius)

(3.14 because of pi)

Examine the diagram.
are alternate interior
Angle 4 and angle
angles.
Z
3
7
Х
1 5
216
4
8

Help please!!!!!

Answers

Answer:

5

Step-by-step explanation:

When two lines are crossed by another line (the transversal), the pair of angles on  the opposite and inner side of each of those two lines are called Alternate Interior Angles.  Therefore 5 is the alternate interior angle to 4.

Answer:

5

I did the assignment

need po asap thank you

Answers

Answer:

1. 16, 19, 21

2. 81, 243, 729,

3. 25, 31

4. 20/24, 19/24

5. 37

Step-by-step explanation:

1. The numbers are going up by +3 ( 1 + 3 = 4,     4 + 3 = 7 etc..)

2. The numbers are being multiplied by 3 ( 3 x 3 = 9,      9 x 3 = 27 etc..)

3. Numbers are going up by +2

4. Numbers are decreasing by 1/24 ( 23/24 - 1/24 = 22/24 etc..)

5.

12 - 7 = 5

22 - 12 = 10 (5*2)

82 - 57 = 25 (5*5)

We can see a pattern here and the pattern is that the numbers are increasing according to the x5.

Hence 22 + (5*3) = 37

2/9 of the students in the school are in 6th grade.

a. How many 6th graders are there if the school has 90 students?

b. How many 6th graders are there if the school has 27 students?

c. How many 6th graders are there if the school has x students? Write an

Answers

Answer:

a. 20

b. 6

c. y=2/9x

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

It is True!

I hope this helps!

Write an equation that you can use to solve for x. Enter your answer in the box.​

Answers

Answer:

60 + x =100

Step-by-step explanation:

Since the angle with 100 degrees is opposite the angle combining 60 and x, they will have congruent measures.

factor 1/9 out of 1/9x+10/9

Answers

Answer:

11/9

Step-by-step explanation:

1/9(x + 10)

Because 1/9 x 10 = 10/9

What is the sum of (3x^2+ 5x +6) and (25x^3+ 10x² + 7x– 3)

Answers

Answer:

25x³ + 13x² + 12x + 3

Step-by-step explanation:

(3x²+ 5x +6) + (25x³ + 10x² + 7x– 3)

3x²+ 5x + 6 + 25x³+ 10x² + 7x – 3

25x³ + 3x² + 10x² + 5x + 7x + 6 - 3

25x³ + 13x² + 12x + 3

(Part A)Find the area of the circle with a radius of 4m.
(Part B)Find the circumference of the circle with a radius of 4 m.

Answers

Step-by-step explanation:

Part A)

Area of Circle =

[tex]\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi {m}^{2} [/tex]

Part B)

Circumference of Circle =

[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: m[/tex]

Answer:

Part A: 16π m²

Part B: 8π m

Step-by-step explanation:

Part A

[tex]A=\pi r^2[/tex] where r is the radius

Plug in 4 as the radius

[tex]A=\pi (4)^2\\A=\pi(16)\\A=16\pi[/tex]

Therefore, the area of the circle is 16π m².

Part B

[tex]C=2\pi r[/tex] where r is the radius

Plug in 4 as the radius

[tex]C=2\pi (4)\\C=8\pi[/tex]

Therefore, the circumference of the circle is 8π m.

I hope this helps!

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