The ratio of yellow sweets to purple sweets is 5:4.

Alice eats 3 purple sweets and the ratio is now 5:3.

Work out how many sweets there were at the beginning.

Answers

Answer 1

Answer:

27

Step-by-step explanation:

The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )

After Alice eats 3 purple sweets, then ratio is

5 : 3 = 5x : 4x - 3

Express the ratio in fractional form, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )

5(4x - 3) = 15x

20x - 15 = 15x ( subtract 15x from both sides )

5x - 15 = 0 ( add 15 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Then

number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27


Related Questions

Write the equation of a parabola in factored form if the x-intercepts are (3,0) and (-5,0) with a maximum point at ( -1,8)

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] (x - 3)(x + 5)

Step-by-step explanation:

Given the x- intercepts are x = 3 and x = - 5 then the corresponding factors are

(x - 3) and (x + 5)

The equation is the the product of the factors, that is

y = a(x - 3)(x + 5)  ← a is a multiplier

To find a substitute (- 1, 8) into the equation

8 = a(- 1 - 3)(- 1 + 5) = a(- 4)(4) = - 16a ( divide both sides by - 16 )

- [tex]\frac{1}{2}[/tex] = a

Then

y = - [tex]\frac{1}{2}[/tex] (x - 3)(x + 5) ← in factored form

Quadrilateral RUST has a vertex at R(3,5).
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x, y + 3)?

Answers

Answer:B

Step-by-step explanation:AP3X

Lets see if you practiced your division..5,316/3= .Use any place value strategy to divide

Answers

1,787 is the correct answer

The line graph shows the amount of snowfall over a 6 hour period.
Between which hours did the least amount of snow fall?
Total Amount of Snow
1411

12
10
Amount of snow (in inches)
Hours
1
2
3
4
5
6
The least amount of snow fell between hours
and

Answers

Answer:

12 :)

Step-by-step explanation:

np

Answer:

12 :0

Step-by-step explanation:

Ben's Game World is having a sale on video games. The store is offering a sale pack of 4 video games for $43.80. What is the unit price of a video game in the sale pack?

Answers

Answer:

Answer:

a) 10.95

b) 76.65

Step-by-step explanation:

To find the unit price of Ben's video games, divide 43.80 by 4, which is equal to 10.95. So, the unit price is 10.95 at Ben's Game World.

Then, using the unit price we found earlier, multiply 10.95 by 7, which will gives us the cost of 7 games at Roberto's Electronics. You'll get 76.65. So, the cost of 7 games at Roberto's Electronics, using the same unit price at Ben's Game World, would be 76.65.

Hope this helps :)

Can someone help me, please I need help with this thing

Answers

Answer:

9

Step-by-step explanation:

if LA = AK then the triangle is isosceles

if the two triangles are similar then we can use this proportion to find LA:

8/12 = 6/LA

cross-multiply:

8·LA = 72

LA = 9

Evaluate the following with each given number.

f(x)=7x−x2+2

Answers

This the answer. X=-2/5

What do you need to do to solve the problem?
3 = -x/5
O Multiply each side by 5
O Multiply each side by - 5
O Multiply each side by 1/5
O Multiply each side by -1/5

Answers

2nd option , multiply each side by -5

Answer:

multiply each side by -5

8th grade math, please help.

Answers

Answer:

∠x = 16°

Step-by-step explanation:

∠x = 180° - (180° - 16°) = 16°

Answer:

16° because alternative exterior angles are equal

PLS HELP

How many solutions does this system of equations have?
y= -6x-7
y=-6x-7

Answers

Answer:

They can have infineyely many solutions :)

Barnes and Noble pays a publisher $1.50 for a magazine. The magazine is marked-up 12%. Find the new SELLING PRICE of the magazine.

Answers

Answer: The selling price will be $1.68  

Step-by-step explanation:

If the magazine is marked-up by 12% , then you will multiply 12% by the amount of money then add it to the same amount of money.

1.50 * 12% = 0.18

1.50 + 0.18 = 1.68

HELP I NEED HELP ASAP

Answers

Answer:

I think its D

Step-by-step explanation:

You can rule out A and B because he would be able to throw it farther than 30 ft do that leaves C and D but davis Couldn't throw a 9.1 lb ball 30 ft so the answer is D

hamid has gain weight he now weighs 88kg

Answers

Answer: what’s the question?

Step-by-step explanation:

Malala is following this recipe for bread rolls.
She uses 200 g of flour.
How much of each of the other ingredients does she use?

Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water

Answers

Answer:

She will use:

4g salt

3.2g yeast

12 ml oil

140 ml water

Step-by-step explanation:

Since 200 is 40% of 500 we calculate 40% of all the other ingredients and you get your answer

At the football game, 3 hamburgers and 6 soft drinks cost $27, and 3 hamburgers and 3 soft drinks cost $18. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?

Let x represent the cost of a hamburger and y represent the cost of a soft drink.

Answers

Answer:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x4x

And the cost of 6 soft drinks  can be represented with this expression:

6y6y

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

4x+6y=344x+6y=34   [Equation 1]

 The following expression represents the the cost of 3 soft drinks:

3y3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=254x+3y=25 [Equation 2]

Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink

Answer:

3x + 6y = 27

3x + 3y = 18

x = $3, y = $3

Step-by-step explanation:

I will solve by using the elimination method.

3x + 6y = 27

3x + 3y = 18

Subtract top equation by bottom.

3x + 6y = 27

- (3x + 3y = 18)

_____________

  0 +  3y  =  9

3y = 9

y = 3

Plug y in for three

3x + 6*3 = 27

3x + 18 = 27

3x = 9

x = 3

So, your solution is x = $3, y = $3


What's the greatest ten you can multiply by 8 to get close to, but not go over 629

Answers

Answer:

i guss 8× 77 = 524 which is close to it

Answer: 8 x 70 = 560

Find the slope of the line containing the points (2,-4) and (5,3)

Answers

Answer:

m = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-4))/(5-2)

m=(3+4)/3

m=7/3

Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

XT and XW

Step-by-step explanation:

They are indicated congruent by the congruency marks on each.

PLEASE SHOW WORK ILL GIVE BRAINLIEST

Answers

Answer:

[tex]\frac{9}{20}[/tex] [tex]miles^{2}[/tex]

Step-by-step explanation:

To find the area of a rectangle, use the formula A = l*w, where l is the length and w is the width.

A = [tex]\frac{9}{10}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{9}{20}[/tex] [tex]miles^{2}[/tex]

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 25 books and each large box can hold 50 books. There were 3 more large boxes sent than small boxes, which altogether can hold 450 books. Determine the number of small boxes sent and the number of large boxes sent.
There were ____ small boxes sent and ____ large boxes sent.

Answers

Answer:

there were 4 small boxes sent and 7 large boxes sent

Step-by-step explanation:

let s= number of small boxes

let y= number of small boxes

each small box can hold 25 books, so s small boxes can hold 25s books. Each large box can hold 50 books, so l large boxes can hold 50lbooks. Therefore, the total number of books 25s+50l equals 450.

Since there were 3 more large boxes sent than small boxes, if we add 3 to the number of small boxes, we will get the number of large boxes, meaning l equals s+3.

system of equations:

25s+50l=450

l=s+3

substitute values

please help thank you

Answers

Answer:-

x = -3
y= 2.5
P(x,y) = P(-3, 2.5)

Hope it helps!!

G
H
2.5(JK)
12
к
L
F
What is HL?

Answers

Answer:  21

=================================================================

Work Shown:

The diagram shows that JK = 12 and GF = 2.5*(JK) = 2.5*12 = 30

The midsegment HL will be the average of the two lengths it is parallel to.

We'll add up the values and then cut the result in half

HL = (JK+GF)/2

HL = (12+30)/2

HL = 42/2

HL = 21

Here is a list or numbers. 6,7,2,4,6,6,9,5,3,3
Work out the medium
Work out the mean

Answers

Answer:

The medium - 6,6

The mean - 5.1 or 5

Step-by-step explanation:

The medium is the middle number(s)

The mean is when you average the numbers (adding them all up then dividing by how many numbers there are).

Answer: before u do all of this put the number in smallest to biggest the mean is u add all the number then when u get the answer u divide the number by how many numbers are there so 2 + 3+3+4+5+6+6+6+7+9= 51 now 15 divided by 10 =5.1 that is the mean

Now the medium is u put the number in smallest to biggest again 2334566679 now u have to find the numbers that are the same so u see how there is two 3's and three 6's in the numbers right so u have to look very carefully u could put 3 has the answer put that is not the answer because there is only two 3's and there is three 6's so which is bigger two 3's or three 6's three 6's is bigger so that is the answer.

Hoped it helped don't forget to drop a heart  !!!

Step-by-step explanation:

Match the following expression 12(x-3)+18=4(3x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?

Answers

12(x-3)+18=4(3x-3)

Distribute.

12x-36+18=12x-12

Add like terms.

12x-18=12x-12

Add 12 to both sides.

12x-6=12x

Subtract 12x from both sides.

-6=0
?

NO SOLUTION

Answer:

No Solution.

Step-by-step explanation:

12(x-3)+18=4(3x-3)

12x-36+18=12x-12

12x-12x-18=-12

-18=-12

no solution

Hydrate sports drink calls for 7 scoops for every gallon of water. Sarah thinks the drink is too weak, and she wants to change it. Describe how she can change either the number of scoops or the amount of water to make the drink stronger.

Answers

She can change her drink by increasing the amount of both the water and the powder because if she added powder only the water won’t be able to take more then it’s meant to so if u increase water u can increase the amount of water. Hope this answer helps u :)

How do I do this? Cause I don’t know how. Also please show work. Don’t only say the answer. Whoever shows the work and answer gets a thanks and a brainliest.

Answers

Total sq units of dotted rectangle = 3*5=15sq units

Shaded area= 15-(3*4*1/2+2*5*1/2)

=15-(6+5)

= 15-11

= 4 sq units

What is the percent saved on a pair of sun glasses with a regular price of $15.95 which are on sale for $13.56?

Answers

Answer:

15%

Step-by-step explanation:

15% of 15.95 is 2.39, which if we subtract from 15.95 we get 13.56

Could I please have Brainliest? Hope this helps! :)

Answer:

100%->15.95

1%->0.1595

15.95-13.56= 2.39

2.39÷0.1595

≈ 14.98% (corrected to 2 decimal places)

help!! :( what is the equation for this circle using the center and radius?

Answers

Answer:

Well Circumference = πr^2, but I don't know what you're asking for?

Help me please I need to get a perfect score.

Answers

Answer: 5r-5s

Step-by-step explanation:

Hope this helps :)

What is the slope of the line

Answers

Slope = 1/2

Hope this helps! Have a great day :)
Yeah, it’s 1/2, you go up 1 and right 2 because the line touches the center of the intersecting lines
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