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

percents and numbers​

Answers

Answer:

16

Step-by-step explanation:

11111111111111111111111

Answers

Answer:

1) Zero based on (-16·t - 2) is t = -1/8 second

2) Zero based on (t - 1) is t = 1 second

Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

The sum of 6 and y is greater than – 16.

Answers

Answer: 6+y < -16

Step-by-step explanation:

the weight w of a steel frame is 9.2kg correct to 1 decimal place. complete the error interval for weight w

Answers

Answer:

9.5_<w<9.25

Step-by-step explanation:

What is the length of the hypotenuse to the nearest hundredth place in the diagram below

Answers

Answer:

Hypotenuse (x) = 7.27

Step-by-step explanation:

cos57*=4cm/x

cos57*/cos57*=4/cos57*

x=4/cos57*

cos57*~.55

x=4/.55

x=7.27

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

What is 5944.1 to the nearest 10

Answers

Answer:

if you mean to the tens place, then its 5,940

Step-by-step explanation:

Answer:

5940

Step-by-step explanation:

Turning off the water while brushing your Teeth saves 350 centilliters of water. How many liters of water can you save if you turn off the water the next 3 times you brush your teeth? (Round your answer to the nearest hundredth)

Answers

Answer:

1.1l

Step-by-step explanation:

350×3=1050cl

=1.05l

rounded to nearest hundredth=1.1l

What are the coordinates of A(8,-1) after a rotation of 180° about the origin

Answers

The coordinates of A(8,-1) after the rotation of 180 degrees Is A’(-8,1)

evaluate f(.25) if f(x) = [[2x-1]]

Answers

Answer:

(-.5)

Step-by-step explanation:

Mr Tan monthly salary is $2999.52. In order to fill up a membership application form, mr Tan has yo roping off his monthly salary to the nearest dollar. What should he write on the application form for his monthly salary?

Answers

Answer:

three thousand dollars

Step-by-step explanation:

you round up to 3000

Please help me need ASAP

Answers

Answer:

3)Quadratic

Step-by-step explanation:

Brainliest?

$77 at 16% for 6 months


What is the difference between the total amount in the account if you did simple and compound interest?

Answers

Answer:

$0.231

Step-by-step explanation:

Given data

P= $77

r= 16%

t= 6 months= 0.5 years

For simple interest

A= P(1+rt)

A=77(1+0.16*0.5)

A= 77(1+0.08)

A= 77*1.08

A= $83.16

For compound interest

A=P(1+r)^t

A= 77(1+0.16)^0.5

A= 77(1.16)^0.5

A= 77*1.077

A= $82.929

The difference is

=83.16- 82.929

=$0.231

HELP ASAPPPP USE THE PHOTOOOOO MARKING BRAINLIEST

Answers

the correct answer is A. you just substitute the t value in to get the second number
A is correct.

(-3)(-3) - 3 = 9-3 = 6

I can do the others, but A is the only one with that first answer correct

Help with math work please I am bad at math the question is on the image!!

Answers

In my knowledge

2 × 8 + 5 = 21

Hope it helps ;)

For the first square it’s gonna be 2 so 2 x 8 is 16 so now you put 5 next because 2 x 8 is 16 and plus 6 equals 21

In the figure below, mZ1 =(x+44) and mZ2=3xº.
Find the angle measures.

Answers

Answer:

where is the diagram? please provide the diagram.

1. Jared has portrait in shape of a square. One side length, in inches, is the sum of 7 and L

Jamilah also has a portrait in shape of a square. The length of one side is 3 inches longer

than one side of Jared's portrait. What is one side length of Jamilah's portrait?

Answers

Answer:

7 + L + 3 = L + 10

Step-by-step explanation:

need help on question 14 here, if multiple people respond i will give the first responder brainiest

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

5x - 3 = 6y

5x + 3 = 9y

y = 5/6 x - 1/2

5x + 3 = 15/2 x - 9/2

-5/2 x + 15/2 = 0

-5/2 (x - 3) = 0

x = 3

Answer:

x = 3

y = 2

Step-by-step explanation:

because it's a rectangle, opposite sides are equal

AD = BC

AB = DC

so we can use their measures to create a system of equations:

5x + 3 = 9y

5x - 3 = 6y

if we multiply the first equation by -1 we can eliminate the x-values:

-(5x + 3 = 9y)

 -5x - 3 = -9y

+ 5x - 3 = 6y

        -6 = -3y

         y = 2

If y = 2 then BC = 12 and we can set up this equation:

12 = 5x - 3

15 = 5x

3 = x

Please help me with trigonometry and law of sines I’m being timed and really need the help

Answers

Step-by-step explanation:

cosA = AC² + BC²- AB² / 2 • AC • BC

cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9

a) 25.8
b) 36.8
c) 64.2
d) 42.0​

Answers

Answer:

y = 25.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos y = adjacent/ hypotenuse

cos y = 18/20

Take the inverse cos of each side

cos ^-1 (cos y) = cos^-1(18/20)

y =25.84193276

Rounding to the nearest tenth

y = 25.8

Selvi deposited RM8 000 in a fixed deposit
account with a simple interest of 3.5% per annum
for a term of a year. Calculate the amount of
Selvi's money at the end of the term.​

Answers

Step-by-step explanation:

Hope it helped

Pls mark BRAINLIEST

pls help me !! will mark brainliest... i just need you to solve for m<1 and m<7 !! thanks !!

Answers

Step-by-step explanation:

=( n-2)180

= ( 4 - 2 )180

= 360

So, 144 + 90 + m<2 +m<1 = 360

144 + 90 + 85 + m<1 = 360

319 + m<1 = 360

m<1 = 360 - 319

m<1 = 41

their is an unknown angle so let's call it x

let's find x first ( m<6=49)

x + m<6 = 180

x + 49 = 180

x = 180 - 49

x = 131

Now let's find m<7

m<7 + 38 + m<4 + x = 360

m<7 + 38 + 85 + 131 = 360

m<7 + 254 = 360

m<7 = 360 - 254

m< 7 = 106

which expressions are equivalent to 2 to the 6th power choose all that apply. please help

Answers

Answer:

2 * 2 * 2 * 2 * 2 * 2

4 * 16

8 * 8

Step-by-step explanation:

Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.

What is power?

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be written as,

2⁶ = 2 × 2 × 2 × 2 × 2 × 2

   = 4 × 16

   = 8 × 8

Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.

Learn more about Power here:

https://brainly.com/question/23432317

#SPJ2

A line that includes the point (6,-4) has a slope of -1/2 what’s the equation in slope intercept form

Answers

Answer:

The equation in the slope-intercept form will be:

[tex]\:y=-\frac{x}{2}-1[/tex]

Step-by-step explanation:

Given

Point (6, -4)Slope m = -1/2

Important Tip:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

[tex]m[/tex] represents the slope[tex]b[/tex] is the y-intercept

In our case,

(x, y) = (6, -4)m = -1/2

Step 1 of 2

Determine the y-intercept b

substitute m = -1/2 and (x, y) = (6, -4) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]-4\:=-\:\frac{1}{2}\left(6\right)+b[/tex]

switch sides

[tex]-\frac{1}{2}\left(6\right)+b=-4[/tex]

[tex]-3+b=-4[/tex]

Add 3 to both sides

[tex]-3+b+3=-4+3[/tex]

simplify

[tex]b=-1[/tex]

Thus, the y-intercept b = -1

Step 2 of 2

substitute the values

substitute b = -1 and m = 1/2 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

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

[tex]\:y=-\frac{x}{2}-1[/tex]

Conclusion:

Therefore, the equation in the slope-intercept form will be:

[tex]\:y=-\frac{x}{2}-1[/tex]

The graph of the line equation is also attached.

Can someone help me solve this (solution must contain a point (x,y).

Answers

Answer:(6,2)

Step-by-step explanation:

Photomath

Answer:

x=6

y=2

(x,y)=(6,2)

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

Given the measure of two of the angles, find the measure of the 3rd

Answers

Answer:

Measure of 3rd angle is 80 degrees

angle SAX - angle PAX = measure of 3rd angle (SAP)

hence 141 - 61 = 80 degrees

hence measure of 3rd angle is 80 degrees

GOOD LUCK FOR THE FUTURE! :)

Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?​

Answers

Answer:

64

Step-by-step explanation:

you divide 256 four times

i need help i don understand i got b but it said it was wrong .

Answers

Answer:

b is 135 and c is 45.................thanks

Answer:

[tex]b=135\\c=45[/tex]

Step-by-step explanation:

The angle that measures 135 degrees and angle b are opposite angles. Opposite angles are congruent. Therefore, angle b=135.

[tex]b=135[/tex]

A straight line has an angle measure of 180 degrees. This means that 135+c would equal 180 degrees.

[tex]135+c=180[/tex]

Subtract both sides by 135

[tex]135+c-135=180-135\\c=45[/tex]

I hope this helps!

Graph the line with the equation y= - 1/3 x -4?

Answers

Use desmo.com

its really helpful

Justin is starting his own laundry business. Justin thinks he will do a better job than his competitors, so he thinks he can charge $15.16 per hour. If he knows he will only be able to work 50 hours per week, how much money will he earn each week?

Answers

Answer:

$758 per week

Step-by-step explanation:

15.16 x 50 = 758

Answer:$758 per week

Step-by-step explanation:Answer:15.16 x 50 = 758

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