1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir2022 [97]
2 years ago
10

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

Mathematics
1 answer:
pickupchik [31]2 years ago
5 0

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

\frac{5}{3} = \frac{5x}{4x-3} ( 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

You might be interested in
Number one on wednesdsay <br>90&gt;-9(w+3)
gtnhenbr [62]
-13<w because 9*w and 9*3 = 90>-9w-27   then add 27 and get 117>-9w then divide and get -13<w
4 0
3 years ago
The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perim
luda_lava [24]

Answer:

<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3><h3 />

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

l = 5 + 3w

Now substitute this into the above equation

Perimeter = 74 inches

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 74 - 10

8w = 64

Divide both sides by 8

w = 8 inches

Substitute w = 8 into l = 5 + 3w

That's

l = 5 + 3(8)

l = 5 + 24

l = 29 inches

<h3>Length = 29 inches</h3><h3>Width = 8 inches</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
Help again &lt;3 ty i will very much appreciate it
krok68 [10]

Answer:

5√3 is the simplified radical expression.

3 0
3 years ago
The area of a square poster is 28 square inches. find the length of one side of the poster to the nearest tenth of an inch.
Romashka [77]
The answer is:  " 5.3 in. " .
_________________________________________________
Note:
_________________________________________________
√(28 in²) =  (√28) in  = 5.2915026221291812  in  =  5.3 in.
_________________________________________________
5 0
3 years ago
Which is the quotient of 11/12 divide by 5/7
Phantasy [73]
11/12 divided by 5/7 should be 0.02619047619 you can double check it though
3 0
3 years ago
Other questions:
  • An automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.
    12·1 answer
  • Greta is opening a savings account. She starts with $100 and plans to add $59 each week. Write an equation she can use to calcul
    12·1 answer
  • The ____ of the complex number z=r(cos theta + i sin theta) is the angle of theta.
    11·2 answers
  • How many 0.4 liter glasses of water are contained in a 5.2 - liter pitcher? How do you find it out step by step?
    13·1 answer
  • Find the equation of the line containing the points (0,3) and (1,8)
    9·1 answer
  • DUE NOW!!!
    11·1 answer
  • Which of these equations share the same solution?<br> A) 4=4 <br> B) 3−=16<br> C) 2+=12<br> D) 2= 2
    9·1 answer
  • Lol help now files just type it
    10·2 answers
  • Which graph represents the same relation as the table below?
    14·1 answer
  • Is fast please help me is a exam
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!