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
Illusion [34]
3 years ago
15

London mixes 6 parts yellow paint with 3 parts blue paint to make green. She adds 1 more part of yelow to change the

Mathematics
1 answer:
Stella [2.4K]3 years ago
7 0

Answer:

The new ratio is \frac{7}{3} ⇒ (D)

Step-by-step explanation:

<em>The given information is</em>

  • 6 parts of yellow paint with 3 parts of blue paints to make green paint
  • The yellow paint adds by 1 part

We need to find the ratio of yellow to blue

<em>Let us find the correct answer</em>

∵ The yellow = 6 parts

∵ The yellow adds by 1 part

∴ The yellow = 6 parts + 1 parts = 7 parts

∵ The blue = 3 parts

∵ The ratio of yellow to blue = \frac{yellow}{blue}

∴ The ratio of yellow to blue = \frac{7}{3}

The new ratio is  \frac{7}{3}

You might be interested in
There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

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

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
1 year ago
SOLVING EACH SYSTEM BY ELIMINATION <br><br><br> x+3y=5 x=-6y+14<br><br><br> HELP
nata0808 [166]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=-4,\:y=3

Step-by-step explanation:

Given the system of the equations

x+3y=5;\:x=-6y+14

solving by elimination method

\begin{bmatrix}x+3y=5\\ x=-6y+14\end{bmatrix}

\mathrm{Arrange\:equation\:variables\:for\:elimination}

\begin{bmatrix}x+3y=5\\ x+6y=14\end{bmatrix}

x+6y=14

-

\underline{x+3y=5}

3y=9

\begin{bmatrix}x+3y=5\\ 3y=9\end{bmatrix}

solve 3y=9 for y:

3y=9

\frac{3y}{3}=\frac{9}{3}

y=3

\mathrm{For\:}x+3y=5\mathrm{\:plug\:in\:}y=3

Solve x+3\cdot \:3=5 for x:

x+3\cdot \:3=5

x+9=5

x=-4

Therefore,

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=-4,\:y=3

6 0
3 years ago
Can you guys please ask questions for a Q and A on yt
Ksju [112]
How do you solve this

8 0
3 years ago
Read 2 more answers
The H.C.F and the LCM of two numbers are 36 and 720 respectively. If one of the numbers is 180, which is the other number. *
lutik1710 [3]

Answer:

let p(x)=180

LCM=720

HCF=36

WE HAVE TO FIND q(x)=?

as we know that

p(x)×q(x)=LCM×HCF

NOW WE HAVE TO FIND q(x)

q(x)=LCM×HCF/p(x)

q(x)=720×36/180

q(x)=25920/180

q(x)=144

i hope this will help you

8 0
3 years ago
Read 2 more answers
Simplify i12<br><br> A.-1<br> B.-i <br> C.i <br> D.1
yuradex [85]

Answer:

D 1

Step-by-step explanation:

i^12

We know i^4 = 1

Rewriting

i^4^3

1^3

1

7 0
2 years ago
Other questions:
  • A rectangular locker is 1 4/5feet long, 1 4/5 feet wide, and 1 foot tall.The locker has a capacity of BLANK
    11·1 answer
  • Plllzzzzz help me asap please asap asap asap please pretty please !!!!!!!!!!!!
    12·1 answer
  • Which of these is a complex number?
    12·1 answer
  • Find 6% of $5.65 and round the product to the nearest cent.
    8·1 answer
  • What's 7 times 11 in joke
    5·2 answers
  • 16 ÷ 8 = 2
    13·2 answers
  • Plz help ibzcbiscibscibaciv​
    9·1 answer
  • Whats (x + 3) - (5x - 4)
    7·2 answers
  • Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by
    14·2 answers
  • Let m=4 and n=36. What is the value of m+.9?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!