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
arsen [322]
1 year ago
9

fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3

viles of each colorI have 496 cups of paint to fillratio of powder to paint is one part powder to five part paint I know that 3 vials of powder which is 60g= 0.2536 cups. & .2536 cups ×5 parts paint= 1.268 cups of mixture. I got this from theBecks on hereknowing this how many sets of powder do I need to buy in order to us all my paint?
Mathematics
1 answer:
Anna007 [38]1 year ago
7 0

First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have

\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}

We write this as a ratio

\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}

for the 496 cups of paint you will need 99.2 cups of powder.

Continue by seeing how may grams there are in 99.2 cups

\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}

write it as a ratio and solve for x again.

\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}

now find how many vials you will need

\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}

write the ratio and solve

\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}

If each sets comes with 12 sets, write the ratio and find the number of sets you will need

\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}

you will need 98 sets for this amount of paint.

You might be interested in
Mulder and Scully are driving to the same town. Mulder leaves the office at 9​:30a.m. averaging 57mph. Scully leaves at 10​:00​a
koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9​:30a.m. averaging 57mph.

Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

\frac{57}{2}= 28.5 miles

Let t is the time taken by Scully to catch up with​ Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

28.5+57t=60t

28.5=60t-57t

28.5=3t\\t=9.5

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

6 0
3 years ago
What are the values of x and y
NeTakaya

Answer:

x = 16

y = 131

Step-by-step explanation:

4x + 2x - 6 = 90

6x = 96

x = 16

16 + 33 + y = 180

49 + y = 180

y = 131

7 0
3 years ago
8.7 × 10 to the 5th power in standard form
Andrej [43]
Answer would be 870000
6 0
3 years ago
Read 2 more answers
Solve 5c + 4 = -26
mr_godi [17]
<em>1) 5 c + 4 = - 26
5 c = -26 -4
5 c = -30
c = -30 / 5
c = -6    so correct option is B..

2) 3 x - x +2 = 12
2 x +2 = 12
2x = 12-2
2x = 10
x = 10/2
x= 5    so correct option is D

3 ) 3 ( x + 1 )+ 6 = 33
3x + 3 + 6 = 33
3x + 9 = 33
3x = 33-9
3x = 24
x = 24/3
x = 8   so correct option is B

4) y/-6=9
y=9 x -6
y= - 54   there is no such option i guess question is missing

5)(x +  4) /2 = 7
x +4 = 7 x 2
x + 4 = 14
x = 14-4
x = 10  so correct option is D

6)1/3 ( 2x - 8) = 4
2x/ 3 - 8 /3 = 4
2x - 8 / 3 = 4
2x - 8 = 4 x 3
2x - 8 = 12
2x = 12 + 8
2x = 20
x = 20/2
x = 10   so correct option is C


</em>
6 0
3 years ago
If a candy machine contains 76 green candies, 42 orange candies, 58 red
sergiy2304 [10]

Answer:

P(candy chosen is red) = 58/200

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Andre is making paper cranes to decorate for a party. He plans to make one large papercrane for a centerpiece and several smalle
    10·1 answer
  • Add or subtract as indicated
    10·1 answer
  • The axis of symmetry for a function in the form f(x) = x^2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the gra
    8·2 answers
  • given a system of equations, list three ways that we can write new equations that can be used to create equivalent systems
    13·1 answer
  • What is the answer to this question?
    13·1 answer
  • Tina wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 7/12 m by 3 /14 m. Find the area the gras
    6·1 answer
  • Please help me ?!!!!!
    14·1 answer
  • Does the image reflect over the x or y axis ?
    15·1 answer
  • What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!
    11·1 answer
  • Please help me I've been stuck on this since the morning. I keep texting my friend to help me but she won't answer me she just l
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!