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
Anarel [89]
3 years ago
8

How many mL of 75% alcohol should be mixed with 10% of 1000 cc alcohol to prepare 30% of 500 mL alcohol solution? a. 346.16 mL b

. 234.43 mL c. 153.84 mL d. 121.12 mL e.
Mathematics
1 answer:
g100num [7]3 years ago
7 0

Answer:

C. 153.84 mL

Step-by-step explanation:

Let's say x is the volume of 75% solution and y is the volume of 10% solution.

Sum of the volumes:

x + y = 500

Sum of the alcohol amounts:

0.75x + 0.10y = 0.30(500)

0.75x + 0.10y = 150

Solve the system of equations using either substitution or elimination.  I'll use substitution.

y = 500 - x

0.75x + 0.10 (500 - x) = 150

0.75x + 50 - 0.10x = 150

0.65x = 100

x = 153.84

You need 153.84 mL of 75% solution.

You might be interested in
Rapunzal travels 27 miles per hour. How long does it take her to travel 3 miles. Nearest tenth
shtirl [24]

Answer:

6.4 minutes or 384 seconds

6 0
2 years ago
Write an equation of a line with slope -1 that contains point P(2,-4)
Maurinko [17]

Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

5 0
4 years ago
(q^2)^y=q^6 find the value of y
jonny [76]

Answer:

y = 3

Step-by-step explanation:

(  {q}^{2} )^{y}  =  {q}^{6}  \\  {q}^{2y}   =  {q}^{6} \\ 2y = 6 \\ y =  \frac{6}{2}  \\ \huge \red{ \boxed{  y = 3}}

3 0
3 years ago
LOTS OF POINTS!?!?!?Write a linear function f with the values f(5)=−1 and f(0)=−1.<br> f(x)=
Brut [27]

Answer:

The euation of the linear function is:

  • y = -1

Step-by-step explanation:

As the function has the values

  • at x = 5, f(5) = -1
  • at x = 0, f(0) = -1

Thus, the two points are:

  • (5, -1)
  • (0, -1)

Finding the slope between (5, -1) and (0, -1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)

m=\frac{-1-\left(-1\right)}{0-5}

m=0

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

  • y = -1
4 0
3 years ago
A circle with the equation (x + 3)2 + (y - 2)2 = 25 is reflected over the line x = 2.
Elza [17]
So the circle has and equation of (x+3)2+(y-2)2=25 and its reflected over the line of two. So first in your problem is to simplify the function which could represent the y=mx+b. So it goes like this:
2x+6+2y-4=25
-2y=-2x-6+25
y=-2x-6+25/-2
y=x-25/2

so it means the answer would be in this kind of formula and i hope you can solve it cause im confused also so here is the formula:
(x-h)2-(y-k)2=25


7 0
3 years ago
Other questions:
  • Is 1 1/2 greater or less then 1 11/20
    10·2 answers
  • Any one know the answers this has to be turned in tomorrow
    13·1 answer
  • Mary spent a total of $321.04 for a party. She spent $200.84 on food, plus an additional $30.05 for each hour of the party. How
    14·1 answer
  • Which statement about these two triangles is true
    7·2 answers
  • A-12 10
    12·2 answers
  • Find the missing values in each column.
    5·1 answer
  • What is the mean of the following numbers? 10,39,71,39,76,38,25<br><br>​
    7·1 answer
  • The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale give
    15·1 answer
  • In the diagram below M is the midpoint of KL find the length ML<br>​
    6·1 answer
  • Which function has a vertex at the origin?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!