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
Harman [31]
8 months ago
12

To mix plaster for a dental model, 35 mL of water is used for 100g of plaster. How many mL of water should be used for 250g of p

laster? Round your final answer to 1 decimal place if necessary.
Mathematics
1 answer:
laila [671]8 months ago
3 0

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:

\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}

Solving for x:

\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}

Finally we obtain that 87.5mL of water should be used for 250g of plaster.

You might be interested in
Yan buys tickets to a concert for himself and a friend there is tax of 6% on the price of the tickets and an additional booking
lyudmila [28]
X = price of the tickets (without tax)

1.06x + 20 <== ur expression
4 0
3 years ago
A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

2=\frac{1+x_{2} }{2}\\  4=1+x_{2}\\  4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0
2 years ago
A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to
trapecia [35]

Answer: 5 branches and 16 birds.

Step-by-step explanation:

If the number of birds is B, and the number of branches is N.

First we have the equation:

B = 3*N + 1

(3 birds per branch + 1 that was flying around)

for the second equation we have:

B = 4*(N - 1)

(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)

now we can write:

3*N + 1 = 4*(N - 1)

3*N + 1 = 4*N - 4

4 + 1 = 4*N - 3*N

5 = N

So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

B = 3*N + 1 = 3*5 + 1 = 16

6 0
2 years ago
Read 2 more answers
The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
Vitek1552 [10]
The mode of the values listed is 9.
3 0
2 years ago
The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?
siniylev [52]

Answer:

The radius of the cylinder is 7 in

Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

v = volume  = 980π in³

h = height = 20in

π = pi

r = radius

v = (π * r²) * h

we replace with the known values

980π in³  = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

√(49 in²) = r

7 in = r

The radius of the cylinder is 7 in

7 0
3 years ago
Other questions:
  • The legs of an isosceles triangle have lengths x+1 and -x+7 . The base has length 3x-3. What is the length of the base?
    7·1 answer
  • PLEASEEEE answer!!!! NEED THIS TO GRADUATE
    11·1 answer
  • What is .375 as a fraction
    12·2 answers
  • A diver ascended 9/10 of a meter in 1/10 of a minute. What was the diver r<br> ate of ascent
    15·1 answer
  • Lydia is painting flower vases. Each vase takes 3⁄16 of a quart of paint. She has 2 1⁄2 quarts of paint. How many flower vases c
    5·1 answer
  • Analyze the given parts. State if the given information would create a unique triangle, multiple triangles, or no triangle. (You
    11·1 answer
  • On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant mus
    8·1 answer
  • 6th grade math help me plzzzz
    11·1 answer
  • Find equations of two lines that cross at the point (2,7) &amp; explain how you got the answer
    5·1 answer
  • A linear function forms a line. true or false​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!