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
Marrrta [24]
3 years ago
9

The volume of

Mathematics
1 answer:
o-na [289]3 years ago
4 0
By proportion.  First write down the given information systematically:

[1000] drops of liquid equals (1 fl. oz.)
(100) drops of liquid equals ? oz

For problems that are directly proportional, we cross multiply the numbers in the bottom left and top right (in parentheses), divide by the number across ( in square brackets) from the unknown, namely:

Answer: 
100 drops * 1 fl. oz / (1000 drops) = (100/1000)* 1 fl. oz = 0.1 fl. oz.
You might be interested in
What is 100 to the 3rd power?
AleksAgata [21]
100 * 100 = 10,000.
10,000 * 100 = 1,000,000

100^3 = 1,000,000.
4 0
3 years ago
R+b=7 <br> 3.75r+2.75b=22.25
stiv31 [10]

Answer:

Step-by-step explanation:

hello :

r+b=7... (*)

3.75r+2.75b=22.25.... (**)

use (*) :  r = 7 - b

put this value in (**) :

3.75(7 - b)+2.75b =  22.25

26.25 -375b +2.75b = 22.5

-375b +2.75b = 22.5 - 26.25

- b = -3.75

so : b  = 3.75

but : r = 7 - b

r = 7 - 3.75

r = 3.25

6 0
3 years ago
A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers
icang [17]

Answer:

\huge\boxed{14\ \text{and}\ 7}

Step-by-step explanation:

n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right

\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}

\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}

8 0
2 years ago
Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a fu
irga5000 [103]
We want to find a scalar function f(x,y) such that \nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j.
So we need to have
\dfrac{\partial f}{\partial x}=3+4xy^2
Integrating both sides with respect to x gives
f(x,y)=3x+2x^2y^2+g(y)
Differentiating with respect to y gives
\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C
So we find that
f(x,y)=3x+2x^2y^2+C
By the fundamental theorem of calculus, we then know the line integral depends only on the values of f(x,y) at the endpoints of the path. Therefore

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6
4 0
3 years ago
Homework ree
umka21 [38]

Answer:

325 miles and 77 dollars

Step-by-step explanation:

First, create equations. Let x equal the miles driven. The first plan expression  is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.

The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77

6 0
3 years ago
Other questions:
  • Is 1/5 a terminating or repeating decimal
    13·1 answer
  • Need help with #17 no clue what it is
    15·1 answer
  • If you have a $54.40 balance in your checking account, and you make a deposit of $150.00, what will the new balance be?A. $194.4
    9·1 answer
  • The sale price of a pair of pants is 65% of the regular price of $25. How much do you save by buying the pants on sale?
    12·1 answer
  • Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25 and a ride costs $1.
    14·1 answer
  • A local hamburger shop sold a combined total of 557 hamburgers and cheeseburgers on Friday. There were 57 more cheeseburgers sol
    11·1 answer
  • I don’t understand please all correct answers
    7·1 answer
  • Write an equivalent expression<br>8x - 6x + 10y + 6 + 4y + 9 = ?x + ?y + ?​
    9·1 answer
  • Kelvin makes a map of his apartment using a coordinate system with yards as the units. The point (-9,8) represents the main entr
    7·1 answer
  • S=t+5<br> 4s+2t=110<br> pls help me
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!