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
patriot [66]
1 year ago
7

7 of 9

Mathematics
1 answer:
aleksklad [387]1 year ago
8 0

Using proportions, it is found that the total volume of the glass is of 216 cm³.

<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it is found that:

  • Initially, the glass is 1/3 full.
  • After adding 63 cm³ of orange of juice, the glass is 5/8 full.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering the volume of the glass as x, and the information given in the problem, the following equation can be built:

\frac{x}{3} + 63 = \frac{5x}{8}

We solve for x to find the volume of the glass as follows:

\frac{5x}{8} - \frac{x}{3} = 63

\frac{15x - 8x}{24} = 63

Then, applying cross multiplication:

7x = 24 x 63

Simplifying by 7:

x = 24 x 9

x = 216 cm³.

The total volume of the glass is of 216 cm³.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

You might be interested in
How do I solve these equations?
lilavasa [31]

Answer:

Solve X

X=1/2     X=0.5

Solve V

W=0.0260416v

V=38.4W

3 0
3 years ago
A farmer wants to fence in a rectangular field that encloses 3600 square feet. One side of the field is along a river and does n
andriy [413]

Answer:

C(x) = \$3.50(\frac{x^2+7200}{x})

Step-by-step explanation:

Data provided in the question:

Area of the field = 3600 square feet

Fencing charges = $3.50 per foot

Let the side along the river be 'x' feet and the other side of the 'B'

now,

Area of rectangle = Bx = 3600 square feet

or

B = \frac{3600}{x} feet

and total length to be fenced = x + 2B

therefore,

Total cost of fencing = Fencing charges × total length to be fenced

or

Total cost of fencing = $3.50 × ( x + 2B )

substituting the value of B from (1)

Total cost of fencing, C(x) = \$3.50(x+2\times\frac{3600}{x})

or

C(x) = \$3.50(\frac{x^2+7200}{x})

4 0
3 years ago
Which of the following is true about a linear function?
UkoKoshka [18]
It has a constant rate of change
3 0
3 years ago
What number would you add to the equation below to complete the square?x2 - 11x = 0?
nekit [7.7K]

2x - 11 = 0
2. 2
8 0
3 years ago
write an equation of the line that's passes through the point (1,6) and is parallel to the line whose equation is y= 3x - 5
Alex Ar [27]
Parallel lines have the same slope.
so to find any line, you need a set of points, and a slope.
we already have the slope, being 3.
so, use the equation
y- (y-point)/ x-(x-point)=slope.
y-6. 3
---- = ---- (make it a fraction by puttingitover 1)
x-1. 1
cross multiply.
1(y-6)=3 (x-1)
y-6=3x-3
add 6 to both sides
Final answer: Y=3x+3
7 0
3 years ago
Other questions:
  • John's goal is to have more than -7 dollars in his bank account by the end of the month. The variable d is the number of dollars
    9·2 answers
  • What is the area rounded to the nearest square centimeter
    8·2 answers
  • Expression: 6(m + 2 + 7m)
    15·1 answer
  • The mean age of 10 women in an office is 31 years old.
    14·2 answers
  • Thickness measurement ancient prehistoric Native American Pot Shards discovered in Hopi Village are approximately normally distr
    12·1 answer
  • Juan bought a laptop for 650 and a power adapter for 59 if the sales tax rate is 6% what was the total tax that juan paid
    11·1 answer
  • Answer the questions in the screenshot.
    9·1 answer
  • PLEASE HELP I’m really confused about this
    5·2 answers
  • Pls help me with this question!!
    11·1 answer
  • What is the slope of the line?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!