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
REY [17]
3 years ago
7

Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe

e​ A, write an algebraic expression that represents the number of pounds of coffee B.
An algebraic expression that represents the number of pounds of coffee B is
nothing.​(Type an expression using x as the​ variable.)
Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

The required expression that represents the number of pound of coffees B is 100-x

Step-by-step explanation:

Consider the provided information.

You want to mix two coffees in order to obtain 100 pounds of a blend.

Let x represents the number of pounds of coffee​ A and y represents the number of pounds of coffee​ B.

The obtained weight is 100 pounds.

x+y=100

y=100-x

Hence, the required expression that represents the number of pound of coffees B is 100-x

You might be interested in
The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have
stepladder [879]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following is the standard form of 36 / 24​
RSB [31]

Answer:

15 x 10^-1

Step-by-step explanation:

36÷24=1.5

In this case I'm considering 15 as the base of my standard form.

To make 15 a 1.5, you'll have to move from right to left one unit and on the number line moving from the right to left gives you a negative number of units moved

8 0
3 years ago
42:28
gogolik [260]

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \overline{ED}\cong \overline{FD}

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\\ \overline{EF}\cong \overline{FD} (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\\ \overline{EF}\cong \overline{FD}\cong \overline{ED} (definition of equilateral triangle)

\overline{ED}\cong \overline{FD}

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\overline{CF}\cong \overline{CD} (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

5 0
3 years ago
Help me on math please!!!!!
AVprozaik [17]
I see you do K12 huh?  XD Okay so, the answer should be below or above or something.  lol  Hope this helped!

-Twix

4 0
3 years ago
2) Evaluate 9 X 364 – 9 X 125 – 9 X 39 without the use of your calculator
Brums [2.3K]

Answer:

<em>9*364 - 9*125 - 9*39 = 1,800</em>

Step-by-step explanation:

<em>Mental Calculation</em>

If we detect known patterns in the calculations, we could easily give their results without the use of calculators.

We are given the expression to evaluate:

9*364 - 9*125 - 9*39

The first thing to note is the 9 is a common factor of all terms, thus we take it out:

9*(364 - 125 - 39)

The negative numbers can be easily added

     125

+     39

------------

     164

Now our expression is much easier:

9*(364 - 164)

The subtraction of 364-164 is 200, thus the result of the operations is:

9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:

9*364 - 9*125 - 9*39 = 1,800

7 0
3 years ago
Other questions:
  • A car travels 0.75 miles per minute. Explain how you could use proportional reasoning to find how far the car travels in one hou
    6·1 answer
  • A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before
    13·2 answers
  • Two boats leave the same dock in Cairo, IL at the same time. One heads north on the Mississippi River while the other heads sout
    7·1 answer
  • An oblique prism has a square base and height of 3 centimeters.
    12·2 answers
  • how long is the arc intersected by a central angle of π/3 radians in a circle with a radius of 6 feet round your answer to the n
    13·2 answers
  • Which of the following terms is not a monomial
    12·1 answer
  • Pls hurry!!!!!!!<br><br> Factor 60x−12y<br> . Explain how you found your answer.
    12·1 answer
  • A teacher spends hour grading of a student's essay. At this rate, how long does it take the teacher to grade the student's entir
    12·1 answer
  • The driveway of the Santiagos' new home is to be bounded by semicircle arcs as shown. The distance from X to Y is 100 ft. The co
    15·1 answer
  • A price of a motorcycle is Rs 175000. The year rate of deprecation is 4%. Find the price of motorcycle after 3 years
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!