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
Dmitrij [34]
3 years ago
7

I really need help and this answered ASAP. thank you and sorry.

Mathematics
2 answers:
Delvig [45]3 years ago
7 0
Answer:
$2.50
I hope this helps!
Semenov [28]3 years ago
4 0

9514 1404 393

Answer:

  $2.50

Step-by-step explanation:

The question asks for the total cost of a notebook and pen together. We don't need to find their individual costs in order to answer the question.

Sometimes we get bored solving systems of equations in the usual ways. For this question, let's try this.

The first equation has one more notebook than pens. The second equation has 4 more notebooks than pens. If we subtract 4 times the first equation from the second, we should have equal numbers of notebooks and pens.

  (8n +4p) -4(3n +2p) = (16.00) -4(6.50)

  -4n -4p = -10.00 . . . . . . . . . . . simplify

  n + p = -10.00/-4 = 2.50 . . . . divide by the coefficient of (n+p)

The total cost for one notebook and one pen is $2.50.

__

<em>Additional comment</em>

The first equation has 1 more notebook than 2 (n+p) combinations, telling us that a notebook costs $6.50 -2(2.50) = $1.50. Then the pen is $2.50 -1.50 = $1.00.

One could solve for the costs of a notebook (n) and a pen (p) individually, then add them together to answer the question. We judge that to be more work.

You might be interested in
To which sets of numbers - 1/4 does<br> belong?
Afina-wow [57]

Where are the sets? I don't see any...

6 0
2 years ago
John makes $10.50 per hour. if he works 35 hours this week, what is his gross pay​
VMariaS [17]
$10.50 X 35 would give you your answer which would equal $367.5
7 0
3 years ago
Read 2 more answers
What is 9/36 equivalent to?
Ronch [10]
\frac{9}{36}=\\\\\frac{9:3}{36:3}=\boxed{\frac{3}{12}}\\\\\frac{9:9}{36:9}=\boxed{\frac{1}{4}}\\\\therefore\ \frac{9}{36}=\frac{1}{4}\\\\so,\ next\ equivalent\ fractions\ are:\\\\\frac{1\cdot2}{4\cdot2}=\boxed{\frac{2}{8}}\\\\\frac{1\cdot4}{4\cdot4}=\boxed{\frac{4}{16}}\\\\\frac{1\cdot5}{4\cdot5}=\boxed{\frac{5}{20}}\\\vdots\\and\ an\ infinite\ number\ of\ other
4 0
3 years ago
Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points ​(4​,5​), ​(-6​,-6​), and ​(-14​,2​
Lilit [14]

Answer:

  (-2, -3)

Step-by-step explanation:

A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.

_____

The simultaneous equations for the circles can be solved algebraically.

The epicenter is 10 units from X, so lies on the circle ...

  (x -4)^2 +(y -5)^2 = 10^2

  x^2 -8x +16 +y^2 -10y +25 = 100

  x^2 +y^2 -8x -10y = 59

__

The epicenter is 5 units from Y, so lies on the circle ...

  (x +6)^2 +(y +6)^2 = 5^2

  x^2 +12x +36 +y^2 +12y +36 = 25

  x^2 +y^2 +12x +12y = -47

__

The epicenter is 13 units from Z, so lies on the circle ...

  (x +14)^2 +(y -2)^2 = 13^2

  x^2 +28x +196 +y^2 -4y +4 = 169

  x^2 +y^2 +28x -4y = -31

__

Subtracting the second equation from each of the other two, we get ...

  (x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)

  -20x -22y = 106 . . . . eq1 -eq2

  (x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)

  16x -16y = 16 . . . . . . . .eq3 -eq2

These simultaneous linear equations can be solved a variety of ways. We might use substitution:

  x = y+1 . . . . . from eq3 -eq2 divided by 16

  10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2

  21y = -63 . . . . . . . . . . . . simplify, subtract 10

  y = -3

  x = y+1 = -2

The epicenter is located at (x, y) = (-2, -3).

8 0
3 years ago
Which expression is equivalent to b^-2/ab^-3? Assume a doesn’t equal 0, b doesn’t equal 0
Alexandra [31]

Answer:

Step-by-step explanation:

hello

\dfrac{b^{-2}}{ab^{-3}}=a^{-1}b^{-2+3}=a^{-1}b=\dfrac{b}{a}

hope this helps

3 0
3 years ago
Other questions:
  • Ferb puts $2700 into a certificate of deposit that earns 3.97%. If the money is
    11·2 answers
  • ¿Cuál es la fórmula para calcular el área de cualquier triangulo?
    9·1 answer
  • Simplify the complex fraction.
    15·1 answer
  • An isosceles right triangle has a hypotenuse that measures 4√2 cm. What is the area of the triangle?
    7·2 answers
  • One fifth of the sum of 3 and a number
    8·1 answer
  • Help please :) ...........
    11·2 answers
  • A family has two cars. The first car gets 25 miles per gallon and the second car gets 15 miles per gallon. In a week the two car
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B%20-%202v%7D%5E%7B4%7D%20%20%7B%20-%206v%7D%5E%7B3%7D%20" id="TexFormula1" title=" { - 2
    10·1 answer
  • Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV m
    13·1 answer
  • Enter the ordered pair that is the solution to the system of equations graphed below. Y=2x-5 y= 1/2x -2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!