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
Ksju [112]
3 years ago
14

together, tom and max have 72 football cards, tom has 2 more than 4 times as many cards as max has, how many football cards does

tom have?
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

58

Step-by-step explanation:

Let t and m represent the numbers of cards had by Tom and Max, respectively. Then the problem statement tells us ...

  • t + m = 72
  • 4m +2 = t

We want to solve for t. If we multiply the first equation by 4 and subtract the second, we get ...

... 4(t +m) -(4m +2) = 4(72) -(t)

... 4t +4m -4m -2 = 288 -t . . . . . . . eliminate parentheses

... 5t = 290 . . . . . . . . . . . . . . . . . . . add t+2, collect terms

... t = 58 . . . . . . . . divide by the coefficient of t

_____

<em>Alternate Solution</em>

You can work this in your head if you realize that subtacting 2 from the total means that Max has 1/5 of the new amount. 1/5 of 70 is 14, so Tom has 72 - 14 = 58 cards.

You might be interested in
What is the Midpoint of CD given the coordinates C(-4,8) and D(8,-4)??
alina1380 [7]
Use this formula...
(-4 + 8) / 2 , (8 + (-4)) / 2
From there you get...
4 / 2 , 4 / 2
Simplify and you get
(2 , 2)

3 0
3 years ago
Read 2 more answers
The base of a pyramid has n sides. write an expression for the number of corners on the pyramid.
melisa1 [442]

Answer:

n+1

If a pyramid has n number of sides

⇒number of vertices in the base = n

Since in a pyramid there is one vertex on the top,and n number of faces are on the sides,and one face is in the base.

Total number of faces of pyramid = n+1

7 0
3 years ago
A square piece of plastic has a perimeter of 8 cm. how long is each side of the piece of plastic?​
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Since it is a square, all four sides are equal and its perimeter is just

P=4s, so if P=8 then

4s=8, dividing each side by 4 we get

s=2

So each side of the plastic square is 2 centimeters.

8 0
3 years ago
Read 2 more answers
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
likoan [24]

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

6 0
3 years ago
Ten less then quotient of a number and 3 is 8
Lesechka [4]

Answer:The answer is 6

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the cost of 2 kilograms of flour if 3 kilograms cost 4.86
    13·1 answer
  • In music, a quaver is one-eighth of a semibreve (whole note). What fraction of a semibreve is a hemidemisemiquaver? (Hint: hemi-
    8·1 answer
  • What does 3(13-2a)=-3+a =????
    5·2 answers
  • We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando
    5·1 answer
  • Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the two remaining num
    11·1 answer
  • Please help! Thank you!
    15·1 answer
  • Simplify 4x + 8 = 0.1x + 3 +3.9x
    7·1 answer
  • . Bella makes $7.50 an hour working at her job at the movie theater. If she worked 12 hours last week and 15.5 hours the week be
    8·1 answer
  • Two cans of paint and one roller cost $58. Three cans of the same paint and two rollers cost $92. What is a reasonable price for
    10·1 answer
  • The table indicates the number of cases of West Nile Virus over a period of 4 month. Find the rate of change between months 1 an
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!