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
nexus9112 [7]
3 years ago
13

Together Kate and Matt have 47 cards. If Kate and Zach combine cards they have 126. If Matt and Zach combine they have 93. How m

any cards does Matt have
Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0

Answer: Matt has 7 cards.

Step-by-step explanation:

Let x represent the number of cards that Kate has.

Let y represent the number of cards that Matt has.

Let z represent the number of cards that Zach has.

Together Kate and Matt have 47 cards. This means that

x + y = 47

y = 47 - x

If Kate and Zach combine cards they have 126. This means that

x + z = 126

z = 126 - x

If Matt and Zach combine they have 93. This means that

y + z = 93 - - - - - - - - - 1

Substituting y = 47 - x and z = 126 - x into equation 1, it becomes

47 - x + 126 - x = 93

47 + 126 - x - x = 93

173 - 2x = 93

2x = 173 - 93

2x = 80

x = 80/2 = 40

The number of cards that Matt has is

y = 47 - x = 47 - 40

y = 7

Ede4ka [16]3 years ago
3 0

Answer:

Matt has 7 cards.

Step-by-step explanation:

Let K, M and Z represent number of cards that Kate, Matt and Zach have.

We have been given that together Kate and Matt have 47 cards. We can represent his information in an equation as:

K+M=47...(1)

We are also told that Kate and Zach combine cards they have 126. We can represent his information in an equation as:

K+Z=126...(2)

Further, Matt and Zach combine they have 93. We can represent his information in an equation as:

M+Z=93...(3)

Upon subtracting equation (3) from equation (2), we will get:

K-M=126-93

K-M=33

K=33+M

Upon substituting this value in equation (1), we will get:

33+M+M=47

33-33+2M=47-33

2M=14

M=\frac{14}{2}=7

Therefore, Matt has 7 cards.

You might be interested in
How can you determine which variable is dependent and which variable is independent
padilas [110]

MrBillDoesMath!

Answer:  The dependent variable depends on another variable for its value. For example, if  y = 2x,  setting x = 1 forces y= 2.; setting x = 10, forces y =20.  There are no other possibilities for y once x ids chosen. So y is the dependent variable and x is the independent one. You can pick values for the independent variable (x) but no so for the dependent one.

MrB

8 0
3 years ago
Read 2 more answers
could someone explain to me how to multiple/divide equations in scientific notation im super confused :(
Gemiola [76]
Hi you can change the scientific notation to standard notation. Then go from there
3 0
2 years ago
Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun
RUDIKE [14]

Answer: the future value is $1748.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1550

r = 4% = 4/100 = 0.04

n = 365 because it was compounded 365 times in a year.

t = 3 years

Therefore,.

A = 1550(1 + 0.04/365)^365 × 3

A = 1550(1+0.00011)^1095

A = 1550(1.00011)^1095

A = 1550 × 1.128

A = 1748.4

8 0
3 years ago
What is the slope of the line passing through the points (1, -5) and (4,1)
never [62]

The slope of the line passing through (1,-5) and (4,1) is 2

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP! The interior angles of a triangle have measures 100°,(4y+25)degrees and (3y+20) degrees. What is the value of
erastova [34]

100°+(4y+25)+(3y+20)=180°

100+4y+25+3y+20=180

7y+145=180

7y=35

y=5

100°; 45°; 35°

7 0
3 years ago
Other questions:
  • Please help quickly, I have to turn this in tomorrow for school
    12·1 answer
  • What is the slope of 6x-12y=36
    6·1 answer
  • F almonds sell for $1.20 per pound, and walnuts sell for $.75 per pound, how many pounds of each must be used to make 45 pounds
    14·1 answer
  • Point O is the centre of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent)
    10·1 answer
  • Help please !!!!!!!!!!!!!!11
    7·1 answer
  • Cuanto es (60 : 10 + 8) x 2
    7·1 answer
  • Pls help I will mark brainliest
    13·2 answers
  • Can someone help me with my math quiz, please?
    13·2 answers
  • What number should come next in the sequence? 0.8, 0.35, -0.1, -0.55, ... FASTTTTT
    8·1 answer
  • The answer to this question asap please
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!