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
Blizzard [7]
1 year ago
10

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

ards for his favorite tea house and his favorite coffee shop. He currently has 2 punches on the tea punch card and 11 punches on the coffee punch card. Given his regular routine, he consistently earns 7 new punches per week on the tea punch card and 4 on the coffee punch card. Before too long, Josiah will have the same number of punches on each card. How long will that take? How many punches will Josiah have on each card?
Mathematics
1 answer:
love history [14]1 year ago
6 0

Let x be the number of weeks; therefore, the two linear equations are

\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}

Thus, substitute the value of x=3 into the first equation,

\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

You might be interested in
Multiply.<br> (5v+6w-7)(-3)<br> Simplify your answer.
Zielflug [23.3K]

Answer:

if my calculator is not wrong Is 21

3 0
2 years ago
Could someone please help and explain this to me
Lelu [443]

Answer:

Step-by-step explanation:

Four

Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.

More important, it tells you what to put in for x on the right.

f(z) would tell you to put z in for x anywhere there is an x on the right.

f(z)=2z+1. It is just a shorthand to tell you what to do on the right.

f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.

f(2) = 2(2) + 1

f(2) = 4 + 1

f(2) = 5

=================

Five

f(x) = -x - 5            The minus 4 is not going to change what you do.

f(-4) = -(-4) - 5        Wherever you see an x you put in a minus 4

f(-4) = 4 - 5

f(-4) = - 1

======================

Just so you know, consider a more complicated example

f(x) = 20x^3 + 7x^2 + 4x + 19

Where ever you see an x put in 2

f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19

f(2) = 20*8 + 7*4 + 4*2 + 19

f(2) = 160 + 28 + 8 + 19

f(2) = 215

Note x can be anything the question tells you it is.

f(5) means put a 5 in for every x.

8 0
3 years ago
How do you find the measure of angle b?
Ierofanga [76]
The answer is b)35 because those angles are supplementary which means their sum is 180.

so 180+145 = 35
4 0
3 years ago
Read 2 more answers
Irene has 1 gallon of milk. She uses
Umnica [9.8K]

Answer:

32

Step-by-step explanation:

In 1 gallon, there are 128 ounces.

Divide 128 by 4 and get 32.

5 0
3 years ago
Need help with this geometric question
Svet_ta [14]

Answer: A

Step-by-step explanation:

V=\frac{1}{2}(6)(4)(2)=\boxed{24}

8 0
2 years ago
Other questions:
  • Which expression is equivalent to 12x – 3x? *<br><br> 8x<br> 9<br> 3(3x - x)<br> x(12-3)
    9·2 answers
  • How to make an improper fraction into a proper fraction?
    11·1 answer
  • Simplify 3 3/4- 1/5
    5·1 answer
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
    7·1 answer
  • If the angle of R and the angle of S are vertical angles and the measure of Angle R = 39 degrees, what is the measure of angle S
    10·1 answer
  • An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pie
    9·1 answer
  • WILL GIVE BRAINLIEST PLS HELP シ
    8·2 answers
  • Help me pls now help
    7·2 answers
  • Please answer this question immediatly
    6·2 answers
  • Calculate for the area of the shaded portion. Take π=22/7.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!