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
tatiyna
2 years ago
7

Equation A: a=5b + 1

Mathematics
1 answer:
lukranit [14]2 years ago
5 0

ANSWER:

a = 11

b = 2

Explaination:

We have two equations:

a = 5b + 1 .....................(1)

a = 3b + 5.....................(2)

Here we use substitution method in order to solve the set of equations.

put a=3b+1 to equation (1)

3b + 5 = 5b + 1

Solve for b

5 = 5b -3b + 1

5-1 =2b

4 = 2b

b = 2

Now put the value of b = 2 into the equation (1) or (2)

a = 5b + 1

a = 5(2) + 1

a = 10 + 1

a = 11

You might be interested in
Jonathan owns a food truck that sells tacos and burritos. He only has enough
ivanzaharov [21]

When graphing inequalities, the dependent variable, or <em>y</em>, is placed on the left hand side of the equation while the right side has the other variables

One possible solution of the inequality is <u>(20, 60)</u>

<u />

The given parameters are;

The amount of supplies Jonathan has = Enough to make 90 tacos

Price at which each taco is sold = $3

Price at which each burrito is sold = $7

The amount of tacos and burritos Jonathan must sell each day = $420

Number of tacos sold = x

Number of burritos sold = y

Required:

To write and solve the system of inequalities graphically and determine one possible solution

Solution:

The system of inequalities are;

x + y ≤ 90

3·x + 7·y ≥ 420

To plot the graphs of the above inequalities, we have;

y ≤ 90 - x

y ≥ 420/7 - 3·x/7

y ≥ 60 - 3·x/7

From the graph of the inequality, the vertices of the triangle of the feasible region are;

(0, 90), (0, 60), and for accuracy, the third vertex is found as follows;

90 - x = 60 - 3·x/7

x = 52.5

y = 90 - x

∴ At the vertex point, y = 37.5

The third vertex is (52.5, 37.5)

The vertices of the triangle of the feasible region are; (0, 90), (0, 60), and (52.5, 37.5), and one <u>possible solution</u> inside the feasible region is <u>(20, 60)</u>

<u />

Learn more about graphing inequalities here;

brainly.com/question/2726610

7 0
1 year ago
Read 2 more answers
Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some sour straws for $1.50
frosja888 [35]
15-7.50=7.50
7.50/1.50=?
5 0
2 years ago
A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of
lesantik [10]

Answer:

Therefore, the volume of larger cone is

Therefore, the volume of waffle cone is

Therefore, the volume of waffle cone is more than regular ice-cream cone

Step-by-step explanation:

7 0
2 years ago
Simplify the equation given in the image
IRINA_888 [86]

Answer:

b^20/a^12

Step-by-step explanation:

b to the power of 20 over a to the power of 12

6 0
2 years ago
Which of the following is the quotient of the rational expressions shown here?
hodyreva [135]

Hello lllllllll lllllllll lllllllll lllllllll

Step-by-step explanation:

llllllllllllllllllllllllllll llllllllllllllllllllllllllll llllllllllllllllllllllllllll

7 0
2 years ago
Read 2 more answers
Other questions:
  • How are the graphs of y = -3x and y = 3x related?
    10·1 answer
  • The length of the side opposite B measures __ units
    13·2 answers
  • Brenda wants to buy one of the three cereals listed below. Which box of cereal is the Best Buy? Show and explain how you determi
    5·1 answer
  • Draw a place value chart for 498,274,163. Label the periods and the place values within each period
    12·2 answers
  • F(x) is a function? Please help
    12·1 answer
  • 1,075 in written form decimal
    7·1 answer
  • A mailbox casts a 4-foot shadow. A nearby tree that measures 12 feet casts an 15-foot shadow. How tall is the mailbox?
    11·1 answer
  • Q. a) Work out an expression to find the nth term of the sequence 5,8,11,....... b) find the 90th term of the sequence. *
    7·1 answer
  • 1 doller bill and a 10 doller bill and for quarters makes what?
    12·1 answer
  • Help me pls brainles
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!