There are total 11 packets of squash seeds and 7 packets of basil seeds.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.
According to the given question.
Cost of one packet of basil seeds = $1.50
Cost of one packet of squash seeds = $2.50
Cost of 18 packets of seeds = 38
Also, b represents the number of packets of basil seeds and s represents of numbers of squash seeds.
Therefore, from the given conditions we get some system of equations
and
From equation (i)
Substitute the value of s in the equation (ii)
⇒
⇒
⇒
⇒
⇒
So,
Hence, there are total 11 packets of squash seeds and 7 packets of basil seeds.
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Answer:
Step-by-step explanation:
b+s=18
s=18-b
1.50 b+2.50 s=38
multiply by 4
6.00 b+10.00 s=152
divide by 2
3 b+5 s=76
3 b+5(18-b)=76
3 b+90-5 b=76
-2b=76-90
-2b=-14
divide by -2
b=7
s=18-7=11
The expression for the total cost of hiring a plumber will be equal to $50 + $40(h).
Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement in the question,
The charge for a plumber to visit the house = $50
The additional charge per hour = $40
The expression for t hours will be,
A = $50 + $40(h),
Here, A is the total amount and h is the number of hours the plumber is working.
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B. 3.2 ×10²
C. 3.2 ×10³
D. 3.2 ×10³
What is the final product
Of this mathematical question?
21) Total number of cups: 26
6) Solution of the equation: x = -12
7) Father's age: 40
4) Distance driven: 400 miles
Step-by-step explanation:
21)
Let's call:
the height of each cup
the total height available in the dispenser
We are told that each cup added to the stack add a height of
We can therefore solve the problem by writing the following equation:
which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.
Solving for N:
And including the first cup, the total number of cups is
6)
The equation that we have to solve is
We proceed as follows:
First of all, we add +1 on both sides of the equation,
Now we multiply by 2 on both sides:
And now we divide both sides by 5:
7)
Let's call:
k = Karma's age
f = father's age
We are told that Karma is 13 years old, so
k = 13
Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write
By combining the two equations,
And solving for f, we find:
So, the father's age is 40.
4)
Let's call:
T = 16 the total volume of the tank (16 gallons)
We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is
This means that the amount of fuel left after x miles is
We also know that the amount of fuel left is 4 gallons, therefore:
So, 400 miles.
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Answer:
45.05
Step-by-step explanation:
hope this works haha