Mustafa buys seed packets for a community garden. One packet of basil seeds costs $1.50. One packet of squash seeds costs $2.50. Let b represent the number of packets of basil seed. Let s represent the number of packets of squash seeds. Mustafa spent $38 on 18 packets of seeds. How many packets of each type of seeds did Mustafa buy?
Answers
There are total 11 packets of squash seeds and 7 packets of basil seeds.
What is system of linear equations?
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
What is substitution method?
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.
Find out more information about system of equations and substitution method here:
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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
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Answers
Question???? Is the cow inside or outside of the barn?
We'll assume it is outside the barn because the inside is too easy.
---------------------------------
First we have an area that is 3/4 of a circle with a radius of 100 ft.
area=(3.14*100^2)*3/4=(3.14*10,000)*3/4=31,400*3/4=23,550 ft^2.
now we have a quarter circle with a raduis of 90 ft.
area=(3.14*90^2)/4=(3.14*8,100)/4=25,434/4=6,358.5 ft^2.
as an esimate of the remaining 2 slivers of 5*80+5*90=400+450=950 ft^2 (minus a tad)
adding up these pieces I get 23,550+6,358.5+950=30,858.5 ft^2 (minus the tad)
Answers
(This is a simpler form of the question because the question is just asking how many shapes of a rectangle can Jenn create with 18 blocks)
So, the numbers that multiply up to 18 are:
1 x 18
2 x 9
3 x 6
So, the answer is: Jenn can make the model of the park in 3 different ways.
Answers
Step 2. Using this constant, we have 1+(n-1)*4 as the formula. We can check with n=1 or 1+(1-1)*4=1. With n=2, 1+(2-1)*4=5. With n=3, 1+(3-1)4=9. So it checks out.
Step 3. With n=50, then 1+(50-1)*4=197.
Step 4. ANSWER: The 50th term is 197.
I hope the above steps were helpful.
Answers
Hope this helps you! :)
-4w - 4= 8
5 +1/7b = -2
i need help on these problems!
Answers
1. Add 6 to both sides.
4h−6+6=22+6
4h=28
2.Divide both sides by 4.
4h/4=28/4
h=7
−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
s=-4
−4w−4=8
Step 1: Add 4 to both sides.
−4w−4+4=8+4
−4w=12
2: Divide both sides by -4.
−4w/−4=12/−4
w=−3
Step 1: Simplify both sides of the equation.
1/7b+5=−2
2: Subtract 5 from both sides.
1/7b+5−5=−2−5
17b=−7
3: Multiply both sides by 7.
7*(1/7b)=(7)*(−7)
b=−49