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TiliK225 [7]
3 years ago
7

A store is having a sale on trail mix and jelly beans. For

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
8 0
2t + 3j = 14 ....multiply by -3
6t + 5j = 28
--------------
-6t - 9j = - 42 (result of multiplying by -3)
6t + 5j = 28
------------add
-4j = - 14
j = -14/-4
j = 3.50

2t + 3j = 14
2t + 3(3.50) = 14
2t + 10.50 = 14
2t = 14 - 10.50
2t = 3.50
t = 3.50/2
t = 1.75

so the trail mix (t) costs 1.75 per lb and the jellybeans (j) costs 3.50 per lb

s344n2d4d5 [400]3 years ago
6 0
X= cost for each pound of trail mix
y=cost for eache pound of jelly beans.

We can suggest this system of equations:
2x+3y=14
6x+5y=28

1)we solve this system by substituion method.
2x+3y=14
3y=14-2x
y=(14-2x)/3

6x+5(14-2x)/3=28
6x+(70-10x)/3=28
18x+70-10x=84
8x=84-70
8x=14
x=14/8
x=1.75

y=(14-2x)/3
y=(14-2*1.75)/3
y=(14-3.5)/3
y=10.5/3
y=3.5

Answer: the cost for each pound of trail mix is $1.75, and the cost for each pound of jelly beans is $3.5.

other method: equalization method.
2x+3y=14    ⇒x=(14-3y)/2
6x+5y=28    ⇒x=(28-5y)/6

(14-3y)/2=(28-5y)/6
least common multiple=6
3(14-3y)=(28-5y)
42-9y=28-5y
-9y+5y=28-42
-4y=-14
y=-14/-4=3.5


x=(14-3y)/2
x=(14-3*3.5)/2
x=(14-10.5)/2
x=3.5/2
x=1.75

Answer: the cost for each pound of trail mix is $1.75, and the cost for each pound of jelly beans is $3.5.

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Answer:

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3 0
3 years ago
Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other word
Paladinen [302]

Solution :

Let us consider the squares be $[1, 16] \times [16, 32]$

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region$y-x \geq 9 \text{\ is}\ y - x = 9$  which goes from the $(7, 16  ) \text{ to}\ (16, 25) $.

And so it is easier to find the area of region where $ y-x \leq 9$. This is the triangle with points $(7,16),(16,25) \text{ and}\ (16,16)$ as its vertices.

The area if the triangle is =  $\frac{1}{2} \times 9 \times 9$

                                         = $\frac{81}{2}$

Now the entire area is $(16)^2$  = 256

Then, $P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$

or $P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$

Thus the answer is $\frac{431}{512}$

4 0
3 years ago
Yolanda opened a retirement account earning 5.5% interest per year, compounded monthly. She deposited $100 each month. Assume th
Naya [18.7K]

The balance in dollars and cents in Yolanda's account at the end of 4 years is $5,355.29

What is the future value of an ordinary?

An ordinary annuity is the one where the monthly deposit occurs at the end of each month rather than at the beginning of the months such its future value based on 5.5% annual interest rate can be determined thus:

FV=PMT*(1+r)^N-1/r

FV=balance in dollars and cents in Yolanda's account at the end of 4 years=unknown

PMT=monthly deposit=$100

r=monthly interest rate=5.5%/12=0.00458333333333333

N=number of monthly deposits in 4 years=4*12=48

FV=$100*(1+0.00458333333333333)^48-1/0.00458333333333333

FV=$5,355.29

Find out more about future value on:brainly.com/question/20187354

#SPJ1

Missing question:

What was the balance in dollars and cents in Yolanda's account at the end of 4 years?

8 0
1 year ago
53 is 50% of what number
MissTica
If something is 50%, it is half, so 53 + 53 = 106 .
50% of 106 is 53 .

Hope I helped you out.
4 0
3 years ago
Mrs. Nelson bought a 2-gallon container
Serjik [45]
128, because it’s actually 256 but 256/ 2= 128
5 0
3 years ago
Read 2 more answers
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