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Mazyrski [523]
3 years ago
13

Jarek buys jerseys for his team online. He pays a constant shipping price plus a special rate for each jersey. During the spring

season Jarek paid $151 for 24 jerseys. In the summer season he paid $79 for 12 jerseys. What is the special rate Jarek pays for each jersey and how much does he pay for shipping?
Mathematics
1 answer:
zmey [24]3 years ago
5 0
1)24r+s=$151
2)12r+s=$79
1)-2), we get
(24r+s)-(12r+s)=$151-$79
12r=$72
r=$72/12=$6

Substitute r the value into equation 1)
s+24*$6=$151
s=$151-$144
s=$7

So he pays $6 for the rate, $7 for the shipping.

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
If g(x) = 2x2 + bx + 5 and g(1) = 4, what is the value of g(-1)?
gulaghasi [49]
Here is the answer.hope it helps...

6 0
3 years ago
The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Vanyuwa [196]

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

4 0
2 years ago
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3. The ratio of blue marbles to white
SSSSS [86.1K]

Answer:

C 40

Step-by-step explanation:

1 blue : 2 white

multiply both sides of the proportion by 20 to reach 20 blue marbles

20 blue: 40 white

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3 years ago
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Dolly gave Molly 6/8 packs of sweets. Molly had 18 packs of sweets. How many packs of sweets did Dolly start out with?
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I think it is 22.5, since molly has 75% of the packs
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