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Arturiano [62]
3 years ago
10

Help me substitution method define variables

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0
\left \{ {{S=14+L} (I) \atop {S+L=124}(II)} \right.

<span>Substitute (I) into (II), we have:
</span>S+L=124
(14+L)+L=124
14 + 2L = 124
2L = 124 - 14
2L = 110
L =  \frac{110}{2}
\boxed{L = 55}

<span>Replace (II) in (I), we have:
</span>S=14+L
S = 14+ 55
\boxed{S = 69}

Answer:
each student sell: 
Lori = 55 pizzas
Steve = 69 pizzas
<span>

</span>
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Length would be 42 meters and width would be 28 meters. 
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Find the values of the variables and the lengths of the sides of this kite.
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3 years ago
4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Zanzabum

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.

7 0
2 years ago
Howie wants to get a car loan with 4% simple interest rate. If the car costs $25,000, how much would Howie need to pay back at t
likoan [24]

The amount Howie will pay back at the end of one year is $26000.00

The given parameters are:

P =25000 -- the principal amount

R = 4\% -- the interest rate

T=1 --- the duration

The amount to pay back in this duration is then calculated using:

A = P(1 + RT)

So, we have:

A = 25000(1 + 4\% \times 1)

A = 25000(1 + 4\% )

Express percentage as decimal

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A = 25000(1 .04)\\

Multiply

A = 26000

Hence, the amount to pay back is $26000.00

Read more about simple interest at:

brainly.com/question/1115815

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2 years ago
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