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2 years ago

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Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold

1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.

1 answer:

tiny-mole [99]2 years ago

4 0

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

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Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t

WINSTONCH [101]

Answer:

Barbara's speed in clear weather is $60mph$ and in the thunderstorm is $38mph$ .

Step-by-step explanation:

Let $v_1$ be the speed and $t_1$ be the time Barbara drives in clear weather, and let $v_2$ be the speed and $t_2$ be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). $v_2 = v_1 -22$

Also,

(2). $v_1t_1 = 45miles$

(3). $v_2 t_2 = 57$ ,

and

(4). $t_1+t_2 = 2.25hr$

From equations (2) and (3) we get:

$t_1 = \dfrac{45}{v_1}$

$t_2 =\dfrac{57}{v_2}$

putting these in equation (4) we get:

$\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25$

and substituting for $v_2$ from equation (1) we get:

$\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25$

This equation can be rewritten as

$2.25v_1^2-151.5v_1+990=0$

which has solutions

$v_1 = 60$

$v_1 = 7.33$

We take the first solution $v_1 =60$ because it gives a positive value for $v_2:$

$v_2 = v_1 -22$

$v_2 = 60 -22\\$

$v_2 = 38$ .

Thus, Barbara's speed in clear weather is $60mph$ and in the thunderstorm is $38mph$ .

4 0

3 years ago

PLEASEEE HELP!!

Kazeer [188]

Answer:

-60 and -28

Step-by-step explanation:

-60 + 42= -18

CHECK:

-42-18=-60

-56+-28=-84

CHECK:

-84+28=-56

Hope this helps <3 Need thanks? Comment /hearthelp

3 0

2 years ago

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2 years ago

The perimeter cf a rectangle i: 56 inches" the ratio of the length of the width is 6 : 1. Find the length and the width.

sergejj [24]

Answer: Length = 24; width =4

Step-by-step explanation

Since the ratio of the length to width is 6:1

Let the length be represented as 6x

And the width be = x

Such that that the Perimeter of the rectangle which is

Perimeter = 2(length + width) becomes

56 = 2(6x + x)

56/2 = 6x+x

28 = 7x

x = 4

Width = 4

Length = 6x= 6 x 4 = 24

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2 years ago

. Noel buys 12 balloons and 35 paper cups for his birthday party. What is the ratio of balloons to paper cups? 3.

Varvara68 [4.7K]

Answer:

12:35

Step-by-step explanation:

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1 year ago