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Luba_88 [7]
4 years ago
13

Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Marvin went to the same movie an

d bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one chocolate chip cookie cost?
Mathematics
1 answer:
hichkok12 [17]4 years ago
4 0
X=price of one jumbo popcorn
y=price of one chocolate chip cookies

$5.00=$5.00(100 cts / $)=500 cts
$6.00=$6.00(100 cts / $)=600 cts

We suggest this system of equations:

x+2y=500
x+4y=600

we solve this system of equations by reduction method.

-(x+2y=500)
  x+4y=600
----------------------
      2y=100    ⇒ y=100/2=50

x+2y=500
x+2(50)=500
x+100=500
x=500-100
x=400

solution: one chocolate chip cookie cost 50 cts.
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kolezko [41]

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = \sqrt{(2-2)^2+(a+1)^2} = \sqrt{0+(a+1)^2} = \sqrt{(a+1)^2} = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

3 0
3 years ago
Consider a circle whose size can vary. Let r r represent the radius of the circle (in cm) and let C C represent the circumferenc
Ket [755]

Answer:

  f(r) = 2πr

Step-by-step explanation:

You know the formula for circumference in terms of radius is ...

  C = 2πr

You are being asked to write this as a function named "f". That will be ...

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8 0
3 years ago
Read 2 more answers
If y = 4x + 0.5, find y when x =1.5
inn [45]

Answer:

= 6.5

Step-by-step explanation:

You have to plug in 1.5 for x

->

4(1.5) + 0.5 = 6.5

8 0
3 years ago
A truck can be rented from Company A for ​$70 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.40 per mile to r
Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

8 0
3 years ago
If f(x) = -7x + 5x2 + 10, what does f(-2) equal?
aksik [14]

Answer:

f(-2) = 44

Step-by-step explanation:

Hello there! Lets get started solving this function!

For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

f(x) = -7x + 5x^{2} + 10\\f(-2) = -7(-2) + 5(-2)^{2} + 10\\f(-2) = 14 + 20 + 10\\f(-2) = 44\\

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.

Hope this helps! Remember, math is fun!

7 0
3 years ago
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