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Nana76 [90]
3 years ago
7

Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the

magazine ordered.
Carla pays $9.44 for 4 magazines, and she pays $21.24 for 9 magazines.

The equation below represents the amount of money Brandon pays for x magazines.

y = $2.87x

Who pays more per magazine?
A.
Brandon and Carla pay the same price per magazine.

B.
Carla pays more per magazine.

C.
Brandon pays more per magazine.

D.
There is not enough information to determine the price per magazine.
Mathematics
1 answer:
svp [43]3 years ago
5 0
C because 9.44 divided by 4 is 2.46
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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh
natima [27]

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

3 0
1 year ago
What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?
matrenka [14]
Sum_{7} = 10 *  \frac{1- (-2^{7}) }{1 - (-2)} =  10*  \frac{1+128}{1+2} = 10*  \frac{129}{3} =   10 * 43 = 430
4 0
2 years ago
Consider the system:
Gnom [1K]

Answer:

Step-by-step explanation:

In this problem, we have the following linear equations:

y=3x+5

y=ax+b

We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.

1.  What values for a and b make the system inconsistent?

A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:

a=3

for any value of b

2. What values for a and b make the system consistent and dependent?

A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:

a=3 and b=5

8 0
3 years ago
Read 2 more answers
(6y^2-7y-3)-(2y^2-9y-7) simplify
madreJ [45]
6y^2-7y-3-2y^2+9y+7 (pretend that you're multiplying -1 to 2y^2-9y-7 which is why 9y and 7 are positive now).
Now you're able to simplify your problem, so...

6y^2-2y^2= 4y^2
-7y+9y= 2y
-3+7=4

4y^2+2y+4

Might want to check my math but that's how you do it.
5 0
3 years ago
What is the value of the 4 in the number 17.884?<br>Write your answer as a fraction.​
ikadub [295]

Answer:

4/1000

Step-by-step explanation:

the value of 4 is 0.004 which in fraction form is 4/1000

6 0
3 years ago
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