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icang [17]
3 years ago
12

Maria and Jason are saving gas money for their trip to Boston. Maria has saved $20 more than double what Jason has. Combined Mar

ia and Jason were able to achieve their goal of saving $200 dollars! How much did Jason save for this trip?
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

$60

Step-by-step explanation:

Jason saved gas money (x).  Maria saved $20 more than double what Jason has (20 + 2x).  Combined, they saved $200.  Solve for x for Jason's amount.

(x) + (20 + 2x) = 200

x + 20 + 2x = 200

3x + 20 = 200

3x + 20 = 200

3x + 20 - 20 = 200 - 20

3x = 180

3x/3 = 180/3

x = 60

Jason saved $60 for this trip.

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Sedaia [141]
P=$24038.60 has to be invested to have $45000 after 19 years
3 0
3 years ago
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Which graph represents the solution set for the system x + 2y 3, x + y 4, and 3x − 2y 4?
Lerok [7]

x + 2y + 3 = 0
Subtract x from both sides.
2y + 3 = -x
Subtract 3 from both sides.
2y = -x - 3
Divide by 2 on both sides
y = -(x+3)/2

x + y + 4 = 0
Subtract x and 4 from both sides
y = -x - 4

3x - 2y + 4 = 0
Subtract 3x and 4 from both sides.
-2y = -3x -4
Divide by -2 from both sides.
y = -(3x + 4) / 2

The answer is the graph that contains these slopes and lines on the graph, which was not provided.

4 0
3 years ago
Find the derivative of cscx/3sinx
Neporo4naja [7]
\frac{csc x}{3sinx} =  \frac{1}{3sin ^{2}x }
3 0
3 years ago
Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
WARRIOR [948]

Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
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Add using the number line. ​ −0.5 + (−1.7) ​
Rudik [331]

Answer:

- 0.5 - 1.7 = - 2.2

Step-by-step explanation:

We need to add two numbers using the number line.

Steps to Add Numbers on the Number Line:

When we add a negative numbers that we move the point to the left of the number line.

We are adding two negative numbers. Locate the first number which is -0.5. Then, add negative 1.7 to it which means moving the existing point 1.7 units to the left of the number line.

So, we get 2.2 on the left.

2.2 is left side it means sign is negative.

Final answer is -2.2

3 0
3 years ago
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