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ANTONII [103]
3 years ago
5

Kenny has 9more comic books than Bobbie. Together they have 95 comic books. Define a variable. Then write an equation that could

be used to find the number of comic books they each have.

Mathematics
2 answers:
amm18123 years ago
6 0
I used a system of equations

solmaris [256]3 years ago
6 0
9+c = 95  
Then if needed solve for c 
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I’ll give brainliest
Alex

Answer:

84

Step-by-step explanation:

x = number of girls

The total for boys is 2x * 81 and for girls it would be 90x

Therefore, the equation goes like this:

2x * 81 + 90x

Then simplify, and set to equal 3x...

3x = 252

Which is the same as

x = 84

Thank me later :)

8 0
3 years ago
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

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

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.
natta225 [31]

The ODE is linear:

y'=x^4-\dfrac yx

y'+\dfrac yx=x^4

Multiplying both sides by x gives

xy'+y=x^5

Notice that the left side can be condensed as the derivative of a product:

(xy)'=x^5

Integrating both sides with respect to x yields

xy=\dfrac{x^6}6+C

\implies y(x)=\dfrac{x^5}6+\dfrac Cx

Since y(1)=1,

1=\dfrac16+C\implies C=\dfrac56

so that

\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}

4 0
3 years ago
The Golden family is planning to buy a house that sells for $125,000. They want to put 20% as a down payment. How much would the
Vadim26 [7]

Answer:

100000

Step-by-step explanation:

You multiple 125000 with .20 you get 25000 then you subtract 25000 fro 125000 and you get 100000 and that's your answer.

6 0
3 years ago
Olivia spent $20.00 on pencils and pens. Each pencil cost $2.00, and each pen cost $2.50. Which equation represents the number o
Solnce55 [7]

Answer: $2.00x + $2.50y = $20.00

Step-by-step explanation:

5 0
3 years ago
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