A canoe rental company charges $6 for the first hour and $5 for each additional hour.

tom sold half of his comic books and then bought six more. he now has 12. how many did he begin with?

Troyanec [42]

B=books
Sold half of book: b/2
Bought six more: b/2+
Now has 12: b/2+6=12
Subtract 6 on both sides: b/2+6-6=12-6
b/2=6
Multiply both sides by 2: b=12
Answer= 12 books

7 0

3 years ago

Can you help me im not that good at math and its a clear photo y =___x^2+__x+______

geniusboy [140]

Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
(x + y)^2 = x^2 + 2xy + y^2
Standard Form: y = ax^2 + bx + c

So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:

$y=a(x-(-1))^2+7\\y=a(x+1)^2+7$

Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:

$5=a(0+1)^2+7\\5=a(1)^2+7\\5=a+7\\-2=a$

Now we know that our vertex form equation is y = -2(x + 1)^2 + 7.

However, we need to convert this into standard form still, and we can do it as such:

Firstly, solve the exponent: $y = -2(x^2+2x+1) + 7$

Next, foil -2(x^2+2x+1): $y = -2x^2-4x-2+7$

Next, combine like terms and your final answer will be: $y = -2x^2-4x+5$ 

3 0

3 years ago

Question in the image

dalvyx [7]

The exact surface area is 150.8 and the exact volume is 141.37.

To answer this I used the formula for surface are for a right cylinder which is. 2•3.14•r•h+2•3.14•r^2 (^2 means to the power of 2) r=radius and h=height. When you replace the r’s and the h’s with the radius and height it’ll look like this. 2•3.14•3•5+2•3.14•3^2. For the power of 2 (^2) we basically just do 3•3. But when you put that into a calculator it gives you 150.8.

To find the volume use the formula 3.14•r^2•h when you replace the r’s and the h’s with the height and the radius it’ll look like this. 3.14•3^2•5. When put into the calculator it gives you 141.37.

7 0

3 years ago

Look at the picture

IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction $\frac{1}{5}$ has been multiplied by its reciprocal $\frac{5}{1}$ , making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply $\frac{6}{3}$ · $\frac{5}{1}$ :

6 · 5 = 30

3 · 1 = 3

So now you should have the fraction:

x = $\frac{30}{3}$

But, you can still simplify the fraction by dividing 30 by 3:

x = 10

7 0

3 years ago

Raj gets a 1.5 mile head start and runs at a rate of 4.5 miles per hour. Jacinda's progress is represented by a graph that goes

Alexxandr [17]

From the given ordered pair representing Jacinda's progress, her speed is equal to 10 miles per hour. Letting x be the time it takes for Jacinda to catch up with Raj, the total distance Raj would travel is
1.5 + 4.5x
and Jacinda's total distance is 10x. Mathematically,
1.5 + 4.5x = 10x
The value of x from the equation is 0.27 hours. Therefore, Jacinda needs to run 2.7 miles to catch up with Raj.

6 0

3 years ago