Ben and Blake both love to collect baseball cards. The ratio of cards that Ben has compared to the number that Blake has is 2:3. If Blake buys 500 more cards, he will have 3800 cards. How many cards does Ben currently own?

Answer: [tex]2\sqrt{34}[/tex] or, as a decimal, 11.7.

Step-by-Step Explanation:

1. Use the distance formula and substitute the values of the two ordered pairs.

[tex]\sqrt{(2-(-4))^{2}+(2-(-8))^{2}}[/tex]...

2. Multiply -1 by -4.

[tex]\sqrt{(2+4)^2+(2-(-8))^2\\}[/tex] ...

3. Add 2 and 4.

4. Raise 6 to the power of 2.

[tex]\sqrt{36+(2-(-8))^2}[/tex]...

5. Multiply -1 by -8.

6. Add 2 and 8.

7. Raise 10 to the power of 2.

[tex]\sqrt{36+100}[/tex] ...

8. Add 100 and 36.

9. Rewrite 136 as 2² · 34.

10. After factoring 4 out of 136 and rewriting as ...  [tex]\sqrt{2^{2}(34)}[/tex], pull out terms from under the radical. It should look like this now: [tex]2\sqrt{34}[/tex]. That is your final answer!!

Hope that helps! Note: the unrounded decimal is 11.66190378.

(P.S. Can I have Brainliest please? Once someone else answers, of course...)

Answer:

I'd say the first one, it is most common for states to have four or fewer roller skating rinks.

Have a lovely day/night! <3

Answer: if you add 5 then you get 57

Step-by-step explanation: just add ang get the answer

Answer:

just add

Step-by-step explanation:

addd

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Answer:

5/2

5 : 2

5 to 2

Answer:

18 feet

Step-by-step explanation:

52 - 34 = 18

Answer:

18

Step-by-step explanation:

52 - 34 = 18 because she went  34 down so that will be a -34 and then she went 52 up and 52 is a positive number so it really is  negative -34 + 52 = 18

Answer: x=0

Step-by-step explanation: This is number 9

12=-4(-6x-3)

-4(-6x-3)=12

-4(-6x-3)/-4=12/-4

-6x-3=-3

-6x-3+3=-3+3

-6x/-6=0/-6

x=0

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Answer:

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Step-by-step explanation:

A bag of skittles contains only red, yellow, and green colors.

The respective ratios are 1:3:5 for those three colors.

We have

red: yellow: green

1:3:5

The sum of the proportion = 1 + 3+ 5 = 9

If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?

Hence,

Number of red skittles is calculated as:

1/9 × 36 skittles

= 4 skittles

Number of yellow skittles is calculated as:

3/9 × 36 skittles

= 12 skittles

Number of green skittles is calculated as:

5/9 × 36 skittles

= 20 skittles

Therefore, the number of

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

then plug in 2 for [tex]y[/tex].

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

multiply 3 · 2.

add 10 + 6.

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

Answer:

14 dollars.

Step-by-step explanation:

With annual interest rate, 5.25 interest rate is $14.00

Answer:

$968

Step-by-step explanation:

800 × 0.0525 × 4 = 168 (interest)

168 + 800 = 968 (total)

Answer:

x³- x²- 30x + 72

Step-by-step explanation:

this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)

hope this helps

Answer:

C

Step-by-step explanation:

Answer:it’s c

Step-by-step explanation:

Answer:

24 units^2. :)

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

Answer:

√{2563×2563}=√2563²=±2563

Answer:

A gotchu Just took the test got 100

Step-by-step explanation:

B

Answer:

The answer is B

Step-by-step explanation:

As it is very close to one because all the points are close together

Answer:

750 ft

Step-by-step explanation:

Answer:

6) a) y = −7/2 x , b) y = −1/2 x , c) y = −5/4 x , d) y = −17/10 x

Step-by-step explanation:

For question 5 it needs to have the input and output values or having a domain and range value. So it can't be solved.

(there's an error in this question)

As for question 6,

a) with coordinate (x,y) = (-2,7)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(-2,7) ➡️ (x2,y2) then,

m = (7-0/-2-0) = -7/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -7/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −7/2 (x-0)

If we simplify this, we simply get

y = −7/2 x ← This is our equation for coordinate (-2,7)

b) with coordinate (x,y) = (2,-1)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-1-0/2-0) = -1/2 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -1/2 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −1/2 (x-0)

If we simplify this, we simply get

y = −1/2 x ← This is our equation for coordinate (2,-1)

c) with coordinate (x,y) = (4,-5)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-5-0/4-0) = -5/4 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -5/4 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −5/4 (x-0)

If we simplify this, we simply get

y = −5/4 x ← This is our equation for coordinate (4,-5)

d) with coordinate (x,y) = (10,-17)

1. To find the equation of a line or gradient,

first find the slope via the formula: -> m = (y2-y1/x2-x1)

If we let (0,0) ➡️ (x1,y1) and

(2,-1) ➡️ (x2,y2) then,

m = (-17-0/10-0) = -17/10 ⬅️ This is the slope of the line/gradient

Now that we have found the slope we can find the equation via the point-slope formula:

(y−y1) = m(x−x1) ;

2. Substituting the slope = -17/10 for

m and any of the two coordinates given. I will use (0,0) be make things easier. We let (0,0) → (x1,y1)

Thus,

y−0 = −17/10 (x-0)

If we simplify this, we simply get

y = −17/10 x ← This is our equation for coordinate (10,-17)

You just literally mark the graph, you see the 1st points (2,12) go on the X axis to 2, then go up to 12 and mark that as a point. and continue with this tactic with the rest.

Answer:

I think this is correct. <3

Answer:

2 solutions

Step-by-step explanation: As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

Answer:

The minimum force required would be 50-N!

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

Answer:

15.4 I did this on delta math

It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

The formula for calculating the future value (FV) of an investment with continuous compounding is:

[tex]FV = Pe^{rt}[/tex]

Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).

In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:

[tex]700 = 350e^{0.045t}[/tex]

Dividing both sides by $350, we get:

[tex]2 = e^{0.045t}[/tex]

Taking the natural logarithm of both sides, we get:

[tex]ln(2) = ln\times e^{0.045t}[/tex]

Using the properties of logarithms, we can simplify this to:

ln(2) = 0.045t ln(e)

Since ln(e) = 1, we can simplify further to:

ln(2) = 0.045t

Finally, solving for t, we get:

t = ln(2) / 0.045 ≈ 15.4

Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

To know more about continuous compounding follow

https://brainly.com/question/14303868

#SPJ2

Answer:

The vertex is ( -6, 3)

Step-by-step explanation:

h(x) = |x+ 6| + 3

Inside the absolute value is the h or the x coordinate of the vertex

Outside is the k or the y value of the vertex

It is in the form

h(x) = |x-h| + k  where (h,k) is the vertex

h(x) = |x - -6| + 3

The vertex is ( -6, 3)

Answer:

Step-by-step explanation:

Given function:

This is the translation of f(x) = |x|,  6 units left and 3 units up

So the vertex is (-6, 3)

Correct choice is B