Amy can run the 150 meter dash in 50 seconds. John can run 1200 meters in 400 seconds. How fast does Amy run. How fast does john run?

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

Answer:

$105.22

Step-by-step explanation:

Answer:

Simplified improper fraction.

Step-by-step explanation:

A simplified proper fraction would not have a numerator bigger than the denominator.

An improper fraction would have a numerator bigger than the denominator that can be simplified.

We see here that the expression isn't proper as it can be simplified further. Therefore, it is improper.

Answer: Simplified improper fraction.

Step-by-step explanation: I got this correct on a worksheet

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

Image showing the arena ticket prices is missing, so i have attached it.

Answer:

$10000 more money was spent when the tickets first went on sale than after the first 2 weeks

Step-by-step explanation:

We are told that when the full season tickets first went on sale, that 2000 full season tickets were sold for section N.

Now, from the area ticket prices table attached, we can see that full season tickets for Section N costs $20

Thus, amount of money spent when the tickets first went on sale = 2000 × 20 = $40000

We are told that 2 weeks after the tickets first went on sale, they sold 1500 tickets. Thus, amount spent after 2 weeks release = 1500 × 20 = $30000

Difference in amount spent at the beginning and after 2 weeks = $40000 - $30000 = $10000

Thus, $10000 more money was spent when the tickets first went on sale than after the first 2 weeks

Answer:

it would be 10 soccer balls

Step-by-step explanation:

10 every week if it was constant (because they could've sold more one week then less the next) but the genuine answer is 10 soccer balls :)

Answer:

$60

Step-by-step explanation:

You have to divide 180 by 3 to get the cost per hour :)

Answer:

just subtract i think and you will get

Step-by-step explanation:

13.6 - 12 = 1.6

The width of the photograph will be 6.4 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches.

Then the width of the photograph is calculated as,

13.6² = 12² + w²

184.96 = 144 + w²

w² = 40.96

w = 6.4 inches

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ3

Answer: B

Step-by-step explanation:

Answer: 315 miles

Step-by-step explanation:

42x2=84

124.95

-84.00

_______

40.95

40.95 ➗ 0.13 = 315 miles

Answer:

3,32,6,56

Step-by-step explanation:

Answer:

what is your question here??

Correct options read:

A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

C) A career is like “a building block,” and a job is like “a castle or a tower.”

D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”

Answer:

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Explanation:

Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.

Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").

Answer:

B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Step-by-step explanation:

Answer:

15 hats

Step-by-step explanation:

First off, we need to divide 34.98 by 2 because it is 50 percent off.

We get 17.49 dollars.

262.35/ 17.49 because we need to find out how many hats Nate bought.

We get 15 hats

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Answer:

factor x+7 (so (x+7)(x+7)) and then solve like a normal equation

Answer:

5% solution needed = 5.7 liters

40% solution needed = 4.3 liters

Step-by-step explanation:

Let the amount of 5% solution is needed = x liters

And the amount of 40% solution is needed = y liters

Concentration of the final solution = 20%

5x + 40y = 20(x + y)

x + 8y = 4(x + y)

4y = 3x

x = [tex]\frac{4}{3}y[/tex] -------(1)

Total volume of the final solution needed = 10 liters

Therefore, x + y = 10 --------(2)

Now substitute the value of x from equation (1) to equation (2).

[tex]\frac{4}{3}y+y=10[/tex]

[tex]\frac{7}{3}y=10[/tex]

y = 4.3 liters

From equation (2),

x + 4.3 = 10

x = 5.7 liters

Answer: 2x= 40 so 2x20=40

Step-by-step explanation:every triangle has to add up to 180 digrees

65+75+40=180

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

Answer:

t and r are parallels

t and p are perpendicular

Step-by-step explanation:

r and t have the same coordinates 4,1 but one has a negative 4 and 1

t and p have a dot on the same spot

Given:

Consider the below figure attached with this question.

To find:

The equation of the graph in slope-intercept form.

Solution:

From the graph it is clear that, the line passes through (0,450) and (3,350).

So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-450=\dfrac{350-450}{3-0}(x-0)[/tex]

[tex]y-450=\dfrac{-100}{3}x[/tex]

Add 450 on both sides.

[tex]y=-\dfrac{100}{3}x+450[/tex]

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

donno

6 + 1 8 = 2 - 6 4

Distribute.

Answer:

x= -20.5

Step-by-step explanation:

6x + 18 = 2x -64

-18 from both sides

6x = 2x - 82

-2x from both sides

4x = -82

divide by 4 on both sides

x= -20.5

Answer:

acceleration = -4m/s^2

Step-by-step explanation:

Aceleration = (Final speed - Initial speed)/time

In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4

acceleration = -4m/s^2

Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25

Answer:

2 gallons

Step-by-step explanation:

Can you post one with a picture of the input/output tables? I don't see any.

Answer:

h(-5) = 10

Step-by-step explanation:

h(x) = -4x - 10

Let x = -5

h(-5) = -4*-5 - 10

         = 20 -10

         = 10

Answer:

x = $4

1. $10

2. $8

3. $6

Step-by-step explanation:

Let

Michael's doubled pocket money = 2x

He spends $3

Balance = 2x - 3

His sister's pocket money = $6

She spends $1

Balance = $6 - $1

= $5

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8/2

= 4

x = $4

After making the payments, they both together have $10

After Michael's pocket money was doubled, he has 2x

= 2(4)

= $8

His sister's has $6 before making the payments