These two area models represent 2/3 and 6/9 . Choose the equation that shows why 2/3 and 6/9 are equivalent.

netineya [11]

Answer:

x = 40

Step-by-step explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

$\frac{24}{24 - 15} = \frac{x}{x - 25}$

$\frac{24}{9} = \frac{x}{x - 25}$

Cross multiply

$24(x - 25) = 9(x)$

$24x - 600 = 9x$

Subtract 24x from each side

$- 600 = 9x - 24x$

$- 600 = -15x$

Divide both sides by -15

$40 = x$

x = 40

3 0

2 years ago

It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it ta

GREYUIT [131]

Answer:

10 km/h

Step-by-step explanation:

I'm not really sure about this but no ones answering your question and I wanna help.

So basically to calculate the average speed you need to divide the distance travelled by time taken

But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km

Now that we have the time and distance all we have to do is find the average speed.

Average Speed = distance ÷ time

So 150 ÷ 15 = 10 km/h

3 0

3 years ago

Mr.Baker is making a box using all of a 48-inch strip of oak. the box will be 14 inches wide. how long will the box be?

blsea [12.9K]

The length of the box made by Mr. Baker is 10-inch

Mr. Baker has strip of 48- inch long oak, by this strip he is making the rectangle box of width 14-inch.

<h3>What is a rectangle?</h3>

The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.

As Mr. Baker has a strip that is 48-inch long and he made a rectangle box with it.

The width of the box = 14 inches
now the length of the box = (total length of the strip - 2* width of the box)/2
⇒ length of the box = (48 - 2*14)/2
⇒ length of the box = 10 inches

Thus the Mr. Baker made the box which is 10 inches long.

learn more about rectangles here:
brainly.com/question/15019502

#SPJ1

7 0

2 years ago

United Blood Services is a blood bank that serves more than 500 hospitals in 18 states. According to their website, a person wit

Anna11 [10]

Answer:

a) 0.06 = 6% probability that a person has both type O blood and the Rh- factor.

b) 0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.

Step-by-step explanation:

I am going to solve this question treating these events as Venn probabilities.

I am going to say that:

Event A: Person has type A blood.

Event B: Person has Rh- factor.

43% of people have type O blood

This means that $P(A) = 0.43$

15% of people have Rh- factor

This means that $P(B) = 0.15$

52% of people have type O or Rh- factor.

This means that $P(A \cup B) = 0.52$

a. Find the probability that a person has both type O blood and the Rh- factor.

This is

$P(A \cap B) = P(A) + P(B) - P(A \cup B)$

With what we have

$P(A \cap B) = 0.43 + 0.15 - 0.52 = 0.06$

0.06 = 6% probability that a person has both type O blood and the Rh- factor.

b. Find the probability that a person does NOT have both type O blood and the Rh- factor.

1 - 0.06 = 0.94

0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.

6 0

2 years ago

HELP DUE IN 10 MINUTES!!<br><br> Solve for x.<br><br> −2(4x+4) - 3x - 2 = 34

Andrej [43]

Answer:

$- 2(4x + 4) - 3x - 2 = 34 \\ \\ - 8x - 8 - 3x - 2 = 34 \\ \\ - 8x - 3x = 34 + 8 + 2 \\ \\ - 11x = 34 + 8 + 2 \\ \\ - 11x = 44 \\ \\ x = - \frac{44}{11} \\ \\ x = - 4$

5 0

2 years ago