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Helga [31]
3 years ago
10

Please help !! Will mark brainliest answer

Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

\frac{3}{4} × 16 = 12

x = 12

OR: Set up a proportion:

\frac{24}{16} × \frac{18}{x}

<em>cross-multiply</em>

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

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Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
A right cylinder has a radius of 2 units and height of 5 units. What is the volume of the cylinder? Round to the nearest tenth.
Free_Kalibri [48]

Hi,

The volume of the cylinder is :

V = π × r^2 × h

V = 3,142 × (2)^2 × 5

V = 62, 8319 cm^3

π : Pi => 3,142

r : radius of the cylinder (2 units).

h : height of the cylinder (5 units).

The base of the cylinder is a circle , so to calculate the area we have to use the formula : area = π × r^2. And to find the volume , we have to multiply the area by the height.

•It was nice to help you, Bellalocc!

8 0
3 years ago
Solve the inequality: 4k-(5+3k)&gt;2
Elanso [62]

Answer:

k > 7

Step-by-step explanation:

Given the inequality statement:  4k - (5 + 3k) > 2

Distribute -1 into (5 + 3k):

4k -5 - 3k > 2

Next,  add like terms:

k - 5 > 2

Add 5 to both sides of the inequality:

k - 5 + 5 > 2 + 5

k > 7

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
2 years ago
Read 2 more answers
The function C(t) = 400 + 30t models the number of classrooms, C. in the town of Sirap, t years from
maks197457 [2]

Answer:

1) S(t) = C(t) × D(t)

2) S(t) = (400 + 30t)(25 + t)

Step-by-step explanation:

The function C(t) = 400 + 30t ........... (1), models the number of classrooms, C. in the town of Sirap, t years from  now.  

The function D(t) = 25 + t ......... (2) models the number of students per classroom, D, t years from now.

Then if S(t) represents the number of students in Sirap's school system t years from now, then, we can write the relation  

1) S(t) = C(t) × D(t) (Answer)

2) Hence, the formula of S(t) in terms if t is given by  

S(t) = (400 + 30t)(25 + t) (Answer)

7 0
3 years ago
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Frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month. Write an equation that Frank can solve to d
Dmitrij [34]

Since, Frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month.

Now, we have to determine the amount of money still he has to save (y) in relation to the number of months (x) in which he has saved money.

Let 'y' be the amount of money he still have to svae.

Let 'x' be the number of months he has saved money.

Total money saved yet = $75 \times x= $75x

He has to save $600 in total.

So, Money he still have to save = 600 - 75x

So, y=600-75x is the required equation.

4 0
3 years ago
Read 2 more answers
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