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IceJOKER [234]
3 years ago
9

If a boy and a half can eat a hot dog and a half, in a minute and a half, how many hot dogs can six boys eat in six minutes?

Mathematics
1 answer:
Yanka [14]3 years ago
3 0
SIx boys can eat seven (7) hotdogs in six (6) minutes.
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-x + 4y = 16<br> How do you solve for x
Vika [28.1K]

Answer:

Step-by-step explanation:

-x+4y=16

-x=16-4y

x=(16/-1)-(4y/-1)

x=-16+4y

8 0
2 years ago
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How to find the perimeter ratio of two similar triangles
Free_Kalibri [48]

Answer:

of their perimeters is equal to the ratio of their corresponding side lengths. ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

5 0
3 years ago
The sum of three consecutive even numbers is 552. What is the 1st number?
wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0
2 years ago
Read 2 more answers
The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b
bazaltina [42]

Answer:

75.1^{\circ}

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

H' = H-h = 452-1.75=450.25 m

Now we notice that d and H' are the two sides of a right triangle, in which the angle of elevation is \theta. Therefore, we can write the following relationship:

tan \theta = \frac{H'}{d}

since

H' represents the side of the triangle opposite to \theta

d represents the side of the triangle adjacent to \theta

Solving the equation for \theta, we find the angle of elevation:

\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}

3 0
2 years ago
A baker uses a coffee mug with a diameter of 8 cm 8 cm8, start text, space, c, m, end text to cut out circular cookies from a bi
horsena [70]

Answer:

Step-by-step explanation:

The diameter of the top of the coffee mug which the baker uses to cut out circular cookies from the big sheet of cookie dough is 8 cm.

Radius of the coffee mug is diameter of the coffee mug/2.

Radius of the coffee mug

= 8/2 = 4cm

The area of the circular mug is expressed as

Area = πr^2

Where π is a constant whose value is 3.14

Therefore,

Area of the top of the circular mug = 3.14 × 4^2 = 3.14 × 16 = 50.24 cm^2

The area of the top of the circular cup is the same as the area of each cookie. Therefore,

The area of each cookie is 50.24 cm^2

3 0
2 years ago
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