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Westkost
1 month ago
7

The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions

Mathematics
1 answer:
Inessa [12.5K]1 month ago
6 0

Answer:

P = 2*(26+4y) + 4y

Upon solving for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we have:

150 = 12y

Thus, we arrive at:

y = \frac{150}{12}= 12.5

And for x, we determine:

x = 26 +4*12.5 = 76

This gives us a length of 76 and a width of 12.5.

Step-by-step explanation:

We are dealing with a rectangle. The formula for the perimeter is:

P= 2x+2y

Here, x denotes the length and y the width. The following conditions can be established:

x = 26 +4y

Substituting these values yields:

P = 2*(26+4y) + 4y

When we solve for y, we find:

202= 52 +8y +4y

202= 52 +12 y

By substitution, we obtain:

150 = 12y

Thus, we conclude:

y = \frac{150}{12}= 12.5

The length is found to be 76, while the width measures 12.5.

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The correct answer is C. 100
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1 month ago
L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.
AnnZ [12381]

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

16 = \frac{x + y + z + w}{4}

x + y + z + w = 64

Excluding Davide, the average age of the other three is 18. Therefore:

18 = \frac{x + y + z}{3}

x + y + z = 54

Substituting into the original equation:

x + y + z + w = 64

54 + w = 64

w = 10

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.

4 0
1 month ago
A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.
Leona [12618]

Answer:

                          π

V-foam = 4r³( 2 - ----- )

                             3

Step-by-step explanation:

Let r denote the radius of the sphere. The volume of the sphere is expressed as

V = (4/3)(π)(r³).

Next, understand that the cube's side length is 2r, hence the cube's volume is

V = (2r)³, which equals 8r³.

The volume of the foam is derived from the cube's volume subtracting that of the sphere:

V-foam = 8r³ - (4/3)(π)(r³). This can be simplified to

                          π

V-foam = 4r³( 2 - ----- )

                             3

5 0
2 months ago
out of fifty students,34 joined the journalism class and 25 joined robotics club.if 16 students joined both clubs,how many stude
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Answer:

Step-by-step explanation:

Overall students=50

35 -> j.

25 -> r.

16-> j.+r.

35-16=19 students joined j.

25-16=9 joined r.

50-19+9

50-28=22

The answer is 22

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3 0
1 month ago
If 65% of a number is 1,105, what is 82% of the number?
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To find the original number where 65% equals 1105:
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Calculating 82% of 1700:
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6 0
1 month ago
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