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Alexxandr [17]
3 years ago
6

Juanita runs every third day and swims every fifth day. If Juanita runs and swims today,in how many days will she run and swim a

gain on the same day? (please show your work)
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

Juanita will run and swim again on the same day in 15 days from today

Step-by-step explanation:

Hi

As Juanita runs every third day and nothing every fifth day. We can see that 3 and 5 are prime numbers, so they have no common factors between them.

Then we see their multiples

3=3,6,9,12,15,.....\\5=5,10,15,.....

Therefore 15 is the minimum multiple common, Juanita will run and swim again on the same day in 15 days from today, and every 15 days, so on.

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a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s
vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

4 0
3 years ago
What is the answer (X^2)(X)(4)
enot [183]

Answer:

Simplified: 4X^3

Step-by-step explanation:

Simplify the expression.

3 0
2 years ago
A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points
seraphim [82]

Answer:

Number of edges in the resulting solid = 12

Step-by-step explanation:

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.

We are supposed to find the number of edges that are in the resulting solid.

In some corners , if we take out inch from both, then there would be nothing remaining.

The two faces along the height would be removed and it will become sharpened.

So the number of edges = 4 + 4 + 4 = 12

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4 years ago
Evaluate f(t)=-2t2+ 1 for f(-3).
podryga [215]

Answer:

7

Step-by-step explanation:

First, plug-in f(-3) into t in the function:

f(-3)=-2(-3) +1

Second, multiply -2 and -3 to get 6:

f(-3)=-2(-3)+1⇒f(-3)=6+1

Third, add 6 and 1 to get your answer:

f(-3)= 6+1⇒f(-3)=7

3 0
3 years ago
Plzzzz help !!!! 15 points
ArbitrLikvidat [17]

Answer:

1. 17,20

2. 40,80

Step-by-step explanation:

1. 5+3=8

8+3=11

11+3=14

14+3=17

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pattern is +3

2. 2.5*2=5

5*2=10

10*2=20

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40*2=80

pattern is *2

6 0
3 years ago
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