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3 years ago

The sum of the ages of John and Mary is 32. Four years ago, John was twice

Mathematics

2 answers:

SpyIntel [72]3 years ago

5 0

john: 56

Mary: 24

(Tbh I'm probably really wrong, I'm so sorry )

Zielflug [23.3K]3 years ago

3 0

Answer: john is 20 and mary is 12

Step-by-step explanation:

J + M = 32

J - 4 = 2(M-4)

solve

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2 2/3 yards = how many feet

PolarNik [594]

2 2/3 yards = 8 feet

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3 years ago

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Solve: (4p^3) x (-3p)

Firdavs [7]

Answer:

-12p ^4

Step-by-step explanation:

4p^3 * -3p

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p^3 *p

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therefore

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4 years ago

Two or more points are what if they lie on the same line?

Maurinko [17]

Two lines are guaranteed to be coplanar if they: Lie in the same plane. Lie on the same line (are collinear) and Lie in the same plane. ... Collinear points are two or more points that lie on the same ____.

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3 years ago

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The County Fair has to 2 ticket options.Option 1 has an entry fee of $5 and charges $0.65 per ride per ride. Option 2 has an ent

Ugo [173]

For 25 tickets total cost of option one and option two to be the same.

Step-by-step explanation:

Let us assume the total number of rides = m

for which BOTH options cost same.

Case: 1

The cost of entry fee = $5

The cost per ride = $0.65

So, the cost of m rides = m x ( Cost of 1 ride )

= m x ($0.65 ) = 0.65 m

Cost of purchasing m tickets in first ride = Entry Fee + Per ticket cost

= 5 +0.65 m ..... (1)

Case: 2

The cost of entry fee = $10

The cost per ride = $0.45

So, the cost of m rides = m x ( Cost of 1 ride )

= m x ($0.45 ) = 0.45 m

Cost of purchasing m tickets in second ride = Entry Fee + Per ticket cost

= 10 +0.45 m ..... (2)

Now, equating (1) and (2), we get:

5 +0.65 m = 10 +0.45 m

or, 0.20 m = 5

or, m = 5/0.20 = 25

or, m = 25

Hence, for 25 tickets total cost of option one and option two to be the same.

5 0

4 years ago

The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?

marissa [1.9K]

To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
$D_{AB} = \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}
$
$x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3$
$D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}$
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
$D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}$
$D_{AB}= \sqrt{(3)^2+(-1)^2}$
$D_{AB}= \sqrt{9+1}$
$D_{AB}= \sqrt{10}$

Now, the formula for the perimeter of a pentagon is
P = 5×side length

So...
Perimeter = 5× $\sqrt{10}$

The answer is (2)

8 0

4 years ago