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AleksAgata [21]
3 years ago
15

Irene is going to read a 216-page book. If she reads at a rate of 18 pages per day, how many days will it take her to read 13 of

the book?
Mathematics
1 answer:
garri49 [273]3 years ago
6 0
Calculate total pages: 

(216 pages per book)(13 books) = 2,808 total pages

Now divide by pages per day: Irene reads 18 pages a day

2,808 total pages / 18 pages per day = 156 days to read 13 books 
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Entre Juan, Pedro, María y Luis tienen 62 cartas. Pedro tiene un tercio de las cartas de Juan. María tiene 3 cartas menos que Ju
fenix001 [56]

Answer:

Luis has 30 cards

Step-by-step explanation:

To solve this problem, we need to setup a system of equations.

If we call the amount of cards Juan has "J", Pedro "P", Maria "M" and Luis "L", we have that:

J + P + M + L = 62

P = J/3

M = J - 3

L = 2J

Substituting P, M and L in the first equation, we have:

J + J/3 + J - 3 + 2J = 62

13J/3 = 62 + 3

13J = 65 * 3

J = 15 cards

The amount of cards Luis has is:

L = 2J = 2 * 15 = 30 cards

8 0
3 years ago
A square has an area of 81x square cm. What is the perimeter of the square ?
Fudgin [204]

Answer:

The perimeter of the square is 36\sqrt{x}\ cm

Step-by-step explanation:

step 1

Find the length side of the square

we know that

The area of a square is equal to

A=b^{2}

where

b is the length side of the square

we have

A=81x\ cm^{2}

substitute and solve for b

81x=b^{2}

square root both sides

b=9\sqrt{x}\ cm

step 2

Find the perimeter of the square

we know that

The perimeter of the square is equal to

P=4b

we have

b=9\sqrt{x}\ cm

substitute

P=(4)9\sqrt{x}

P=36\sqrt{x}\ cm

6 0
3 years ago
Determine whether the given measures can be the lengths of the sides of a triangle. write yes or no. explain. 9.2, 14.5, 17.1
Sergio039 [100]
If the triangle has a angle of 90°, you can solved this exercise by applying the Pythagorean Theorem, which is:

 h²=a²+b²
 h=√(a²+b²)

 h: It is the hypotenuse (The opposite side of the right angle and the longest side of the triangle).

 a and b: They are the legs (The sides that form the right angle).

 The result of h=√(a²+b²), should be 17.1 (The longest side given in the problem). So, let's substitute the values of the legs into the Pythagorean equation:

 h=√(a²+b²)
 h=√((9.2)²+(14.5)²)
 h=17.1

 Therefore, the answer is:

 Yes, the given measures can be the lengths of the sides of a triangle.
3 0
3 years ago
Read 2 more answers
Draw an angle in standard position whose terminal side contains the point
kvasek [131]

Answer:

The distance of the point from the origin = 9.29 units.

Step-by-step explanation:

Given point:

(7,-6)

The angle lies such that the terminal side of the angle contains the given point.

To draw the angle and find the distance from the origin to the given point.

Solution:

The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.

So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.

We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.

Applying Pythagorean theorem.

Hypotenuse^2=Shorter\ Leg^2+Shortest\ Leg^2

Hypotenuse^2 = (7)^2+(-6)^2

Hypotenuse^2=49+36\\Hypotenuse^2=85

Taking square root both sides :

\sqrt{Hypotenuse^2}=\sqrt{85}

Hypotenuse = 9.29\ units

Thus, the distance of the point from the origin = 9.29 units.

The figure is shown below.

5 0
3 years ago
Make a table of ordered pairs for the equation.   y= 1 2 x−3<br><br> PLEASE HELP !!
Hunter-Best [27]
All you need to do is plug in some x values and find the correspoding y value
when x=0, y=-3
when x=1, y=9
when x=2, y=21
when x=-1, y=-15
6 0
3 years ago
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