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3 years ago

14

Jen has 3 bags of pears. Each Bag has 5 pears. If Jen gives the same number of pears to 4 friends, how many pears will each frie

nd get?

2 answers:

elena-s [515]3 years ago

7 0

3bags x 5 pearls per bag=15 bags

15 / (4 friends+you)=5

15/5=3 pearls per friend.

Answer:3 pearls per person.

Aleksandr-060686 [28]3 years ago

4 0

Answer:

It is 3x5 is 15 the you divide 15 by 4 which is 3.75 per person

Step-by-step explanation:

3x5=15

15\4=3.75

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A rental company charges costumers a 14.75 fee plus $0.15 per smile to rent a moving van after returning the moving van a custom

kumpel [21]

Step-by-step explanation:

I guess, the question is, how many miles were driven ?

if that is the case, then

we need to deduct the basic fee of $14.75, as this would have been paid, even if they did not drive a single mile.

so, 50.45 - 14.75 = $35.70

that is the actual cost for the driven miles.

how many miles ?

well, how often do $0.15 fit into $35.70 ?

35.7 / 0.15 = 238 miles.

this customer had been driving the moving van for 238 miles.

8 0

2 years ago

What is the value of x?

Juliette [100K]

Answer:

x = 5 $\sqrt{7}$

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 16²

x² + 81 = 256 ( subtract 81 from both sides )

x² = 175 ( take the square root of both sides )

x = $\sqrt{175}$ = 5 $\sqrt{7}$ ≈ 13.23 units ( to 2 dec. places )

5 0

3 years ago

Read 2 more answers

At Mary's bakery chocolate chip cookies make up 45% of the total cookies Oatmeal Raisin cookies 25% of the total cookies there a

wolverine [178]

Answer:

1100 cookies

Step-by-step explanation:

There are 3 types of cookies, the first represents 45% of the total, the second 25% and the last type there are 330. We can pose the following equation:

0.45 * x + 0.25 * x + 330 = x

solving for x:

x - 0.45 * x - 0.25 * x = 330

0.30 * x = 330

x = 330 / 0.3

x = 1100

which means that there are a total of 1100 cookies

4 0

3 years ago

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, $b$ must be a natural number, which means that:

$1 + 2\cdot a\cdot c \ge 4$

$2\cdot a \cdot c \ge 3$

$a\cdot c \ge \frac{3}{2}$

But the lowest possible product made by two prime numbers is $2^{2} = 4$ . Hence, $a\cdot c \ge 4$ .

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Example: $a = 2$ , $c = 2$

$b = \sqrt{1 + 2\cdot (2)\cdot (2)}$

$b = 3$

4 0

3 years ago

Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the

german

Answer:

Unknown

Step-by-step explanation:

What is the question? You have the information listed but you forgot to ask the question.

4 0

2 years ago