What is the length of ab

Jeremiah received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14

hram777 [196]

Jeremiah got $65 on birthday and spent some money on 3 video games and was left with $14.

He purchased 3 video games.

Let the cost one one video game be v.

The cost of each video game is same

So the cost of 3 video games is 3v.

Also he is left with $14 after paying for three games.

Hence

3v + 14 = 65

Subtracting 14 from both sides

3v + 14 -14 = 65-14

3v = 51

Dividing by 3 on both sides

v = 51/3

v = 17

Hence the cost of each video game is $17

5 0

3 years ago

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A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i

Marrrta [24]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

$A_{base} = s^{2}$

$A_{base} = (6 in)^{2}$

$A_{base} = 36 in^{2}$

To calculate the area of a lateral face, find the area of a triangle.

$A_{lateral} = \frac{bh}{2}$

$A_{lateral} = \frac{(6 in)(9 in)}{2}$

$A_{lateral} = \frac{54 in^{2}}{2}$

$A_{lateral} = 27 in^{2}$

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

3 0

3 years ago

Describe how to transform:

Anna71 [15]

Answer:

$x^\frac{35}{6}$

Step-by-step explanation:

The expression to transform is:

$(\sqrt[6]{x^5})^7$

Let's work first on the inside of the parenthesis.

Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:

$\sqrt[n]{a} = a^{\frac{1}{n}}$

Therefore $\sqrt[6]{a} = a^{\frac{1}{6}}$

Now let's replace $a$ with $x^{5}$ which is the algebraic form we are given inside the 6th root:

$\sqrt[6]{x^5} = (x^5)^{\frac{1}{6}}$

Now use the property that tells us how to proceed when we have "exponent of an exponent":

$(a^n)^m= a^{n*m}$

Therefore we get: $(x^5)^{\frac{1}{6}}=x^{\frac{5}{6}}}$

Finally remember that this expression was raised to the power 7, therefore:

$[tex](\sqrt[6]{x^5})^7=(x^\frac{5}{6})^7=x^\frac{35}{6}$ [/tex]

An use again the property for the exponent of a exponent:

8 0

3 years ago

A motel clerk counts his $1 and $10 bills at the end of the day. He finds that he has a total of 48 bills having a combined mo

Orlov [11]

15 10 dollar bills
33 1 dollar bills

7 0

3 years ago

Carlos is Arranging books on shelves.he has 32 novels and 24 autobiographies.if Carlos must place all the books on shelves, what

malfutka [58]

Answer:

there isnt enough information to answer the question.

Step-by-step explanation:

4 0

3 years ago

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