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2 years ago

4 lbs 7 oz; oz conversions ratios thing

Mathematics

1 answer:

bogdanovich [222]2 years ago

4 0

Answer:

4 lb 7 oz = 71 oz

Step-by-step explanation:

Do you need to convert 4 lb 7 oz into oz?

If so, do the following.

Obviously, 7 oz is already in oz, so all you need to do is convert 4 lb into oz and then add 7 oz.

1 lb = 16 oz

For every lb, there are 16 oz. To convert lb to oz, multiply the number of lb by 16.

4 lb = 4 * 16 oz = 64 oz

4 lb 7 oz = 4 lb + 7 oz = 64 oz + 7 oz = 71 oz

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3. A car starts a trip with 20 gallons of gas in its tank. The car traveled at an average

Helga [31]

Answer:

32.5%

Step-by-step explanation:

first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is

65*3=195

During those 195 miles the car used 1 gallon for every 30 miles which means it used 6.5 gallons of its tank

195/30=6.5

6.5 gallons is 32.5% of 20 gallons

6.5/20=0.325

0.325 * 100 = 32.5%

3 0

3 years ago

Use determinants to find out if the matrix is invertible.

wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

$A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]$

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

$|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0$

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0

2 years ago

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base 6.4 i

shusha [124]

The surface area of the square pyramid will be 78.08 square inches.

<h3>What is surface area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

<h3 />

Given that:-

Sara purchased a porcelain sculpture that is in the shape of a square pyramid. The slant height is 6.1 inches and the base is 6.4 inches. The surface area will be.

The surface area of the square pyramid will be calculated by the formula:-

$SA = P\times\dfrac{l}{2}$