On Wednesday, a local hamburger shop sold a combined total of 512 hamburgers and cheeseburgers. The number of

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

Hey there! I'm happy to help!

Let's call our hamburgers h and our cheeseburgers c and set up a system of equations to solve.

c+h=512

c=3h

Let's plug this value of c into the first equation to solve for h.

3h+h=512

4h=512

Divide both sides by 4.

h=128

Therefore, 128 hamburgers were sold on Wednesday.

Have a wonderful day! :D

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Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.

zavuch27 [327]

Answer:

The smallest power of 10 that will exceed $M$ is $10^{6}$ .

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

$x.y \times 10^{n}$ , $\forall \,x,y\in \mathbb{N}$

Where:

$x$ - Integer part, formed by a digit, which is of the highest order.

$y$ - Decimal part, formed by a digit onwards.

$n$ - Power grade.

The smallest power of 10 that will exceed M is $10^{n+1}$

If $M = 118,526.65902$ , then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of $M$ in scientific notation is: