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Westkost [7]
4 years ago
11

Write the following in exponential form 10,000x10

Mathematics
1 answer:
EleoNora [17]4 years ago
7 0

Answer:

1.0 x 10⁵

Step-by-step explanation:

10,000 • 10 = 100,000

= 1.0 x 10⁵

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Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
2 years ago
Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
Elden [556K]

Given:

x, y and z are integers.

To prove:

If 3x-y+5z is even, then at least one of x, y or z is even.

Solution:

We know that,

Product of two odd integers is always odd.          ...(i)

Difference of two odd integers is always even.          ...(ii)

Sum of an even integer and an odd integer is odd.      ...(iii)

Let as assume x, y and z all are odd, then 3x-y+5z is even.

3x is always odd.          [Using (i)]

5z is always odd.          [Using (i)]

3x-y is always even.       [Using (ii)]

(3x-y)+5z is always odd.       [Using (iii)]

3x-y+5z is always odd.

So, out assumption is incorrect.

Thus, at least one of x, y or z is even.

Hence proved.

4 0
3 years ago
The points (1,5), (6,20), and (k,41) all lie on the same line. Find k.
ohaa [14]

Answer:

12

Step-by-step explanation:

Same line = slope constant

(20-5)/(6-1) = (41-5)/(k-1)

3 = 36/k

k = 36/3

k = 12

3 0
4 years ago
At crescent high school, 108 students plan on going to an in-state college and 63 students plan on going out of state college wh
natta225 [31]

Answer:

12/7

Step-by-step explanation:

To set up a ratio of "thing 1" to "thing 2", build a fraction with "thing 1" on top (numerator) and "thing 2" on the bottom (denominator).

The ratio of in-state students to out-of-state students is \frac{108}{63} and this can be simplified ("reduced") by dividing both numbers by 9 to get the fraction 12/7.

5 0
3 years ago
F(x) = 3x - 5 for x &lt; -5
Maurinko [17]
Búscalo en m a t h w a y hay tiene que aparecer
7 0
3 years ago
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