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3 years ago

Janice has $64 left in her checking account. If she writes a check for $87, what

Mathematics

2 answers:

rewona [7]3 years ago

8 0

Answer:

-23

Step-by-step explanation:

64-87= -23

She would have a negative balance

lys-0071 [83]3 years ago

4 0

Answer:

$64-$87= -23

Step-by-step explanation:

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What is the first step in solving: 14 + 2x - 3 = 43?

ch4aika [34]

D. Subtract 14

hope this helps !!!!

3 0

3 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

3 0

3 years ago

A distribution of values is normal with a mean of 99.5 and a standard deviation of 83.2. find p26, which is the score separating

Lynna [10]

A suitable calculator shows the score of 46.0 separates the bottom 26% from the top 74%.

5 0

3 years ago

emily read 24 fiction books and 2 nonfiction books. what is the ratio of the number of fiction books she read to the total numbe

Elis [28]

Answer:

24:26 or 12:13

Step-by-step explanation:

Ratios can be better understood if you read 24:26 as: Emily read 24 fiction books for every 26 books.

The question tells us Emily read 24 fiction books and 2 nonfiction books. We know she read 24 fiction books so that is the first part of our ratio. Now, they want to know how many total books did she read. Well, she read 24 fiction and 2 nonfiction. 24+2 = 26. 26 books total! So now we have the second part of our ratio and end up with the ratio of 24:26. But now, we have to simplify it. Simplifying ratios is like simplyfing fractions. You have to find their greatest common factor. The greatest common factor of 24 and 26 is 2. Now you divide both number by their greatest common factor (2). Finally, we end up with the ratio of 12:13.

Greatest common factor help: https://www.mathsisfun.com/greatest-common-factor.html

7 0

3 years ago

To make 1 1/2 dozen muffins, a recipe uses 3 1/2 cups of flour. How many cups of flour are needed for every dozen muffins made?

ch4aika [34]

Ratio and proportion

convert to inproper fracton first

1 and 1/2=1+1/2=2/2+1/2=3/2

3 and 1/2=3+1/2=6/2+1/2=7/2

3/2dozen=7/2cups
times 2 both sides
3dozen=7cups
divide by 3 both sides
1dozen=7/3cups=2 and 1/3 cup

5 0

3 years ago

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