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Oliga [24]
2 years ago
9

You need a shelf for a small space in your house, so you make a measurement with your meter stick and head to the store. Once th

ere, you find that the dimension of the shelves you want is given in cm. If your space measured 0.8 m, and the shelves at the store measure 30 cm, answer the following questions: 1) How many meters wide is the shelf you want to buy? 2) Will it fit in your house? yes no
Mathematics
1 answer:
DochEvi [55]2 years ago
6 0

Answer:

1. 0.3 m

2. yes

Step-by-step explanation:

The computation is shown below:

Given that

Measurement of space = 0.8m

measurement of the shelves = 30 cm = 0.3 m as 1 m = 100 cm

So for 30 cm it would be

= 0.30 ÷ 100

= 0.3 m

Based on the above information,

1. The number of meters wide for the shelf to buy is 0.3 m

2 And yes it is fitted in the house

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An Exhibitor is selling decorative wreaths at an arts and craft show. The net profit P in dollars from the sales of the Wreaths
Svetradugi [14.3K]

<u>Given</u>:

An Exhibitor is selling decorative wreaths at an arts and craft show.

The net profit P in dollars from the sales of the Wreaths is given by P(n)=0.75n-50 , where N is the number of wreaths sold.

We need to determine the number of wreaths sold to earn a net profit of $100.

<u>Number of wreaths sold:</u>

The number of wreaths sold to earn a profit of $100 can be determined by substituting P(n) = 100 in the equation P(n)=0.75n-50, we get;

100=0.75n-50

150=0.75n

\frac{150}{0.75}=n

200=n

Thus, the number of wreaths sold is 200.

5 0
2 years ago
Find the sum (3.2+4x)+(18.25+6x)=
tatiyna

Answer:    -2.145

Step-by-step explanation:

(3.2+4x)+(18.25+6x)=

Simplifying

(3.2 + 4x) + (18.25 + 6x) = 0

Remove parenthesis around (3.2 + 4x)

3.2 + 4x + (18.25 + 6x) = 0

Remove parenthesis around (18.25 + 6x)

3.2 + 4x + 18.25 + 6x = 0

Reorder the terms:

3.2 + 18.25 + 4x + 6x = 0

Combine like terms: 3.2 + 18.25 = 21.45

21.45 + 4x + 6x = 0

Combine like terms: 4x + 6x = 10x

21.45 + 10x = 0

Solving

21.45 + 10x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21.45' to each side of the equation.

21.45 + -21.45 + 10x = 0 + -21.45

Combine like terms: 21.45 + -21.45 = 0

0 + 10x = 0 + -21.45

10x = 0 + -21.45

Combine like terms: 0 + -21.45 = -21.45

10x = -21.45

Divide each side by '10'.

x = -2.145

Simplifying

x = -2.145

8 0
2 years ago
Read 2 more answers
Find the first partial derivative:<br><br> f(x, y) = y^5 -3xy
Romashka-Z-Leto [24]
Partial derivative is derivative over only 1 variable.
here we have 2 variables so it depends on which variable you want to make partial derivative.

case 1. 
df/dx = -3y

case 2
df/dy = 5y^4 - 3x
8 0
2 years ago
On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar
KatRina [158]

Answer:

TRUE OPTIONS ARE:

<em>"The temperature increased until 4:00 p.m. "</em>

<em>"The temperature decreased after 6:00 p.m. "</em>

<em>"The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m."</em>

Step-by-step explanation:

<em>graph attached and complete question below:</em>

<em>Which statements are true about the temperatures Luis  recorded on the graph? Check all that apply. </em>

  • <em>The temperature increased until 4:00 p.m. </em>
  • <em>The temperature was not recorded between 4:00 p.m.  and 6:00 p.m. </em>
  • <em>The temperature decreased after 6:00 p.m. </em>
  • <em>The temperature increased and then decreased before  holding constant. </em>
  • <em>The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.</em>

<em />

Until 1600 hours, the graph increases, so we can say temperature increased until 4.00 pm (FIRST OPTION TRUE).

From 1600 to 1800 hours (4 - 6pm), the temperature stayed same (horizontal line). This doesn't mean the temperature wasn't recorded. (2nd OPTION FALSE).

After 1800 hours (6pm), the line goes downward, so temperature decreased after 6 pm. (3rd OPTION TRUE).

If you look at the temperature graph, we can see temperature increased, then increased more, then constant, then decreased. Thus the 4th option isnt true. (4th OPTION FALSE).

Before 12, the increase isn't as sharp as after 12. After 12 temperature increase has more slope, so this increase is more. (5th OPTION TRUE).

7 0
2 years ago
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KATRIN_1 [288]
The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)



The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5

The y-intercept of (0, 2) is 2.

The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:

h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2


<span>Answer: The function f has the greatest y-intercept.


</span>
7 0
2 years ago
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