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aleksley [76]
3 years ago
5

Diego is making a large mural. He draws a hexagon with a perimeter of 10.5 meters. Each side of the hexagon is the same length.

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

Part A: 6a = 10.5 and a = 1.75 meters.

Part B: $3.87.

Step-by-step explanation:

Part A: Diego draws a hexagon with a perimeter of 10.5 meters and each side of the hexagon is the same length.

Now, the hexagon has 6 sides and if each side is of length 'a' meters, then the equation that models the situation is  

6a = 10.5 ......... (1) (Answer)

⇒ a = 1.75 meters. (Answer)

Part B:

The total cost of supplies to paint the mural is $38.70. Diego and 9 friends divide the cost equally.

Hence, the total cost will be divided into 10 persons.

Therefore, each person will get \frac{38.70}{10} = 3.87 dollars. (Answer)

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Caitlin has 4 and 3/4 lb of place use 1 1/10 pound to make a cup and another 2 pounds to make a jar how many pounds are left
g100num [7]
We know that
4 3/4---------> (4*4+3)/4----------> 19/4
1 1/10-----------> (10*1+1)/10----> 11/10

[pounds left]=[(19/4)-(11/10)-(2)]----> (10*19-4*11-40*2)/40
=(190-44-80)/40-------> 66/40---------> 1.65 pounds
1.65-----> 1 65/100--------> 1 13/20 pounds

the answer is 1.65 pounds  (1 13/20 pounds)


7 0
3 years ago
How can I simplify this expression using only positive exponents ?
belka [17]
\dfrac{4}{2}\cdot\dfrac{r^3}{r^5}=2\cdot\dfrac{1}{r^2}\\\\=\dfrac{2}{r^2}
5 0
3 years ago
HELP PLEASE
Georgia [21]

Answer:

\huge\boxed{\sf No}

Step-by-step explanation:

Evan spent 20 hours doing homework last week

25 hours were spent this week.

<u>Let's see what 125% of 20 equals:</u>

= (125 / 100) * 20

= (125 / 10) * 2

= 125 / 5

= 25 hours

But,

<u>It is written that Evan thought he spent 125 % more than the last week which means:</u>

= (125% of 20) + 20

= 25 + 20

= 45 hours

He should've said that he has given 25% more time than the last week.

(<u>Note that:</u> 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
7 0
3 years ago
A theater has main floor and box seating. The main floor seat 14 people in each row another 20 people can sit in the box seats w
aivan3 [116]
14x+20+= the number of people that can be seated
4 0
3 years ago
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.
Wittaler [7]

<span>First we calculate z using the formula:

z = (x - μ)/σ</span>

Where:

x = our variable, 10

μ = mean, 8

σ = standard dev, 2

Substituting known values:<span>
z = (10 - 8)/2
z = 2/2
z = 1

Using the tables of the normal distribution to find the p-value with z = 1

p = 0.8413

Since we want "greater than 10”, we need to subtract the probability from 1 therefore

p* = 1 - 0.8413 = <span>0.1587</span></span>

6 0
3 years ago
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