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madreJ [45]
3 years ago
15

Expressions equivalent 10(2 + 3)-8.3 hurry extra points!

Mathematics
1 answer:
ankoles [38]3 years ago
3 0

Answer:

41.7

Step-by-step explanation:

10(2 + 3) - 8.3 \\  \\  = 10 (5) - 8.3 \\  \\ =  50 - 8.3 \\  \\  = 41.7

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A map has a scale of 1:200000 How far is it from Belfast to Larne in Km if the distance on the map is 7.8cm
vivado [14]

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

6 0
3 years ago
There are 16 colored pencils and 8 colored pencils will fit in a box. How many boxes will the 16 pencils fill?
Gekata [30.6K]

Given:

Total number of colored pencils = 16

Colored pencils fit in a box = 8

To find:

The number of boxed that will fit the 16 pencils.

Solution:

According to the question 8 colored pencils will fit in a box. So, we have

8 pencils = 1 box

Multiply both sides by 2.

2×8 pencils = 2×1 box

16 pencils = 2 box

Therefore, 2 boxes are required to fit the 16 colored pencils.

4 0
3 years ago
A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

Find the value of s

s=r \theta

substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

6 0
4 years ago
What is the slope of a line that contains the points (-8,7) and (-4,-5)?
Pani-rosa [81]

Answer:

-3

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

   = (-5-7)/(-4- -8)

  = (-12)/(-4+8)

  =-12/4

  = -3

7 0
3 years ago
Which of the following values are solutions to the inequality -10_>6x-4
qaws [65]

Answer:

3rd option

Step-by-step explanation:

- 10 ≥ 6x - 4 ( add 4 to both sides )

- 6 ≥ 6x , then

6x ≤ - 6 ( divide both sides by 6 )

x ≤ - 1

Thus x = - 1 is a solution to the inequality

6 0
3 years ago
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