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Kisachek [45]
3 years ago
14

Pleas help -2(a)=a-10/4

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0

Answer:

0.8333333333333333 (repeating)

Step-by-step explanation:

Well first the point of this problem is to get "a" by it self so.

-2a = a - 10/4

remove the fraction by multiplying 4 on both sides.

-8a = 4a - 10

now move 4a over to the other side to isolate the 10.

-12a = -10

now divide to get a by it self

-10/-12 = 0.8333333 (repeating)

**Remember a negative divided by a negative is a positive.

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Diego is thinking of two positive numbers. He says, 'If we triple the first number and double the second number, the sum is 34.'
UNO [17]

1st number: 0

2nd number: 17

Answer

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

8 0
3 years ago
Kiyo used to wire fencing to form a border around a circular region in his backyard. If the radius of the circular region was 5
kakasveta [241]

Answer:

The total length of the border is 31.4\ yd

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ yd

assume

\pi=3.14

substitute

C=2(3.14)(5)=31.4\ yd

6 0
3 years ago
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT
katrin2010 [14]
We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³

volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³

<span>the volume of the space NOT occupied by the tennis balls=36.82-24.54
</span><span>the volume of the space NOT occupied by the tennis balls=12.28 in</span>³

the answer is
12.3 in³
8 0
3 years ago
Derive the formula for the area of a sector, and then use it to choose all that are correct.
Marina CMI [18]

Answer:

Part A) A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) option 1,option 4

Step-by-step explanation:

Part A) Derive the formula for the area of a sector

we know that

The area of circle is equal to

A=\pi r^{2}

The area of circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector  A_s  by a central angle of ∅ degrees

\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}

A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) Verify each case

case 1) we have

radius = 5 cm

angle = 120°

area = 26.2 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}

A_s=26.2\ cm^2

so

The given value of area is correct

case 2) we have

radius = 4 cm

angle = 105°

area = 16.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}

A_s=14.7\ cm^2

so

The given value of area is not correct

case 3) we have

radius = 6 cm

angle = 85°

area = 23.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}

A_s=26.7\ cm^2

so

The given value of area is not correct

case 4) we have

radius = 7

angle = 75°

area = 32.1 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}

A_s=32.1\ cm^2

so

The given value of area is correct

5 0
3 years ago
If 7=42,6=30,5=20 then 3=? find it's value​
AleksandrR [38]

Answer:

6

Step-by-step explanation:

7=42 is 7*6

6=30 is 6*5

5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2

5 0
3 years ago
Read 2 more answers
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