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Readme [11.4K]
3 years ago
14

Which fraction is equivalent to 8/30

Mathematics
2 answers:
umka21 [38]3 years ago
3 0
<span>0.266666 is the result of 12/45 while 0.266666, therefore, yes, 8/30 is equivalent to 12/45. Is there anything else you need? !</span>
dsp733 years ago
3 0
8/30= 4/15
divided numerator and denominator by 2

hope this helps
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Every month, Edmund saves some money and puts the money into a bag. The bag now contains some $2, $5 and $10 notes with the tota
Readme [11.4K]

Answer:

186

Step-by-step explanation:

2x+10(312)+58(5)=3782

2x+3410=3782

2x=372

x=186

6 0
3 years ago
Hey!
noname [10]

Answer:

A. Cylinder + cone

<u>Volume is the sum of volumes:</u>

  • V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
  • V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

<u>Surface area of cone:</u>

  • A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

<u>Surface area of cylinder minus bases:</u>

  • A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

<u>Total surface area:</u>

  • 678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

<u>Volume:</u>

  • V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
  • V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

<u>Surface area of pyramid:</u>

  • A = a² + 2al = 8² + 2*8*10 = 224 cm²

<u>Surface area of cube minus bases:</u>

  • A = 4a² = 4(8²) = 256 cm²

<u>Total surface area:</u>

  • A = 224 + 256 = 480 cm²
5 0
3 years ago
Question (in need of help)
mr Goodwill [35]
<h3><u>Required</u><u> Answer</u><u>:</u><u>-</u></h3>

This is an right angle ∆ and the side lengths containing a right angle are 9 and 11.

By Pythagoras theoram,

{p}^{2}  +  {b}^{2}  =  {h}^{2}

where p is the perpendicular, b is the base and h is the hypotenuse.

Plugging the values,

{9}^{2}  +  {11}^{2}  =  {h}^{2}

Then,

h =  \sqrt{ {9}^{2}  +  {11}^{2} }

h = 14.12(approx.)

<h3><u>Hence:</u><u>-</u></h3>

The x of the right angled ∆ = <u>1</u><u>4</u><u>.</u><u>1</u><u>2</u>

6 0
3 years ago
Read 2 more answers
What is the quotient? StartFraction a minus 3 Over 7 EndFraction divided by StartFraction 3 minus a Over 21 EndFraction
Licemer1 [7]

Answer:

The quotient is -3

Step-by-step explanation:

we have

\frac{a-3}{7}:\frac{3-a}{21}

Multiply in cross

\frac{(a-3)21}{(3-a)7}

Simplify

Remember that

\frac{21}{7}=3

substitute

\frac{(a-3)3}{(3-a)}

we know that

(3-a)=-(a-3)

substitute

\frac{(a-3)3}{-(a-3)}=-3

5 0
3 years ago
Read 2 more answers
Pleaseeee helppp!!!
tigry1 [53]

Answer:

(a) Brenda saved $23.50.

(b) The rate at which Brenda is saving money is<u> 0.5 dollars per day</u>.

(c) money saved on J(14) is <u>$27.</u>

Step-by-step explanation:

Given:

Initial amount in the jar is, J(0)=\$20

Amount in the jar after a week or 7 days is, J(7)=\$23.50

Brenda is saving money at a linear rate.

(a)

Now, money at the end of the week is the total money saved by Brenda.

Therefore, total money saved by Brenda is equal to the money saved at the end of the week. So,

Total money saved by Brenda = J(7)=\$23.50

(b)

The rate of change of a function is given as:

Rate=\frac{f(x_2)-f(x_1)}{x_2-x_1}

Here, x_1=0,x_2=7, f(x_1)=J(0),f(x_2)=J(7)

Therefore, the rate at which Brenda saves money is given as:

Rate=\frac{J(7)-J(0)}{7-0}\\Rate=\frac{23.50-20}{7}\\Rate=\frac{3.5}{7}=0.5\ dollars/day

Therefore, the rate at which Brenda is saving money is<u> </u>0.5 dollars per day.

(c)

A linear function is of the form f(x)=mx+b, where 'm' is the rate and 'b' is the initial value of the function.

Therefore, the linear function for the money saved by Brenda can be written as:

J(x)=(Rate)x+J(0)\\J(x)=0.5x+20

Now, J(14) is given by plugging in 14 for 'x' in the above expression. So,

J(14)=0.5\times 14+20\\J(14)=7+20=\$27

Therefore, money saved on J(14) is $27.

4 0
3 years ago
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