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3 years ago

gavin and jim win some money and share it in the ratio 4:5. gavin get £20. home much did they win in total

Mathematics

2 answers:

Scilla [17]3 years ago

3 0

Answer:

Step-by-step explanation:

FromTheMoon [43]3 years ago

3 0

Answer:

£45

Step-by-step explanation:

Gavin's share of £20 is 4 parts

Divide by 4 to find the value of one part of the ratio.

£20 ÷ 4 = £5← value of 1 part, thus

5 parts = 5 × £5 = £25

Thus Jim got £25

Hence total won = £20 + £25 = £45

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Let f(x)=9−8x‾‾‾‾‾‾√ .Which of the following decompositions of f(x)=p(q(x)) into a pair of functions p(x) (the outside function)

zvonat [6]

Answer:

C, D and E

Step-by-step explanation:

Assuming

f(x) = √(9−8x)

and the options are:

A. p(x) = √(-8x) and q(x)=9+x

B. p(x) = √(9+x) and q(x)=8x

C. p(x) = √(-x) and q(x)=8x−9

D. p(x)=√(9−x) and q(x)=8x

E. p(x)=√x and q(x)=9−8x

F. p(x)=9−8x and q(x)=√x

G. All of the above

H. None of the above

Substituting in f(x)=p(q(x)) we get:

A. √(-8(9+x)) = √(-72 - 8x)

B. √(9+(8x)) = √(9+8x)

C. √(-(8x−9 )) = √(-8x + 9)

D. √(9−(8x)) = √(9−8x)

E. √(9−8x )

F. 9−8(√x ) = 9 - 8√x

8 0

3 years ago

A car travels 150km on 12 L of gasonline. How many liters are there of gasoline needed to travel 500km

coldgirl [10]

150 = 12
150 +150 = 300 which = 24
150 + 150 + 150 = 450 which =36

the remaining 50 is 12 ÷ 3, so 4. 36 + 4 = 40.

therefore, 40 L of gasoline are needed to go 500km

4 0

4 years ago

I need the volume for 9,11,and 13

mihalych1998 [28]

Hey there!

<h3>Question 1</h3>

Let's use 3.14 for pi during this. It'll make it a lot easier.

The volume for a cone is $\pi r^{2} \frac{h}{3}$ .

The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.

17.6 ÷ 2 = 8.8

The height of this cone is 23.4 inches.

Plug the values into the equation.

$\pi 8.8^{2} \frac{23.4}{3}$

Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.

$3.14 * 77.44 * 7.8$

Multiply the numbers together.

<u>The volume of this cone is approximately 1896.66 cubic inches.</u>

<h3>Question 2</h3>

Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.

Formula for finding the area of a trapezoid is $a = \frac{1}{2} h(b_{1} +b_{2} )$

The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.

$a = \frac{1}{2} 24.7(10 +34 )$

Add 10 and 34, then multiply it by 24.7 and 1/2.

a = 543.4

Multiply that value by 19, which is the depth of the figure.

<u>The volume of the prism is 10324.6 cubic feet.</u>

<h3>Question 3</h3>

The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.

The formula for the area of an equilateral triangle, which is the base, is $a = \frac{\sqrt{3} }{4} s^{2}$

The length of the side is 12, so we can square that to get 144.

Now multiply that by $\frac{\sqrt{3} }{4}$ to get the area of the base.

The area of the base is about 62.35 square meters.

The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.

v = 1/3 x 62.35 x 20

Multiply the numbers together to get the volume.

<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>

Hope this helps!

3 0

3 years ago

An acute triangle has a side measuring 10 cm and 16 cm. The legnth of the third side is unknown. Which best describes the range

svlad2 [7]

it is from the range of 6<x<26. I hope this helps. Could I possibly get brainliest?

5 0

3 years ago

Read 2 more answers

Expand <br><br> 2y (2y + 8 )

Andrews [41]

Hello There!

2y x 2y = 4y²
2y x 8 = 16y.
Put it together and you get the answer of:
4y² + 16y.

Hope This Helps You!
Good Luck :)

- Hannah ❤

7 0

4 years ago