Sarah has $240 and she gives her mum $80 what fraction of the money does Sarah have left give the fraction in its simplest form

Answer:

x = 140

Step-by-step explanation:

40 * 2 + 2x = 360

80 + 2x = 360

2x = 280

x = 140

Answer:

average rate of change of h(x) on −1 ≤ x ≤ 5 is then 5

Step-by-step explanation:

                                            change in h(x)

average rate of change = ------------------------

                                            change in x

Calculate h(x) at the interval endpoints:  -1 ≤ x ≤ 5, and then subtract h(5) from h(-1):

h(5) = (5)² + 5 + 4 = 34

h(-1) = (-1)² -1 + 4 = 4

change in h(x) = 34 - 4 = 30

change in x:  5 - (-1) = 6                                                 30

average rate of change of h(x) on −1≤x≤5 is then  ------------- = 5

                                                                                         6

Answer:

y = 1%

Step-by-step explanation:

From the formula;

Interest; i = PRT/100

P = £5000

R = 10%

After 1 year, we have;

i = 5000 × 10 × 1/100 = £500

Amount is now; 5000 + 500 = £5500

Since interest rate is now y% every year after the first one, then;

After 2nd year;

i = (5500 × y × 1)/100

i = 55y

So amount is now;

5500 + 55y

After 3rd year, interest is now;

i = (5500 + 55y) × y × 1/100

i = 55 + 0.55y²

Amount is now;

(5500 + 55y) + (55 + 0.55y²)

Since she has £5610.55 after 3 years, then;

(5500 + 55y) + (55 + 0.55y²) = 5610.55

0.55y² + 55y + 5555 - 5610.55 = 0

0.55y² + 55y - 55.55 = 0

From quadratic formula, y = 1%

Answer:

Correct Answer

Step-by-step explanation:

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Answer:

the second one and the fourth one

Step-by-step explanation:

Let me break this up.

Note: (f o g)(2) = f(g(2)).

Note: g(2) = (2, 2) means when x is 2 y is 2.

In other words, g(2) is 2.

We know that f(g(2)) = f(2).

You can see that f(2) = -3. This is given in the point (2, -3).

So, f(g(2)) = -3.

Done.

Given:

Height of a cone is 30cm, its slant height is 34 cm.

To find:

The radius of the cone.

Solution:

Using the Pythagoras theorem, the relation between Height, radius and slant height is

[tex]r^2+h^2=l^2[/tex]

[tex]r^2=l^2-h^2[/tex]

Where, r is radius, h is height and l is the slant height.

Putting the given values, we get

[tex]r^2=(34)^2-(30)^2[/tex]

[tex]r^2=1156-900[/tex]

[tex]r^2=256[/tex]

Taking square root on both sides.

[tex]r=\pm\sqrt{256}[/tex]

[tex]r=\pm 16[/tex]

Radius cannot be negative. So, r=16 cm.

Therefore, the correct option is b.

Answer:

18

Step-by-step explanation:

Answer:

x^2y^4

Step-by-step explanation:

8 divided by 8 = 1

x divided by x^2 = x

y^3 divided by y = y^2

(xy^2)^2 = x^2y^4

Answer: (1, 7)

Step-by-step explanation:

When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)

(7, 1) to (1, 7)

Answer:

28/3

Step-by-step explanation:

Answer:

28/3

Step-by-step explanation:

1/3 * 28 = 28/3

I hope this helps xx

Answer:

Step-by-step explanation:

The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...

Answer:

Sqrt 245

Step-by-step explanation:

That's the answer

According to Pythagoras' Theorem

[tex]h^{2} = a^2 + b^2[/tex]

[tex]h^{2}[/tex]  [tex]= 7^{2} + 14^2[/tex]

[tex]h^{2}[/tex] = 49 + 196

h = [tex]\sqrt{245}[/tex]

According to diagram x = sqrt 245

Pythagorean hypothesis, the notable mathematical hypothesis that the amount of the squares on the legs of a right triangle is equivalent to the square on the hypotenuse (the side inverse the right point) — or, in recognizable logarithmic documentation, a2 + b2 = c2.

Learn more about Pythagoras' Theorem here

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Answer:

Peter has 6 dollars.

Step-by-step explanation:

The ratio is 1:3, meaning Jane has 3x more money than Peter. Or, Peter has 1/3 as much money as Jane. You know that Jane has 12 dollars more than Peter so you can think of scenarios. Because it is a 1/3 the answer for Peters money has to be 1/3 of Janes, so Peter has 6 dollars, and Jane has 12 more, so Jane has 18 dollars.

Answer:

x = 6

Step-by-step explanation:

sin 30° = 3/x

0.5 = 3/x

.5x = 3

x = 3/.5

x = 6

The indicated side of the right-angled triangle is 6.

A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

Given:

The triangle is a right-angled triangle.

So, we know,

SinФ = perpendicular / hypotenuse.

And here, perpendicular = 3 unit

And hypotenuse = x unit

Substituting the values,

Sin30° = 3/x

1/2 = 3/x

x = 6

Therefore, the value of x is 6.

To learn more about the right-angled triangle;

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Step-by-step explanation:

(9x2 - 2x +7) +(4x2+7x +2)

9x2 - 2x +7 +4x2 +7x +2

13x2 +5x +9

Answer:

A.  13x2 + 5x + 9

Step-by-step explanation:

use math-way it helps with problems like this

The equivalent expression for the given expression 36x + 24 is 2 (18x + 12). Option D

Algebraic expressions are defined as expressions made of mathematical operation like;

These expressions also consist of terms, coefficients, variables, factors and constants.

Factorization can be defined as a mathematical method of writing a number or mathematical element as a product of several other factors.

Note also that equivalent expressions have the s

Given the expression;

36x + 24

Factorize common term, we have

2(18x + 12)

Thus, the equivalent expression is 2(18x + 12)

Learn more about equivalent expressions here:

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Answer:

Every 10 seconds

Step-by-step explanation:

The bob crosses its midline whenever cos(2π(t-2)/20)=0.

Since cosθ=0 when θ=±π/2 + 2πn, we can find then the bob crosses its midline by solving:

2π(t-2)/20 = ±π/2 + 2πn

t-2 = ±5+20n

The solutions are when t = -3, 7, 17, 27, 37, ...

Therefore, the bob passes its midline every 10 seconds.

Answer:

1

Step-by-step explanation:

Answer:

17.88

Step-by-step explanation:

18- 12/ 100=

447/24=

then simplify

Answer:

20.16

Step-by-step explanation:- 12% × 18 =

- 12 ÷ 100 × 18 =

- 12 × 18 ÷ 100 =

- 216 ÷ 100 =

- 2.16

Answer:

13/2, 6 5/9, 6.99, 6.992

Step-by-step explanation:

Answer:

(bd×ac)÷2

108÷2

54cm^2

Step-by-step explanation:

hope u like the ans

Answer:

54cm

Step-by-step explanation:

AC = 9cm

BD = 12 cm

Area of rhombus = 1/2 × AC × BD

= 1/2× 9×12

= 9× 6

= 54 cm

Answer:

A, C, D I think

Step-by-step explanation:

Hope this helps and feel free to answer my recent question ! :)

Step-by-step explanation:

(5x + 1 ) + 14x + (4x + 5)= 180 [ sum of all angles of a triangle is 180]

Answer:

18/720 =2.5% that is the answer

Answer:

2.5%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

18/720 * 100% = 2.5%

Answer:

The teacher disliked her average student because he was like all the other students???

Answer:5.2 x 10-1

Step-by-step explanation:hope i could help ;)

Answer: 10

Step-by-step explanation:

Answer:

(-8, 10)

Step-by-step explanation:

A P E X