May I know this answer

51 is 33 1/3 of what number?

nevsk [136]

Answer:

$\boxed{\frac{153}{100}\:\:Or\:\:1.53}$

Step-by-step explanation:

Let the number be $n$ .

Then,

$33\frac{1}{3} \tmes n=51$

This implies that;

$\frac{100}{3} n=51$

We multiply both sides by $\frac{3}{100}$ to obtain;

$\frac{3}{100} \times \frac{100}{3}n=\frac{3}{100} \times 51$

$\Rightarrow n=\frac{3}{100} \times 51$

$\Rightarrow n=\frac{153}{100}$

Or

$\Rightarrow n=1.53$

5 0

3 years ago

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Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour

dalvyx [7]

Answer:

Step-by-step explanation:

Michael works for 25 hours

5 0

2 years ago

Read 2 more answers

The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

2 years ago

How do you find inverses

MrMuchimi

How To Find Inverses:

1. First, replace f(x) with y . ...

2. Replace every x with a y and replace every y with an x .

3. Solve the equation from Step 2 for y . ...

4. Replace y with f−1(x) f − 1 ( x ) . ...

5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

5 0

2 years ago

Read 2 more answers

Find the measure of Angle A. (include and explanation so I could do the rest on my own, preferably :)

castortr0y [4]

Answer:

13) Angle A is 30°

14) Angle A is 45°

15) Angle A is 40°

16) Angle A is 40.5°

Step-by-step explanation:

By the angle sum theorem for the interior angles of a triangle, we have;

13) 130° + 2·x + 3·x = 180°

∴ 2·x + 3·x = 180° - 130° = 50°

2·x + 3·x = 5·x = 50°

x = 50°/5 = 10°

∠A = 3·x = 3 × 10° = 30°

∠A = 30°

14) 3·x + 9 + 4·x + 9 + 78° = 180°

7·x + 18 + 78° = 180°

7·x = 180° - (18 + 78)° = 180° - 96° = 84°

x = 84°/7 = 12°

∠A = 3·x + 9 = 3 × 12° + 9 = 45°

∠A = 45°

15) 90° + x + 51 + x + 61 = 180°

∴ x + 51 + x + 61 = 180° - 90° = 90°

2·x + 112 = 90°

2·x = (90 - 112)° = -22°

x = -22°/2 = -11°

x = -11°

∠A = x + 51 = -11° + 51 = 40°

∠A = 40°

16) x + 79 + x + 49 + 70° = 180°

x + x = (180 - 70 - 79 - 48)° = -17°

2·x = -17°

x = -17°/2 = -8.5°

x = -8.5°

∠A = x + 49 = (-8.5 + 49)° = 40.5°

∠A = 40.5°.

3 0

2 years ago