All categories

2 years ago

Choose correct way to rewrite 56% as a decimal number.

Mathematics

2 answers:

disa [49]2 years ago

5 0

You would write 56% as 0.56.

denis-greek [22]2 years ago

5 0

Answer:

The correct answer is: [B]: " 0.56 " .

Step-by-step explanation:

Note:

" 56% = " $(\frac{56}{100})$ " ;

= (56) ÷ (100) = 0.56 ;

→ which corresponds to: " Answer choice: [B]: " 0.56 " .

______________________________________________

You might be interested in

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

Find the missing side length of the right triangle shown. Round to the nearest tenth, if

Delvig [45]

Answer:

? = 26 in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

? = $\sqrt{676}$ = 26

4 0

2 years ago

Read 2 more answers

Someone pls help me I turn this in today the answer is there I just need to show work pls help me

dolphi86 [110]

Hello and Good Morning/Afternoon

Let's tale this problem step-by-step:

What does the problem want:

$\hookrightarrow \text{the unemployment compensation}$

Employment compensation =55% of the average of the last 26-week salary

$\hookrightarrow \text{Average of Natalia's salary} = (\text{all the salaries added up}) / (\text{number of weeks})\\\hookrightarrow \text{Average of Natalia's salary} = 18940 / 26 = 728.46 \text{ (Rounded down)}$

⇒ 55% of that average

$\hookrightarrow \frac{55}{100} *728.46 = 400.65$

Answer: $400.65

Hope that helps!

#LearnwithBrainly

5 0

1 year ago

Rectangle WXYZ was dilated using the rule D, z 12/5

murzikaleks [220]

Answer: C, 12 units on edge

Step-by-step explanation:

7 0

3 years ago

Which property is used in the problem below? 2(x+4)=2x+8

frutty [35]

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

7 0

2 years ago