14540(squared by2) x 35=?

Heidi spent a total of $60 on clothing items she bought 2 pairs of shorts for 10 dollars each she bought some t-shirts for 4 eac

lisov135 [29]

Answer:

2 pair shorts and for t-shirts and sandals possible cases are

1 t-shirt and 3 sandals or

4 t-shirts and 2 sandals or

7 t-shirts and 1 sandals.

Step-by-step explanation:

Total money spent by Heidi on the clothing items is $60.

Now , she bought 2 pairs of short for $10 each , so, the money spent on shorts will be $20.

Thus money for other stuffs should be $40.

Let she bought x t-shirts for $4 each , thus money spent on t-shirts will be 4x dollars.

Also let she bought y sandals for $12 each , so money spent on sandals will be 12y dollars .

Thus , 4x + 12y = 40. (since 40 dollars were remaining for other clothing

items)

So, x + 3y = 10.

So, the possible cases are 1 t-shirt and 3 sandals or

4 t-shirts and 2 sandals or

7 t-shirts and 1 sandals.

7 0

3 years ago

Convert the following decimals to percent.<br> 1) 4.75 =<br> 2) 0.99 = <br> 3) 10.4 =

Scorpion4ik [409]

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

4.75
0.99
10.4

<h3>Conversion of Decimals to Percentage</h3>

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

$4.75 * 100 = 475 \%$

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

$0.99 * 100 = 99 \%$

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

$10.4 * 100 = 1040\%$

Learn more on conversion of decimal value to percentage here;

brainly.com/question/870657

brainly.com/question/13060022

6 0

2 years ago

PLEASE ANSWER FOR BRAINLIEST!!

e-lub [12.9K]

Answer:

mFG = 67r ( Where r is the radius of the circle)

∠ECF = 67°

Step-by-step explanation:

i) m FG

Join CG

∠GCF=67°

(As FG=ED and equal chords subtend equal angle at center)

Now The length of the minor arc is given by the formula

m arc FG =

$\frac {C}{2 \pi} \times 2 \pi r$

∠C=67

m arc FG = $\frac {67}{2 \pi} \times 2 \pi r$

m arc FG = 67r

Where r is the radius of the circle.

2. ∠ECF = 67°

It is because of the rule which says that equal chords subtend equal angle at center

DE = EF

Hence ∠DCE = ∠ECF

7 0

3 years ago

Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$