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4 years ago

Can you Please help me?

Mathematics

1 answer:

Alenkasestr [34]4 years ago

8 0

Answer:

131 and 49

Step-by-step explanation:

Supplementary angle means 180° when all angles are added together.

First angle: (x + 82)

Second angle: x

(x + 82) + x = 180

2x + 82 = 180

2x = 98

x = 49

First angle: 49 + 82 = 131°

Second angle: 49°

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Vita wants to center a towel bar on her door that is 27 1/2 inches wide. She determines that the distance from each end of the t

timurjin [86]

Answer:

The equation is $x+18 =\frac{55}{2}$ ..

The length of the towel bar is $\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$ ..

Step-by-step explanation:

Given,

Length of the door = $27\frac{1}{2}\ in$

we can rewrite $27\frac{1}{2}\ in$ as $\frac{55}{2}\ in$ .

We have to find out the length of the towel bar.

Let the length of towel bar be 'x'

`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.

So we can say that the length of the towel bar plus from each end of the towel bar to the end of the door plus from each end of the towel bar to the end of the door is equal to length of door.

framing in equation form, we get;

$x+9+9= \frac{55}{2}\\\\x+18 =\frac{55}{2}$

Hence The equation is $x+18 =\frac{55}{2}$ .

Now we solve the equation we get;

Subtracting both side by 18 we get;

$x+18-18=\frac{55}{2}-18\\\\x=\frac{55}{2}-18$

Now we will make the denominator common we get;

$x=\frac{55}{2} -\frac{18\times2}2= \frac{55}{2} -\frac{36}2 = \frac{55-36}{2}=\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$

Hence The length of the towel bar is $\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in$ .

6 0

4 years ago

Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parr

Tcecarenko [31]

Answer:

The least possible number of coins the Pirate has = 81

Step-by-step explanation:

Given:

Pirate Jack has equal number of gold and silver coins.

When the pirate splits the coins into 7 equal piles he has 4 coins left.

When the pirate splits the coins into 11 equal piles he has 4 coins left.

Every pile has at least 1 coin.

To find the least possible number of coins Pirate Jack has.

Solution:

In order to find the least possible number of coins pirate Jack has, we must find the least common multiple of the number of piles the coins are split into.

So, the least common multiple of 7 and 11 can be found by listing the multiples.

$7= 7,14,21,28...............,77$

$11=11,22,33,44,55,66,77$

So, we find the least common multiple of 7 and 11 is 77.

Number of coins left = 4

Total number of coins the pirate must have = $77+4 =81$

We can check the answer by dividing 81 by 7 and 11. I both cases we get remainder = 4.

So, the least possible number of coins the pirate has = 81

6 0

4 years ago

Please help me with 3-15 and please explain

Tresset [83]

3. -17 * 3 = -51
6. 117/ -1 = -117
9. 63/ -21 = -3
12. (-3) * {7 * -2)} = -3 * -14 = 42
15. -15 * -3/ -9 = -45/-9 = 5

Hope this helps

4 0

4 years ago

A population has the following characteristics.(a) A total of 25% of the population survives the first year. Of that 25%, 75% su

zaharov [31]

Answer:

After 1st year, the age distribution will be

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

Step-by-step explanation:

A population has the following characteristics.

A total of 25% of the population survives the first year. Of that 25%, 75% survives the second year.

The average number of offspring for each member of the population is 3 the first year, 5 the second year, and 3 the third year.

From the above information, we can construct a transition age matrix.

$A = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right]$

The population now consists of 144 members in each of the three age classes.

From the above information, we can construct the current age matrix.

$x = \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

How many members will there be in each age class in 1 year?

After 1st year, the age distribution will be

$x_1 = A \cdot x$

$x_1 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}144\\144\\144\end{array}\right]$

The matrix multiplication is possible since the number of columns of first matrix is equal to the number of rows of second matrix.

$x_1 = \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

After 2nd year, the age distribution will be

$x_2 = A \cdot x_1$

$x_2 = \left[\begin{array}{ccc}3&5&3\\0.25&0&0\\0&0.75&0\end{array}\right] \times \left[\begin{array}{ccc}1584\\36\\108\end{array}\right]$

$x_2 = \left[\begin{array}{ccc}5256\\396\\27\end{array}\right]$

4 0

4 years ago

(06.09A) WORTH 25 POINTS

dmitriy555 [2]

The expression can be used to determine the final cost of the cards will be 1.08 (0.87) y. Then the correct option is B.

<h3>What is the percentage?</h3>

The quantity of anything is stated as though it were a fraction of a hundred.

Jason purchased a pack of game cards that were on sale for 13% off.

The sales tax in his county is 8%.

Let y represent the original price of the cards.

Then the expression can be used to determine the final cost of the cards will be

⇒ y (1 - 0.13) (1 + 0.08)

⇒ y (0.87) (1.08)

⇒ 1.08 (0.87) y

Then the correct option is B.

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ1

4 0

2 years ago