Can I please have some HELP!!! (Brainllest)

Ray Of Light [21]

Answer:

x = 14

Step-by-step explanation:

In the triangle O is the centroid.

Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.

So, from the given diagram we can write

$\frac{3x}{2x - 7} = \frac{2}{1}$

⇒ 3x = 4x - 14

⇒ x = 14 (Answer)

3 0

3 years ago

Marco purchased a large box of comic books for $300. He gave 15 of the comic books to his brother and then sold the rest on an i

Yuri [45]

Answer: There are 75 books.

Price of each book = $4.

Step-by-step explanation:

Let x = Number of books in the box.

Then as per given,

Cost of x books = $300

Cost of one book = $\$(\dfrac{300}x)$

Books left after giving 15 of them = x-15

Selling price of (x-15) books= $330

Selling price of one book = $\$(\dfrac{330}{x-15})$

Profit on each book= $1.50

Profit = selling price - cost price

$\Rightarrow 1.50=\dfrac{330}{x-15}-\dfrac{300}{x}\\\\\Rightarrow\ 1.50=\dfrac{330(x)-300(x-15)}{x(x-15)}\\\\\Rightarrow\ 1.50=\dfrac{330x-300x+4500}{x^2-15x}\\\\\Rightarrow\ 1.50(x^2-15x)=30x+4500\\\\\Rightarrow\ 1.50x^2-22.5x=30x+4500\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ 1.50x^2-52.5x-4500=0\\\\\Rightarrow\ x^2-25x-3000=0\ \ [\text{divide by 1.5}]$

$\Rightarrow (x+40)(x-75)=0\\\\\Rightarrow\ x=-40,75$

Number of books cannot be negative.

So, there are 75 books.

Price of each book = $\dfrac{300}{75}=\$4$

So price of each book = $4.

5 0

3 years ago

Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. How much will he e

Snezhnost [94]

Answer:

Step-by-step explanation:

Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be

8.2x + 7.7y

Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is

(8.2 × 3) + (7.7 × 7)

= 24.8 + 53.9

= $78.7

4 0

3 years ago

A bookstore makes a profit of $2.50 on each book they sell, and $0.75 on each magazine they sell. One week, the store sold x boo

marin [14]

Answer:

Total books sold=146 books

Total magazines sold=114 magazines

Step-by-step explanation:

Equation 1

Total weekly profit=(Profit for each magazine sold×Number of magazines sold)+(Profit for each book sold×Number of books sold)

where;

Total weekly profit=$450

Profit from each magazine sold=$0.75

Number of magazines sold=y

profit from each book sold=$2.50

Number of books sold=x

Replacing;

450=(0.75×y)+(2.5×x)

0.75y+2.5x=450..... Equation 1

Equation 2

Total number of publications sold=Total number of books sold+Total number of magazines sold

where;

Total number of publications sold=260

Total number of books sold=x

Total number of magazines sold=y

x+y=260... Equation 2

Combine equation 1 and 2 and solve;

1(2.5x+0.75y=450)>>>>>>>>2.5x+0.75y=450

2.5(x+y=260) >>>>>>>>2.5x+2.5y=650

Subtract equation 1 from 2

(2.5x-2.5x)+(2.5y-0.75y)=(650-450)

1.75y=200

y=200/1.75

y=114

Replacing the value for y in equation 2

x+114=260

x=260-114=146

Total books sold=146 books

Total magazines sold=114 magazines

8 0

3 years ago

The Bayer family just left the local pet store with Rover, their new family dog. The pet store owner told the Bayer family that

anyanavicka [17]

Answer:

A. Complete table below

B. Graph is attached below

C. y = 7x - 10

D. 60 pounds.

Step-by-step explanation:

We are given that, Bayer would grow at an average rate of 7 pounds per month.

So, in order to complete the table, <em>we will add 7 to the weights column</em>.

Part A: Thus, we get the following table.

Age, in months 2, 3, 4, 5, 6, 7, 8

Weight, in pounds 4, 11, 18, 25, 32, 39, 46.

Part B: Since, we have the ordered pairs (x,y) given by,

(2,4), (3,11), (4,18), (5,25), (6,32), (7,39) and (8,46).

The graph is shown below.

Part C: Taking any two pairs say (2,4) and (3,11).

We get the slope is, $\frac{11-4}{3-2}$ i.e. slope is 7.

Then, y = mx + b gives, 4 = 7×2 + b i.e. b = 4-14 i.e. b = -10.

Hence, the linear model is given by 'y=7x-10', where x is the age(in months) and y is the weight(in pounds).

Part D: Now, we want to find the weight when Bayer is one year old.

Since, we have that, Bayer is already two months old.

So, we need to find weight when Bayer is 10 months old.

i.e. y=7x-10 ⇒ y = 7×10-10 ⇒ y = 70-10 ⇒ y=60

Hence, Bayer will be 60 pounds when he is one year orld.

4 0

3 years ago