Question 7

In a village, there was an epidemic and the population decreased by 10%. If there were only 1800 people left in the village, wha

tester [92]

$\bold{\boxed{\huge{\blue{\underline{Answer }}}}}$

$\bold{\underline{ Given :- }}$

$\sf{The\: population\: is\: decreased \:by\: 10 percent }$

$\sf{There\: were \: only \: 1800 \: people \: left}$

$\bold{\underline{ To\: Find :- }}$

$\sf{we \: have \: to \: find\: original \: population? }$

$\bold{\underline{ Let's \: Begin :- }}$

$\sf{Let \: the \: total \: population\: be \: x }$

$\sf{\underline{ Therefore }}$

$\sf{According \: to \: the \: question }$

$\sf{ x - 10/100 = 1800 }$

$\sf{ 100x - 10/100 = 1800}$

$\sf{ 100x - 10 = 1800 × 100}$

$\sf{100x - 10 = 180000}$

$\sf{ 100x = 180000 + 10}$

$\sf{ x = 180010/100}$

$\sf{ x = 1800.1 }$

$\bold{\pink{Hence , The\: original \:population \:of \: the\: village \:is \:1800.1 }}$

7 0

2 years ago

Students were asked to explain the first step in solving the equation: 3y + 4 = 16. Susan says multiply by three. Ted says to ad

Juli2301 [7.4K]

Answer:

Nicole is correct

Step-by-step explanation:

They need to get the 3y on one side of the equal sign and the known numbers on the other side. To do this, they must subtract the 4 from both sides.

8 0

2 years ago

Enter the number 95.2185 below exactly (no rounding) Help please

creativ13 [48]

Answer:

Is this the answer 95.2185

5 0

2 years ago

Read 2 more answers

The L.L. Bean men’s cotton chambray shirt comes in the following colors: blue, stone, rust, green, plum, and indigo. In addition

bulgar [2K]

Answer:

60 types of cotton chambray shirts can be produced

Step-by-step explanation:

The shirt comes in the following colors: blue, stone, rust, green, plum, and indigo

Number of colors the shirt comes in = 6

The shirt comes in the following sizes: small (S), medium (M), large (L), extra large (XL), and extra extra large (XXL)

Number of sizes the shirt comes in = 5

The shirt comes in the following styles: short sleeves or long sleeves

Number of styles the shirt comes in = 2

Total number of cotton chambray shirts that can be produced are:

No. of colors * No. of sizes * No. of styles

6 * 5 * 2

60 shirts

So, 60 types of cotton chambray shirts can be produced from the given options of colors, sizes and styles.

7 0

3 years ago

Find the slope of the line that passes through (6, 7) and (2, 10). and simplify if needed thx guys.

tekilochka [14]

Answer:

$-\frac{3}{4}$

Step-by-step explanation:

the equation for finding the slope of a line when given two points is $\frac{y_2-y_1}{x_2-x_1}$ , aka the change in y over the change in x.

pick one of your coordinate pairs to be $y_2\\$ and $x_2$ . it doesn't matter which coordinate pair you choose as long as you keep them as $y_2\\$ and $x_2$ . the remaining coordinate pair will be $y_1$ and $x_1$ .

for this example, i'll use (2, 10) for $y_2\\$ and $x_2$ and (6, 7) for $y_1$ and $x_1$ .

**before i begin, i just want to note that you can do these next four steps in any order that you want. i personally prefer to plug in my y-values first and then my x-values, but you can choose to instead plug in the values of each coordinate pair (like starting by plugging in the coordinate pair (2, 10) with 10 for $y_2\\$ and 2 for $x_2$ ). it's up to you. i'm going to explain the steps by plugging in my y-values first and then my x-values because that's the way i normally do it.

first, start by plugging in the y-value from the coordinate pair of your choosing in for $y_2\\$ . since i chose (2, 10) for $y_2\\$ and $x_2$ , i'll plug in 10 for $y_2\\$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-y_1}{x_2-x_1}$

then plug in the remaining coordinate pair's y-value in for $y_1$ . since the coordinate pair that's left is (6, 7), i will plug in 7 for $y_1$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-7}{x_2-x_1}$

now i'm going to plug in the x-values. i chose (2, 10) to plug in for $y_2\\$ and $x_2$ , so now i'll plug in 2 for $x_2$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-7}{2-x_1}$

and all that's left to plug in is the x-value from (6, 7), so i will plug that in for $x_1$ .

$\frac{y_2-y_1}{x_2-x_1}$ ⇒ $\frac{10-7}{2-6}$

after plugging in all the values, you have $\frac{10-7}{2-6}$ .

subtract 10 - 7 as well as 2 - 6.

$\frac{10-7}{2-6}$ ⇒ $\frac{3}{-4}$

$\frac{3}{-4}$ cannot be simplified, therefore the slope of the line is $\frac{3}{-4}$ or $-\frac{3}{4}$ .

i hope this helps! have a lovely day <3

7 0

2 years ago