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3 years ago

Round 219.870754015 to the nearest hundred.

Mathematics

2 answers:

andrey2020 [161]3 years ago

6 0

219.87 is the correct answer

dsp733 years ago

6 0

219.87 the first place after the decimal is the tenths and then hundreths
then you apply the rule if the number after it is 5 or above you round up, if it is less it stays.

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Find the equation of the line between the points (10, – 5) and ( - 2,0).

Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{12} x-\frac{5}{6}$

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}$

Thus, the slope of the line is $-\frac{5}{12}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{12}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

$y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}$

3 0

3 years ago

The Chewy Candy Company is test marketing a new candy bar in Seoul and Manila.

Anon25 [30]

The first month in which the board will see the cumulative total number of candy bars sold in Manila exceeded the cumulative total in Seoul is of:

3rd month.

<h3>What are linear functions?</h3>

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients are defined as follows:

m is the slope, representing the rate of change.

b is the y-intercept, representing the initial value.

For the functions in this problem, the slope and the intercept are given as follows:

Slope: Monthly increase.

Intercept: amount sold by the end of the first month.

Taking the end of the first month as a parameter, the functions are defined as follows:

Seoul: S(m) = 40 + 60(m - 1).

Manila: M(m) = 20 + 80(m - 1).

Then Manila exceeds Seoul when:

M(m) > S(m)

20 + 80m - 80 > 40 + 60m - 60

20m > 40

m > 2.

2.1 for example is in the 3rd month, hence the 3rd month is the correct answer.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0

1 year ago

Determine which pair of points has a negative slope.

Mashcka [7]

It is C

all the other options have positive slopes

3 0

4 years ago

Kate Smith sells vacuum cleaners and is compensated under a combination plan. She earns $9.75 per hour, plus 15 percent of whate

irina1246 [14]

Answer: $2,655

Step-by-step explanation:

She earns $9.75 per hour.

She earns 15% of whatever she sells.

She worked 160 hours

She sold 9 vacuum cleaners. (5 for $1,100 each) (4 for $450 each)

--------------------------------------------------------------------------------------------------------

Calculate the total earnings for 160 hours.

If she earns $9.75 per hour, multiply it by the total amount of hours she worked (160)

9.75*160=$1,560

Now calculate how much extra money she earned due to the sales.

To do this, we have to calculate 15% of the total price of sales.

She sold 5 vacuum cleaners for $1,100 each. Multiply to calculate the total earnings.

1100*5=$5,500

Do the same with the other 4 vacuum cleaners.

450*4=$1,800

Add up these two earnings for the total earnings.

5500+1800=$7,300

Calculate 15% of that.

To calculate percentages, convert to decimals first and then multiply. To convert to decimal, we take the percentage and divide it by 100.

15/100=0.15

Multiply

0.15*7300=$1,095

Finally, add her paycheck and extra money to calculate the total compensation for last month.

1560+1095=$2,655

5 0

3 years ago

Which is a perfect square?<br> A. 6^1<br> B.6^2<br> C.6^3<br> D. 6^5

AveGali [126]

6^2 = 36 is a perfect square.

4 0

3 years ago

Read 2 more answers