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3 years ago

What is 1/3 of $55,000.00

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Divide that # by 3. You get $18,333.33

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Determine whether the three points are collinear.<br> (0, - 10). (-3,- 13), (2,-8)

LUCKY_DIMON [66]

Answer:

<h2>YES. These points are collinear.</h2>

Step-by-step explanation:

If three points are collinear, then the slopes are the same.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

For (0, -10) and (-3, -13):

$m=\dfrac{-13-(-10)}{-3-0}=\dfrac{-13+10}{-3}=\dfrac{-3}{-3}=1$

For (-3, -13) and (2, -8):

$m=\dfrac{-8-(-13)}{2-(-3)}=\dfrac{-8+13}{2+3}=\dfrac{5}{5}=1$

We can check the last pair (0, -10) and (2, -8):

$m=\dfrac{-8-(-10)}{2-0}=\dfrac{-8+10}{2}=\dfrac{2}{2}=1$

5 0

3 years ago

At 88°F, a certain insect chirps at a rate of 64 times per minute, and at 97°F, they chirp 118 times per minute. Write an equati

Allushta [10]

Let " x " denotes the temperature in degree Fahrenheit .

Let " y " denotes the chirp rate per minute .

We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁) = ( 88 , 64 ) and ( x₂ , y₂) = ( 97,118) .

y₂ - y ₁ 118 - 64 54

Slope , m = ---------------------- = --------------------- = -----------

x₂ - x₁ 97 - 88 9

Slope , m = 6 .

Equation of line in slope intercept form is

y = m x + b where ' m' is slope and ' b ' is intercept .

Plug value of m , we get

y = 6 x + b .

To find value of b , we put ( 88 , 64 ) in place of x and y .

Put x = 88 and y = 64 , we get

64 = 6 * 88 + b

64 = 528 + b

64 - 528 = b

- 464 = b

Thus we get b = - 464 .

So the equation become

y = 6 x - 464 .

Equation in slope intercept form representing the situation is

y = 6 x - 464 .

6 0

3 years ago

4x + 3y =4 2x - y =7 in substitution

IRINA_888 [86]

The answer is (4x+3y=4 2x-7=7: 5/2 and y=-2) hope it helps and have a good day!

4 0

3 years ago

Round 2,641 to the nearest thousand

elena-14-01-66 [18.8K]

It would be 3,000 as it is the next thousand. Since 2,641 is over 2,500 you can round to the next thousand 3,000

7 0

3 years ago

Read 2 more answers

What is the radical form of the expression (2x^4y^5)^3/8

s344n2d4d5 [400]

We are given expression: $(2x^4y^5)^{3/8}$

Let us distribute 3/8 over exponents in parenthesis, we get

$(2^{3/8}x^{4\times 3/8}y^{5\times 3/8}) = (2^{3/8}x^{12/8}y^{15/8})$

$= (2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} )$

We can get x and y out of the radical because, we get whlole number 1 for x and y exponents for the mixed fractions.

So, we could write it as.

$(2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} ) = xy(2^{\frac{3}{8} }x^{\frac{4}{8}} y^{\frac{7}{8}} )$

Now, we could write inside expression of parenthesis in radical form.

$xy\sqrt[8]{2x^{3}x^4y^7}$

8 0

3 years ago