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3 years ago

Finn collected 4 3/8 pounds of newspaper for the recycling drive, Neil collected 2 times as

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

7 0

Answer:

Finn collected 45 1/9 pounds of newspaper [mixed fraction]

Finn collected 406/9 pounds of newspaper [proper fraction]

Step-by-step explanation:

We know Neil collected 4 5/6 pounds of newspaper and Finn collected 9 1/3 times that amount. The question asks us to perform a fraction product, where each one is a mixed fraction.

Finn collected

4 5/6 x 9 1/3

Each fraction will be converted to proper fraction

Jonah collected 45 1/9 pounds of newspaper [mixed fraction]

Jonah collected 406 1/9 pounds of newspaper [proper fraction]

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what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)

gavmur [86]

Answer:

y = $\frac{3}{8}$ x + $\frac{41}{8}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = $\frac{7-4}{5+3}$ = $\frac{3}{8}$ , hence

y = $\frac{3}{8}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = $\frac{15}{8}$ + c ⇒ c = 7 - $\frac{15}{8}$ = $\frac{41}{8}$

y = $\frac{3}{8}$ x + $\frac{41}{8}$ ← equation in slope-intercept form

6 0

3 years ago

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

3 years ago

USE the RULE (x,y) -----> (x - 2, y - 4) to graph the image of this rectangle.

Olin [163]

So for example B(4,1) so x=4, y=1
->B'(4-2,1-4)
->B'(2,-3)

->A'(1-2,1-4)
->A'(-1,-3)

->C'(4-1,-2-4)
->C'(3,-6)

->D'(1-2,-2-4)
->D'(-1,-6)

so the image of the rectangle ABCD->A'B'C'D'

3 0

3 years ago

Hurry i need help with this because time is running out

cricket20 [7]

Answer:

Step-by-step explanation:

all you have to do is simply to find the LCM of the denominators

the LCM of each denominator would be 12

6 0

3 years ago

John can wash a car in 10 minutes. Brad can wash the same car in 8 minutes. How long will it take them if they work together to

Ann [662]

Answer:

9 min

Step-by-step explanation.

half of ten is 5 and half of 8 is 4 and 4 + 5 = 9

8 0

3 years ago

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