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anzhelika [568]
2 years ago
11

Tom has 12 ears of field corn to make

Mathematics
1 answer:
Leviafan [203]2 years ago
5 0
Tom arranged 3 groups of 4
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P = 3(m - 5)

p is the number of quarters that paulo has

m is the number of quarters that marie has
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What number adds up to be 12 but also multiplies to be 12
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4+3+1+1+1+1+1 =12
4x3x1x1x1x1x1=12
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Add 3/4+(−2 1/2) using the number line.
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-1 3/4

Step-by-step explanation:

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The total mass of raisins in a package is Normally distributed, with a mean of 520 grams and a standard deviation of 5 grams.
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3 years ago
Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear
AlladinOne [14]

Answer:

x=\frac{83}{50}

Step-by-step explanation:

we know that

If the three points are collinear

then

m_A_B=m_A_C

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope AB

we have

A(1,\frac{2}{3}),B(x,-\frac{4}{5})

substitute in the formula

m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}

m_A_B=\frac{\frac{-12-10}{15}}{x-1}

m_A_B=-\frac{22}{15(x-1)}

step 2

Find the slope AC

we have

A(1,\frac{2}{3}),C(-\frac{1}{2},4)

substitute in the formula

m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}

m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}

m_A_C=-\frac{20}{9}

step 3

Equate the slopes

m_A_B=m_A_C

-\frac{22}{15(x-1)}=-\frac{20}{9}

solve for x

15(x-1)20=22(9)

300x-300=198

300x=198+300

300x=498

x=\frac{498}{300}

simplify

x=\frac{83}{50}

8 0
4 years ago
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