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Gelneren [198K]
3 years ago
13

Alana walks east 4/9 mile to school every morning. On saturday, she walked to a friend's house, which is 1/3 mile farther east f

rom her school. How far did Alana walk to her friend's house on Saturday?
Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

4/27

Step-by-step explanation:

You just add 4/9 + 1/3 = 4/27 and I believe there is no way to simplify.

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3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be u
Anarel [89]

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)

\Rightarrow  35\times 900 = 46x + 12\times 900 - 12 x

\Rightarrow 34x= 900(35-12)

\Rightarrow x = (900\times 23)/34

\Rightarrow x = 608.82 lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

5 0
3 years ago
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
Svet_ta [14]

Answer:

I, II and III

Step-by-step explanation:

Two sides of a triangle have length 6 and 8.

the maximum possible area occurs in the right angle .

To find maximum area we use the area of the triangle formula

area of triangle = \frac{6 \cdot 8}{2} = 24

So maximum possible area is 24 units^2

all the given possible values are less than and equal to 24

so all the three options are correct

I, II and III

4 0
3 years ago
Geometry: complete this proof of theorem 14, ASAP!
PtichkaEL [24]

Answer:

1. Transversal y intersects lines m and n; <1 ~= <2 (Given)

2. <1 ~= <3 (Vertical Angles Theorem)

3. <2 ~= <3 (Transitive Property of Congruence)

4. m || n (Converse of Alternate Interior Angles Theorem)

3 0
2 years ago
Solve (2x + 5)= (2x + 3)(2x - 1)
AlexFokin [52]

(2x + 5)= (2x + 3)(2x - 1)\\2x+5=4x^2-2x+6x-3\\4x^2-2x+6x-3-2x-5=0\\4x^2+2x-8=0\\(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\ x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}

4 0
2 years ago
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Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0. Do not find th
almond37 [142]
Hello,
<span>List all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0

Answer -1,1,-3,3
but none is a root.
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7 0
3 years ago
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