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vovangra [49]
3 years ago
6

Joe has fraction 5 over 6 pound of bird seed. He needs fraction 1 over 3 pound to feed the birds daily. Which of the rectangle m

odels below shows how many days’ worth of seed Joe has left? Rectangle model divided into six equal sections, five sections are labeled five-sixths and three sections are labeled one-third, equaling one and two-thirds days.
Mathematics
2 answers:
Semenov [28]3 years ago
5 0

Since Joe has 5/6 pounds left and he only needs 1/3 pounds each day to feed the birds, therefore the number of remaining day’s worth of seed is:

days = (5/6) / (1/3) = 2.5

The remaining seed can run up to 2 and half days. This also means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is equivalent to 1/6 pound. Therefore the correct rectangle model to use is:

<span>Rectangle model divided into 3 equal sections, two sections are labeled one-third and one section is labeled one-sixth, equaling two and one-half days.</span>

Paul [167]3 years ago
5 0

Answer:

B..

Step-by-step explanation:

i did it and got it right.

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Solve each inequality, and then drag the correct solution graph to the inequality.
Nesterboy [21]

The correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

4(9x-18)>3(8x+12)

First, clear the brackets,

36x-72>24x+36

Then, collect like terms

36x-24x>36+72\\12x >108

Now divide both sides by 12

\frac{12x}{12} > \frac{108}{12}

∴ x > 9

For the second inequality

-\frac{1}{3}(12x+6) \geq -2x +14

First, clear the fraction by multiplying both sides by 3

3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)

-1(12x+6) \geq -6x +42

Now, open the bracket

-12x-6 \geq -6x +42

Collect like terms

-6 -42\geq -6x +12x

-48\geq 6x

Divide both sides by 6

\frac{-48}{6} \geq \frac{6x}{6}

-8\geq x

∴ x\leq  -8

For the third inequality,

1.6(x+8)\geq 38.4

First, clear the brackets

1.6x + 12.8\geq 38.4

Collect likes terms

1.6x \geq 38.4-12.8

1.6x \geq 25.6

Divide both sides by 1.6

\frac{1.6x}{1.6}\geq  \frac{25.6}{1.6}

∴ x \geq  16

Let the graphs be A, B and C from left to right

The first graph (A) shows x\leq  -8 and this matches the 2nd inequality

The second graph (B) shows x \geq  16 and this matches the 3rd inequality

The third graph (C) shows x > 9 and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

Learn more here: brainly.com/question/17448505

8 0
3 years ago
Is 1:2:3 equivalent to 2:4:6​
Finger [1]

Answer:

Yes it is.

Step-by-step explanation:

Just multiply everything by 2.

5 0
3 years ago
I need some help with this rational equation. It's supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1.
Rasek [7]

This one is so easy that your brain refuses to accept it.
It's looking for a harder answer, but can't find it !

You're totally correct, as far you went.     x² + 2x does = -1

Now add ' 1 ' to each side:     x² + 2x + 1 = 0

Can you factor that quadratic ?
Can you mash it through the quadratic formula ?

Actually, it's the simplest possible perfect square.

                                       x² + 2x + 1  =  (x + 1)²

So the solutions of     x² + 2x + 1 = 0  are both   x = -1 .

Don't say anything.
I know it's embarrassing.

7 0
3 years ago
Amy was given an amount of money, m, for good grades on her report card. She spent $15.00 and now has $25.32. How much money did
Vaselesa [24]

Answer:

c

Step-by-step explanation:

8 0
3 years ago
8=x/7<br> Find the value of X?
jeka94

Answer:

X=56

You have to multiply 8 and 7

3 0
3 years ago
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