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Kisachek [45]
2 years ago
9

Simone applied the distributive property using the greatest common factor to determine the expression that is equivalent to 24 +

56. Her work is shown below. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56 24 + 56 = 8 (4 + 7) What statement best describes Simone’s error? Simone did not use the correct factors for 24 in the equation. Simone did not use the correct factors for 56 in the equation. Simone did not use the greatest common factor in the equation. Simone did not use the correct operations in the equation.
Mathematics
1 answer:
adell [148]2 years ago
5 0

Answer:

The correct answer is A

Step-by-step explanation:

The reasoning is that I just got it correct on Edgenuity :p

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A 6-kg bag of fertilizer covers a rectangular area of 2.5 m by 5.0 m.
Naily [24]

Answer

Given,

Mass of bag = 6 Kg

Area covered by the bag = 2.5 x 5 = 12.5 m²

a) Bags required to cover area = 7.5 x 10.2

                                                    = 76.5 m²

 Number of bags, N = \dfrac{76.5}{12.5}

                               N = 6.12 = 7 (approx.)

7 Bags of 6 Kg fertilizers will be needed to cover the area.

b) Cost of 6 Kg fertilizers = $15.50

  Cost of 7 bags of 6 Kg fertilizers = 7 x $15.50

                                                         = $108.50.

8 0
2 years ago
Luis made some trail mix .He mixed 4 2/3 cups of popcorn ,1 1/4 cups of peanuts ,1 1/3 cups of raisins ,and 3/4 cup of sunflower
erastova [34]
I would say the answer is A.
4 0
2 years ago
We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes o
Ksivusya [100]

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

<em>Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67</em>

3 0
2 years ago
A tile mosaic in the shape of a right triangle is used as the corner for a rectangular pathway. The hypotenuse of the mosaic is
Anit [1.1K]

Answer:

The lengths of the sides are 2.2 ft and 4.5 ft

Step-by-step explanation:

Let

a -----> the length of one side of the mosaic

b ----> the length of the other side of the mosaic

c ----> the hypotenuse of the mosaic

we know that

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2} -----> equation A

we have

a=2b -----> equation B

c=5\ ft -----> equation C

substitute equation B and equation C in equation A and solve for b

5^{2}=(2b)^{2}+b^{2}

25=5b^{2}

b=\sqrt{5}=2.2\ ft

Find the value of a

a=2b ------> a=2\sqrt{5}=4.5\ ft

therefore

The lengths of the sides are 2.2 ft and 4.5 ft

6 0
2 years ago
Prove algebraically that the recurring decimal 0.472 can be written as<br> 17<br> 36
Katen [24]

Given:

The recurring decimal is 0.47\overline{2}.

To prove:

Algebraically that the recurring decimal 0.47\overline{2} can be written as \dfrac{17}{36}.

Proof:

Let,

x=0.47\overline{2}

x=0.472222...

Multiply both sides by 100.

100x=47.2222...     ...(i)

Multiply both sides by 10.

1000x=472.2222...        ...(ii)

Subtract (i) from (ii).

1000x-100x=472.2222...-47.2222...

900x=425

Divide both sides by 900.

x=\dfrac{425}{900}

x=\dfrac{17}{36}

So, 0.47\overline{2}=\dfrac{17}{36}.

Hence proved.

8 0
2 years ago
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