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saveliy_v [14]
4 years ago
13

Which expressions is equivalent ?

Mathematics
1 answer:
agasfer [191]4 years ago
7 0
<h3>3 Answers: Choice C, Choice D, Choice F</h3>

What these expressions have in common is that their exponents multiply to 16

  • (-4)*(-4) = 16 for choice C
  • (-2)*(-8) = 16 for choice D
  • 8*2 = 16 for choice F

The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.

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250 grams of sugar cost 150 dollars at Shop X. 100 grams of sugar cost 95 dollars at Shop Y. What is the difference in cost per
nata0808 [166]
<h2>Answer:</h2>

350 dollars

<h2>Step-by-step explanation:</h2>

<em>(step 1) Find the cost per kilogramme of sugar in shop X</em>

In shop X:

250 grams of sugar costs 150 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 250 grams will be equal to 0.25 kilogramme

Therefore (replacing 250 grams with 0.25 kilogramme) in shop X;

0.25 kilogramme of sugar costs 150 dollars

Now, if

0.25 kilogramme = 150 dollars,

=> 1 kilogramme =  150 dollars x 1 kilogramme / 0.25 kilogramme

=> 1 kilogramme = 600 dollars

Therefore, the cost per kilogramme of sugar in shop X is 600 dollars

<em>(step 2) Find the cost per kilogramme of sugar in shop Y</em>

In shop Y:

100 grams of sugar costs 95 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 100 grams will be equal to 0.1 kilogramme

Therefore (replacing 100 grams with 0.1 kilogramme) in shop Y;

0.1 kilogramme of sugar costs 95 dollars

Now, if

0.1 kilogramme = 95 dollars,

=> 1 kilogramme =  95 dollars x 1 kilogramme / 0.1 kilogramme

=> 1 kilogramme = 950 dollars

Therefore, the cost per kilogramme of sugar in shop Y is 950 dollars

<em>(step 3) Find the difference in cost per kilogramme of sugar between the two shops</em>

The difference is calculated by subtracting the cost per kilogramme of sugar in shop X from the cost per kilogramme of sugar in shop Y. i.e

=> cost per kilogramme of sugar in shop Y - cost per kilogramme of sugar in shop X

=> 950 dollars - 600 dollars

=> 350 dollars.

Therefore, the difference in cost per kilogramme is 350 dollars

3 0
3 years ago
Describe the error in factoring the polynomial.
Veseljchak [2.6K]

Answer:

B:Multiplication of the outer terms of the two factors does not result in -7x

Step-by-step explanation:

8 0
3 years ago
Marilyn has 7/8 yard of ribbon. What is the maximum number of 1/16 yard-long pieces Marilyn can cut from this ribbon?
makkiz [27]

Marilyn can cut 14 pieces

6 0
3 years ago
Name.<br> Solve using <br> Substitution <br> L<br> y = 3x + 2<br> 6x - 2y = 8
masya89 [10]

Answer:

No solution

Step-by-step explanation:

There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.

6 0
3 years ago
Work out<br> 55<br> % of <br> 2900
riadik2000 [5.3K]
Change 55% to 0.55
0.55 x 2900 = 1595
4 0
3 years ago
Read 2 more answers
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