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amm1812
3 years ago
11

There is 30\100 of a liter of orange juice on one container and 5\10 of a liter of pineapple juice in another container. If Mrs.

Morales combines the two juices ,how much orange-pineapple juice will she ? Explain how you found your answer.
Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
30/100 +5/10 = 3/10 +5/10 = 8/10 = 4/5

Mrs. Morales will have 4/5 of a liter of juice.

_____
The total quantity was found by adding the quantities of individual kinds of juice. The addition was performed by expressing each fraction using the common denominator of 10, then reducing the final result.
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Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....
Annette [7]

Answer:

T_n =  -48* (-\frac{1}{2})^{n}

Step-by-step explanation:

Given

24, -12, 6,...

Required

Write a formula

The above sequence shows a geometric sequence because:

r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2} -- common ratio

The equation is determined using:

T_n = ar^{n-1}

Where

a = 24

Substitute values for a and r

T_n = 24* (-\frac{1}{2})^{n-1}

Apply law of indices:

T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}

T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})

T_n = 24* (-\frac{1}{2})^{n} * 1*-2

T_n =  1*-2*24* (-\frac{1}{2})^{n}

T_n =  -48* (-\frac{1}{2})^{n}

<em>The above represents the explicit formula</em>

7 0
3 years ago
Yolanda is doing a party for her daughter. She wants to spend no more than $500. She has spent $130 on the venue and Will spend
barxatty [35]

Answer:

Step-by-step explanation:

Let x represent the number if people that she can invite.

Yolanda is doing a party for her daughter. She has spent $130 on the venue and Will spend $18 per person for food. This means that the total amount that she would spend if she invites x persons is

130 + 18x

She wants to spend no more than $500. Therefore, inequality to help her determine how many people she can invite would be

130 + 18x ≤ 500

5 0
3 years ago
Read 2 more answers
A regular pentagon is inscribed in ur let of radius 8cm. find the length of one side of the polygon​
Sergio039 [100]

9514 1404 393

Answer:

  9.404 cm

Step-by-step explanation:

A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...

  s = 2r·sin(180°/n)

For r = 8 and n = 5, this gives a side length of ...

  s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm

4 0
3 years ago
The figure below was made with a scale of 1 unit =9 m. You can place your figure anywhere on the grid on the right.
Zielflug [23.3K]

Answer & Step-by-step explanation:

I can't draw the image, but I can explain it to you.

Since 1 unit was 3 units and now it's 9, you would have to divide each side by 3. So, the width would be 1 unit and the length would be 2 units.

I hope this helped!!!

5 0
3 years ago
Caroline is making some table decorations.
jolli1 [7]

Answer:

Caroline buys 3 packs of candles and 5 packs of holders.

Step-by-step explanation:

1.) You need to add numbers of candle packs together until they both reach the same number, for example, multiples of 30 are 30, 60, 90.

2.) Then you add multiples of the holders. 18, 36, 54, 72, 90.

3.) You find that Caroline buys 3 pakcs of candles and 5 packs of holders to have the same number of both.

6 0
3 years ago
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