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egoroff_w [7]
2 years ago
8

The rule is "Multiply by 8." Which statement is true? Number of Packages 3 5 6 8 Number of Juice Boxes 24 40 48 ? A. The number

of juice boxes will always be greater than 24. B. The number of packages will always be greater than the number of juice boxes. C. The number of juice boxes must be an even number. D. The number of juice boxes will always be 21 more than the number of packages.
I need the answer ASAP!
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
6 0

The statement (C) the number of juice boxes must be an even number is correct.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a rule is “Multiply by 8"

Number of Packages:         3    5   6    8

Number of Juice Boxes:     24  40  48

The statements are:

  • A. The number of juice boxes will always be greater than 24.
  • B. The number of packages will always be greater than the number of juice boxes.
  • C. The number of juice boxes must be an even number.
  • D. The number of juice boxes will always be 21 more than the number of packages.

Number of package starts from 3

Applying the rule: "Multiply by 8.

Number of Juice Boxes = 3×8 = 24

The statement should be the number of juice boxes will always be greater than and equal to 24.

When we multiply even with odd we get an even number.

8 is an even number.

Thus, the statement (C) the number of juice boxes must be an even number is correct.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

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Jason has already used 4/12 cans of paint while painting furniture. He is painting chairs which each use 10/6 cans of paint.
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Answer:

Based off of the calculations I did, I got 32 as the answer.

Step-by-step explanation:

Jason uses 10/6 of the paint for each chair he paints and according to the question, there are 19 chairs.

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10/6 * 19 = 31.666...

Then we add the previous amount Jason used for painting the furniture to the total amount of paint used after painting the 19 chairs.

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Vectors: Find the vector from the point A=(−1,−7,3) to the point B=(3,−2,9).
devlian [24]

Answer:

\overrightarrow {AB} = (4,5,6)

1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F

2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F

3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T

4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F

5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F

Step-by-step explanation:

The vector AB is the vectorial difference between point A and B, that is:

\overrightarrow {AB} = \vec B - \vec A

Given that \vec A = (-1,-7,3) and \vec B = (3,-2,9), the vector AB is:

\overrightarrow {AB} = (3,-2,9)-(-1,-7,3)

\overrightarrow{AB} = (3-(-1),-2-(-7),9-3)

\overrightarrow {AB} = (4,5,6)

The vectorial equation of the line is represented by:

\langle x, y, z\rangle = \vec A + t \cdot \overrightarrow {AB}

Where t is the parametric variable, dimensionless. Given that \vec A = (-1,-7,3) and \overrightarrow {AB} = (4,5,6)

\langle x,y,z \rangle = \langle -1,-7,3 \rangle + t\cdot \langle 4,5,6 \rangle

Finally, the list of questions are now checked:

1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F

2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F

3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T

4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F

5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F

4 0
2 years ago
PLZ HELP RIGHT NOW PLZ I WILL MARK BRAINLIEST I BEG NO SILLY ANWSER =(
kipiarov [429]

Answer:

1. x=-3

2. m=4

3. -6=b

4. x=3

Step-by-step explanation:

1. 7(3-3x)=84 what is x

- Distribute the 7 using distributive property, which will give you 21-21x=84.

- Add 21 to both sides to aim to isolate the x variable, which will give you -23x=63.

- Divide both sides by the coefficient of x, -23, to finally get x by itself: x=-3

2. -7(-4-3m)=112 what is m

- Distribute the -7 using distributive property, which will give you 28+21m=112. Be wary of negatives.

- Subtract 28 to both sides, which will give you 21m=84.

- Divide both sides by 21 (the coefficient of m) to get m by itself: m=4

3.-182=7(2b-8)+7b what is b

- Distribute the 7 using distributive property, which will give you -182=14b-56+7b

- Add like terms to get -182=21b-56.

- Add both sides by 56, which will get you -126=21b.

- Divide both sides by the coefficient of b, 21, to get b by itself: -6=b

4. -101 = -5(8x-5) -6 what is x

- Distribute the -5 using distributive property, which will give you -101=-40x+25-6. Beware of negatives.

- Add like terms to get -101=-40x+19.

- Subtract both sides by 19 to get -120=-40x.

- Divide both sides by 40 (the coefficient of x) to get 3=x.

Hope this helps!

8 0
2 years ago
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