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Kaylis [27]
3 years ago
7

Find the common difference for the given sequence. Type a numerical answer in the space provided. Do not include spaces in your

answer. If necessary, use the / key to represent a fraction bar. 56, 49, 42, 35, ...
Mathematics
2 answers:
Blizzard [7]3 years ago
4 0
The answer is -7....
Darina [25.2K]3 years ago
4 0

Answer: -7

Step-by-step explanation:

  • The common difference of an Arithmetic progression is the difference between any two consecutive terms.

i.e. for sequence a_1, a_2, a_3 ,.....

Common difference = d=a_2-a_1=a_3-a_2=a_4-a_4

The given sequence : 56, 49, 42, 35, ...

Then , Common difference =49-56=-7

Hence, the  common difference for the given sequence. =-7

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Solve for x 4.5 (8 - x) + 36 = 102 - 2.5 (3x + 24)
CaHeK987 [17]

Answer:

x = -10

Step-by-step explanation:

expand

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

4 0
2 years ago
To make 100g of jam you need 57g
asambeis [7]

Answer:

The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

Step-by-step explanation:

As we have to make 100g of jam

so

  • Amount of strawberries = 57g
  • Amount of blackberries = 13g

Thus

The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g

Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

8 0
3 years ago
Katie gives Maggie half of her pencils. Maggie keeps 5 and gives the rest to jamil. Write an expression for the number of pencil
Inga [223]

Answer

Write an expression for the number of pencils Maggie gives to jamil.

To prove

Let us assume that the number of pencils Katie have = x

As given

Katie gives Maggie half of her pencils.

Katie\ gives\ Maggie\ half\ of\ her\ pencils = \frac{1x}{2}

As given

Maggie keeps 5 and gives the rest to jamil.

Thus

Number\ of\ pencils\ Maggie\ gives\ to\ jamil = \frac{1x}{2} - 5

Therefore the expression for the number of pencils Maggie gives to jamil are  \frac{1x}{2} - 5.





5 0
3 years ago
Read 2 more answers
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kkurt [141]

Answer:

are there any word choices?

Step-by-step explanation:

7 0
2 years ago
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What is the value of x
Hunter-Best [27]

Answer:

Depends on the equation

7 0
3 years ago
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