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devlian [24]
3 years ago
5

The sum of 6 consecutive even numbers is 126. What is the fourth number in this sequence?

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

The 6 numbers are: 16, 18, 20, 22, 24, and 26 so the answer would be 22.

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What is the constant in the algebraic expression to represent the patter below??
Hitman42 [59]

Answer:

The constant in the algebraic expression to represent the pattern below is 4.

Step-by-step explanation:

Imortant Tip:

  • An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

15,11,7,3,-1,...

computing the differences of all the adjacent terms

11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4

The difference between all the adjacent terms of the pattern is the same which is

d=-4

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.

8 0
3 years ago
Matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Andreas93 [3]

Answer:

32 ft

Step-by-step explanation:

Given data

Length= 8ft

Area= 64 f^2

Let us find the width

Area= Length*Width

64= 8* Width

Width= 64/8

Width= 8ft

Hence the perimeter= 2L+2W

P= 2*8+2*8

P= 16+16

P= 32 ft

5 0
3 years ago
Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each
sukhopar [10]

Step-by-step explanation:

Let

x

be the kg of coffee of brand A in the mix and

y

be the kg of coffee of brand B in the mix.

The total kg must be

50

.

x

+

y

=

50

The cost per kg of the mix must br

$

7.20

. For this, the total cost of the mix will be

6

x

+

8

y

, so the total cost per kg of the mix will be

6

x

+

8

y

50

.

6

x

+

8

y

50

=

7.20

Now that we have our two equations, we can solve.

6

x

+

8

y

=

7.20

⋅

50

6

x

+

8

y

=

360

From the first equation, we can multiply both sides by

6

to get:

6

x

+

6

y

=

300

Subtracting, we get:

2

y

=

60

y

=

30

Thus, we need

30

kg of brand B in our mix. This means that

50

−

30

=

20

kg will be of brand A.

6 0
3 years ago
I would appreciate it if someone helped me:)
Evgesh-ka [11]

Answer:

24 more chocolotae chip cookies are sold

Step-by-step explanation:

CCC  7(15)+6    105+6=111

SC   6(15)-3      90-3 = 87

111-87 = 24

8 0
3 years ago
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 uni
BigorU [14]

Answer:

41

Step-by-step explanation:

So basically you need to use the pythagorean thrm. Essentially, the diagonal and the width and length create a triangle, the diagonal being the hypothenuse. So the formula goes as \sqrt[]{a^{2} +b^{2} }. the variable "a" being the length and the variable "b" being the width.  So plug it in and there you have your answer!

8 0
4 years ago
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