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4 years ago

Somebody, please help me!! I will mark the brainiest

Mathematics

1 answer:

Leto [7]4 years ago

8 0

Answer:

65 = <JKL

Step-by-step explanation:

There are two expressions that represent the same thing.

The diagram shows that <JKL = 45 + x

The question states that JKL = 3x + 5

The two expressions must be equal since they represent the same thing.

3x + 5 = x + 45

Subtract 5 from both sides

3x + 5 - 5 = x + 45 - 5

3x = x + 40 Subtract x from both sides

3x - x = x - x + 40

2x = 40 Divide by 2

2x/2 = 40/2

x = 20

So x + 45 = 20 + 45 = 65

3x + 5 = 3*20 + 5 = 60 + 5 = 65

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a number set consists of {4，5，6，7}。How many 2-digit combinations of numbers from the data set can be divided by 3？

kifflom [539]

Answer:

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

4 0

3 years ago

Revenue flows into a company at a rate of f(t) = 3000 1 + 5t , where t is measured in years and f(t) is measured in dollars per

Igoryamba

Answer:

$F = 388500\,dollars$

Step-by-step explanation:

The revenue flows has the following function:

$f(t) = 3000\cdot (1+5\cdot t)$

The total revenue obtained in the first seven years is obtained by using the concept of definite integral:

$F = 3000\int\limits^7_0 {(1+5\cdot t)} \, dt$

$F = 3000\cdot t|_{0}^{7}+7500\cdot t^{2}|_{0}^{7}$

$F = 21000+367500$

$F = 388500\,dollars$

4 0

3 years ago

29. Shona earned $44.00, spent $23.00, loaned her brother $5.00,

alexandr402 [8]

Answer: $42.00

Step-by-step explanation:

44-23=21

21-5=16

16+26=42

5 0

3 years ago

Read 2 more answers

Ethan's full backpack weighed too much. He took out a 4/8 pound electronic reader, a 2 ⅛ pound full bottle of water, and a ⅞ pou

Luba_88 [7]

Answer:

see below

Step-by-step explanation:

We can just add up all of these fractions:

2 1/8 + 7/8 = 2 8/8 = 3

8 5/8 + 4/8 = 8 9/8 = 9 1/8

3 + 9 1/8 = $12\frac{1}{8}$

4 0

3 years ago

WHich of the following sets of integers is a Pythagorean triple?

aalyn [17]

Pythagorean theorem states that:
c^2=a^2+b^2
where:
c=hypotenuse
a and b are the legs
this implies that, a and b are shorter than c; thus to find the Pythagorean theorem we look for values that satisfy the above equation, where c is the longest side.
17^2=15^2+9^2
thus (17,15,9) are Pythagorean triple.

13^2=5^2+12^2
Thus (5,12,13) are Pythagorean triple

12^2≠6^2+8^2
Thus they are not Pythagorean triple

6^2=5^2+3^2
Thus (3,5,6) are not Pythagorean theorem.

7 0

4 years ago

Read 2 more answers