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3 years ago

? For which value of x is the inequality 45 - 4x < 14 true?

Mathematics

1 answer:

viktelen [127]3 years ago

8 0

Answer:

7.75

Step-by-step explanation:

You group like terms from the inequality above ie by making the x value stands alone and you can only do this by sending 14 to the left side of the inequality and 4x to the right side. This becomes 45-14 < 4x and that gives you 31 < 4x. Then you divide both side by the number attached to the variable 'x' ie 4. So 31/4 < 4x/4 making x > 31/4 which is 7.75

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Shobo's mother's present age is six times Shobo's present age. Shobo's age five

il63 [147K]

Answer:

Step-by-step explanation:

Shobo's age = x years

His mother's age = 6 times of

Shobo's age

= 6x years

Five years from now

________________

Shobo's age = ( x + 5 ) years

According to the problem given,

x + 5 = one by third of his mother's

present age

x + 5 = 6x / 3

x + 5 = 2x

5 = 2x - x

5 = x

Therefore ,

Shobo's present age = x = 5 years

His mother's age = 6x

= 6 × 5

= 30 years

4 0

3 years ago

Write each sum using summation notation<br> 12 + 22 + 32 + 42 + ⋯ + 10000^2

Murljashka [212]

Answer:

50,00,70,000

Step-by-step explanation:

The given sequence is Arithmetic Progression.

Arithmetic Progression is a sequence in which every two neighbor digits have equal distances.

Here first we will find the number of terms

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

Now, In given sequence: 12, 22, 32, 42, ⋯ , 100002

a = 12, d = 10, n = ? and aₙ= 100002

∴ 100002 = 12 + (n - 1) × (10)

⇒ 99990 = 10(n - 1)

⇒ n = 10000

Now using the formula of Sum of Arithmetic Sequence,

Sₙ = n÷2[2a + (n - 1)d]

⇒ Sₙ = (10000÷2)[2 × 12 + 9999 × 10]

⇒ Sₙ = 5000 [ 24 + 99990]

⇒ Sₙ = 5000 × 100014 = 50,00,70,000

5 0

3 years ago

jane lives 1 3/8 miles from the airport. She drove from her house to the airport and back 2 times. How far did Jane drive? Move

Ket [755]

Answer:

$5\frac{1}{2}\ mi$

Step-by-step explanation:

we know that

$1\frac{3}{8}\ mi=\frac{1*8+3}{8}=\frac{11}{8}\ mi$

She drove from her house to the airport and back 2 times

Multiply the distance from her house to the airport by 4

$(4)*\frac{11}{8}=\frac{11}{2}=5\frac{1}{2}\ mi$

4 0

3 years ago

What number is 15% of 63

Degger [83]

Take the number (63) and then divide it with 100, this gives you 1%. Then you want to multiply with with 15 in order to get 15%. The answer becomes:

$\frac{63}{100}\cdot 15=9.45$

6 0

3 years ago

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den301095 [7]

12. MORT

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4 0

2 years ago