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harkovskaia [24]

3 years ago

5

Round each number to the nearest tenth.

1 answer:

AleksandrR [38]3 years ago

7 0

$26.73\approx23.7\\
 89.42\approx89.4$

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Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

>> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

>> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

$\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}$

>> Tₙ = nᵗʰ term
>> a = first term
>> n = no. of terms
>> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}$

${\dashrightarrow{\sf{ T_{20} = a + (19)d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19d}}}$

${\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}$

Hence, the value of T₂₀ is a + 19d.

$\rule{190}1$

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + (14) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14d}}}$

${\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}$

Hence, the value of T₁₅ is a + 14d

$\rule{190}1$

Now, finding the difference between T₂₀ - T₁₅ :

${\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}$

${\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}$

${\dashrightarrow{\sf{a + 19d - a - 14d}}}$

${\dashrightarrow{\sf{a - a + 19d - 14d}}}$

${\dashrightarrow{\sf{0+ 19d - 14d}}}$

${\dashrightarrow{\sf{19d - 14d}}}$

${\dashrightarrow{\sf{5 \times - 4}}}$

${\dashrightarrow{\sf{ - 20}}}$

${\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}$

Hence, the value of T₂₀ - T₁₅ is -20.

$\underline{\rule{220pt}{3.5pt}}$

3 0

2 years ago

To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s

larisa86 [58]

First make the denominators of the fractions the same by multiplying.

$\frac{2}{3}$ × $\frac{2}{2}$
= $\frac{4}{6}$

Now we just need to add the fractions together

$\frac{5}{6} + \frac{4}{6}$
= $\frac{9}{6}$

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

$\frac{9}{6}$ ÷ $\frac{3}{3}$
= $\frac{3}{2}$
=1.5 yards

Your final answer is 1.5 yards of ribbon are needed.

7 0

3 years ago

Read 2 more answers

What number should be added to -28 to make the sum 0

dedylja [7]

Add positive 28 to get the sum 0

4 0

3 years ago

Read 2 more answers

A number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. A is represented by the event that the number picked is grea

fomenos

P(A) = P(8) + P(9) + P(10) = 3/10 so P(A complement) = 1 - P(A) = 1 - 3/10 = 7/10 - D

7 0

3 years ago

Read 2 more answers

What is a(4-x) = 3x+b?

Bogdan [553]

Answer:

a=3x+b/4-x

Step-by-step explanation:

I dont know which variable you're supposed to solve for. But here's how i got the answer above:

Divide each term in a(4-x)=3x+b by 4-x

a(4-x)/4-x=3x/4-x+b/4-x

Then, cancel the common factor of 4-x, giving you

a=3x/4-x+b/4-x

Finally, combine the numerators over the common denominator,

giving you a=3x+b/4-x

4 0

3 years ago