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2 years ago

One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.

Mathematics

2 answers:

Agata [3.3K]2 years ago

4 0

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Vesna [10]2 years ago

3 0

Answer:

3 and 19

Step-by-step explanation:

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

Which inequality is represented by the graph y>-2/3x+1 y<-2/3x+1 y<-3/2x+1 y>-3/2x+1

soldi70 [24.7K]

Answer:

the 3rd one is the graph answer

6 0

3 years ago

Plz help....<br> Ma teacher's Gon kill me.....lol

erik [133]

Answers:

1. 74856 + 1489
= 76345

2. 42000/5
= 8400

3. 142100/10
= 14210

4. 2500 + (8-5)
2500 + 3
= 2503

5. 385 + (29 - 9)
385 + 20
= 405

6. 1780 - 643
= 1137

7. 4 x 2 + 30 / 5
4 x 2 + 6
8 + 6
= 14

8. 65743 - 754
= 64989

4 0

2 years ago

Explain howto use friendly percents to find 35% of 80

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

35% × 80 =

(35 ÷ 100) × 80 =

(35 × 80) ÷ 100 =

2,800 ÷ 100 =

I hope this helps :)

6 0

3 years ago

Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, th

liq [111]

Answer:

A. 3a-2=54

Step-by-step explanation:

3 x her age - the 2 year will equal 54

6 0

2 years ago