All categories

4 years ago

One number is six less than a second number. Six times the first is 8 more than 4 times the second. Find the numbers.

Mathematics

1 answer:

irinina [24]4 years ago

3 0

Answer:

x-6=y

6x= 8+4y

Step-by-step explanation:

You might be interested in

The closed form sum of

zalisa [80]

Perhaps you know that

$S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6$

and

$S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4$

Then the problem is trivial, since

$\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}$

Then

$12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)$

so that a = 3 and b = 1.

4 0

3 years ago

Which percent is equivalent to 2 5/6 A. 2.56% B. 2.83% C. 256% D. 283.3

Katen [24]

2 5/6 = 17/6 = 2.833...to find the percent multiply the decimal by 100 and u get :
283.3% <==

6 0

4 years ago

Read 2 more answers

9. Use the rule of multiplication to calculate the probability that a particular F2 individual will be homozygous recessive or d

Bess [88]

Answer:

Complete: (1/2 dominant. + 1/2 recessive.)2

Homozygous. recessive.: 1/2 recessive. x 1/2 rec. = 1/4 rec.-rec.

Homozygous. dominant.: 1/2 dominant. x 1/2 dominant. = 1/4 dom.-dom.

Step-by-step explanation:

First, let us understand what the rule of multiplication is all about:

Basically, the rule of multiplication is a rule that states that there is a probability that two independent parallel event will eventually meet at a point.

Referring back to the question and applying the rule of multiplication,

we have,

Complete: (1/2 dominant + 1/2 recessive.) 2

Homozygous. recessive.: 1/2 rec. x 1/2 rec. = 1/4 recessive.-rec.

Homozygous. dominant.: 1/2 dom. x 1/2 dom. = 1/4 dom.-dom.

6 0

3 years ago

What value of k causes the terms 7, 6k, 22 to form an arithmetic sequence?

hodyreva [135]

Answer: first option

Step-by-step explanation:

To form an arithmetic sequence, you have that for the sequence $7,6k,22$ :

$6k-7=22-6k$

Therefore, to calculate the value of k to form an arithmetic sequence, you must solve for k, as following:

- Add like terms:

$6k+6k=22+7\\12k=29$

- Divide both sides by 12. Then you obtain;

$k=\frac{29}{12}$

8 0

3 years ago

Read 2 more answers

Sheila bought some rose plants and sunflower plants.There were 35 rose plants than sunflower plants.If the ratio of the rose pla

DENIUS [597]

So assuming that youmeans there were 35 MORE rose plants than sunflower seeds, then

Rose:Sunflower =8:3

rose=sunflower+35
therefor

8 units=rose
3 units=sunflowers

rose-35=sunflower
8unit-35=3unit
5unit-35=0
5unit=35
therefor
35=5unit
divide by 5
7=1unit

so 8 units of roses

7 times 8=56

3 units of sunflowers
3 times 7=21

rose=56
sunflower=21

6 0

4 years ago