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Oksanka [162]
3 years ago
15

Find two consecutive even integers such that the sum of the larger and twice the smaller is 62

Mathematics
2 answers:
kolbaska11 [484]3 years ago
4 0
20 and 22

You would create an equation that would simulate this situation and solve for x to find the first even integer. Then add 2 to x to find the second even integer.

Gennadij [26K]3 years ago
3 0

Answer:

20 and 22 is the answer

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The points ​(10​,14​) and ​(35​,49​) form a proportional relationship. Find the slope of the line through the points. Then use t
Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5  or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


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6 0
2 years ago
A property is listed for $580,000. The listing agreement promises to
IgorC [24]

Answer:

$26,096

Step-by-step explanation:

property taxes = 31 January + 28 February + 31 March + 30 April + 31 May + 4 June = 155 days

property taxes = (155 days/365 days) x $5,309 = $2,254

agent's commission = 7% x $547,000 = $38,290

seller's net = $547,000 - $480,000 (mortgage) - $38,290 (agent's commission) - $360 (home warranty) - $2,254 (property taxes) = $26,096

8 0
3 years ago
A certain corporation listed their sales in 100s as 20700. What was their actual volume in millions?
Mariana [72]

Answer: Their actual volume in millions is 207×10⁹.

Step-by-step explanation:

Since we have given that

A certain corporation listed their sales in 100s as 20700

We need to find their actual volume in millions,

According to question,

In 100s, their volume = 2070000

In 100000, their volume is given by

207\times 10^5\\\\=2070000\times 10^5=207\times 10^9

Hence, their actual volume in millions is 207×10⁹.

5 0
3 years ago
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to
GREYUIT [131]

Answer:

48 kilometers

Step-by-step explanation:

If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)

6 0
3 years ago
At the beginning of the year 2000, Bob put $100 in a savings account. The bank pays Bob 5% interest on his total savings at the
nataly862011 [7]
Here, number of periods (years), n=5
Annual interest rate, i=0.05  (compounded yearly)
Present value/deposit, P=100
Future value of deposit = P(1+i)^n=100(1.05^5)=127.63 (to the nearest cent)

Answer: After 5 annual interest payments, Bob will have 127.63 in his account.
5 0
3 years ago
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