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Ainat [17]
3 years ago
9

find five consecutive even integers if the sum of the first and fifth is 2 less than 3 times the fourth.

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0
2a,2a+2,2a+4,2a+6,2a+8-\ \ five\ consecutive\ even\ integers\\\\
2a+2a+8+2=3(2a+6)\\\\
2a+2a+10=6a+18\\\\
4a+10=6a+18\ \ \ |Subtract\ 4a\\\\
10=2a+18\ \ \ |Subtract\ 18\\\\
10-18=2a\\\\
-8=2a\ \ \ |Divide\ by\ 2\\\\
a=-4\\\\
\boxed{Numbers:\
-4,-2,0,2,4}
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Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.
telo118 [61]

Answer:

The dog weighs 16 pounds, while the cat weighs 8 pounds

Step-by-step explanation:

Let's call the weight of the dog d, and the weight of the cat c.

d+c=24

d=2c

Substitute the second equation into the first:

(2c)+c=24

3c=24

c=8

d=24-8=16

Hope this helps!

3 0
3 years ago
Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How
lisabon 2012 [21]

Answer: -6

Step-by-step explanation: It changed -6 each round because -6x3=-18.\

Hope this helped!

5 0
3 years ago
Please help! REWARDING BRAINLIEST FOR BEST ANSWER
Mashcka [7]

The difference in salary is 36000-28000=8000

The difference in annual increase is 3000-2000=1000

Therefore it takes 8000/1000= 8 years to catch up.

At the end of eight years,

Salary with the first company = 28000+8*3000=52000

Salary with the second company = 36000+8*2000=52000


6 0
3 years ago
Prove that the diagonals of a rectangle bisect each other. the midpoint of is _____
Deffense [45]
In this attached picture, we can prove that triangles AOB and COD are congruent. ∠CDO and ∠ABO are equal because they are alternate angles. Similarly, ∠OAB and ∠OCD are equal because they are alternate angles, as well. We have a rectangle and in the rectangle, opposite sides are equal; AB = CD. Then, because of Angle-SIde-Angle principle, we can say that triangles AOB and COD are equal. If triangles are congruent, then OD = OB and OC = AO. Applying congruency to the triangles ACD and BCD, we can see that these triangles are also congruent. It means that the diagonals are equal. Since, OD = OB and OC = AO, it proves that the point O simultaneously is the midpoint and intersection point for the diagonals. 

8 0
3 years ago
FIRST RIGHT ANSWER GETS BRAINIEST
Diano4ka-milaya [45]

OK, no figure, but from the comment is sounds like the grey area is the big circle minus the small circle.

The diameter of the small circle is 2 so its radius is 1 and its area πr² is π.

The radius of the larger circle is 4, so area 16π

The shaded area is 16π - π

Answer: 15π

6 0
3 years ago
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