All categories

3 years ago

Find three consecutive even integers so that twice the largest

Mathematics

2 answers:

vekshin13 years ago

7 0

If x is the smallest of the three, then the next two integers are x + 2 and x + 4.

"Twice the largest is 20 less than the sum of all three" translates to

2 (x + 4) = (x + (x + 4) + (x + 6)) - 20

Solve for x :

2x + 8 = 3x - 10

x = 18

Then the three numbers are {18, 20, 22}.

viktelen [127]3 years ago

5 0

Answer:look below

Step-by-step explanation:Let x, x+2 & x+4 be the 3 integers.

x+2(x+2)=(x+4)+20

x+2x+4=x+4+20

3x+4=x+24

3x-x=24-4

2x=20

You might be interested in

How to solve 46=5k-59. what is k?

snow_lady [41]

46 = 5k - 59
46 + 59 = 5k
105 = 5k
105/5 = k
21 = k

k is 21

4 0

3 years ago

Please help!!!

Leto [7]

Answer:

- The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC$

Therefore, the scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ , and solve for the distance between the Sun and the shooting star "AC":

$cos(x\°)=\frac{y}{AC}$

$AC=\frac{y}{cos(x\°)}$

3 0

3 years ago

Read 2 more answers

Jackie bought 20 lb. of dog food. The dog food is packaged in 2, 4, and 8 lb. bags. How many bags of each size would Jackie have

Len [333]

Answer: 10 bags that weigh 2 lb.

5 bags that weigh 4 lb.

2.5 bags that weigh 8 lb.

Hope this helps.

Step-by-step explanation:

8 0

3 years ago

One number is 5 more than eight times another. Their sum is 104. Find the numbers. Enter your answer as a list of numbers separa

pav-90 [236]

Answer:

la conclave Tu pa I ya me tiene dcado esta ndjfjejcuejfn

Step-by-step explanation:

jdjfiifw rjfje djfje fjdjje fjejrj cjdjrn d djdjjff jddjd bdbdjrjrbd. dbebdb d d dbrbdbd. d dd rjrj I'd. drbdbdb. ffbdjjdjdb. d f. bdjdbd bdjdjdjd d dbdhn

4 0

3 years ago

Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?

vagabundo [1.1K]

The answer would be A. If 4x + 6 is the number of boats made in 1 day, then multiplying that by 12 would give us the number of boats made in 12 days so the equation would look like this:
12(4x + 6)

4 0

3 years ago

Read 2 more answers