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2 years ago

Find 5 consecutive even integers such that the largest is 12 less than twice the smallest.

Mathematics

2 answers:

alukav5142 [94]2 years ago

4 0

Answer:

10,8,6,4,2,

Step-by-step explanation:

it is all even

NemiM [27]2 years ago

3 0

X, x+2, x+4, x+6, x+8
Largest: x+8
Smallest: x
x+8 = 2x - 12
12+8 = x
x=20
Numbers: 20, 22, 24, 26, 28

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Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

astraxan [27]

Answer: $4\sqrt{3}$ .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

$D=\sqrt{(d-b)^2+(b-a)^2}$

Distance between points $(-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3})$ .

$D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}$

Hence, the correct option is $4\sqrt{3}$ .

3 0

3 years ago

Mr. Santos purchased pizza and soda. Each pizza cost $14.50. He spent $127 on the soda. If he spent $315.50, use the equation 14

natali 33 [55]

Answer:

13 pizzas he bought

Step-by-step explanation:

315.50 - 127 = 188.50 then do 188.50 divided by 14.50 = 13

Hope this helps :)

4 0

3 years ago

sammy's bicycle and tricycles. clarence went to Sammy's and counted 37 sets of handlebars and 95 wheels. How many bicycles and t

Trava [24]

Answer:

16 bicycles and 21 tricycles

Step-by-step explanation:

Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.

Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:

b + t = 37

2b + 3t = 95

Solve by elimination by multiplying the top equation by -2:

-2b - 2t = -74

2b + 3t = 95

t = 21

Then, plug in 21 as t into one of the equations:

b + t = 37

b + 21 = 37

b = 16

So, there are 16 bicycles and 21 tricycles

4 0

3 years ago

Simplify -16/24 pleasee

melamori03 [73]

Answer:

-2/3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

HELP FAST. A circle with radius of 3 cm sits inside a 8 cm x 7 cm rectangle.

defon

Answer:

27.73 cm

1. Find the area of the rectangle: 8x7=56 cm

2. Find the area of the circle: pi x 3 squared= 28.2743338....cm

3. Subtract area of the circle from the area of the rectangle: 56 - 28.27433=27.72567cm

4. Round to the nearest hundredth: 27.73 cm

4 0

3 years ago