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Finger [1]
3 years ago
12

6.5 + (−2) + 10.5 I could probably do this but its kind of hard to understand. Explain?

Mathematics
1 answer:
elena-s [515]3 years ago
6 0
Hello! Let's work this problem from left to right to make things a bit easier ;)

6.5+(-2) is the same as 6.5-2, since adding a negative is the same as subtracting a positive. 6.5-2=4.5

Now, we have to add 10.5 to 4.5, which gives us the grand total of 15. I hope this helped! Let me know if you need anything else!
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Is 5/4 greater than , less than , or equal to the square root of 2
victus00 [196]

Answer:

less than

Step-by-step explanation:

the square root of 2 is 4 and 5/4 is 1.25

8 0
2 years ago
Solve the equation 5x + 7y = 35 for y.
erastovalidia [21]

Answer:

D. y = -5/7x + 5

Step-by-step explanation:

5x + 7y = 35

-5x          -5x

7y =  35 - 5x

/7      /7    /7

y = 35/7 - 5/7 x

y = 5 - 5/7x

4 0
3 years ago
Read 2 more answers
An open box with a square base is to have a volume of 18 ft^3.
kotegsom [21]

Answer:

2.29 ft of side length and 1.14 height

Step-by-step explanation:

a) Volume V = x2h, where x is side of square base and h is hite.

Then surface area S = x2 + 4xh because box is open.

b) From V = x2h = 6 we have h = 6/x2.

Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.

We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.

Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.

To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.

And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2

5 0
2 years ago
The figure is made up of two shapes, a semicircle and a square.
kolbaska11 [484]
Perimeter is adding all sides so the answer will be 12(pi) + 46, hope this helps!!
6 0
2 years ago
The perimeter of a building is 78 feet. The width of the building is seven more than three times the length of the building. Wha
Alchen [17]

P=2l+2w

W=7+3l

So substitute into the original equation

P=2l + 2(7+3l)

78=2l +14 + 6l

-14 -14

—————-

64=8l

8=length

W=7+3l

= 7+3(8)

=7+24

=31

Check your work

Perimeter=8+8+31+31

=78

Hope this helps

8 0
3 years ago
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