Which is the best estimate for the sum of 3/8 and 1/12¿

Answers

Answer 1

Answer: Estimating is an educated guess, so 3/8 is just less than half, and 1/12 is just a bit more than 0. So you could estimate that 3/8 + 1/12 = roughly 1/2

if you add 3/8 and 1/12 you get 11/24

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Which number sentences could be used to solve this problem?The members of an art club brought art supplies to work on a project.
Each of the 15 members brought 4 paint brushes and 3 tubes of paint.
What is the total number of art supplies the members brought?
Choose all answers that are correct.

Answers

The answer is the first and third box. Both give you 105 art supplies which is the correct number you should get.

Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance between the two ships.Draw a diagram ando solve for the missing measure. When necessary round to the nearest tenth.

Answers

The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the hypotenuse.
Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?

Answers

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
$3 (1)/(6) yards :1 (1)/(3)shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 (1)/(6) =3+ (1)/(6) = 3* (6)/(6)+ (1)/(6) = (18)/(6) + (1)/(6) = (18+1)/(6) = (19)/(6)$

Similarly, 1 1/3 = 4/3:
$1 (1)/(3) =1+ (1)/(3) = 1* (3)/(3)+ (1)/(3) = (3)/(3) + (1)/(3) = (3+1)/(3) = (4)/(3)<span>$

Now, let's use this in the proportion:
$3 (1)/(6) yards :1 (1)/(3)shirts =xyards:2shirts$
$(19)/(6) : (4)/(3) = x:2$

Crossing the products:
$x* (4)/(3) =2* (19)/(6)$
⇒ $x* (4)/(3) = (19)/(3)$
⇒ $x = (19)/(3) : (4)/(3)$
$x= (19)/(3) * (3)/(4)$
⇒ $x = (19)/(4) = (16+3)/(4) = (16)/(4) + (3)/(4) =4+ (3)/(4) =4 (3)/(4)$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

Answer:

The answer is 4 3/4 yards of the fabric.

An airplane flies a distance of 650km at an average speed of 300 km/h. How much time did the flight take?

Answers

To solve this, you can set up a proportion and cross multiply.

$(650)/(x)= (300)/(1) \n \n 650*1=300*x \n \n 650=300x \n \n 2.17=x$

2.17 hours

Distance x speed = time
300 x 650
=195000
Checking
Distance divide time = speed
195000 divide 600
=300

Evaluate. Let n = 2.Enter the answer in lowest terms.

Answers

Numerator:
8n+3n-7
= 11n-7

Plug n=2 in 11n-7, we have:
11*2-7= 15

Denominator:
6*2n-3(n-1)
= 12n-3n+3 (distributive property)
= 9n+3

Plug n=2 into 9n+3, we have:
9*2+3= 21

15/21
= (15/3) / (21/3)
= 5/7

The final answer is 5/7~

First you do the top
8n+3n-7=8*2+3*2-7=16+6-7= 22-7=15
Then you found out the bottom
6*2n-3(n-1)=6*2*2-3(2-1)=6*2*2-3*1=6*4-3*1=24-3*1=24-3=21
15/21 is your answer.
Hope this helps! :)

Which ratio is the same proportion as 36:64 in fraction

Answers

9:16???
or.....
9/16???

Answer:

Your Answer is 9/16

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