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tamaranim1 [39]
2 years ago
5

The length of a ribbon is 6/7 meter. Sun Yi needs pieces measuring 1/6 meter for an art project. What is the greatest number of

pieces measuring 1/6 meter that can be cut from the ribbon? How much ribbon will be left after Sun Yi cuts the ribbon?
Mathematics
1 answer:
Strike441 [17]2 years ago
6 0

Answer:

Let's find out!

Step-by-step explanation:

So we have to set up an equation

Let x= # of ribbons that can be cut

Thus:

\frac{1}{6}x =\frac{6}{7} \\x=\frac{6}{7} *\frac{6}{1} \\x=\frac{36}{7}

So, we cannot have 36/7 ribbons! It's not possible!

So we just simplify!

x=5\frac{1}{7}

There we go! She can cut 5 ribbons off!

I'll let you figure out the last one!

Hope this helps!

P.S. Stay Safe!

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For the equation W = -175t + 8,750, how much water is left after 6 hours?
barxatty [35]

Answer:

7,700

Step-by-step explanation:

-175 x 6 = -1,050

-1,050 + 8,750 = 7,700

5 0
3 years ago
There are 20 balls in a bag. Ten of the balls are red, 4 are green, and the rest are yellow.
xxMikexx [17]

Answer:

3/5

Step-by-step explanation:

I took the test

4 0
2 years ago
two business partners, Ellen and Bob, invested money in their business at a ratio of 3 to 7. Bob invested the greater amount. th
Shtirlitz [24]

Answer:

Ellen invested $60 and Bob invested $140

Step-by-step explanation:

let the two amounts invested by 3x and 7x

(notice 3x : 7x = 3 : 7 )

then 3x + 7x = 200

10x = 200

x = 20

then 3x = 3(20) = 60

and 7x = 7(20) = 140

60+140=200

7 0
3 years ago
The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5
Andrew [12]

Answer:

B


Step-by-step explanation:

<u>This is a right triangle as shown by the right angle.</u>

  • The side opposite the right angle is the hypotenuse, which is 9.
  • The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

sin\theta=\frac{opposite}{hypotenuse}

Since, we need angle A, \theta is A, opposite side is 3, and hypotenuse is 9, we substitute:

sinA=\frac{3}{9}\\sinA=\frac{1}{3}

<em>To solve for the angle, we use our calculator and find the inverse sin of \frac{1}{3} :</em>

A=sin^{-1}(\frac{1}{3})\\A=19.47

<em>Rounding to nearest tenth of a degree:</em>

A=19.5

B is the right choice.

6 0
3 years ago
13. Danny is in science class and is given a square block of metal with
jenyasd209 [6]

Answer: 336g.

Step-by-step explanation:

the formula for density is mass divided by volume (m/v). In this problem, you mus first find the volume of the square block. The formula for volume is length multiplied by width multiplied by height (LxWxH). To solve for volume you plug in the values to the equation: 6x4x2 = 48.

Now, you have the volume, and you have the density. Now you need to solve for mass. Plug in the values you have into the density equation (d=m/v):

7=m/48

to isolate M, multiply each side by 48. this leaves you with 7x48 = m. now all thats left is to solve. 7x48 = 336g. You can double check by plugging the values back into the equation. 336/48 = 7.

5 0
3 years ago
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