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stira [4]
3 years ago
9

The sum of x and 3/5 is 5/7

Mathematics
1 answer:
lord [1]3 years ago
3 0

x = 5/7 - 3/5 = 25/35 - 21/35 = 4/35

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A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o
frutty [35]

Answer:

\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3

Step-by-step explanation:

Let a be the number of bags with 8 onions and let b be the number of bags with 3 onions. We have the following system of equations:

\begin{cases}a+b=7,\\8a+3b=41\end{cases}

Subtracting b from both sides of the first equation, we get a=7-b. Substitute this into the second equation:

8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}

Therefore, the number of 8-onion bags is:

a=7-b,\\a=7-3,\\a=\boxed{4}

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0
3 years ago
The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 110 inches. Find the length and the width.
nataly862011 [7]

Answer:

  • Length = 43 inches
  • Width = 12 inches

Step-by-step explanation:

Perimeter of a rectangle = 2 * ( L + W)

The length of a rectangle is 5 inches less than 4 times the width.

Assume the width is x. Length is:

4x - 5

Equation is therefore:

2 * (4x - 5 + x) = 110

4x - 5 + x = 110/2

5x - 5 = 55

5x = 55 + 5

x = 60/5

x = 12 inches

If width is 12 inches, then length is:

= 4x - 5

= 4 * 12 -5

= 43 inches

6 0
3 years ago
Write a problem that has two parts. then solve it by finding the whole
lozanna [386]
I ALREADY ANSWER THIS xdddddddddddddddddddddddddddddddddd
5 0
3 years ago
Simplify square root of 24 times square root of 2x times square root of 3x
sveticcg [70]
\sqrt{24} * \sqrt{2x} * \sqrt{3x} =  \sqrt{2*2*2*3}* \sqrt{2*x} * \sqrt{3*x} =  \sqrt{2*2*2*2*3*3*x*x} = 2*2*3*x = 12x
3 0
4 years ago
How would you solve this problem? (Worth 10 points, pls help!)
mrs_skeptik [129]

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

       (-38, 40) and (-23, 30)

      slope =   \frac{40-30}{-38-(-23)} = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

    y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

   40 = -2/3 (-38) + b

   40 = 76/3 + b

   40 - 76/3 = b

   b = 44/3

4. To find the x-intercept, set y = 0, and solve.

   y = -2/3 x + 44/3

   0 = -2/3 x + 44/3

   2/3 x = 44/3

   x = 22

Hope this helped!

5 0
3 years ago
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