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galina1969 [7]
3 years ago
14

What is 3x = 99 - 35x + 12 - 10 / 6

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0
Simplify both sides of the equation then isolate the variable
x=\frac{164}{57}
You might be interested in
The length of a rectangle is 5in longer than its width. If the perimeter of the rectangle is 46in, find its area
Crank
<span>width = x
</span><span>length = x+5

2x + 2(x+5) = 46
2x + 2x + 10 = 46
4x = 46 - 10
4x = 36
x = 36/4 </span><span>
x = 9 in  </span> ←  width 

length = x+5 = 9 + 5 = 14 in
<span>
Area = 9 * 14 = 126 in</span>²<span>

</span>
6 0
3 years ago
Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3
Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x


Add 15  tuna sandwiches

2x                       : 3x+15

Now the ratio is 1:3


egg sandwiches : tuna sandwiches

 1                         : 3

Multiply by y  because we do not know how many sandwiches, just the ratio

y                           : 3y


Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x


egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x

2*5                        3*5

10                             15


He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches  




5 0
2 years ago
Which of the following is a monomial???
aleksandrvk [35]
Monomial is a product of numbers and variables in any whole power.
Examples of monomials: 5, y, 2x, 2x⁷, 2xyz, 6x²y¹⁰⁰.
Monomial cannot have log,subtraction or addition, negative power.
x/y=xy⁻¹

So, only monomial here is A.y
7 0
2 years ago
Mrs. Cerra planted 4 ⅞ acres of wheat and 1 ⅝ acres of corn. How much more wheat did she plant than corn?
alukav5142 [94]
We can subtract the acres of corn from the acres of wheat.
4 \frac{7}{8} - 1  \frac{5}{8} = 3 \frac{2}{8} = 3  \frac{1}{4}
She planted 3 1/4 more acres of wheat than corn.
3 0
3 years ago
Write the values that make the denominators zero. then solve the equation?
Olin [163]

Answer:

  denominators are zero for x=1

  there is no solution

Step-by-step explanation:

We suspect your equation is supposed to be ...

  10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators

The denominators will be zero for x=1.

This version of the equation has no solution. It simplifies to ...

  2/(x-1) + 1/5 = 2/(x -1)

  1/5 = 0 . . . . . subtract 2/(x-1) from both sides

There is no value of x that will make this equation true.

_____

<em>Alternative interpretation</em>

The way your equation is written, it must be interpreted according to the order of operations to be ...

  (10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero

  2x -3.8 = 2/x

  2x^2 -3.8x = 2 . . . . multiply by x

  2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)

  (x -0.95)^2 = 1.9025

  x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}

4 0
3 years ago
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