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Soloha48 [4]
3 years ago
13

Rachel mows 5 lawns in 8 hours. At this rate, how many lawns can she mow in 40 ?hours?

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

Answer: 25 lawns will be mowed in 40hrs

Step-by-step explanation:

First step: we turn the word problem into an equation:

From the information given;

5 lawns = 8 hours

X lawns = 40 hours

We cross multiply:

8x = 40 x 5

8x = 200

Divide both sides by 8

x = 200/8

= 25

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The sum of 14 and a number is equal to 17
sdas [7]
14 + x = 17   There you go
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Enter the fraction as a sum of unit fractions.3/18=18/blank+18/blank+18/blank help pls
olya-2409 [2.1K]

I uploaded the answer to a file hosting. Here's link:

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5 0
2 years ago
How many solutions does the following equation have? 10x-1=10x+4
zimovet [89]
  • Your answer is no solution.
  • Because if we transpose 10x to the left hand side with a change in the symbol, then it will become 0.
  • 10x - 1 = 10x +4
  • or, 10x - 10x = 4 + 5
  • or, 0 = 9
  • Hence, the equation has <em><u>no solution</u></em>.

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0
2 years ago
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If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

8 0
3 years ago
Write the value of the expression 3^3/3^6
scZoUnD [109]

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

6 0
3 years ago
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