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Tcecarenko [31]
3 years ago
12

The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of

the rectangle?
Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

You might be interested in
how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that
sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy (c_1)= \$ 12 per pound

           Cost of candy (c_2) = \$ 19\ per\ pound

           Total amount of mixture of be produced = 70\ pound

           Selling price of mixture = \$ 15 \ per\ pound

Let´s x be the amount of c_1 to be mixed in the mixture.

∴ Cost of c_1 in the mixture = 12x

Next, Cost of c_2 in the mixture = (70 - x)\times 19

And we know the cost of final mixture = 70 \times 15 = 1050

Now, putting all the value in the equation

⇒ 12x + 19 \times (70 - x) = 1050

⇒ 1330 - 7x = 1050

⇒ -7x = -280

∴ x = 40\ pound

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0
3 years ago
Refer to the sample data for​ pre-employment drug screening shown below. If one of the subjects is randomly​ selected, what is t
Musya8 [376]

Answer:

  • probability of a false positive test result = 0.010
  • The non-drug user will suffer from the result since it is positive

Step-by-step explanation:

The probability that the test result  is a false positive

total number of cases studied  (n) = 38 + 12 + 19 + 29 = 98

number of false positive cases ( x ) = 1

probability of false positive result = x / n = 1/98 = 0.010

The non-drug user will suffer from the result since it is positive

6 0
2 years ago
Casey wants to buy a gym membership. One gym has a $70 joining fee and cost $35 per month. Another Jim has no joining fee and co
irga5000 [103]

Answer:

same amount at 2 months. he'd pay 140.

Step-by-step explanation:

35(month) +35(month) =70(joining fee). 70+70=140. that's two months at the first gym.

the second gym is also 140 for the two months because each month is $70. and 70+70=140

6 0
3 years ago
What is the sum of 2/11’ 2/7’ and 1/11’?
pav-90 [236]
Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

21/77 + 22/77


Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

43/77

Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
6 0
2 years ago
Use the equation y+5=x/4 to fill in the missing values in the table below
-Dominant- [34]

Answer:

  1. .
  2. -2
  3. -5
  4. 20
  5. -12

Step-by-step explanation:

hope it helps

5 0
3 years ago
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