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sweet [91]
2 years ago
5

The dimensions of the computer screen are modeled by the equation x2 + (x – 4)2 = 202. What is the value of x, the length of the

screen?
Mathematics
1 answer:
Mars2501 [29]2 years ago
3 0

Answer:

x = 11.85

Step-by-step explanation:

x^2+(x-4)^2=202

x^2+(x-4)(x-4)=202

x^2 + x^2 - 4x - 4x + 16 = 202

2x^2 - 8x + 16 = 202

2x^2 - 8x - 186 = 0

Apply the quadratic equation and you'll get x as:

x=11.85 or x=-7.85

x cannot be negative

therefore x = 11.85

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A coffee shop plans to blend a coffee that sells for $12 per pound with coffee that sells for $9 per pound to produce a blend th
zvonat [6]

Answer:

20/3 pounds of coffee that costs $12 per pound  and 40/3 pounds  of coffee that costs $9 per pound are required

Step-by-step explanation:

Let x be the amount of coffee that costs $12 per pound

Cost of x amount of this type coffee = 12x

We are supposed to find How much of each should be used to produce 20 pounds of the new blend that costs $10 per pound

So, Amount of coffee required that costs $9 per pound = 20-x

Cost of (20-x) amount of this type of coffee = 9(20-x)

So, 12x+9(20-x)=10(20)\\12x+180-9x=200\\3x=20\\x=\frac{20}{3}

Amount of coffee that costs $12 per pound required is\frac{20}{3} pounds

Amount of coffee that costs $9 per pound required = 20-x=20-\frac{20}{3}=\frac{40}{3} pounds

Hence 20/3 pounds of coffee that costs $12 per pound  and 40/3 pounds  of coffee that costs $9 per pound are required

8 0
4 years ago
What could a person collecting data for a survey do to avoid age bias in the results?
Rudik [331]

Answer:

The online survey  has large biases concerning representativeness. Regarding the behavioural characteristics of consumers, the face-to-face data delivers the best results, followed by the telephone interviews and finally the online survey.

Face-to-face surveys still deliver the most representative results. Telephone surveys may provide a good alternative, but we would advise use of a larger sample. The online  survey needs to be corrected, one should relinquish representativeness.


4 0
3 years ago
june is working on an addition problem and stars with 17,985. which property of addition did june use how do you know
Lapatulllka [165]
It depends on what was added. If an ADDEND was 0 then it would be identity property of addition, which states that if 0 is added to a number, the number would stay the same. If the SUM was 0, then it would be inverse property of addition, which states that a number plus it's opposite equals 0.
4 0
3 years ago
Rileys parents got a cell phone plan that has a $40 monthly fee for the first phone. For each extra phone, there is a $15 phone
Solnce55 [7]
Okay. So when it comes to combining like terms, they should have the same variable and power. They dont have to be the exact same number, but they should at least have the same terms. In the expression 40 + 15e + 10e, 15e and 10e both have like terms, because they have the same variable. 15e + 10e is 25e. 40 has no like term, so that is left alone. The expression simplified is 40 + 25e.
5 0
3 years ago
Is 1/9+1/8 closer to 0.5 or 1/2? explain.
xenn [34]

Answer:

Well 0.5 is the same as 1/2 but I'll try to help.

Step-by-step explanation:

1/9+1/8 is 0.2361. That would honestly be closer to zero but the way that it is worded, it is closer to 1/2 because you are using fractions in the problem. If you were using decimals, I would use 0.5

5 0
3 years ago
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