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andrezito [222]
3 years ago
6

Three times the smaller of two consecutive EVEN integers IS four less than twice the larger. What are the two integers?

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0
Set up:

x and x + 2 are the two consecutive even integers.

Here, x is the smaller integer and
(x + 2) the bigger integer.

The equation is 3x = 2(x + 2) - 4.

Can you take it from here?
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A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. if the original plot had
ladessa [460]
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
4 0
3 years ago
You're shopping for a new 45" HD TV.
Bezzdna [24]

Answer:

Best Buy 30% of 379.99=113.99

379.99-113.99=$266.00

Costco 15% 409.99=61.50

409.99-61.50=348.49

Target 25% of 399.99=99.99

399.99-99.99=300

Best Buy has the best offer.

Step-by-step explanation:

8 0
3 years ago
Please help!! Question is above in the image
klasskru [66]

9514 1404 393

Answer:

  $503.85

Step-by-step explanation:

The amortization formula can help with this.

  A = P(r/12)/(1 -(1 +r/12)^(-n))

where P is the loan value, A is the monthly payment, r is the annual interest rate, and n is the number of monthly payments.

We want to find P. All of the other values are given.

  P = A(1 -(1 +r/12)^-n)/(r/12)

  P = 32.48(1 -1.012667^-18)/(0.012667) = 31.48·16.0054

  P ≈ 503.85

The equivalent cash price is about $503.85.

7 0
3 years ago
Cos6x + cos2x + 2cos4x
Troyanec [42]

Step-by-step explanation:

everything can be found in the picture

6 0
3 years ago
Shawn sells 36 vehicles in 4 weeks. Brett sells 56 vehicles in 7 weeks .who seeks more vehicles per week
myrzilka [38]

Answer:

Shawn

Step-by-step explanation:

We can find the amount of vehicles sold in one week by dividing the total vehicles sold by the number of weeks

Shawn:

36 vehicles / 4 weeks

9 vehicles/week

Brett:

56 vehicles / 7 weeks

8 vehicles/week

9 is greater than 8 so Shawn sells more vehicles per week

4 0
3 years ago
Read 2 more answers
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