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yawa3891 [41]
4 years ago
10

Solve this quadratic equation.

d="TexFormula1" title="2x {}^{2} - 5x + 2 = 0" alt="2x {}^{2} - 5x + 2 = 0" align="absmiddle" class="latex-formula">
​

Mathematics
1 answer:
wariber [46]4 years ago
4 0

Answer:

  x = 1/2 or 2

Step-by-step explanation:

You can factor this as ...

  2x^2 -4x -x +2 = 0 . . . rewrite the middle term to enable factoring

  2x(x -2) -1(x -2) = 0 . . . . factor by grouping

  (2x -1)(x -2) = 0 . . . . factor out (x -2)

  x = 1/2, 2 . . . . . . values of x that make the factors zero

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A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat
aivan3 [116]

The group rent 11 river rent tubes and 4 cooler tubes.

Step-by-step explanation:

Rent for river rent tube = $20

Rent for cooler tubes = $12.50

Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15    Eqn 1

20x+12.50y=270    Eqn 2

Multiplying Eqn 1 by 20

20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30

Dividing both sides by 7.5

\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4

Putting y=4 in Eqn 1

x+4=15\\x=15-4\\x=11

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/8520610
  • brainly.com/question/846474

#LearnwithBrainly

6 0
3 years ago
a recipe for pie crust calls for 2/3 cups of flour. a chef is making 1/2 of the recipe. how much flour should the chef use?
natka813 [3]

Answer:

1/3 cups of flour

Step-by-step explanation:

The recipe originally calls for 2/3 cups of flower.  However, if the chef only wants to make <u>half</u> of the recipe, we must divide the original recipe by 2.  Dividing by 2 is the same as multiplying by 1/2.

2/3 * 1/2 = 2/6 (multiply across)

Simplify 2/6 - 1/3.

8 0
4 years ago
Read 2 more answers
Mr. Ramirez burns 236 calories riding his bike each hour. He wants to burn more than 590 calories riding her bike at the same ra
s2008m [1.1K]

Answer:

t > 2.5

Step-by-step explanation:

590/236 = 2.5

t > 2.5

5 0
3 years ago
Camille is starting an exercise program. During the first week, she walked 3/4 mile every day. Every week she increased the dist
Oksanka [162]

Answer:

E

Step-by-step explanation:

Distance = 1/3(week -1) + ¾

= 1/3(7) + ¾

= 7/3 + 3/4

= 28/12 + 9/12

= 37/12 miles

4 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²
6 0
4 years ago
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