A 7/16-inch bolt is used in a machine. Whatis te length of the bolt written as a decimal

Answers

Answer 1

Answer: $(7)/(16)= (7)/(16)* (625)/(625) = (4375)/(10000)=0.4375$

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timmy has 180 marbles, some plain and some colored. if there are 32 plain more marbles than colored, how many colored marbles does he have?

Answers

180=x+x+32 180 is equal to x(amount of colored marbles) plus x+32 (amount of plain marbles)
180=2x+32
-32+180=2x
148/2=x
74=x

74 colored marbles and 106 plain

74 (180 - 32) / 2 because if there are 32 more than the other part, it is n + (n+32)

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

1. -4x² + 11x + 2 = 0
   x = -(11) ± √((11)² - 4(-4)(2))
   2(-4)
   x = -11 ± √(121 + 32)
   -8
   x = -11 ± √(153)
      -8
   x = -11 ± 3√(17)
   -8
   x = -11 ± 3(4.1)
      -8
     x = -11 ± 12.3
      -8
   x = -11 + 12.3 or x = -11 - 12.3
      -8    -8
   x = 1.3 or    x = -23.3
   -8     -8
   x = -0.1625    or x = 2.9125
   x ≈ -0.2    or x ≈ 2.9

The answer is B.

2. 4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
   2(4)
    x = 11 ± √(121 + 48)
      8
    x = 11 ± √(169)
   8
    x = 11 ± 13
       8
    x = 11 + 13 or x = 11 - 13
      8    8
    x = 24    or   x = -2
       8 8
   x = 3 or    x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

The areas of two similar polygons are in the ratio 64:81. find the ratio of the corresponding sides.

Answers

If the areas of two similar polygons are in the ration 64:81, then the ratio of their corresponding sides are $(8)/(9)$

What are polygons?

"A polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross."

The simple polygons are triangles (3 sides), quadrilaterals (4 sides), and pentagons (5 sides).

Now if we take the given polygon as square (4 sides).

Then,

Let the sides of squares are a and b.

$(a^(2) )/(b^(2) )=(64)/(81) \n(a)/(b)=\sqrt{(64)/(81) } \n(a)/(b)=(8)/(9)$

Hence, the ratio of the corresponding sides of polygon is $(8)/(9)$

Learn more about the polygons here

brainly.com/question/24464711

#SPJ2

Answer is 8:9. The easiest example is a square. If the polygons are squares with areas of 64 and 81 then the sides of the squares are 8 and 9. Therefore, the ratio of the corresponding sides is 8:9

1.)What is the only solution of 2x^2 + 8x = x^2 – 16?

Answers

If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

2 * x^2 + 8 * x = x^2 - 16
2 * x^2 - x^2 + 8 * x + 16 = 0
x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.

Answer:

x= -4

Step-by-step explanation:

took the test:)

In the figure below, hln. Find the values of z and y.

Answers

To find y:

$3y-14=180$

$3y=194$

$y=64.7$

To find z:

$180 - 64.7 = z$

$z = 115.3$

Help! Thanks!!!!!!!!!!!

Answers

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

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