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tia_tia [17]
3 years ago
15

A student translated the phrase below into an algebraic expression, and then evaluated it for g = one-fourth. Is the student's w

ork correct? one-third more than the product of four and a number; evaluate when g = one-fourth The expression is StartFraction 4 Over g EndFraction + one-third; for g = one-fourth. StartFraction 4 Over 1 EndFraction divided by one-fourth + one-third = StartFraction 4 Over 1 EndFraction times StartFraction 4 Over 1 EndFraction + one-third = 16 + one-third = 16 and one-third.
Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0

Answer:

its the last one D.

Step-by-step explanation:

Did The Assignment .

iragen [17]3 years ago
6 0

Answer:

The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third

Step-by-step explanation:

The student was wrong in his evaluation because the correct result should be 1 1/3 (one and one-third) and not 16 and one-third

The expression '1/3 more than the product of four and a number' means

(4g + 1/3)

Evaluating the expression when g = 1/4

You will have

4×1/4 + 1/3

= 1/1 + 1/3

Find the LCM of 1 and 3 and add

= (3+1)/3

=4/3

= 1 1/3

The correct evaluation is 1 1/3 (one and one-third) and not 16 and one-third

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4 0
3 years ago
The city of Orlando’s building a dog park in downtown Orlando dog park will be triangular shaped as shown on the coordinate plan
kiruha [24]

Answer:

Perimeter of the dog park = 15.4 yards

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

P(1, 2), Q(1, 6), R(-4, 2)

Since distance between the two points (x_1, y_1) and (x_2,y_2) is,

d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Length of PQ = \sqrt{(1-1)^2+(2-6)^2}

PQ = 4

Length of PR = \sqrt{(1+4)^2+(2-2)^2}

PR = 5

Length of QR = \sqrt{(1+4)^2+(6-2)^2}

QR = \sqrt{25+16}

     = \sqrt{41}

     = 6.4 yards

Therefore, perimeter of the given triangle = PQ + QR + PR

                                                                       = 4 + 6.4 + 5

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4 0
3 years ago
Write expression without using exponents.<br><br> X^2
wariber [46]

Answer:

x(x) or x*x

Step-by-step explanation:

To write this in the expanded form you just multiply the base(x) by itself

6 0
3 years ago
Some values of a linear function are shown in this table:
viva [34]

9514 1404 393

Answer:

  5.5

Step-by-step explanation:

The rate of change is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

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The rate of change of this function is 5.5.

8 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tent
stira [4]

Answer:

See below for answer

Step-by-step explanation:

The radius of the sphere is 5 inches.   Correct?

Formula for the volume of a sphere is 4/3πr³

V = 4/3 · π · r³

V = 4/3 · π · 5³

V = 4/3 · π · 125

 V = 4/3 · 125 · π

 V = 500 /3 · π          

V =   523.3 cubic inches               Using π = 3.14  

if using π on the calculator  then V = 500/3 ·π = 523.6cubic inches

4 0
2 years ago
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