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3 years ago

11

Decimal to fraction .63

2 answers:

agasfer [191]3 years ago

6 0

.63 to a fraction = 63/100

Alexandra [31]3 years ago

4 0

Answer:

$\frac{63}{100 }$

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HELP ASAP<br> 1.A term that is a known number without variables. is called?

Natali5045456 [20]

Answer:

constants

Step-by-step explanation:

Constants are the terms in the algebraic expression that contain only numbers. That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.

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3 years ago

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

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3 years ago

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dalvyx [7]

Answer:

C

Step-by-step explanation:

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3 years ago

Mona stopped at a gas station where the price per gallon was $2.80. She spent $14 to fill up her car. What equation would repres

alina1380 [7]

Answer:

A.) 5 x 2.80 B.) 100

Step-by-step explanation:

14/2.80=5 which is how many gallons

5 x 20 = 100 for the miles

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3 years ago

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Find the missing term in the sequence 3 ,-1 ,- 5 ____ -13<br><br>a. -6<br>b. -7<br>c. -9<br>d. -11

Reil [10]

Answer:

C. -9

Step-by-step explanation:

The pattern is clearly subtracting 4 each time (or adding -4).

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3 years ago

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