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2 years ago

If the exchange rate when converting US dollars to Za rands is $1=R17

Mathematics

1 answer:

den301095 [7]2 years ago

8 0

<h3>Given:</h3>

1 US Dollar= R17

How much is $100 in ZA rands.

<h3>Solution:</h3>

Let the unknown be "x"

$\frac{1}{17}×\frac{100}{x}$

We'll have to do cross multiplication.

So we'll have to multiply 100 and 17.

$100×17$

$\huge\boxed{= 1700 \: ZA \: rands}$

Therefore, $100 is 1700 ZA rands.

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A delivery truck drove 48 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two town

Arte-miy333 [17]

D=(48)(4)
d=192 miles.
The distance between the two towns is 192 miles.

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3 years ago

Read 2 more answers

The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?

Y_Kistochka [10]

Answer:

(x-4)(x+5) or x^2+x-20

Step-by-step explanation:

If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.

The same goes for if a root is -5. it will simplify to x+5.

These are called factors of a quadratic equation.

Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20

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2 years ago

Which equations support the fact that rational numbers are closed under addition?

scoundrel [369]

Answer:

3/16+3/16=6/16

Step-by-step explanation:

HOPE ITS HELP YOU

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3 years ago

WILL MARK BRAINLEST

MAXImum [283]

Answer:

What is factoring?

Factoring is finding what to multiply to find an expression. It is like splitting expression into a multiplication of simplified expression.

Why is it useful to try to factor out the GCF first when factoring?

Greatest common factor or GCF of two numbers is the largest number that divides evenly in both numbers, GCF works the same in polynomials, which divide the expression evenly .

Explain the relationship between factoring and multiplying polynomials. Give an example to help explain

Factoring take away the multiplication, to factorize a polynomial it means take apart what is multiplied. the best example is a²+b²+2ab ( multiplied)

factorize :(a+b)(a+b) take apart what is multiplied

Factor x^2-25, 3x^2-12x-15, and x^3+2x^2+3x+6

x²-25 =(x+5)(x-5)

3x²-12x-15 = 3(x²-4x-5) GCF=3

3(x-5)(x+1)

x³+2x²+3x+6 (x+2) common factor

(x+2)(x²+3)

What are the key features needed to graph a polynomial function?

the key features are the vertex, axis of symmetry, x and y intercept

Explain how to find these key features to sketch a rough graph of a polynomial function

parabola : y=ax²+bx+c

ex: 3x²-12x-15

find vertex (h,k)

h=-b/2a =-(-12)/2(3)=2

k=f(h)=f(2)=3(2)²-12(2)-15

k=12-24-15=-27

vertex=(2,-27)

x intercept is when the graph =0 (y=0)

y intercept when x=0 then y= the constant c and where the graph cross the y axis

axis of symmetry is the x of the vertex: is a line about which a parabola is symmetrical and vertical when the axis of symmetric is vertical.

Why would someone want to factor a polynomial? Provide real world examples of different questions we can answer or facts we can determine from factoring a polynomial.

factor a polynomial helps us understand more about equations,factoring helps us rewrite the polynomial into simpler expression.

example from real life:

A homeowner has a back yard and wants to turn it to garden beds so he can plant his vegetables, he wants to fill it with dirt he needs 240 cubic feet to fill it the length is 4 feet than the width , and the height is 4

solve:

length=W+4

height=1/3 w

V=length* width* height

240=(w+4)(w)(4)

351= 4w²+16w

4w²+16w-240=0

take 4 as common factor

4(w²+4w-60)

now factorize:

4(w-6)(w+10)=0

Step-by-step explanation:

PLEASE BRAINLIEST

4 0

2 years ago

the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

According to question

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

Similarly

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

Now, Again

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0

3 years ago