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1 year ago

If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?

Mathematics

1 answer:

OleMash [197]1 year ago

3 0

Answer:

25%

Step-by-step explanation:

George is 33 $\frac{1}{3}$ % ( $\frac{100}{3}$ %) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% + $\frac{100}{3}$ %

= $\frac{400}{3}$ %

= 133 $\frac{1}{3}$ %

Pete's percent poorer than George can be determined by;

= $(\frac{100}{3})$ ÷ $(\frac{400}{3} )$ × 100

= $(\frac{100}{3})$ × $\frac{3}{400}$ ×100

= 0.25 × 100

= 25%

Pete is 25% poorer than George.

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Jack was so frustrated with his slow laptop that he threw it out of his second story window. The height, h, of the laptop at tim

jeyben [28]

Answer:

The domain of the function is the interval [0,2.23]

see the explanation

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> the height of the laptop in units

we have

$h(t)=-16t^{2}+28t+17$

we know that

When the laptop hits the ground, the value of h(t) is equal to zero

For h(t)=0

$-16t^{2}+28t+17=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+28t+17=0$

$a=-16\\b=28\\c=17$

substitute in the formula

$x=\frac{-28(+/-)\sqrt{28^{2}-4(-16)(17)}} {2(-16)}$

$x=\frac{-28(+/-)\sqrt{1,872}} {-32}$

$x=\frac{-28(+/-)12\sqrt{13}} {-32}$

$x_1=\frac{-28(+)12\sqrt{13}} {-32}=-0.477$

$x_1=\frac{28(-)12\sqrt{13}} {32}=-0.477$ ---> is not a solution

$x_2=\frac{-28(-)12\sqrt{13}} {-32}$

$x_2=\frac{28(+)12\sqrt{13}} {32}=2.23\ sec$

therefore

The domain of the function is the interval [0,2.23]

All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

$0\ sec \leq x \leq 2.23\ sec$

5 0

2 years ago

Lori purchases a new set of watercolor paints and some canvases to create art for her next exhibit. The watercolor paint set cos

horrorfan [7]

Starting with the paints, we have 15$ as our base value. Next, since we add $24.50 for each new canvas bought, 24.5*x=the amount of money for x canvases. Therefore, since 15 is our base value, we have 15+24.5*6=162

7 0

1 year ago

Read 2 more answers

Work out percentage change to 2 decimal places when a price of £97 is increased to £99.99

Korvikt [17]

Answer:

2.99

Step-by-step explanation:

99.99 - 97 = 2.99

8 0

1 year ago

A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)

butalik [34]

Answer:

$|SU|=\sqrt{13}$

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

$|RT|=\sqrt{(8-1)^2+(5--1)^2}$

$|RT|=\sqrt{(7)^2+(6)^2}$

$|RT|=\sqrt{49+36}$

$|RT|=\sqrt{85}$

For the diagonal S(6,1) U(3,3)

$|SU|=\sqrt{(6-3)^2+(5-3)^2}$

$|SU|=\sqrt{(3)^2+(2)^2}$

$|SU|=\sqrt{9+4}$

$|SU|=\sqrt{13}$

Therefore the shorter diagonal is:

$|SU|=\sqrt{13}$

4 0

1 year ago

A discount of 16% saved Jackie $38 on office supplies. What was the price of the supplies before the discount?

madam [21]

You got 2 types of data $ and %!
Line them up accordingly and cross multiply.

16% is to $38 as
100% is to $x

X= 38•100/16= $237.5 the price before discount

8 0

1 year ago

Read 2 more answers