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2 years ago

The cost of phone is reduced by 30% new cost is 116.83 what was the original price of the phone

Mathematics

1 answer:

slava [35]2 years ago

3 0

Answer:

p = $116.83/0.70 = $166.90

Step-by-step explanation:

let p represent the original price. Then:

(1.00 - 0.30)p = $116.83, or

0.70p = $116.83.

Finally,

p = $116.83/0.70 = $166.90

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Juan put three square tiles with sides 8 centimeters, 10 centimeters, and x centimeters together so that they form a right trian

Elan Coil [88]

Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to $x^{2}$ .
$A = x^{2}$ ---> equation (1)
By using pythagoras rule which states that the $x^{2} = hyp^2 - opposite^2$ ---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
$x^{2} = 10^{2} - 8^{2}$ substitute this value in equation (1) then
$A = x^{2} = 10^{2} -8^{2}$
where A is the area of the square whose side is x

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2 years ago

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If h:k = 2:5, x:y=3:4 and 2h+x:k+2y = 1:2, find the ratio h-x: k-y.

fenix001 [56]

Given:

$h:k=2:5,x:y=3:4,2h+x:k+2y=1:2$

To find:

$h-x:k-y$

Solution:

We have, $h:k=2:5$ and $x:y=3:4$ .

Let the values of h and k are 2a and 5a respectively.

Let the values of x and y are 3b and 4b respectively.

We have,

$2h+x:k+2y=1:2$

It can be written as

$\dfrac{2h+x}{k+2y}=\dfrac{1}{2}$

$\dfrac{2(2a)+(3b)}{5a+2(4b)}=\dfrac{1}{2}$

$\dfrac{4a+3b}{5a+8b}=\dfrac{1}{2}$

$2(4a+3b)=1(5a+8b)$

On further simplification, we get

$8a+6b=5a+8b$

$8a-5a=8b-6b$

$3a=2b$

$a=\dfrac{2b}{3}$

Now,

$h-x:k-y=\dfrac{h-x}{k-y}$

$h-x:k-y=\dfrac{2-3b}{5a-4b}$

$h-x:k-y=\dfrac{2\times \dfrac{2b}{3}-3b}{5\times \dfrac{2b}{3}-4b}$

$h-x:k-y=\dfrac{\dfrac{4b}{3}-3b}{\dfrac{10b}{3}-4b}$

On further simplification, we get

$h-x:k-y=\dfrac{\dfrac{4b-9b}{3}}{\dfrac{10b-12b}{3}}$

$h-x:k-y=\dfrac{-5b}{-2b}$

$h-x:k-y=\dfrac{5}{2}$

$h-x:k-y=5:2$

Therefore, the ratio $h-x:k-y$ is $5:2$ .

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1 year ago

LeAnn is purchasing giftwrap for a box that measures 8 inches long, 6 inches wide, and 6 inches tall. Calculate the total area o

Pavel [41]

Let

L---------> the length side of the box

W--------> the width side of the box

H-------> the height of the box

we know that

$L=8\ in\\W=6\ in\\H=6\ in$

the surface area of the box is equal to

$S=2*area\ of\ the\ base+perimeter\ of\ the\ base*H$

Find the area of the base

$A=L*W=8*6=48\ in^{2}$

Find the perimeter of the base

$P=2*L+2*W=2*8+2*6=28\ in$

Find the surface area

$S=2*48+28*6$

$S=264\ in^{2}$

therefore

the answer is

the total area of the box that will be covered in gift wrap is $264\ in^{2}$

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2 years ago

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kati45 [8]

Answer: The probability that the fourth marble Amy picks is black $=\frac{8}{15}$

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Step-by-step explanation:

To find the probability that in the fifth attempt she will pick a red or a black marble P(R∩B) .

The total marble in beginning=6+4+8=18

After 3 attempts, the total marbles left=18-3=15

The number of black marbles =8

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As four marble has already picked up, then the total marbles left in the box

=18-4=14

Now, as a red marble is already picked in 1st attempt , the number of red marbles in the box now= 4-1=3

And a black marble is already picked in fourth attempt , the number of black marbles in the box now= 8-1=7

Now P(R∩B)=P(R)+P(B)= $\frac{3}{14}+\frac{7}{14}=\frac{10}{14}=\frac{5}{7}$

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Answer:

Step-by-step explanation:

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