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pentagon [3]
3 years ago
12

Ben and josh share tips in the ratio 3:7 last week ben received £24

Mathematics
1 answer:
Rasek [7]3 years ago
7 0
We need to divide 24/3 to get a number that 1 gets. 
$8 per 1 in the ratio.
8 x 7 =
56.

Therefore, Josh got $56 in tips.

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70 palm trees are on that street
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Consider three events A, B and C with following properties.
lisov135 [29]
By the inclusion/exclusion principle,

\mathbb P(D)=\mathbb P(A\cup B\cup C)
\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)
\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}
\mathbb P(D)=\dfrac{16}{39}\neq1

So the union of A, B, and C does not constitute the entire sample space.
5 0
3 years ago
Find the value of two numbers is their sum is 21 and their difference is 3
kobusy [5.1K]

Hello from MrBillDoesMath

Answer:   12, 9

Discussion:

Let x be the first number and y the second number. The form the problem statement:

x + y = 21

x - y = 3


Add the two equations. This gives:

(x + x ) + ( y-y) = 21 + 3 =>

2x + 0 = 24 =>

x = 12

Since x -y =3, substituting in the value of x gives,  12 - y = 3 so y = 9


Thank you,

Mr. B

8 0
3 years ago
Read 2 more answers
A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression
Papessa [141]

Answer:

<u>This assumes that the question was meant to read:</u>

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (<u>3x+2</u>) centimeters."  <u>And not </u>"A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

<u>If the question was correctly written, then answer is:</u>

50x^2 - 50x + 9y^2  + 12 y  + 29

===============

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

<u>+ (3x+2) cm</u>

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = <u> +9y^2  + 12 y  + 4</u>

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

                       

8 0
2 years ago
Rewrite 1/(√x-5) in an equivalent form with a rational expression in the denominator.
sladkih [1.3K]

Answer:

1/(√x-5)*(√x+5)/(√x+5)

Step-by-step explanation:

1/(√x-5)*(√x+5)/(√x+5)

4 0
3 years ago
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