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3 years ago

The sum of two numbers is 87. The difference of the same to numbers is negative 111. Find the numbers.

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

99 and - 12

Step-by-step explanation:

let x and y be the 2 numbers, then

x + y = 87 → (1)

x - y = - 111 → (2)

Adding the 2 equations term by term eliminates the y- term

2x = - 24 ( divide both sides by 2 )

x = - 12

Substitute x = - 12 into (1)

- 12 + y = 87 ( add 12 to both sides )

y = 99

The 2 numbers are 99 and - 12

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Sue either travels by bus or walks when she visits the shops. The probability that she catches the bus from the shops is 0.7. Sh

Alina [70]

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

$P(A \cup B) =0.72$ (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way $P(A \cup B) = 1 - P(A \cap B)$

$= 1 - 0.28\\= 0.72$

Hence, the probability that Sue walks at least one way is 0.72.

8 0

2 years ago

Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes

valentinak56 [21]

Answer:

<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>

Step-by-step explanation:

Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units

From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.

By the definition of rhombus, diagonals meet at right angles.

Implies that PQ = QA

x+2 = 3x - 14

x-3x=-14-2

-2x=-16

2x = 16

dividing by 2 on both sides, we will get,

$x =\frac{16}{2}$

<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>

The line segment $\overrightarrow{PA}=\overrightarrow{PQ}+\overrightarrow{QA}$