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sp2606 [1]
3 years ago
5

Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?

Mathematics
2 answers:
Lera25 [3.4K]3 years ago
5 0

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

Margaret [11]3 years ago
3 0

Answer:

P = 25

A = 33

Step-by-step explanation:

P + 8 = A

P + 9 + A + 9 = 76

P + A = 58

~~~~~~~~~~~~~~

P = 58 - A

P = 58 - P - 8

2 P = 50

P = 25

A = 33

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What fraction is equal to 75% of 1/4
Nitella [24]

Answer:

3/16

Step-by-step explanation:

75/100 × 1/4

3/4 × 1/4

3/16

Answer

6 0
3 years ago
Read 2 more answers
The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is
timofeeve [1]
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0
3 years ago
Read 2 more answers
The product of two numbers is 41. One of the numbers
shepuryov [24]
<h3>Answer:   5 - 4i     (choice A)</h3>

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

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

3 0
2 years ago
Determine the product of (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
likoan [24]

Answer:

Step-by-step explanation:

a) = 46.2 X 10∧-1

   =0.462

b) = 5.7 x 10∧-6

   = 0.00057

3 0
3 years ago
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