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qaws [65]
3 years ago
13

Musa is 47 years old and Dayo is 22 years old. How many years ago was the product of their ages i.e 836 years.​

Mathematics
1 answer:
shtirl [24]3 years ago
8 0

Answer:

3 years ago

Step-by-step explanation:

let m be Musa's age and d be Dayo's age

let x be number of years ago

m = 47

d = 22

(m - x)(d - x) = 836

(47 - x)(22 - x) = 836

1034 - 69x + x² = 836

x² - 69x + 198 = 0

This is in standard from ax² + bx + c = 0

Factor to be (x+q)(x+p)=0

p*q = c = 198

p+q = b = -69

198 = (-3)*(-66)

(-3) + (-66) = -69

Factored form is:

(x - 66)(x - 3) = 0

Set each bracket to 0

x - 66 = 0

x = 66 <= This number is inadmissable because neither Musa nor Dayo reached age 66.

x - 3 = 0

x = 3

The product of their ages was 836 3 years ago.

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B

Step-by-step explanation:

8 0
3 years ago
A spaceship is traveling at a steady rate. The table shows the distance the spaceship travels in a given period of time. Find th
nika2105 [10]

The distance of the spaceship in discuss as in the task content given can be evaluated as; 800miles.

<h3>What is the distance the spaceship travels in 4 minutes?</h3>

The distance travelled by the spaceship in discuss can be evaluated by means of the slope of the linear relationship as follows;

Hence it follows from ratios that by observation, the linear relationship has a slope of 200mi/min.

Consequently, we can evaluate the distance travelled after 4 minutes as;

Distance = 200 × 4 = 800mi.

Ultimately, the distance travelled per minute by the spaceship is; 800mi.

Remarks:

600 miles

520 miles

800 miles

1,080 miles

Read more on ratios;

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4 0
1 year ago
С
serious [3.7K]

Answer:

10.6 oz

Step-by-step explanation:

X × 0.25 = 0.265

x= 2.65/0.25= 10.6 oz

8 0
2 years ago
If 21 is added to a number the result is 40 less than twice the number what is the number?
Karolina [17]
If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40   Add 40 to both sides
x + 61 = 2x           Subtract x from both sides
      61 = x             Switch the sides to make it easier to read
       x = 61


7 0
3 years ago
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur
daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, <em>88 s</em>, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, <em>88 s</em>, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is <em>88 s.</em>

<em></em>

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

8=\underline{2}\times 2\times 2

22=\underline{2}\times 11

Common is 2.

Therefore the LCM will be:

2\times 2\times2\times 11 = \bold{88}

So, the answer is <em>88 s.</em>

5 0
3 years ago
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