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amid [387]
3 years ago
11

) a) Liaqat gave his uncle a puzzle. "five times my age plus 10 years makes 70 years." How old is Liaquat? b) His uncle replied,

"four times my age, less than 10 years ,is 130." How old is Liaqat's uncle?
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

a. 12 years

b. 30 years

Step-by-step explanation:

a) Assume Liaqat's age is x. His age would be:

5x + 10 = 70

5x = 70- 10

x = (70 - 10) / 5

x = 12

<em>Liaqat is 12 years old.</em>

b. Assume his uncle's age is y;

4y - 10 = 130

4y = 130 - 10

y = (130 - 10) / 4

y = 30

<em>Liaqat's uncle is 30 years old. </em>

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Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after t
lesantik [10]

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

<h3>How to determine the total length?</h3>

The given parameters are:

  • Proportion of sleep = 21%
  • Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

Read more about lengths at:

brainly.com/question/24487155

6 0
2 years ago
Write in point-slope form an equation for the line through the points (6, 10) and (12, 14).
PIT_PIT [208]

Answer:

4/6

Step-by-step explanation:

14-10

--------   = 4/6

12-6

8 0
4 years ago
Read 2 more answers
Need help fast thank you​
ruslelena [56]

Answer:

a

Step-by-step explanation:

the answer is a because thats the answer.

4 0
3 years ago
Read 2 more answers
A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible
Semmy [17]
The standard equation of a parabola is:

(y-k) = a(x - h)² , where h and k are the coordinates of the Vertex
 
Since the vertex is ( - 5 , -7), then :

(y +7) = a (x + 5)².
It's given that the vertex is a minimum, that means the coefficient a>0 and the parabola is open upward.

Depending on the value of a (always a>0) , the equation :

y = a(x-5)² + 7 is a parabola


8 0
3 years ago
At 10:00 AM a truck started traveling from point A with a speed of 40mph. 3 hours and 10 minutes later a car started to drive fr
maks197457 [2]

Answer:

12:07 pm

Step-by-step explanation:

The question is on relative speed

<u>Calculate the distance covered by truck after 3hours and 10 minutes</u>

Given; speed of truck= 40mph

Time the truck took to travel before the car started to drive from point A= 3h 10 minutes

Change hours to minutes= (60×3) + 10 = 190 minutes

Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time

if S=d/t then distance d=S×t

d= 40×190/60 =380/3 =126.67 miles

<u>Finding the time the car catch up with the truck</u>

t=d/S where d=126.67 miles and speed of car = 60mph

t= 126.67/60 = 2.11 hours

Change hours to minutes

1 hr=60minutes

2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes

t⇒2 hrs 7minutes

Add to the departure  time

10.00 + 2: 07 = 12:07 pm

7 0
3 years ago
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