Answer and explain please ill mark brainliest!!!!!!!!

Answer:

Yes, Elias got his food before reaching the potluck.

Step-by-step explanation:

Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?

Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)

When the two meet, it means that the distance is equal. Remember, distance = time * speed.

Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.

We can write this equation for the distance Elias traveled.

0.25 * 12 + 12 * x

And this equation for the distance his parent traveled.

30 * x

These equations need to be equal so that the two meet.

0.25 * 12 + 12 * x = 30 * x

Simplify.

3 + 12x = 30x

Subtract 12x from both sides.

3 = 18x

Divide both sides by 18.

x = 1/6

So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.

If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.

Plug 1/6 in for x.

0.25 * 12 + 12 * 1/6 =

3 + 2 = 5

Elias traveled 5 miles before his parent met him.

So, Elias did get his food before reaching Leaders.

Just in case, let's double-check this answer.

Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.

Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:

(1/6 + 1/4) * 12 =

(4/24 + 6/24) * 12 =

10/24 * 12 =

120/24 = 5 miles

Thus, the previous answer is right.

I hope this helps! Feel free to ask any questions!

Find the slope of the line that passes through (8,7) and (5,5)
​

Type your answer in the box.

y = 10 b = 6

How many fourths are equal to 1/2? Please help!

whoever gets this correct gets brainliest

1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the
two numbers.

If you answer this you will get 69 points but please answer asap

The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?

1 3/8 equations that are true and different
​

Find the length of the midsegment of the trapezoid.

The distance around a tree trunk is 69.08 inches. What is the radius of the tree?

if you know that there are 60 minutes in an hour how could you find the number of hours in 300 minutes​

help me Graph -x -2y=4

Simplify the radical expression 4√13-6√13+10√13

A bear loves visiting his friend, the piglet. The distance between their houses is 300m , and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking —1 of the 4 distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take?

What is it’s equation in point slope form?

Which of the following is a statistical question?

What color is the principal's car?

What is the most common color car in the school parking lot?

Does Jalen own a cell phone?
What is your favorite color?

HELP

Eu Conversion w decal values.
A multivitamin tablet contains 18.5 mg of calcium. How much calcium does a bottle of 60 tablets contain?
Write your answer in grams.

I’m not good at math can someone please help me with this .

factor this quadratic polynomial -8x^2+8​

First one to answer gets BRAINLIEST no cap look at the picture.

16 and 3/5 - 4 and 4/5 equals

Silvia was growing some plants. She measured the height, in inches, of the plants and made thisline plot to show her data:

( please help will give brainliest if you do and do trolling or I’ll report you)

what is 2 - 1/8
???????????????????????

Felicia and gabriella are on the hamilton middle school basketball team. The box plots show the number of points they scored in 8 basketball games.

solve this system of equations by graphing . first graph the equations then type the solution .

y=1/5x-5
y=-3/5x-1

PLEASE HELP ILL GIVE 40 POINTA PLEASE DONT SKIP:(((

At a sale this week, a suit is being sold for $217. This is a 38% discount from the original price. What is the original price?

one hectameter is =how much cm?
A=100
B=10000
C=10
D=1000​

The solution of f (x) = -3 (2)^x and g(x) =x-14 is x = ____

Malik joins a gym. He gets $2 per month of the regular monthly rate for 3 months. Malik pays $49.50 for 3 months. What is the gym's regular monthly rate, Show your work​

The blue shaded area of the graph described what about this function shown in the picture?