Emilio's family is going on vacation. His mom and sister leave at
7:00 in the morning, driving an average of 45 miles per hour.
Emilio and his dad leave at 8:00. His dad drives an average of
60 miles per hour.
Will Emilio and his dad catch up to his mom and sister?

Answers

Answer 1

Answer:

3 hours

Step-by-step explanation:

This is an LCM of least common multiple problem. The GCF of 60 and 45 is 15 and 45/3=3. So the LCm of these 2 numbers are 60x3=180 minutes or 3 hours

Answer 2

Answer:

3 hours is the answer

Step-by-step explanation:

answer


Related Questions

simply the ratio 3:9

Answers

Answer:

1:3

Step-by-step explanation:

The ratio 3:9

3/9=1/3

=1:3

steve has 18 more dollors than joe. what the algebraic expression that represents the amount of dollors steve has

Answers

Answer: s = j + 18

Step-by-step explanation:

Let's say Steve's money can be represented as s, and Joe's money as j.  Because Steve has 18 more dollars than Joe, simply add 18 to Joe's money to solve for s.

Hope it helps :) and let me know if you want me to elaborate.

The sum of the first 10 terms of a linear sequence is 5 and the sumof the next 10 terms is 215. Find the sequence.​

Answers

Answer:

The first term of the sequence is -8.95 with a common difference of 2.1.

The sequence is:

-8.95, -6.85, -4.75, -2.65...

Step-by-step explanation:

We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.

And we want to find the sequence.

Recall that the sum of an A.P. is given by:

S = k / 2 ( a + xk)

Where a is the first term, k is the number of terms, and x_k is the last term.

We can represent our term values with the direct formula:

Xn = a + d (n-1)

Where the first term, x₁ = a.

The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:

(5) = 10/2 (a+xk)

5 = 5(a+(a+9d))

2a + 9d = 1

The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:

(215) = (10)/2 (a + xk)

215 = 5((a+d(11-1))+(a+d(20-1)))

2a + 29d = 43

This yields a system of equations:

[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]

Solve:

(2a + 9d) + (-2a - 29d) = (1) + (-43)

-20d = -42

d = 2.1

Consequently:

a = 1/2(1-9d)

= 1/2(1-9(2.1))

= -8.95

In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.

The sequence is:

-8.95, -6.85, -4.75, -2.65...  

BD bisects ABC. m ABC = (5x – 4) CBD = (3/2x+21) what's kind if angle is ABC ​

Answers

Answer:6 this is the answer

Five more than seven time a number is ninerty-six.what is the number?

Answers

Answer:

5x + 6 ≥ 21

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

10495 divide 530 x 48939 - 283 + 38920 =?

Answers

Answer:

1007721.54

Step-by-step explanation:

You first divide 10495 divide 530 which equals 19.8. Then you multply it by 48939 and get 969084.53. Then you add 38637 to 969084.53. Coulda just used a caculator.

The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.

Answers

Answer: 21120 feet.

Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.

The distance travelled by sound in 20 seconds is 21120 feet.

What is speed?

In unit time the distance covered by any object is called speed.

In mathematical term, Speed is express as S=D/T,

where S=speed, D=distance, T= time.

Given that,

The speed of sound = 720 miles per hour.

According to given condition,

1 hour = 720 miles

Since, 1 hour = 60 minutes

60 minutes = 720 miles

1 minute = 12 miles.

1 minute = 60 seconds

60 second = 12 miles

1 second = 12 / 60  = 1/5 miles

20 second = 20 / 5 = 4 miles

According to given condition,

1 mile = 5280 feet

Therefore,

20 second = 5280 x 4 = 21120 feet

The distance travelled in 20 seconds is 21120 feet.

To know more on Speed on

https://brainly.com/question/4926312

#SPJ5

find the measure of each angle indicated.

Answers

Same side interior angles have a sum of 180 degrees
49 + x = 180 degrees
x = 180 - 49 = 131 degrees

Solution: 131 degrees

There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?

Answers

25% of 28 is 7.
The club decreased to 7 ski members

Answer:

210

Step-by-step explanation:

25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.

can someone please help​

Answers

E, C, F are the answers.

The interest on $2,000 for two years is $320 what is the simple interest rate.

Answers

Answer:

$640

Step-by-step explanation:

im actually not too sure. i think thats right

Answer:

320

Step-by-step explanation:

how do you convert decimal to fraction ​

Answers

you convert decimals to fractions by how much more numbers are after the point the more 0Answer:

for example 0.2=2/10  and0.25= 25/100

and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100

Step-by-step explanation:

A carpet measures 7 meters 3 decimeters in length and 4 meters 2 decimeters in width. What is its area in square meters?

Answers

Answer:

C

Step-by-step explanation:

change decimetres into metres

length - 7.3m

Width - 4.2m

to find an area, do length times width

7.3 x 4.2 = 30.66 square metres

I hope this helped :)

Answer:

C. 30.66 square meters

Step-by-step explanation:

The equation for area is A = L × W

L = length

W = width

Because a demimeter is 1 tenth of a meter your new measurements are 7.3 and 4.2.

multiply the measurements to find the area of 30.66² meters

HELP PLEASE FAST!!!!

Answers

Answer:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

This is not a function

Step-by-step explanation:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

Since one x value gives two points for y

this is not a function

the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?

Answers

First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.

a^2 + b^2 = c^2

Substitute

a^2 + (5)^2 = (20)^2

Solve for a^2

a^2 = (20)^2 - (5)^2

Solve for a

a = 5 √15

The slope will be rise over run

5/5 √15 = √15/15 or 0.258…

five times a number increased by seven is equal to forty-seven what is the number

Answers

Answer:  The number is 8

Please mark brainliest

Step-by-step explanation:

8 is the value of the unknown number 'x' from the equation 5x + 7 =47.

What is linear equation?

" Linear equation is defined as the algebraic expression which has highest power of the given variable equals to one."

According to the question,

'x' represents the unknown number.

As per the condition given linear equation we get,

   5x + 7 = 47

Add (-7) both the sides

5x + 7 + (-7) = 47 + (-7)

⇒5x = 40

Divide by 5 both the sides we get,

(5x) / 5 = 40 / 5

x = 8

Hence, 8 is the value of the unknown number 'x' from the equation 5x + 7 =47.

Learn more about linear equation here

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if "-3(y-10=9" what is the value of y-12

Answers

Answer:

the correct answer is -5 since y=7

18917-8- 1819-7 18918

Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560

Answers

Answer:

k

Step-by-step explanation:

What is the relationship between mass, density and volume? Provide and example that involves calculating population density.

Answers

Answer:

Density is directly related to the mass and the volume. In fact, it tells us of the exact relationship between the two. To find an object's density, we take its mass and divide it by its volume. If the mass has a large volume, but a small mass it would be said to have a low density.

Step-by-step explanation:

If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
WILL MARK BRAINLIEST AND IS WORTH 100 POINTS

Answers

Answer:31

Step-by-step explanation:

It is 31 so ur welcome

Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.

Answers

https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html

Solve.

−19 = −0.5k

K=

Answers

Answer:

38

Step-by-step explanation:

k= - 19 / - 0.5= -19*-2=38

Find the measure of angle x in the figure.

Answers

Answer:

8

Step-by-step explanation:

We know that angles in a triangle add up to 180, so:

5x-60+2x+40+3x-80=180

Simplify

10x-100=180

Solve

Subtract 100 from both sides

10x=80

Divide 80 by 10 to find x

x=8

please help asap…………

Answers

Answer: linear

Step-by-step explanation:

HELP ME ANSWER THIS PLEASE

Answers

Answer:

I think it is -162

Step-by-step explanation:

Easy maths question 20 points and brainliest

Answers

Answer:

a = 2; b = 1 and c =3

Step-by-step explanation:

2(q +p) = 1 + 5q

2q + 2p = 1 + 5q

2p = 1 + 3q

2p - 1 = 3q

[tex]\frac{2p -1}{3} = q[/tex]

Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!

Answers

Step-by-step explanation:

maybe you can try to measure each of the ways maybe and you can get the equation

x+3y-xy=3
x^2+y^2+xy=3

Answers

Answer:

Y = 1

Step-by-step explanation:

on a graph this would be a circular shape and y= 1

help me find a please

Answers

Answer:

Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36

Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X

Answers

x + 4 - 3 = 1

x + 1 = 1

x = 0

Answer:

x = 8

Step-by-step explanation:

√x + 4 - 3 = 1

1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3

2) Simplify the right side: √x + 4 = 4

3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16

4) Move the constant term to the other side: x + 4 = 16 – 4

5) Simplify the right side: x + 4 = 12

6) Move constant side to the other side: x = 12 – 4

7) Finally, after simplifying the right side again, you get: x = 8

Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.

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