Alberto left the airport and traveled toward the capital. One hour later Danielle left traveling 10 km/h faster in an effort to catch up to him. After five hours Danielle finally caught up. What was Alberto's average speed?​

Answers

Answer 1

Answer:

Step-by-step explanation:

Alberto traveled v km/h.

After 1 hour they are v km apart.

Danielle travels (v+10) km/h.

The distance between them decreases by 10 km/h.

They meet in 5 hours, after Danielle has traveled 5v+50 km and Alberto has traveled 6v km.

6v = 5v+50

v = 50 km/h

Alberto travels 50 km/h


Related Questions

-8=1/2(-4)+b what is b

Answers

Answer: -6

Step-by-step explanation:

Answer:

B = - 6

Step-by-step explanation:

Multiply the numbers

[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]

Rearrange terms

[tex]-8=-2+b\\-8=b-2[/tex]

Add 2 to both sides of the equation

[tex]-8=b-2\\-8+2=b-2+2[/tex]

Simplify

Add the numbers

Add the numbers

Move the variable to the left

[tex]b=-6[/tex]

Solve for x: -3x +10 = 31

Answers

Answer:
x = -7

Explanation:
-3x * -7 = 21
21 + 10 = 31

Answer:

x= -7

Step-by-step explanation:

-3x=21 .    subtract 10 from 31

then you divided by 3

x= -7

Solve the following problems. Rajesh jogged 3/4 mile and then walked 1/6 mile to cool down . how far did he travel?

Answers

Answer: 11/12 or if you want to pit it in decimal

Use 0.90

Step-by-step explanation:

What is the value of F(x)=3X^2 + 4 when x = -3

Answers

Answer:

31

Step-by-step explanation:

f(-3)= 3(-3)2+4= 3(9)+4= 27+4= 31

if my answer helps please mark as brainliest

Is a iready diagnostic score 483 for a 8th grader in math good?

Answers

Answer:

yes

Step-by-step explanation:

can learn lot and get better.

10 PTS

NEED HELP ASAP

Answers

Answer:

C (3x2)x8+7

Step-by-step explanation:

Choose the graph of the inequality - 3 > ..
Choose 1 answers
5
.4
-3
2
1
0
1
2
3
4
5
2
1
0
1
2
3
4
5
CO
-3
2.
0
1
3
4
5

Answers

Answer: 5

Step-by-step explanation: 5 isn’t equal to all

Check for understanding:
Use < or > to compare the following: 45.112_45.15 (Explain your answer)

Answers

Answer:

you use the < sign because 45.112 is less than 45.15

Step-by-step explanation:

Hans spent three days baking 224 cookies. on the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day. how many cookies did he bake on the second day?​

Answers

Answer:

She baked 32 cookies the first day, and 32*2=64 the second day.

Step-by-step explanation:

please help me find this out please

Answers

Answer:

can you zoom in on the questions?

Step-by-step explanation:


Graph the linear function using slope intercept form
y=2x+6

Answers

Start in the middle and go up 6 then draw a dot, after that you go up two and right one and do it all the way you can and then to go the opposite way go down two and left one. Hope this helps
The slope will be 2 the y intercept will be (0,6)

Ms. Hart paid $300 for 6 admission tickets and a $15 parking pass for an amusement park.

What is the cost of one admission ticket?

The cost of one admission ticket is $

Answers

Answer:

The cost of one admission ticket is 47.5

A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?

Answers

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

What is the estimate for each expression? Drag the number to each box.

011/2
Expression Estimate

1
8
+
2
5


13
14

1
10


1
12
+
1
20

Answers

The estimate for the first expression is [tex]\frac{1}{2}[/tex].The estimate for the second expression is 1.The estimate for the third expression is 0.

Given the following expression:

[tex]\frac{1}{8} + \frac{2}{5}[/tex][tex]\frac{13}{14} -\frac{1}{10}[/tex][tex]\frac{1}{12} + \frac{1}{20}[/tex]

To determine an estimate for each expression:

What is a fraction?

A fraction can be defined as a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

The parts of a fraction

Generally, a fraction comprises two (2) main parts and these include:

Numerator: it's the upper part of a fraction.Denominator: it's the lower part of a fraction.

In this exercise, we would simplify and estimate the given expressions as follows:

Note: An estimate simply means an approximate value.

a. [tex]\frac{1}{8} + \frac{2}{5}=\frac{5+16}{40}=\frac{21}{40}[/tex]

For the estimate:

[tex]\frac{1}{8} + \frac{2}{5}=\frac{1}{2}[/tex]

b. [tex]\frac{13}{14} -\frac{1}{10}=\frac{130-14}{140} =\frac{116}{140} =0.83[/tex]

For the estimate:

0.831

c. [tex]\frac{1}{12} + \frac{1}{20}=\frac{5-3}{60} =\frac{2}{60} =0.03[/tex]

For the estimate:

0.030

Read more on fractions here: https://brainly.com/question/368260

Please show work so i know how you got your answer

Answers

Answer:

24

Step-by-step explanation:

7 5/6 x3 =23.5

Ren sets aside $1,000 into an online savings account with an annual


interest rate of 2.3%, compounded annually. How long will it take for the


money in his account to double?

Answers

Answer:

It will take 30.48 for the money in his account to double.

Step-by-step explanation:

Interest compounded anually:

With an investment of P, the amount compounded annualy after t years that you will have is given by:

[tex]A(t) = P(1+r)^{t}[/tex]

In which r is the interest rate, as a decimal.

Ren sets aside $1,000 into an online savings account with an annual interest rate of 2.3%

This means that [tex]P = 1000, r = 0.023[/tex]. So

[tex]A(t) = P(1+r)^{t}[/tex]

[tex]A(t) = 1000(1+0.023)^{t}[/tex]

[tex]A(t) = 1000(1.023)^{t}[/tex]

How long will it take for the money in his account to double?

This is t for which A(t) = 1000*2 = 2000. So

[tex]A(t) = 1000(1.023)^{t}[/tex]

[tex]2000 = 1000(1.023)^{t}[/tex]

[tex](1.023)^{t} = \frac{2000}{1000}[/tex]

[tex](1.023)^{t} = 2[/tex]

[tex]\log{(1.023)^{t}} = \log{2}[/tex]

[tex]t\log{1.023} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.023}}[/tex]

[tex]t = 30.48[/tex]

It will take 30.48 for the money in his account to double.

A line has a slope of 1 and passes through the point (8, 1) . What is its equation in slope -intercept form?

Answers

Answer:

Step-by-step explanation:

y - 1 = x - 8

y = x - 7

Joan is 66 inches tall.What is Joans height in feet?

Answers

Answer: 5 feet 6 inches.

Step-by-step explanation:

12 inches = 1 foot

We can divided 66 by 12 to find how tall Joan is in feet.

66 ÷ 12 = 5.5

The term "0.5" means half, and there are 12 inches in a foot. So half of a foot would mean 6, so Joan's height would be 5 feet and 6 inches.

Joan is 66 inches tall, then the height of Joan in feet will be equal to 5.5 feet.

What is Unit conversion?

Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.

Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.

As per the given information in the question,

The given height of Joan = 66 inches

So, let's perform unit conversion,

1 foot  = 12 inches, so,

x foot = 66 inches

Use cross-multiplication,

12x = 66 × 1

x = 66/12

x = 5.5 feet.

To know more about Unit conversion:

https://brainly.com/question/19420601

#SPJ6

What is the solution to the system of linear equations graphed below?

Answers

Answer:

Step-by-step explanation:

The solution is the point where the lines intersect! (3.5,-4)

Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)

Answers

Answer:

y = 2x² - 72 = 0

Step-by-step explanation:

2(x - 6)(x + 6) = 0

2(x² - 36) = 0

2x² - 72 = 0

The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.

A quadratic equation with roots at 6 and -6 can be written in factored form as:

(x - 6)(x + 6) = 0

To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:

2(x - 6)(x + 6) = 0

Expanding the equation:

2(x² - 36) = 0

Distributing the 2:

2x² - 72 = 0

Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:

2x² - 72 = 0

To know more about quadratic equation click here :

https://brainly.com/question/30111792

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A student council sells 44 bouquets for $176. Which equation represents the

relationship of x bouquets to y dollars?

Answers

Answer:

[tex]y = 4x[/tex]

Step-by-step explanation:

Given

[tex]x = 44[/tex]

[tex]y = 176[/tex]

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

[tex]y = kx[/tex]

Where k is the unit rate.

Substitute 176 for y and 44 for y

[tex]176 = k * 44[/tex]

Divide both sides by 44

[tex]\frac{176}{44} = \frac{44*k}{44}[/tex]

[tex]\frac{176}{44} = k[/tex]

[tex]4 = k[/tex]

[tex]k = 4[/tex]

Substitute 4 for k in [tex]y = kx[/tex]

[tex]y = 4x[/tex]

Hence, the relationship between x and y is: [tex]y = 4x[/tex]

Hi, can someone help me?​

Answers

Answer:

No, no puedo ayudarte aunque te deseo buena suerte

Answer:

the price !!

Step-by-step explanation:

the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!

a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"

i really hope this helps!

Derrick has 2 1/2 cups of sugar. He needs 1/8 of a cup of sugar for each recipe. How many recipes can be make

Answers

Answer:

20

Step-by-step explanation:

4x – 2y = 10
у=-2x-1

Answers

Answer:

I love algebra

The ans is in the picture

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 2(-2x - 1) = 10

4x + 4x + 2 = 10

8x + 2 = 10

8x = 8

x= 1

y = -2(1) - 1

y = -2 - 1

y = -3

(1, -3)

Please help me !!!!!!!!!!!!!!!

Answers

The First Box goes to Complementary(90 degrees) - While the Other Two Boxes both go to Supplementary (180 degrees) .

evaluate the following algebraic expression for the given value of x.




4x-5 where x=5​

Answers

Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (population of 70,000) since the beginning of 2018 - today is July 4th, 2018. On February 1st, 2018, 43 of those cases were hospitalized. What was the prevalence rate of flu cases requiring hospitalization thus far in 2018?

Answers

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

A commuter train travels 65 miles in 27 minutes. What is its speed in miles per minute?

Answers

Answer:

2.407407 miles per minute

Step-by-step explanation:

hi find the distance in the coordanite plane between the two points and show ur work


1 (5, -8) and (5,2)


2 (-8, -2) and (7, -2)


3 (9, 10) and (9, -2)


4 (11 , 6) and (-7, 6)

Answers

Answer:

The distance between (5, -8) and (5,2) is: d = 10 units

Step-by-step explanation:

Note: I will solve the first question as the procedure solution for the remaining questions is exactly the same.

Given the points

(5, -8)(5,2)

Determining the distance between (5, -8) and (5,2)

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) = (2, 3) and (x₂, y₂) = (2, -5)

   [tex]=\sqrt{\left(5-5\right)^2+\left(2-\left(-8\right)\right)^2}[/tex]

   [tex]=\sqrt{\left(5-5\right)^2+\left(2+8\right)^2}[/tex]

   [tex]=\sqrt{0+10^2}[/tex]

   [tex]=\sqrt{10^2}[/tex]

   [tex]=10[/tex]  units

Therefore, the distance between (5, -8) and (5,2) is: d = 10 units

Every pupil in a class either swims or rides a horse three fifths of the class swim and three fifths ride horses five pupils both swim and ride horses how many pupils are in the class

Its one of these [ 15 Or 20 Or 25 Or 30 Or 35 ]

Answers

Answer:

Equestrianism (from Latin equester, equestr-, equus, 'horseman', 'horse') commonly known as horse riding (British English) or horseback riding (American English),includes the disciplines of riding, driving, or vaulting with horses. This broad description includes the use of horses for practical working purposes, transportation, recreational activities, artistic or cultural exercises, and competitive sport.

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