Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hours later and traveled in the opposite direction with an average speed of 70 km/h. Find the number of hours Gabriella needs to travel before they are 410 km apart.

Answers

Answer 1

Answer:

Gabriella need to 2.45 hours of travelling to be 410km apart from Willie.

Step-by-step explanation:

In order to make them 410km apart and the time included in it is to be found

we proceed as

Willie left the mall earlier and Gabriella left two hours before

so willie has travelled for 2 hours while Gabriella was still at the initial point

with this logic we find the hours Gabriella needs as follows

              Willie               Gabriella

              ←←←←←←←←  →→→→→→→→→→

                40km/h            70km/h      

                 X hours             X+2 hours

40*x+70(x+2) = 410

40x+70x + 140=410

110x=270

x=270/110

x= 2.45hrs


Related Questions

Mya is buying a purse online,that regularly cost $72 how much will she pay in total if she has a promo code for 25% off, plus free shipping and sales tax is 5.5

Answers

Answer:

$56.97

Step-by-step explanation:

Promo code of 25% off =

$72× 25%

= $18

= $72 - $18

= $54

Sales tax = 5.5% of 54

= $2.97

Maya is paying = $54 + $2.97

=$56.97

Whats the slope?
Hurryyyyyyyyy

Answers

Answer: 3/4

Step-by-step explanation:

When you rise from the first point , it’s three spaces to get in the same line as the second point, then when you run to the right , you are moving four spaces to the right therefore the answer is 3/4

Kelan ate at his favorite restaurant, The Red Fish. He received excellent service from the waitstaff and decided to leave a 22% tip Before tip, his bill came to $60.
How much would the meal have cost in total, including tip?
$89.00
$46.80
$73,20
$13.20

Answers

Answer:

$73.20

Step-by-step explanation:

If he left a 22% tip and the meal cost $60 then we need to do 122% of 60

[tex]1.22*60=73.2[/tex]

Since it is money we add the 0 in the hundredths place and we get

[tex]73.20[/tex]

Can someone please answer these two questions? I put a picture.

Answers

Answer:

14. y = x - 6

15. [tex]y = -\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Slope-intercept form is y = mx + b where:

"m" is the slope

"b" is the y-intercept

"x" and "y" are points on the graph.

For each question,

Find the slope by counting rise over run between two points Find the y-intercept by where the graph hits the y-axis Substitute the slope and y-intercept into y = mx + b

14.

Slope:

Two points are (6, 0) and (7, 1).

[tex]m= \frac{rise}{run} \\=\frac{1}{1}\\= 1[/tex]

Y-intercept:

b = -6

y = 1x - 6

We don't need to write the 1.

∴ The equation is y = x - 6

15.

Slope:

Two points are (-2, -4) and (0, -5).

[tex]m = \frac{rise}{run}\\=\frac{-1}{2}[/tex]

Y-intercept:

b = -5

∴ The equation is [tex]y = -\frac{1}{2}x - 5[/tex]

There were minty people at a Halloween party eighteen of the costumes were ghosts what percentenge of the people were dressed as fhosts

Answers

Answer:

ozark Paul pick icky office

The large rectangle's dimensions are three times the dimensions of the small rectangle.



a. How many times greater is the perimeter of the large rectangle compared to the perimeter of the small rectangle?


Question 2
b. How many times greater is the area of the large rectangle compared to the area of the small rectangle?


Question 3
c. Are the answers to parts (a) and (b) the same? Explain why or why not.





Question 4
d. What happens in parts (a) and (b) if the dimensions of the large rectangle are two times the dimensions of the small rectangle?

Answers

Answer:

The answer Is A! Hope you do Great!

Step-by-step explanation:

it's easy but plzz help me..
I will give u brainliest!!​

Answers

Answer:

You can figure this out by measuring the 200 pages together and then divide by 200.

Step-by-step explanation:

Answer: Measure all the sheets together and divide by 200.

Step-by-step explanation: An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions. Please explain the two possible solutions in 2-3 sentences. (One-two word phrases are not accepted).

Answers

Answer:

Mile marker 4 or mile marker 6

Step-by-step explanation:

You can think of this problem as a number line problem. The number line represents the trail he's walking on. If he starts at the mile marker 5 and moves to the right one mile, he will find that the next mile marker is 6. But if he moves left, he will find that the next mile marker is 4. See attached picture.

classify the following system y = 5x + 3. Possible answers no solution, one solution or infinte solutions ​

Answers

Answer: Infinite solutions

x and y intercepts of 8y=9x-12

Answers

Answer:

x-intercept(s):  ( 4 /3 ,  0 )

y-intercept(s):  ( 0 ,  − 3/ 2 )

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x .

To find the y-intercept, substitute in  0 for  x and solve for  y .

Answer: 3,9

Step-by-step explanation: divided it

Frank and Emily each take out a $160,000 loan for a new house. Each has to repay the loan in 20 years. Frank will pay an interest rate of 2.9% per year. His monthly payments will be $885. Because Emily has a lower credit score, she will have to pay an interest rate of 4.3% per year. Her monthly payments will be $995. How much more will a $160,000 loan cost Emily than Frank?

Answers

This loan of $160,000 costs Emily $26400 more than Frank.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

As given in the question,
Frank and Emily each take out a $160,000 loan for a new house. Each has to repay the loan in 20 years.
Frank's monthly payments will be $885.
Emily's monthly payments will be $995.
Difference of the total loan payment,
= 20×12[995  - 885]
= 240 × [110]
= $26400

Thus, this loan of $160,000 costs Emily $26400 more than Frank.

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Hannah has an aquarium with 25 liters of water in it. How many milliliters of water are in the aquarium?

Answers

Answer:

25,000 milliliters

Estimate the solution of system of equations Y=-x+2 Y= 3x-4 A x=3/2 y= 1/2 B x= 1/2 y=3/2 C x=1/2, y= 5/2 D x=5/2, y=1/2​

Answers

Answer:

C) x = 1/2, y = 3/2.

If f(x) = 3x − 1 and g(x) = 6x + 2 , which statements are true? There can be more than one correct answer.
A. f(5) = g(2)


B. f(0) = g(−3)


C. f(1) = g(0)


D. f(−2) = g(1)

Answers

Answer:A & C

Step-by-step explanation:

f(5)& g(2)= 14; f(1) & g(0)= 2

HELP ASAP TIMED
PLEASE Find the value of the expression. d 27a^0c^3 for a= 2/3 , c=−1/3

Answers

Answer:

-1

Step-by-step explanation:

27a^0c^3

27(2/3)^0(-1/3)^3

Apply the product rule to 2/3.

27(2^0/3^0)(-1/3)^3

Anything raised to 0 is 1.

27(1/3^0)(-1/3)^3

Anything raised to 0 is 1.

27(1/1)(-1/3)^3

Divide 1 by 1.

27 x 1(-1/3)^3

Multiply 27 by 1.

27(-1/3)^3

Apply the product rule to -1/3.

27[(-1)^3(1/3)^3]

Apply the product rule to 1/3.

27[(-1)^3(1^3/3^3)]

Raise -1 to the power of 3.

27(-1^3/3^3)

One to any power is one.

27(-1/3^3)

Raise 3 to the power of 3.

27(-1/27)

Move the leading negative in -1/27 into the numerator.

27(-1/27)

Cancel the common factor and rewrite the expression.

-1

The ratio of dogs to cats at the pet store is 3 : 4. There are 21 total pets. How many cats are in the pet store? Hint: you may want to make a tape diagram.

Answers

Answer: 12 cats

Step-by-step explanation:

first add 3 and 4 together to get 7

divide 21 by 7 to get 3

if there are 4 cats out of 7 pets in the store, you should be able to multiply 4 by 3 to get the total amount of cats in the whole store to get 12

Help!!!!!!!!!!!!!!!!!!!!!plz

Answers

Answer:

c-4 is less than or equal to -19

Step-by-step explanation:

Because it says the word difference you know that those those integers will be a subtracted.

How many half rests are in one whole rest?

Answers

2 half rests. 4 beats in a measure half that is 2 a whole rest is 4 beats long

Due later today! Please help!!
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?

Answers

Answer:

What is her MPH?

Step-by-step explanation:

Each of the four shapes represents a positive whole number. The sum of the shapes in each row and column is displayed at the end of each row and column. Using this information, determine the numerical value of each shape.

Answers

9514 1404 393

Answer:

  A = pentagon = 6

  B = 5-pointed star = 8

  C = rectangle = 4

  D = spiral = 3

Step-by-step explanation:

Starting in the upper left corner, name the shapes A, B, C, D clockwise in the 2×2 square in that corner. Then we have ...

  A = pentagon

  B = 5-pointed star

  C = rectangle

  D = spiral

__

It turns out to be convenient to look at rows and columns with two of each shape.

  Row 2: 2(C+D) = 14   ⇒   C+D = 7

We can use that in column 2 to find B:

  B +C +B +D = 23   ⇒   2B +(C+D) = 23   ⇒   2B = 16   ⇒   B = 8

This lets us find D:

  Row 4: 3D +B = 17   ⇒   3D +8 = 17   ⇒   3D = 9   ⇒   D = 3

So, C can now be found:

  C+D = 7   ⇒   C +3 = 7   ⇒   C = 4

Finally, we can find A:

  Row 1: A +2B +D = 25   ⇒   A +2(8) +3 = 25   ⇒   A = 6

__

In summary, the numerical values are ...

  A = pentagon = 6

  B = 5-pointed star = 8

  C = rectangle = 4

  D = spiral = 3

. . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .

distance formula, help pls

Answers

The distance formula

Answer:

[tex]d = 2\sqrt{10}[/tex]

Step-by-step explanation:

(4, 3) (6, 9)

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

[tex]d=\sqrt{(6-4)^{2} +(9-3)^{2} }[/tex]

[tex]d=\sqrt{(2)^{2} +(6)^{2} }[/tex]

[tex]d=\sqrt{(4 +36)}[/tex]

[tex]d=\sqrt{40} = 2\sqrt{10}[/tex]

Which expression best estimates 6-12
O 7-2
06-1
0 3-2
HELLP

Answers

Answer:

3-2is the sufficient way to form your calculations

Which equation correctly applies the Pythagorean Theorem to solve for the missing side length?

Answers

Answer:

A^2+B^2=C^2

Step-by-step explanation:

You plug in the sides to A and B not C,Becuse you are trying to get C.C is called the Hypotenuse,That is what you are trying to figure out

Hope that helps

The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Let's recall the Pythagorean theorem formula:

a² + b² = c²

Replacing by the values we have;

x² + 16² = 20 ²

Therefore, the correct answer is B.

The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².

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A salt solution was made by mixing 16 quarts of 2% salt solution and 12 quart of a 51% salt solution. Find the concentration of the new mixture .
The concentration of the new mixture is ___%

Answers

Answer:

.33 or 33%

Step-by-step explanation:

multiply 16 times .02, then multiply 12 times .51 add your two answers together.  3.2 + 6.12=28X   add 3.2 and 6.12 give you 9.32=28x, divide both sides by 28 which give an answer of .33 or 33%

36 even : 12 odd
Write the ratio as a fraction in simplest form.

Answers

36/12 and just simply the fraction

The proportion is given by the equation 36/12 = 3 / 1  or 3 : 1

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the equation will be

Let the first number be represented as p = 36

Let the second number be represented as q = 12

Now , the proportion A = p / q

Substituting the values in the equation , we get

A = 36 / 12

On simplifying the equation , we get

A = 3 / 1

Therefore , the value of A is 3 : 1

Hence , the proportion is 3 : 1

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123x23 312x32 standard algorithm

Answers

Answer:

123x23=2829 312x32=9984

Step-by-step explanation:

...............................................................................................................................................................................help.....................................................................................................................................................................................................................................................

Answers

Answer:

the 2nd one

Step-by-step explanation:

hope this helped!

p.s it would be cool if you would give me brainliest

PLS ANSWER ASAP
Fine the missing measures:

EF:

Answers

angle of F is 134, why? Because each triangle is 180 degrees altogether.

Step-by-step explanation:

what do all unit rates have in common in maths

Answers

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

Step-by-step explanation:

At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat. Which of the following equations correctly represents Claire’s shopping trip? 0.4x + 5.49 = 5.09 0.4x + 5.49 = 9.49 0.6x + 9.49 = 5.49

Answers

Answer:

5.49 is the answer to this

Step-by-step explanation:

hope that helps!

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