The distance between Quebec City and New York City is 520 miles if Kate leaves Quebec and will leaves New York at 9:09 a.m. And they tried toward each other at 55 miles per hour and 75 miles per hour respectively at what time will they meet?

Answers

Answer 1

Kate and Will meet at 1 : 09 pm

Solution:

The distance between Quebec City and New York City is 520 miles.

At the point where Kate and Will meet, they would have traveled 520 miles.

Let "t" represent the time it takes Kate to travel a certain distance before they met.

[tex]Distance = speed \times time[/tex]

If Kate drives at 55 mph, the distance covered would be

[tex]Distance = 55 \times t = 55t[/tex]

If Will drives at 75 miles per hour, then the distance covered will be

[tex]Distance = 75 \times t = 75t[/tex]

Since the total distance covered is 520 miles

Which means,

[tex]55t + 75t = 520\\\\130t = 520\\\\t = \frac{520}{130}\\\\t = 4[/tex]

Given that in question,

If Kate leaves Quebec and will leaves New York at 9:09 a.m

4 hours after 9: 09 am, Kate and Will will meet

9: 09 am + 4 hours = 1: 09 pm

Thus they would meet at 1 : 09 pm


Related Questions

Li keeps track of the time he spends working out each week. The table shows the number of cardio workouts and the number of weighted workouts for 3 recent weeks. The total time in minutes for weeks 1 and 2 are given. Each cardio workout is the same length of time, and each weighted workout is the same length of time. The system of equations can be used to represent this situation. Use the drop-down menus to complete each statement.

Answers

Answer: I guessed on the second one

Step-by-step explanation:

Final answer:

The problem falls under mathematics, more specifically algebra, using a system of two equations to solve for the timing of the cardio and weighted workouts. The equations can be formed from the provided data and can be solved using substitution or the elimination method.

Explanation:

This problem is a system of equations questions in mathematics, specifically in the subset of algebra. To be able to solve this, you need to create two equations from the data provided on the table and then solve for both cardio and weighted workout timings. For instance, if I did 2 cardio workouts and 3 weighted workouts in week 1 for a total of 150 minutes and 3 cardio workouts and 1 weighted workout in week 2 for a total of 160 minutes, you can construct these two equations:

2*cardio + 3*weighted = 150 (Equation for week 1)

3*cardio + weighted = 160 (Equation for week 2)

Next, you solve this system of equations either by substitution or elimination- whatever you're more comfortable with. The results will give you the duration of each cardio and weighted workout.

Learn more about the System of equations here:

https://brainly.com/question/35467992

#SPJ11

what is 3 1/3, 2 5/6, and 2 3/4 added in simplest form?

Answers

1) Turn everything into improper fractions: 10/3, 17/6, and 11/4

2) Find LCM of 3, 6, and 4: 12

3) Fix improper fractions to match the new denominator: 40/12, 34/12, and 33/12

4) Add them all up: 40/12+34/12+33/12=107/12=8 11/12

So your final answer is 8 11/12

Hope this helped and please mark as brainliest!

Write a number of your choice, using the following clues:

a two digit number
greater than 40
divisible by both 2 and 3

Answers

Answer:

42 and 72

Step-by-step explanation:

Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out

Answers

Answer:

The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of fliers the volunteers gave for a political campaign = 21/38

Remaining 612 were given out in another neighborhood

2. What is the total number of fliers they gave out?

x = Total of fliers

21x/38 = Fliers given out in the first neighborhood

612 = Fliers given out in the second neighborhood

Let's solve for x, this way:

x - 21x/38 = 612

38x - 21x = 612 * 38 (38 is the Lowest Common Denominator)

17x = 23,256

x = 23,256/17

x = 1,368

The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.

In the linear equation y=4x +2, the value “2” represents which of the following?

Answers

Answer:

The y-intercept

Answer:

b

Step-by-step explanation:

I am thinking it would be "b" because y=mx+b so not the multiple choice but whichever one says b

maria says that dividing 1/4 by 3 is the same as multiplying 1/2 by 1/3 do you agree or disagree

Answers

Answer:No

Step-by-step explanation:

Write the expression in standard form.
(4f-3+2g)-(-4g+2)

Answers

Final answer:

To write the given expression (4f-3+2g)-(-4g+2) in standard form, change the signs of the terms subtracted and combine like terms to simplify to 4f + 6g - 5.

Explanation:

To write the expression in standard form, you need to simplify the expression by combining like terms and handling the subtraction of negative numbers properly. Given the expression (4f-3+2g)-(-4g+2), you first remove the parenthesis while changing the signs of the terms inside the parenthesis being subtracted.

The expression -(-4g+2) will become +4g-2 once we apply the rule that subtracting a negative is the same as adding a positive, similarly to the example 2-(-6)=2+6=8.

Now the expression is simplified to 4f - 3 + 2g + 4g - 2. We combine like terms to get 4f + 6g - 5.

The standard form of the given expression is 4f + 6g - 5.

The expression (4f-3+2g)-(-4g+2) can be simplified using the distributive property and combining like terms.

First, distribute the negative sign to the terms inside the parentheses: (-1) * (-4g) = 4g and (-1) * 2 = -2.

The expression becomes (4f-3+2g) + (4g-2).

Next, combine like terms: 4g + 2g = 6g, and -3 - 2 = -5.

The final expression in standard form is 4f + 6g - 5.

What is the measure of ∠x?

Answers

The angle is a complementary angle so both angles add up to 90 degrees

Therefore set your equation equal to 90 to find angle of x

53+x=90

Subtract 53 from both sides

X= 37 degrees

2x exponent 2 times -4

Answers

Answer:

[tex]-16x^2[/tex]

Step-by-step explanation:

[tex](2x)^2 * -4\\=4x^2*-4\\=-16x^2[/tex]

Answer:

0

Step-by-step explanation:

An exponent multiply's that number by that amount of the exponent.

EX : 2^3 where ^ represents exponent

You would write it out like :2*2*2=8

Your problem asks us to multiply the number 2 by itself twice, equaling 4

and 4 subtracted by 4 is zero .

Farmer Jones raises ducks and cows. He looks out his window and sees 54 animals with a total of 122 feet. If each animal is “normal”, have many of each type of animal does he have

Answers

Answer:

He have 47 ducks and 7 cows.

Step-by-step explanation:

Given:

Farmer Jones raises ducks and cows.

He looks out his window and sees 54 animals with a total of 122 feet.

Now, to find the each type of animal he have.

Let the number of ducks be [tex]x.[/tex]

And the number of cows be [tex]y.[/tex]

So, total number of animals are:

[tex]x+y=54[/tex]

[tex]x=54-y[/tex]  ....( 1 )

As, the feet of cows are 4 and ducks are 2.

Now, the total number of feet are:

[tex]2(x)+4(y)=122[/tex]

[tex]2x+4y=122[/tex]

Substituting the value of [tex]x[/tex] from equation (1) we get:

[tex]2(54-y)+4y=122[/tex]

[tex]108-2y+4y=122[/tex]

[tex]108+2y=122[/tex]

Subtracting both sides by 108 we get:

[tex]2y=14[/tex]

Dividing both sides by 2 we get:

[tex]y=7.[/tex]

The number of cows = 7.

Now, to get the number of ducks we substitute the value of [tex]y[/tex] in equation (1):

[tex]x=54-y\\x=54-7\\x=47.[/tex]

The number of ducks = 47.

Therefore, he have 47 ducks and 7 cows.

The product of a non-zero rational number and an irrational number can always be

Answers

Answer:

The product of a non-zero rational number and an irrational number will always be an irrational number.

Step-by-step explanation:

Here's a proof by contradiction for this claim.

Consider an irrational number [tex]x[/tex]. Assume by contradiction that this claim isn't true. In other words, assume that there exist a non-zero rational number [tex]y[/tex] such that [tex]x \cdot y[/tex] is a rational number.

By the definition of rational numbers, a number is a rational number if and only if it can be written as the quotient of two integers.

[tex]y[/tex] is a rational number ⇔ there exist two integers [tex]a[/tex] and [tex]b[/tex] such that [tex]\displaystyle y = \frac{a}{b}[/tex].[tex]x \cdot y[/tex] is a rational number ⇔ there exist two (other) integers [tex]c[/tex] and [tex]d[/tex] such that [tex]\displaystyle x \cdot y = \frac{c}{d}[/tex].

Divide [tex]y[/tex] from both sides of the equation:

[tex]\displaystyle \frac{x\cdot y}{y} = \left.\frac{c}{d}\right/y[/tex].

The left-hand side of this equation is now equal to [tex]x[/tex].

Since [tex]\displaystyle y = \frac{a}{b}[/tex]  by assumption, the [tex]y[/tex] on the right-hand side of this equation can be replaced with [tex]\displaystyle \frac{a}{b}[/tex]. Hence, the right-hand side of this equation would become

[tex]\displaystyle \frac{x\cdot y}{y} = \left.\frac{c}{d}\right/\frac{a}{b} = \frac{c}{d}\cdot \left(\frac{b}{a}\right) = \frac{b \cdot c}{a \cdot d}[/tex].

Combine the two sides of the equation to obtain:

[tex]x = \displaystyle \frac{b \cdot c}{a \cdot d}[/tex].

Since [tex]b[/tex] and [tex]c[/tex] are both integers, their product [tex]b \cdot c[/tex] would also be an integer. Similarly, since [tex]a[/tex] and [tex]d[/tex] are both integers, their product [tex]a \cdot d[/tex] would also be an integer.

In other words, [tex]x[/tex] can now be represented as the quotient of two integers. By the definition of rational numbers,

Hence, the original assumption that this claim isn't true, is not true. That verifies the claim that the product of a non-zero rational number and an irrational number would be an irrational number.

what is maximum and minimum of f(x)=7x^2

Answers

Answer:

Minimum value is 0

Maximum value is undefined.

Step-by-step explanation:

The given function is [tex]f(x)=7x^2[/tex]

This function is a parabola that has its vertex at the origin.

The coefficient of the quadratic term is 7, which is greater than zero.

This means that, the graph will open up.

The graph will therefore have a minimum value of y=0

The graph  of this function does not have a maximum value.

Rita finds the quotient of 584 divide by 17

to be 33 R23. Explain why her answer

is not correct. Then find the correct answer.

answer.

Answers

Answer:

Rita's answer in incorrect because the remainder that Rita got which is 23 is greater 17 which is the divisor. 17 can still go in 23 1time to have a remainder of 6. Hence Rita's answer is wrong with 34R6 being the correct answer.

Step-by-step explanation:

Quotient is the required answer if 584 is divided by 17

584 will be the dividend and 17 is the divisor.

To calculate 584/17, 17 will go in 58 3times with 7 as remainder. This remainder 7 will combine with 4 to make 74, 17 will also go in 74 4times with remainder of 6.

The final answer by combining the number of times 17 goes in 584 which is 34 with final remainder of 6. This means that;

584/17 = 34 remainder 6 i.e 34R6

This shows that Rita's answer in incorrect because the remainder that Rita got which is 23 is greater 17 which is the divisor. 17 can still go in 23 1time to have a remainder of 6. Hence Rita's answer is wrong with 34R6 being the correct answer.

3. If d=rt, where d is distance, ris rate,
and t is time, how long, in hours, will
it take Derron to drive 180 miles at
an average rate of 45 miles per hour?

Answers

Answer:

Step-by-step explanation:

D=rt

180miles = 45mph* times

180miles/45mph =time

Time = 4hours

what is the value of the expression 2(3/4 - 1) + 0.35

Answers

Answer:

-.15

Step-by-step explanation:

you first do whats in the parantheses (3/4 - 1) which equals -.25, then multiply by 2 which gives you -.5, now add .35 and your total is -.15

Answer:

0.85

Step-by-step explanation:

2(3/4-1)+0.35

=(1.5-1)+0.35

=0.5+0.35

=0.85

What is 21 over 4 written as a whole number

Answers

Answer:7

Step-by-step explanation:

Answer:

Technically, since it's an improper fraction, turning it into a whole number is not possible.

Step-by-step explanation:

21/4 as a decimal is 5.25

5.25 as a mixed number would be 5 1/4. Therefore, the closest 21/4 can get to a "whole number" is 5.

If you have $11 and you spend $7 on a sandwich, drink, and chips, what fraction of your money did you spend?

Answers

Answer:

Step-by-step explanation:

u had 11 and u spent 7

7/11 <=== the fraction of money u spent is 7 out of 11

the fraction would be 7/11 . hope this helps

y= 15/2 when x = -5
Write direct variation that relates x and y

Answers

Answer:

[tex]y=-1.5x[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In this problem we have

y=15/2 when x=-5

Find the constant of proportionality k

[tex]k=\frac{y}{x}[/tex]

substitute the given values

[tex]k=\frac{(15/2)}{-5}=-1.5[/tex]

therefore

The linear equation that relates x and y is equal to

[tex]y=-1.5x[/tex]

The revenue each season from tickets at the theme part is represented by t(x) = 5x. The cost to pay the employees each season is represented by r(x) = (1.5)x. Examine the graph of the combined function for total profit and estimate the profit after four seasons.

Answers

Answer:

14

Step-by-step explanation:

The revenue earned is represented by t(x)=5x. Since the equation asks for the profit after four seasons you fill in 4 for x and get 20. r(x)=(1.5)x is how much it costs to pay their employees each season so you fill in 4 for x. Now you take revenue earned and subtract it by the cost to pay employees and you get the profit.

5x - 1.5x = Profit

5(4) - 1.5(4) = Profit

20 - 6 = Profit

14 = Profit

Answer:

15

Step-by-step explanation:

How is b the answer???

Answers

B

Step-by-step explanation:

(1)Area of triangle= 1/2 x height (7cm) x base (8cm)

= 56/2

= 28

(2)Area of circle = (Pi)r^2

= (Pi)4cm^2

= 50.26548....

Since the circle is half divide the above by 2

= 25.132741.....

Round the answer to the nearest hundredth

= 25.13

(1) + (2)

28+25.13= 53.13

Hope this helps! :)

The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74 . Find their ages.

Answers

Answer:

The age of Noelle's dad is 54 years and that of Noelle is 20 years.

Step-by-step explanation:

Let the age of Noelle's dad is x years and that of Noelle is (74 - x) years.

{Since, the sum of their ages is 74}

Now, given that the age of Noelle's dad is 6 less than 3 times Noelle's age.

So, 3(74 - x) - 6 = x

⇒ 4x = 222 - 6 = 216

x = 54

So, the age of Noelle's dad is 54 years and that of Noelle is (74 - 54) = 20 years. (Answer)

Barbara is 142 cm tall. This is 2 cm less than 3 times
her height at birth. Find her height at birth.

Answers

Final answer:

Using an algebraic approach, we found out that if Barbara is 142 cm tall, which is 2 cm less than three times her birth height, then her height at birth was 48 cm.

Explanation:

The question asks us to determine Barbara's height at birth given that she is currently 142 cm tall and that this height is 2 cm less than three times her height at birth. To find her height at birth, we can construct and solve a simple algebraic equation based on this information.

Let h represent Barbara's height at birth. The problem states that:

142 cm = 3h - 2 cm

Adding 2 cm to both sides of the equation, we get:

144 cm = 3h

Dividing both sides of the equation by 3 so we can solve for h, gives us:

h = 144 cm / 3

h = 48 cm

Therefore, Barbara's height at birth was 48 cm.

Will make brainliest if answered correctly

Answers

Answer:

C(g) = 2.19g ; 2.5

Step-by-step explanation:

Question 1

Since the cost is $2.19 per gallon. For every gallon, the cost will increase by $2.19. Hence, the cost per gallon C(g) is 2.19g.

Question 2

f(1.5) = 3(1.5) - 2

= 4.5 - 2

= 2.5

Answer:

1. C(g) = 2.98g

2. 2.5

Step-by-step explanation:

1. 1 gallon cost $2.98

Therefore y gallon will cost = y2.98 ie C(g) = 2.98g

2. F(x) = 3x — 2

F(1.5) = 3x1.5 — 2 = 4.5 — 2 = 2.5

Which equation represents the line shown in the graph below ? *20 points* I NEED IT ASAP !!!

Answers

Answer:

B

Step-by-step explanation:

Mutliply x - 3 and x + 3

Answers

Answer:

Step-by-step explanation:

(x-3)*(x+3)

we begin by expanding and then simplifying

= (x²+3x-3x-9)

= x² - 9

Answer:

x² - 9

Step-by-step explanation:

hello :

(x - 3 ) (x + 3) = x²+3x-3x-9

(x - 3 ) (x + 3) = x² - 9

Jeffery has run 3/8 of the race what fraction of the race do Jeffery have left

Answers

Answer:5/8

Step-by-step explanation:

20. Math and Science There are 6 pure
spectral colors: red, orange, yellow, green,
blue, and violet. Some animals cannot
see all of these colors. Bees cannot see
orange or red. What fraction of the pure
spectral colors can bees see?

Answers

2/1 frptrhgqhgr4tjtfix jxcfh8u5t8ofszYI7wyt439tfy7efgy5g

Final answer:

Bees can see 4 out of the 6 pure spectral colors, which simplifies to the fraction 2/3 after removing the 2 colors they cannot see, orange and red.

Explanation:

The question involves calculating a fraction, which is a basic mathematical concept. We are told there are 6 pure spectral colors: red, orange, yellow, green, blue, and violet. Bees cannot see orange or red, so we must find out what fraction of the 6 pure spectral colors bees can see. We subtract the 2 colors bees can't see (orange and red) from the total of 6, leaving us with 4 colors they can see which are yellow, green, blue, and violet.

To express this as a fraction, we take the number of colors bees can see (4) and place it over the total number of pure spectral colors (6). Therefore, the fraction of pure spectral colors that bees can see is 4/6. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. Thus, the simplified fraction is 2/3.

Martha needs 28 strawberries for every 4 smoothies she makes. Complete the table using equivalent ratios.

Answers

answer: 28: 4

21: 3

70: 10

step-by-step explanation:

divide 28 by 4, and of course, do to the bottom what you do to the top. 4 divided by 4 is 1, and 28 divided by 4 is 7.

7: 4.

then, multiply by the number of smoothies.

for 3, it's 21: 3.

for 10, it's 70: 10.

f(3)=5(3)^2-7(4(3)+3)

Answers

Answer:

[tex]f(3)=-60[/tex]

Step-by-step explanation:

[tex]f(3)=5(3)^2-7(4(3)+3)\\\\f(3)=5(3)^2-7(12+3)\\\\f(3)=5(3)^2-7(15)\\\\f(3)=5\times 9-7\times 15\\\\f(3)=45-105\\\\f(3)=-60[/tex]

Please help me on this math question please

Answers

Answer:

here is the answer, out of all my experience i'm not too good on these word problems. You should check number two but if you agree than yay.

Step-by-step explanation:

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