On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then
completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If x = 1,
what is the value of y?
y =

Answers

Answer 1

Answer:

[tex]y = 3[/tex]

Step-by-step explanation:

Given

Trip = 250 miles

Speed for first x hours = 60 miles/hour

Speed for next y hours = 50 miles/hour

x = 1

Required

Find y

To solve this question, we'll make use of:

[tex]Distance = Speed * Time[/tex]

For x hours:

[tex]Distance = 60miles/hour * x[/tex]

Substitute 1 hour for x

[tex]Distance = 60\ miles/hour * 1\hour[/tex]

[tex]Distance = 60\ mile[/tex]

For y hours:

[tex]Distance = 50\ miles/hour * y\ hours[/tex]

[tex]Distance = 50y\ miles[/tex]

Given that total distance is 210 miles;

We have that:

[tex]Total Distance = 60\ miles + 50y\ miles[/tex]

[tex]210\ miles = 60\ miles + 50y\ miles[/tex]

Solve for y

[tex]210 - 60 = 50y[/tex]

[tex]150 = 50y[/tex]

[tex]y = \frac{150}{50}[/tex]

[tex]y = 3[/tex]

Hence,

y = 3 hours


Related Questions

HELP ASAP FOR BRANETEST

Answers

Your answer is 6170.

So, we have the equation..

[tex]6.17*1,000[/tex]

Multiply 6.17 by 1,00 and you get [tex]6170[/tex].

3. Do you use the Midpoint Formula or the Distance Formula to find the following?
Given points K and P, find the distance from K to the midpoint of KP.
Given point Kand the midpoint of KP, find KP

Answers

Answer:

Distance

Step-by-step explanation:

what is the product of (3d -5)(2d + 9)

Answers

(6d^2 + 27d - 10d - 45)

= (6d^2 + 17d - 45)

help please I'm very confused

Answers

I believe it is D. Hope this helps :)

Answer:

D

Step-by-step explanation:

Note that 3 × 4 = 4 × 3 = 12

This is called the commutative property of multiplication.

Thus

(5 + 6) × (2 + 4) = (2 + 4) × (5 + 6)

x+y=3
y=x-5
what is the solution to the system of equations?

Answers

Answer:(4,-1)

Step-by-step explanation:

Answer:

1,4

Step-by-step explanation:

what was the property of equality

Answers

Reflexive Property=For all real number X,X=X

A number equals itself

Addition Property=For all real number X,y & Z,. if

X=Y then X+y=y+Z

Subtraction Property=For all real number X,Y And Z if X=y then X-Z=y-Z.

Joaquin was asked to simplify the expression 3p + 5 + 7p - 9. He says the answer is 6p Answer the following questions: **What error did Joaquin make when combining like terms? **What should the answer be? Be sure to answer in complete sentences.

Answers

The error he made was that he added everything. You cant add variabled with numbers that doesnt have variables. You can only combine like terms.

:)

The answer should be 10p - 4.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

3p + 5 + 7p - 9

To solve this taking alike terms together.

3p + 7p + 5 - 9

Thus, we have

Variables = 3p + 7p = 10p

Constants =  5 - 9 = -4

Thus, the expression becomes,

3p + 5 + 7p - 9 = 10p - 4

So, this is the required answer of the given expression.

Thus, the answer should be 10p - 4.

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Solve for x. 5+(x-2)=-8

Answers

Answer:

x = -11

Step-by-step explanation:

First, get rid of parentheses:

5 + x - 2 = -8

Then, simplify:

3 + x = -8

Finally, subtract 3 on both sides:

x = -11

Hope this helps ^^

Answer:

x = -11

Step-by-step explanation:

5+(x-2)=-8

3+x = -8

Subtract 3 from each side

3+x-3 = -8-3

x = -11

Which property of real numbers is shown below?
-6 + 6 = 0

Answers

Answer:

equality

Step-by-step explanation:

$50000000 +1000000000000

Answers

Answer: 1000050000000

Answer:

1 X 10^12 + 5 X 10^7

$10000050000000

Step-by-step explanation:

Is this a proportional relationship?

Answers

Answer: yes, because it is a straight line and is on the origin and goes through the origin so it is a proportional relationship

hoped this helped let me know if it did

Four more than the square root of a number

Answers

Answer:

sqrt(4 + (3 x) ) = 7

4 + 3 x = 49

3 x = 45

x = 15

Can I get the answer plz

Answers

Answer:

go on socratic it help just scan and your asnwer will pop up and done easy

Find the slope of the line passing through the points
(8, 2) and (10,2)

Answers

Answer:

Step-by-step explanation:

(2-2)/(10-8)= 0/2 = 0 is the slope

y - 2 = 0(x - 8)

y - 2 = 0

y = 2

3k-8+9k+10 its on like term

Answers

Answer: 12k+2

Step-by-step explanation:

the cut off part says and Q​

Answers

Answer:

B) Their y-coordinates are the same.

Step-by-step explanation:

P is at (-6,4)

Q is at (1,4)

Their y-coordinates are the same.

find the value of m!!!

Answers

Answer:

[tex]m=158[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Hence,

[tex](m-29)+51=180[/tex]

Remove brackets:

[tex]m-29+51=180[/tex]

[tex]m+22=180[/tex]

Subtract 22 from both sides:

[tex]m+22-22=180-22[/tex]

[tex]m=158[/tex]

Answer:

[tex]\displaystyle 158 = m[/tex]

Step-by-step explanation:

Both angles form a linear pair, making them supplementary angles. This means you set both expressions equivalent to one hundred eighty degrees:

[tex]\displaystyle 180° = 51° + [m - 29]° \hookrightarrow 180° = [m + 22]° \\ \\ \boxed{158 = m}[/tex]

I am joyous to assist you at any time.

Ellen is making jewelry sets that contain a bracelet and a pair of earrings. Each bracelet uses 3 times as many beads as one earring. Ellen uses 13 beads for each earring. How many beads does Ellen need to make one jewelry set?

Answers

Ellen will need 65 beads to make one jewelry set

Answer:

Ellen will need 65 beads to make one jewelry set

Step-by-step explanation:

The telephone company offers two billing plans for local calls. Plan 1 charges ​$38 per month for unlimited calls and Plan 2 charges ​$18 per month plus ​$0.04 per call.

Answers

The question is incomplete:

The telephone company offers two billing plans for local calls. Plan 1 charges ​$38 per month for unlimited calls and Plan 2 charges ​$18 per month plus ​$0.04 per call.

Use an inequality to find the number of monthly calls for which plan 1 is more economical than plan 2.

Answer:

Plan 1 is more economical than plan 2 when you make more than 500 monthly calls.

Step-by-step explanation:

Plan 1 costs $38 per month for unlimited calls and plan 2 costs $18 per month plus ​$0.04 per call which is: 18+0.04x and you can infer that plan 1 would be cheaper when you have to pay more than $38 using plan 2 and you can express it with the inequality:

18+0.04x>38, where x is the amount of monthly calls

Now, you can solve for x:

0.04x>20

x>20/0.04

x>500

According to this, plan 1 is more economical than plan 2 when you make more than 500 monthly calls.

When we graph a line using slope and y-intercept, the first point that you graph is
ALWAYS on
and you use
to get to the
next point?

It’s fill in the blanks

Answers

Answer:

y-intercept and slope

Step-by-step explanation:

When we graph a line using slope and y-intercept, the first point that you graph is  y-intercept.

What is Mathematical equation ?

By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign. In other words the equation represents the graph between x and y that is for each value of x there exist one value of y.

So, When we graph a line using slope and y-intercept, the first point that you graph is  y-intercept.

Let, consider the equation of y = mx+c, where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.

Therefore, When we graph a line using slope and y-intercept, the first point that you graph is y-intercept.

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solve the equation x to the 3 power = -215

Answers

Answer:

cube root of -215 or -5.9

Step-by-step explanation:

Since this can't be a perfect cube the answer would be cube root of -215 or you find the closest perfect cubes which would be -5 and -6

-5cubed is -125 and -6cubed is -216  and -215 is closer to -216 the number approximately would be -5.9

Hope this helps :)

The cube root of the number -215 will be 5.99i.

What is a cube root?

An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots.

Iota is a fictitious unit number represented by the letter I and its value is -1. You may have encountered circumstances where the discriminant is negative while attempting to solve quadratic equations.

Given the expression of cube root is x³ = -215.

x³ = -215

x = ∛-215

x = 5.99i

Therefore, the cube root of the number -215 will be 5.99i.

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Can someone plz help me with this question.

Answers

Answer:

Eric forgot to add 2 to both sides.

Step-by-step explanation:

He forgot to add 2 to both sides so that he cancel out the -2 from the equation. Then the equation would become 2/5v=6 the you would divide those two and your answer would be  1/15.

what are the coordinates for B

Answers

Answer:

(-0.5, 0)

Step-by-step explanation:

'B' lies on the x-axis. This means that it's y-value is zero.

'B' also is in between '-1' and '0'. This means that the x-value is -0.5.

'B' should be (-0.5, 0).

Hope this helps.

Which of the following ratios are equivalent? explain

14/21, 15:20, 40 to 60

Answers

Answer:

15:20 and 40:60

Step-by-step explanation:

When simplified completely they both are equal to 2/3

1/9 - is rational or irrational number

Answers

Answer:

1/9 is a rational number because rational numbers are numbers that you can write as a fraction.

Answer: 1/3/3 is an inverse tetration 1/pi/(1/pi/pi) is approximately pi

Step-by-step explanation:

56.1 divided by 6.6 (ones)

Answers

Answer: The answer is 8.5

Step-by-step explanation:

The value of the number expression 56.1 ÷ 6.6 is 8.5 after using the concept of arithmetic operation the answer is 8.5.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

56.1 divided by 6.6 (ones)

As we know from the arithmetic operation, the operation in which we do

the addition of numbers, subtraction, multiplication, and division.

= 56.1 ÷ 6.6

= 8.5

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

Thus, the value of the number expression 56.1 ÷ 6.6 is 8.5 after using the concept of arithmetic operation the answer is 8.5.

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Mike took some money to the movies. He spent 1/2 of the money on the ticket and 1/3
of the money on snacks. He spent $10 total. How much money did he bring to the
movies?

Answers

The ticket was 5$ and the snacks was 3.33

He bring $12 to the movie.

What is Algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression. All the branches of mathematics such as trigonometry, calculus, coordinate geometry, involve the use of algebra. One simple example of an expression in algebra is 2x + 4 = 8.

Given:

let the total money be x

1/2 of the money on the ticket

=1/2 x

1/3 of the money on snacks

=1/3 x

total he spent= $10

1/2 x + 1/3 x = $10

5/6 x= 10

x= 10* 6/5

x = 12

Hence. he bring $12 to the movie.

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Solve for fff.
-f+2+4f=8-3f−f+2+4f=8−3fminus, f, plus, 2, plus, 4, f, equals, 8, minus, 3, f
f =

Answers

Answer:

f=1

Step-by-step explanation:

Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $ 1.25 for selling the first subscription. For each additional subscription​ sold, the magazine company will pay you 15 cents more than what was paid for the previous subscription. How much will you earn by selling 175 magazine​ subscriptions?

Answers

Answer:  $27.35  

Step-by-step explanation:

First let's  find the variables.We will use x to represent the number of subscription sold and y we will represent the amount of money you will get paid.

So we know that , if you sell One You will get $1.25  so we could represent it by the point  (1,1.25) .

Now the second statement says that if you sell an additional subscription you will get an additional 15 cents or $0.15.Which means if you sell the second subscription, you will get  $1.40  because it is an additional 15 cents. We can also represent that by the point (2,1.40)  

Now using the two points come up with an equation.  

(1,1.25)

(2,1.40)    Find the slope and y intercept.

TO find the slope find the difference between y and divide it by the difference in x.

1.25 - 1.40 = 0.15

1 - 2  =   1  

0.15/ 1 =  0.15  So the slope is 0.15

Now use the point to find the y intercept. using the y-intercept formula,  

y = mx + b  

1.25 = 0.15(1) + b

1.25 =  0.15 + b

-0.15     0.15

 b = 1.1  

We can now write the equation  y = 0.15x + 1.1 to represent the whole situation where  x is still the number of subscriptions sold and y is the money you will get paid. Now to find how much you will earn for 175 subscriptions, you will input 175 for x and solve for y.

y = 0.15(175) + 1.1

y = 26.25 + 1.1

 y = 27.35

So you will earn $27.35  for 175 subscriptions

(Select all that Apply) Which of the following is an equation?
5 - 4= 9
5+4= 9
9=9
5+4-9​

Answers

To find:

Which of the following options is an equation.

Solution:

A mathematics or algebraic statement which represents that the values of two mathematical expressions are equal, is called an equation.

In option A,

[tex]5-4=9[/tex]

[tex]1\neq 9[/tex]

LHS≠RHS. So, it is not an equation.

In option B and C,

[tex]5+4=9[/tex]

[tex]9=9[/tex]

LHS=RHS. Both are equations.

In option D,

[tex]5+4-9[/tex]

This is an expression, not an equations.

Therefore, the correct options are B and C.

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