Mathematics High School

Representing each situation by translating it to algebraic expression.

- a motorcycle driver travels 15kph faster than a bicycle rider. the motorcycle driver covers 60km in two hours less than the time it takes the bicycle rider to travel the same distance.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Motorcycle driver travels 15kph faster than a bicycle rider

Motorcycle covers 60km in 2 hours less than the time it takes bicycle rider to travel the same distance ;

Let bicycle rider's speed = r kph

Motorcycle driver's speed = (15 + r) kph

TIME it takes bicycle rider to cover a distance of 60km = t hours

TIME it takes motorcycle driver to cover a distance of 60km = (t - 2) hours

Related Questions

Graph the line through 2,3 that is Parallel to the line with the equation 3x-y=2

Answers

Answer:

y=3x-3

Step-by-step explanation:

first we turn in the stander from to y incept form

then you plug in the x and y, for time here, i am not goona put the steps more

msg me if you need steps

-8x + 14 = -2(4x - 7) what is the value of x

Answers

Answer:

Step-by-step explanation:

-8x + 14 = -2(4x - 7)

use the distributive property to get rid of the parentheses (-2 x 4x and -2 x -7) (negative times negative equals positive)

-8x + 14 = -4x + 14

subtract 14 on both sides to cancel out 14

-8x is not equal to -4x

although this may seem like a weird answer, if x is the same variable (pretend it's one) 1 multiplied with -8 will not equal 1 multiplied with -4

Answer:

all real numbers

Step-by-step explanation:

Given

- 8x + 14 = - 2(4x - 7) ← distribute parenthesis

- 8x + 14 = - 8x + 14

Since both sides are equal, then any real value of x is a solution of the equation.

if y=60 when x=80, find x when y=-20.

Answers

Answer:

x= 26

Step-by-step explanation:

Im not sure but i had this same quistion on a quiz and i got it correct

Is the following equation proportional? y = 6x + 2 *

Is the following equation proportional? y = 3x *

yes or no answers thanks

Answers

Answer:

Step-by-step explanation

6x+2 is not equal to 3x so they are not proportional

scientific notation of 26,00,000 is what

Answers

Answer:2.6*10^5

Step-by-step explanation:

Olivia is cutting a 1 \dfrac12 \text{ m}1 2 1 m1, start fraction, 1, divided by, 2, end fraction, start text, space, m, end text by \dfrac34\text{ m} 4 3 mstart fraction, 3, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal.

Answers

Answer:

The answer is "[tex]0.375 \ m^2 \ \ and \ \ 0.1875 \ m^2[/tex]".

Step-by-step explanation:

A rectangular paper on the side is given by Olivia:

[tex]a= \frac{1}{2} \ m \\\\b= \frac{3}{4} \ m[/tex]

On the diagonal she cuts paper. A paper parts which results would be about half the original field.

Area of origin:

[tex]A= a\times b[/tex]

[tex]= \frac{1}{2} \times \frac{3}{4} \\\\= \frac{3}{8} \ m^2\\\\ = 0.375 \ m^2[/tex]

The resulting parts area:

[tex]A_2 =\frac{A}{2} = \frac{\frac{3}{8}}{2}[/tex]

[tex]=\frac{3}{16} \ m^2 \\\\= 0.1875 \ m^2[/tex]

4 more than one third of a number n is 6. An equation is? The solution is n =?

Answers

Answer:

[tex]\frac{1}{3}[/tex]n + 4 = 6

Step-by-step explanation:

Given problem:

4 more than one third of a number n is 6

Unknown:

The equation = ?

Solution of the number = ?

Solution:

let the number = n

So, 4 more than one third of a number;

One third of n = [tex]\frac{1}{3}[/tex]n

4 more;

[tex]\frac{1}{3}[/tex]n + 4

is 6;

[tex]\frac{1}{3}[/tex]n + 4 = 6 (equation of the expression)

Let us now solve the equation:

[tex]\frac{1}{3}[/tex]n + 4 = 6

[tex]\frac{1}{3}[/tex]n = 6 - 4

[tex]\frac{1}{3}[/tex]n = 2

n = 6

Find the slope of (-2,1),(-2,2)

Answers

Answer:

there is no slope its undefined

Step-by-step explanation:

A package of 4 pairs of insulated socks costs $27.96. What is the unit price of the pairs of socks?
The unit price is $ per pair of socks.

Answers

Answer:

1 pair of socks cost $6.99

Step-by-step explanation:

$27.96 divided by 4 = $6.99

Hope I helped :)

Please consider Brainliest :)

if f(×)=3×/2+× find the exact value of f(-4)

Answers

go to socrertive and I’ll give you the answer

What is the range of this data set?

A.) 53
B.) 60
C.) 100
D.) 40

Answers

Answer:

53 or A

Step-by-step explanation:

Range would be 75 - 22 = 53

Answer:

Step-by-step explanation:

log2 (3x – 1) = log4 (x + 5) Solve the equation

Answers

Answer: x=11

Step-by-step explanation:

2(3x-1)=4(x +5)

3x-1=2(x+5)

3x-1=2x+10

3x=2x+10+1

3x=2x+11

3x-2x=11

x=11

PLZZZ HELP ME!!!

A company is selling hot air balloon rides to raise money for a children’s charity. the cost of going on a balloon ride is a flat rate of $50 and $15 per hour of flight time. Ms. Lopez plans to donate at most $85. Find the number of hours she can spend in the balloon ride. Round your answer to the nearest hour.

Answers

Answer:

Step-by-step explanation:

(85-50) / (15) = 35 / 15 = 2.33 hrs, round to the nearest hour that would be 2 hrs

2 hours
First write the equation
Then subtract 80-50
After that 35/15

negative - positive=

Answers

Answer:

Negative

Step-by-step explanation:

Ex 1. -3 - 2 = -5

Ex 2. -10 - 6 = -16

Hope this helps!

PLEASE HELP ME. Select Function or Not A Function.

Answers

Answer:

a and c are functions b is not

Step-by-step explanation:

a and c are both functions

while b, is not

HELP NEEDED ASAP WILL GIVE YOU BRAINLIEST AND 5 STARS RATE

Answers

Answer:

A) - .5

B) 7

C) - 2

Step-by-step explanation:

a^2+b^2=c^2
solve in terms of a

Answers

Step-by-step explanation:

a² + b² = c²

a² = c² - b²

√a² = √c² - √b²

a = c - b

Find the value of pq - r/4 when p= -8 and q= -3 and r= 68

Answers

Answer:

Step-by-step explanation:

pq - r/4

(-8)(-3) - 68/4

-8 x -3 = 24 (2 negatives equal a positive)

24 - 68/4

68/4 = 17

24-17 = 7

If f(x)=4^x-8 and g(x) =5x+6, find (f+g)(x)

Answers

Answer:

Step-by-step explanation:

(f + g)(x) = f(x) + g(x), then

f(x) + g(x)

= [tex]4^{x}[/tex] - 8 + 5x + 6 ← collect like terms

= [tex]4^{x}[/tex] + 5x - 2 → C

(f+g)(x)=f(x)+g(x)=4^x-8+5x+6=4^x-2+5 or 4^x+5x-2 answer is C

Can someone Help explain this geometry question

Answers

Answer:

if you add it all up then divide it by the amount of numbers their are you'll get 22

Step-by-step explanation:

How do I find the area of a triangle if I only have the angle and 1 side length?

Answers

Answer:

5.4

Step-by-step explanation:

Use the pythagorean theorem a^2 + b^2 = c^2

67. Find all points on the x-axis that are 5 units from the point
(4, -3).

Answers

Answer:(9,2) I assume I don’t really understand the question

Step-by-step explanation:

A number line going from negative 3 to positive 5. An open circle is at 1.5. Everything to the right of the circle is shaded. Which symbol completes the inequality represented on the graph? z _____ 1.5 > Greater-than-or-equal-to < Less-than-or-equal-to

Answers

Answer:

Step-by-step explanation:

Which symbol completes the inequality represented on the graph?

z _____ 1.5

Greater-than-or-equal-to

Less-than-or-equal-to

The required inequality is given as Z Greater than or equal(≥) to 1.5.

Number line from -3 to 5 is given and a open circle at 1.5.
Right of the circle is shaded and the inequality for the shaded portion to be determine.

What are inequalities?

Inequality is when the equations contain [≤ , ≥ <, >] is termed as inequalities.

Here, in the given numerical shaded potion of Z is beyond 1.5 to the right so their must be an greater than equal to (≥) after z. i.e. z ≥ 1.5.

Thus, the required inequality is given as Z Greater than or equal(≥) to 1.5.

Learn more about Inequality here:
https://brainly.com/question/20383699

#SPJ2

this question is driving me nuts The rest says the right triangle

Answers

Answer:

Step-by-step explanation:

what is the domain?

Answers

Answer:

[-5,5]

Step-by-step explanation:

Derivative of 6^(4x)

Add step by step explanation

Answers

Answer:

4*6^4x ln(6)

Step-by-step explanation:

6^(4x)

6^4x

-d/dx[6^4x]

ln(6)*6^4x*d/dx[4x]

ln(6)*6^4x*4*d/dx[x]

4ln(6)*6^4x*1

4ln(6)*6^4x

4*6^4x ln(6)

Identify the vertex for the given function. 2(x-1)^2 + 8

Answers

Answer:

(1,8)

Step-by-step explanation:

Hope the answer helps!!!!

What expression that is equivalent to 6a+4b+c.

Answers

Answer:

do you need factor, combine like terms or simplify

Simplify the expression using the order of operations.

(12 − 9)3 − 2 × 7 =

Answers

Answer:

-5

Step-by-step explanation:

Parentheses

Exponents

Multiply

Divide

Add

Subtract

(12-9)3-2x7=

(3)3-2x7=

9-14= -5

Answer:

-5 I used pemdas

Step-by-step explanation:

Brainliest please

Pedro created the model below.

What percent is represented by the shaded region of the model?

Answers

Answer:

3% of 8%

Step-by-step explanation:

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Representing each situation by translating it to algebraic expression. - a motorcycle driver travels 15kph faster than a bicycle rider. the motorcycle driver covers 60km in two hours less than the time it takes the bicycle rider to travel the same distance.​

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Representing each situation by translating it to algebraic expression.

- a motorcycle driver travels 15kph faster than a bicycle rider. the motorcycle driver covers 60km in two hours less than the time it takes the bicycle rider to travel the same distance.