Rihanna works in a coffee shop approximately nine miles from her apartment She bikes every day from her apartment to the coffee shop and then back to her apartment in the evening. However, on her way to work, she always stops halfway through to meet her best friend at a park. If the distance from apartment to the park is (5x +2) miles and the trip from the park to the coffee shop is (25x -8) miles long, then what is the value of x?

Answers

Answer 1

Answer:

x = 0.5

Step-by-step explanation:

When we add up the distance between the apartment and park with the distance between the park and the coffee shop, the total will equal nine miles.

Our equation will look like this:

(5x + 2) + (25x - 8) = 9

Add up the like terms

5x + 2 + 25x - 8 = 9

30x - 6 = 9

Add 6 to both sides

30x - 6 = 9

      + 6  + 6

30x = 15

Divide both sides by the coefficient, 30, to isolate the variable, x

30x/30 = 15/30

x = 15/30

Reduce

x = 1/2


Related Questions

what is (2x9)- (15 divided by 3)

Answers

Answer:

13

Step-by-step explanation:

We can simplify it:

(2x9)-(15/3)

(18)-(5)

18-5

13

8. A juice container shaped like a cylinder has a base area of 100 cm2 and can hold 1500 cm3 of juice. The height of the juice container is

Answers

Answer:
15 cm

Explanation:
The cylinder’s volume can be found by multiplying base by height. The formula for this would be base*height=volume. The base and volume are given, so plug the values in and solve for height.

base*height=volume
100*height=1500
height=15 cm

The height of a juice cylinder container with base area of 100 cm² and volume of 1500 cm³ is 15 cm

Base area of a cylinder

Base area = πr²

base area = 100 cm²

100 = π × r²

r² = 100 / π

r = √100 / π

Volume of a cylinder  

volume = πr²h

1500 = π (√100 / π)² × h

1500 = π(100 / π) × h

1500 = 100h

divide both sides by 100

h = 1500 / 100

h = 15 cm

learn more on cylinder here: https://brainly.com/question/27342403

Please help me!!! I need to finish soon

Answers

Answer:

S=47.1cm (to 3s.f.)

Step-by-step explanation:

To find the arc length, S, use the formula S=radius x angle(in radians)

S=10x 3pi/2

=47.1cm (to 3s.f.)

For each function, state whether it is linear, quadratic, or exponential.

Answers

Answer:

Step-by-step explanation:

Table for function 1,

         x                      y              Difference 1          Difference 2        

         2                    10                      -                             -

         3                     1                 1 - 10 = -9                     -

         4                    10                10 - 1 = 9                9 - (-9) = 18

         5                    37               37 - 10 = 27            27 - 9 = 18

         6                    82               82 - 37 = 45          45 - 27 = 18

Since, difference 2 is common as 18,

Table will represent a quadratic function.

Table for function 2,

        x                    y               Difference 1            Difference 2

        5                    16                       -                               -

        6                    19              19 - 16 = 3                        -

        7                    28             28 - 19 = 9                  9 - 3 = 6

        8                    43             43 - 28 = 15              15 - 9 = 6

        9                    64             64 - 43 = 21              21 - 15 = 6

Since, difference 2 is common as 6,

Table will represent a quadratic function.

Table for function 3,

        x                    y                   Ratio

        1                   112                     -

        2                  56               56 ÷ 112 = [tex]\frac{1}{2}[/tex]  

        3                  28               28 ÷ 56 = [tex]\frac{1}{2}[/tex]

        4                   14               14 ÷ 28 = [tex]\frac{1}{2}[/tex]

        5                    7                7 ÷ 14 = [tex]\frac{1}{2}[/tex]

Since, ratio is common as [tex]\frac{1}{2}[/tex].

Table will represent an exponential function.

Dave has been running every day to get
in shape for the track season. He wants
to determine his average rate.
Dave learned the following formula in his
science class:
d = r.t
where
d = distance
r = rate
t = time

Answers

Answer:

r = d/t

Step-by-step explanation:

Given:

d = r * t

where,

d = distance

r = rate

t = time

Rewrite the equation to determine Dave's rate

d = r * t

d = rt

Divide both sides by the

d / t = rt / t

d / t = r

r = d/t

Average rate, r = d/t

Evaluate 4x-2 when x = 5.
A. 18
B. 12
C. 43
O D. 22

Answers

Answer:

A: 18

Step-by-step explanation:

1. 4(5) - 2

2. 20 - 2

3. 18

In algebra when we always see a number with an “x” it’s a multiply.so 4x would be 4 multiply by x in this case x is 5.
4 multiply by 5 will give you 20 then you just subtract the 2 which is 18 so the answer will be A :)

Literally what is this lol

Answers

Answer:

i think the first one- bc it should be 11x5pi but it would still end up as 55pi

Step-by-step explanation:

sorry if that doesnt help

2-5-9:0= 6797 so that’s yo answer

Patricia has $34,000 to invest. She invests some at 17% and the balance at 20%. Her total annual interest income is $6245. Find the amount invested at each rate

Answers

Answer:

she invest $18,500 at the 17% rate and $15,500 at the 20% rate.

Step-by-step explanation:

Suppose that you invest some quantity A to an invest rate of x%

At the end, the amount you will have is given by:

Amount = A + A*(x%/100%)

Where:

A*(x%/100%)  is the interest income

So, here she initially has $34,000

And she invest some quantity X to a 17% and a quantity Y to 20%

Then we have:

X + Y = $34,000

And we know that her total anual income is $6245

X*(17%/100%) + Y*(20%/100%) =  $6245

Then we have a system of two equations:

X + Y = $34,000

X*(17%/100%) + Y*(20%/100%) =  $6245

First we can rewrite the second one to a more simpler form:

X*(0.17) + Y*(0.20) =  $6245

Now we can isolate one of the variables in the first equation to get:

X = $34,000 - Y

Now we can replace that in the other equation to get:

( $34,000 - Y)*0.17 + Y*0.20 = $6245

Now we can solve this for Y:

$34,000*0.17 + Y*(0.20 - 0.17) = $6245

$5,780+ Y*0.03 =  $6245

Y*0.03 = $6245 - $5,780 = $465

Y = $465/0.03 = $15,500

And X = $34,000 - Y = $34,000 - $15,500 = $18,500

So she invest $18,500 at the 17% rate and $15,500 at the 20% rate.

Today only, a desk is being sold at a 33% discount. The sale price is $268. What was the price yesterday?

Answers

Discount percent = 33%

Sale price = $268

Let the original price be $x.

So,

[tex]x - (33\% \: of \: x) = 268 \\ = > x - ( \frac{33}{100} \times x) = 268 \\ = > x - ( \frac{33x}{100}) = 268 \\ = > \frac{100x}{100} - \frac{33x}{100} = 268 \\ = > \frac{(100x - 33x)}{100} = 268 \\ = > \frac{67x}{100} = 268 \\ = > 67x = 268 \times 100 \\ = > 67x = 26800 \\ = > x = \frac{26800}{67} \\ = > x = 400[/tex]

So, yesterday the price was $400.

What is the slope of a line that is perpendicular to the line: -4x + 6y = -1 ?

A. -3/2
B. -2/3
C. 1/4
D. 3/2

Answers

Your answer should be 2/3

Which r-value represents the weakest correlation?

–0.75
–0.27
0.11
0.54

Answers

Answer:

0.11

Step-by-step explanation:

Strongest correlation:

The strongest correlations happen for [tex]r = -1[/tex] and [tex]r = 1[/tex], that is, when r has the higher absolute value.

In this question:

The value of r with the lowest correlation is the one with the lowest absolute value(absolute value of -0.75 is 0.75 for example), so it is 0.11, which is the answer.

Answer:

it's C on edg

Step-by-step explanation:

.11

What should be done first to evaluate the expression?

4 + 8 ÷ 4 - 2 × 5

Add 4 and 8.
Divide 8 by 4.
Subtract 2 from 4.
Multiply 2 by 5.

Answers

Divide 8 by 4

Because is PEDMAS, division comes first.

Answer:

divide 8 by 4

Step-by-step explanation:

PEMDAS or BODMAS

2. The parameter "b": Compare the graphs of several different exponential growth functions in
Mathematica to discover the significance of the parameter "b". Explain in detail what the
parameter "b" tells you about the graph of an exponential growth function.

Answers

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "b" in exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

In the above equation, parameter "b" is the rate of the function

In other words, the constant multiplier of the function.

Take for instance;

[tex]y = 2*4^x[/tex]

By comparison:

[tex]b = 4[/tex]

Another instance is:

[tex]y = 2(-4)^x[/tex]

By comparison

[tex]b = -4[/tex]

Other significance of parameter b are:

If [tex]b > 0[/tex] then b represents a growth factor

If [tex]b < 0[/tex] the b represents the factor of decay

[tex]b \ne 0[/tex] i.e. b is never 0

Simplify. 1224√
THIS IS A KEYSTONE ALGEBRA THING LOL

Answers

Answer:

6[tex]\sqrt{34}[/tex]

Step-by-step explanation:

[tex]\sqrt{1224}\\[/tex] = [tex]\sqrt{36*34}[/tex] = 6[tex]\sqrt{34}[/tex]

please help. i need this done today

Answers

Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

Mr. Serpe started with $200. He has a hole in his pocket and he lost $2 every day for a week. He then found $150. How much money does he have?

Answers

Answer:

336

Step-by-step explanation:

2x7=14, so 200-14=186, then 186+150=336

Will give brainliest to the first person who answers

Answers

Answer:

z =86

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angles

z + z-39 = z+47

2z-39 = z+47

Subtract z from each side

z-39 = 47

Add 39 from each side

z = 47+39

z =86

The given information is,

To find the required value of z.

Property we use,

The exterior angle of a triangle is the sum of the opposite interior angles.

Now we can get the value of z,

→ z + z-39 = z + 47

→ 2z-39 = z + 47

→ 2z -z = 47 + 39

→ z = 47 + 39

→ [z = 86]

Thus, the required value of z is 86.

How much less is 17km than 24.6km?​

Answers

24.6-17= 7.6 (km) i think so

Answer:

[tex]7.4km[/tex]

Step-by-step explanation:

[tex]24.6km - 17km \\ = 7.4km[/tex]

hope this helps you.

Can someone help me with this math homework please!

Answers

The answer is A and C
A and c hope this helps!!

The wind is blowing opposite to leg AB. Given the fact that you’re traveling in a wind-powered boat, which leg of the course will take you the longest? Why? (4 points)

Answers

Answer:

The leg of the course that will take longest is from A to B

The reason is that the leg of the course, A to B is slowed by the wind

Step-by-step explanation:

The direction of the wind is opposite to leg AB

The starting and finishing point is point A, and the course is from A to B to C and back to point A

The leg of the course that will take the longest is course in which th motion is against the wind which is from B to A

The motion from B to C and from C to A are partly in the wind ward direction, because the wind would be behind the sales and will therefore be aided by the wind, leading to rapid motion

However, the starting motion on the leg from A to B is opposite the wind and will be slowed down by the wind, and would therefore, take the longest.

Complete the equations below. 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths}\div 2 hundredths÷2start text, space, h, u, n, d, r, e, d, t, h, s, end text, divided by, 2 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths} hundredths start text, space, h, u, n, d, r, e, d, t, h, s, end text 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals

Answers

Answer:

[tex]1.86 \div 2 = 0.93[/tex]

Step-by-step explanation:

The correct form of the question is:

Complete the equations below.

[tex]1.86 \div 2 =[/tex]

Required

Solve

Start from left to right

[tex]1 \div 2 = ??[/tex] --- this will give a fraction.

So, we append the next digit

[tex]1.8 \div 2 = 0.9[/tex]

Next:

[tex]0.06 \div 2 = 0.03[/tex]

Bring the results together:

[tex]1.86 \div 2 = 0.9+ 0.03[/tex]

[tex]1.86 \div 2 = 0.93[/tex]

which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2?

Answers

the answer is on the photo

HELP!!! I'M SO CONFUSED! TRIANGLE ABC has vertices A(0,4), B(-1,4), and C(0, -3). What are the coordinates of the image of point A after a dilation with a scale factor of 2?​

Answers

Answer:

(0, 8 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of point A by 2 , that is

A (0, 4 ) → A' (2(0), 2(4) ) → A' (0, 8 )

It is (0, 8)

Explanation:
You multiple the x and y coordinates of A by 2 when dilating to get (0, 8).

Find the missing side length

Answers

Answer:

35

Step-by-step explanation:

Since the triangles are similar, we can write a ratio

25      ?

---- = -----

5       7

Using cross products

25*7 = 5 ?

Divide each side by 5

25*7/5 = 5?/5

35 = ?

HELP QUICK ILL GIVE BRAINLIEST

Answers

Answer:

A=35 degrees, B=55 degrees, C=110 degrees

Step-by-step explanation:

The 35 degree given angle is vertical angles with A, so they are congruent

The sum of angles in a triangle is 180, and we already have 2 angles (35 and 90) so subtract those and you get 55

angle c and the other given angle (70 degrees) are supplementary so subract 70 from 180

There are 25 rows of seats in the high school auditorium with 20 seats in the first row, 21 seats in the second
row, 22 seats in the third row, and so on. How many total seats are in the auditorium?
OA) 800 seats
OB) 860 seats

Answers

Answer:

A) 800 seats

Step-by-step explanation:

Notice that an arithmetic sequence is formed with the number of seats. Since we're adding one seat each row, the last (25th) row will have 44 seats since the first row has 20 seats.

The sum of an arithmetic sequence is given by:

[tex]S_n=n\left(\frac{a_1+a_n}{2}\right)[/tex], where [tex]n[/tex] is the number of terms, [tex]a_1[/tex] is the first term, and [tex]a_n[/tex] is the last term

Therefore, substituting [tex]a_1=20[/tex], [tex]a_n=44[/tex], and [tex]n=25[/tex], we get:

[tex]S_n=25(\frac{20+44}{2}),\\s_n=25\cdot 32=\boxed{800}[/tex]

50 POINTS!!!! If you were on a rocket ship for a month that sat in between the moon and earth, how might moon phases be different? (need quickly!!!) also at least 2-4 sentences

Answers

Answer:I would sayif the planet earth was making a shadown on it. when u on other side

Step-by-step explanation:

That is the best i got

Answer:

Different times

Step-by-step explanation:

The closer you could get to the moon, the faster the phases will move. If you are about half way it should cut the time it takes to get through a season. Since you get closer to the object.

Solve for the triangle: ABC
A: 90 degrees
B: 6 feet
C: 10 feet

Answers

I would say A degrees, bc it’s an angle, but I would need more information

16:32:12
Which linear inequality is represented by the graph?
O x < 2 x + 3
Oy> x+3
O y>x+3
O y<{x+3
-3 -2 -1

Answers

It’s y>x+3 the third one

The linear inequality that represents the graph is y > (2/3)x + 3.

Option C is the correct answer.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

y < (2/3)x + 3

y > (3/2)x + 3

y > (2/3)x + 3

y < (3/2)x + 3

The graph is on the positive side of the y-coordinate so,

We can consider:

y > (3/2)x + 3

y > (2/3)x + 3

Now,

Plotting in a graph we see that,

We need to have the y-intercept at y = 3 and the x-intercept at x = 4.5.

So,

y > (2/3)x + 3 satisfied.

Thus,

y > (2/3)x + 3 represents the graph.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Find DC, given that line AD is the angle bisector of < CAB.

Answers

Answer:

8

Step-by-step explanation:

LINE DC =BD

because line AD is a bisector of CAB

Dividing line CAD into two equal half's

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