Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.

The speed at which he walks is 7.7km/hr

The formula for calculating the distance is expressed as;

distance = speed * time

Let the speed moved by the man be x

If the  man walks for 2 hours at a certain speed, his distance will be 2x km

If he then cycles at three times that speed for 4 hours, the new the speed at which he walks is 7.7km/hr

If he goes 77km altogether, hence;

2x + 4(2x) = 77

2x + 8x = 77

10x = 77

x = 77/10

x =7.7km/hr

Hence the speed at which he walks is 7.7km/hr

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Answer:

Step-by-step explanation:

Answer:

Square root is how many times your multiply the number by itself. So 7 square root 2 is 7x7 which is 49.

Answer:

A.

m>-50

i asked for all the quizzes answers on my questions and i will tell you!

Step-by-step explanation:

k12

Answer:

m<-50

Step-by-step explanation:

Answer:

[tex]5x^2 - 4[/tex]

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

[tex]f(x) - c[/tex]

In our case is:

[tex]x^2 - 4[/tex]

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

[tex]f(cx)[/tex]

In our case is:

[tex]5x^2[/tex]

Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:

[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]

Then evaluate for a number, for example 5:

[tex]f(5) = 25\\g(5) = 5[/tex]

the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get [tex]5x^2 - 4[/tex]

Answer:

5/3

Step-by-step explanation:

y= 3x - 5

Replace y with 0

0 = 3x -5

Rewrite the equation as

3x−5=0

Add 5 to both sides of the equation.

3x=5

Divide each term by 3 and simplify.

x = 5/3

Hope this helped :)

The perimeter of a square is the length of one side multiplied by 4 ( the number of sides)

3 ft x 4 sides = 12 ft.

Perimeter = 12 ft.

Answer:

4.3, 4,5, 5.4, and 5.5

Step-by-step explanation:

Answer:

I would love to help but there is no upload. Would you mind creating a new question with a picture or data of the graph

Step-by-step explanation:

Answer:

you have a 11/17 percent chance of getting an apple

Step-by-step explanation:

if there are 11 apples and 6 oranges. 11 out of 17 times you will get an apple

Answer:

m∠R=76°

Step-by-step explanation:

∠STR=∠RST=(2x+2)° (base angles of isos triangle)

2(2x+2)+(3x+1)=180 (angle sum of triangle)

      4x+4+3x+1=180

               7x+5=180

                    7x=180-5

                        =175

                      x=175÷7

                        =25

Hence, m∠R = (3x+1)°

                     = [3(25)+1]°

                     = (75+1)°

                     = 76°

Answer:

m∠R=76º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(2x+2)+(3x+1)+(2x+2)=180

Remove parentheses.

2x+2+3x+1+2x+2=180

Collect like terms.

7x+2+1+2=180

Add.

7x+5=180

Subtract 5 from both sides of the equation.

7x=175

Divide 7 from both sides of the equation.

x=25

m∠R=(3x+1)º

3x25+1=76º

m∠R=76º

Hope this helps :)

Answer:

the rabbits ran away

Step-by-step explanation:

now its 300 rabbits

Answer:

55°

Step-by-step explanation:

One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°

125°+ Unknown acute angle = 180°

Unknown acute angle = 180°-125°

Unknown acute angle =55°

Answer:

55°

Step-by-step explanation:

One triangle 180° 90+35 =125-180=55°

Answer:

10

Step-by-step explanation:

Answer:A loan company charges $30 interest for a one month loan of $500. Find the annual interest rate they are charging.

Step-by-step explanation:You will earn $160 interest total over the four years. Try it Now 1. A loan company charges $30 interest for a one month loan of $500. Find the annual interest ...

Answer:

returning the collateral

[tex]-4x^2 +64x +256 =0\\\\\implies x^2 -16x -64 =0\\\\\implies x^2 - 2 \cdot 8 \cdot x + 8^2 -8^2 -64=0\\\\\implies (x-8)^2 -128 =0\\\\\implies (x-8)^2 = 128\\\\\implies x-8 = \pm\sqrt{128} = \pm \sqrt{64 \times 2} = \pm 8\sqrt 2\\\\\implies x = 8 \pm 8\sqrt2\\\\\text{Hence,}~ x = 8+ 8\sqrt 2~\text{or}~ x = 8 - 8\sqrt 2[/tex]

Divide total earned by number of hours:

10.26/3 = $3.42

She earned $3.42 per hour

Step-by-step explanation:

The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)

Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l

Method:

The coordinates of the vertices of the given quadrilateral ABCD are as follows

A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)

Due to its orientation, the line l can be taken as being equivalent to the y-axis

The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)

Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;

A(-2 0), reflected across the y-axis gives the image A'(2, 0)

B(-3, 4), reflected across the y-axis gives the image B'(3, 4)

C(0, 4), reflected across the y-axis gives the image C'(0, 4)

D(-1, 1), reflected across the y-axis gives the image D'(1, 1)

The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;

A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)

The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph

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laminiaduo7 and 1 more users found this answer helpful

Answer:

[tex]\boxed{\sf All\: real\: numbers}[/tex]

Step-by-step explanation:

[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]

Apply Distribution law:

[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]

Combine like terms:

** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]

[tex]\sf 2(m-1)[/tex]

[tex]\hookrightarrow 2m-2[/tex]

-----------------------------------------

[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]

Combine like terms:

** [tex]\sf 15m+2m=17m[/tex]

[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]

Add 21 from both sides:

[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]

[tex]\longmapsto\sf 17m\le \:17m+19[/tex]

Subtract 17m from both sides:

[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]

[tex]\longmapsto\sf 0\le \:19[/tex]

Therefore, the solution of the inequality: All real numbers

_____________________________________________

Answer:

y = 1/3 x + 14/3

Step-by-step explanation:

We can identify the two points shown easily.

They are (-2, 4) and (4, 6).

First, we find the line of the slope of the line that contains those two points.

slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3

Now we use one point and the slope to find the y-intercept.

y = mx + b

Let's use point (4, 6) and the slope, 1/3.

6 = (1/3)(4) + b

18/3 = 4/3 + b

b = 18/3 - 4/3

b = 14/3

The equation is

y = mx + b

y = 1/3 x + 14/3

Answer:

+4.5B+0.5B-1.5B+0.5‐0.5+0.5

Answer:

s = 250

a = 225

Step-by-step explanation:

Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]

Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]

By graphing, we can let s = y and a = x, so we have the following equations:

[tex]x + y=475\\y=x+25[/tex]

Plugging this into Desmos, we have this: (look at screenshot uploaded)

We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.

Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]

The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.

Answer:

Second is the correct answer but i think all are correct

Answer:

Step-by-step explanation:

Assuming it has no spin

KE = ½mv²

KE = ½(12)10²

KE = 600 J

Answer:

24 R1

Step-by-step explanation:

9514 1404 393

Answer:

  A. {2x, x<1; (x+5)/2, x≥1}

Step-by-step explanation:

The left side of the graph (x<1) has positive slope and a y-intercept of 0. Only one answer choice matches: choice A.

Using the interpretation of a confidence interval, it is found that approximately 950 of those confidence intervals will contain the value of the unknown parameter.

A x% confidence interval means that we are x% confident that the population mean is in the interval.

In this problem:

0.95 x 1000 = 950

Hence, approximately 950 of those confidence intervals will contain the value of the unknown parameter.

A similar problem is given at https://brainly.com/question/24303674