7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed. By how many meters will Robert beat Sam?
Hint: By how many meters would Robert beat Sam if the race were 50 meters? 100 meters? 150 meters?

Answer:

12x12 12x6 H = 46cm

Step-by-step explanation:

took quiz

Answer:

46 cm

Step-by-step explanation:

I learned this formula in math last year

Answer:

draw a line that makes a triangle and rectangle.

hypotenuse= 30

3k-4k-5k triangle

18-24-30

so the short part of triangle is 18 cm

10+10+18+24+30 equals 92

sorry for language I am not familiar with English

the perimeter of this shape is

24+10+10+30+\(\sqrt{30^{2} -24^{2} }\) = 92 cm

Answer:

y=4       x=1

Step-by-step explanation:

(-3x+5y=20)x4

(4x+8y=32)x3

-12x+20y=80

12x+24y=96

-12x+20y=80

+12x+24y=96

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

44y=176

y=4       x=1

(i) x–3y–3=0

3x–9y–2=0

Comparing these with pair of equations of the form a

1

​

x+b

1

​

y+c

1

​

=0

and a

2

​

x+b

2

​

y+c

2

​

=0,  

a

2

​

a

1

​

​

=

3

1

​

,

b

2

​

b

1

​

​

=

−9

−3

​

=

3

1

​

,

c

2

​

c

1

​

​

=

2

3

​

∵

a

2

​

a

1

​

​

=

b

2

​

b

1

​

​



=

c

2

​

c

1

​

​

, the lines have no solution.

(ii) 2x+y=5

3x+2y=8

a

2

​

a

1

​

​

=

3

2

​

,

b

2

​

b

1

​

​

=

2

1

​

,

c

2

​

c

1

​

​

=

8

5

​

∵

a

2

​

a

1

​

​



=

b

2

​

b

1

​

​

, the lines have unique solution.

(iii) 3x−5y=20

6x−10y=40

a

2

​

a

1

​

​

=

6

3

​

=

2

1

​

,

b

2

​

b

1

​

​

=

−10

−5

​

=

2

1

​

,

c

2

​

c

1

​

​

=

40

20

​

=

2

1

​

∵

a

2

​

a

1

​

​

=

b

2

​

b

1

​

​

=

c

2

​

c

1

​

​

, the lines have infinitely many solution.  

(iv) x−3y−7=0;3x−3y−15=0

a

2

​

a

1

​

​

=

3

1

​

,

b

2

​

b

1

​

​

=

−3

−3

​

=1,

c

2

​

c

1

​

​

=

15

7

​

∵

a

2

​

a

1

​

​



=

b

2

​

b

1

​

​

, the lines have unique solution.

Answer:

Step-by-step explanation:

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.

The angle sum property of a triangle;

80 + 26 + B = 180

B = 180 - 106

B = 74

So, the answer is 74  degrees.

Answer:

6

Step-by-step explanation:

Answer:

qr is = to 5.83 so its closest to 5.8

so A my guy brainlyness please

Step-by-step explanation:

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad R(\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QR=\sqrt{(~~5 - 8~~)^2 + (~~7 - 2~~)^2} \implies QR=\sqrt{( -3 )^2 + ( 5 )^2} \\\\\\ \implies QR=\sqrt{ 9 + 25 } \implies QR=\sqrt{ 34 }\implies QR\approx 5.8\)

Answer:Median; because the data is not symmetric and there are outliers.

Step-by-step explanation:We know that a median is a central tendency of a data and it best represents the given data set.

From the given information we see that the data is skewed to the right since most of the data points takes the higher value and the data is not symmetric as it is skewed.

      Hence, last option is the correct answer.

Answer:

C: 184 mm

Step-by-step explanation:

46*4 = 184

Answer:

the orginal measurment of the square is 15

Step-by-step explanation:

70 divided by 4 = 17.5

17.5 - 2.5= 15  

check answer

15 + 2.5= 17.5

17.5 times 4 = 70

To design a spinner with the given probabilities, we can use the following sectors:

A sector covering 60 degrees for the number 1, with probability 1/6.

A sector covering 120 degrees for the number 3, with probability 1/3.

A sector covering 180 degrees for the number 7, with probability 1/2.

A sector covering 180 degrees for the odd numbers (1 and 3), with probability 1.

To create the spinner, draw a circle and divide it into four equal sectors. Color one sector red for the number 1, color two adjacent sectors green for the number 3, color one remaining sector blue for the number 7. Finally, color half of the blue sector green to represent the odd numbers.

The resulting spinner will have the desired probabilities: P(1) = 1/6, P(3) = 1/3, P(7) = 1/2, P(odd number) = 1.

Answer:

16

Step-by-step explanation:

If you divide 3840 by 240 you end up with 16

Answer:

16 cups

Step-by-step explanation:

divide the total amount of millilitres by how many millilitres are in a cup

Answer:

\(\large\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&2\\\cline{1-2}12&4\\\cline{1-2}18&6\\\cline{1-2}\end{array}\)

See attachment for the graph of the equation.

Step-by-step explanation:

Given equation:

\(y=\dfrac{1}{3}x\)

To complete the table, find the corresponding values of y by substituting each given value of x into the equation.

\(x=6 \implies y=\dfrac{1}{3}(6)=\dfrac{6}{3}=2\)

\(x=12 \implies y=\dfrac{1}{3}(12)=\dfrac{12}{3}=4\)

\(x=18 \implies y=\dfrac{1}{3}(18)=\dfrac{18}{3}=6\)

Therefore the completed table is:

\(\large\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&2\\\cline{1-2}12&4\\\cline{1-2}18&6\\\cline{1-2}\end{array}\)

To graph the equation, plot the ordered pairs on the given coordinate plane:

Draw a straight line through the points.  (See attachment).

Answer: The answer is B

Step-by-step explanation:

a = 3n + 4

a - 4 = 3n

   a - 4         = n

      3

b = 7 + 9n^2 = 7 + 9  __(a - 4) ^2___ = 7 + 9   _(a - 4) ^2_____

                                         3^2                                 9

= 7 + (a - 4)^2 = 7 + a^2 - 8a + 16

= a^2 - 8a + 23

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Step #1:  Find the slope.

Slope is "rise over run" and see the attached graph to see

    the rise = 1

    the run = 4

and this gives a slope of 1/4.

Step 2: Find the y-intercept.  

The y-intercept is where this graph hits the vertical axis.  That happens at a height of 20, so your y-intercept is (0,20) and your b-value for the slope-intercept form is 20.

Step 3: Put it all together:

y = mx + b becomes

\(y = \frac{1}{4} x + 20\)

Answer:

1/4

Step-by-step explanation:

The equation is rise over run so it would be up 1 over four

Answer:

y=2x - 26

Step-by-step explanation:

y=mx+b

2 is m

26 is b

Hope this helped you-have a good day bro cya)

Answer:

Well even though you dont need it now the answer is v = 42 squared

Step-by-step explanation:

I used g00g1e like a normal person would

Answer:

Probability is 1/12.

Explanation:

So the chance that she will roll an even number on her first roll is 3 out of 6, or simplified 1 out of 2. On her second roll, the probability that she will roll a 5 is 1 out of 6. To roll these both as a pair consecutively, you would need to multiply their probabilities. You do \(\frac{1}{2}\) x \(\frac{1}{6}\)  which is equal to \(\frac{1}{12}\) .

Answer:

2/3

Step-by-step explanation:

3/6 + 1/6 = 4/6 = 2/3

Answer:

Hello,

Step-by-step explanation:

The first number is

\(\dfrac{8}{12}\)

The second number is

\(\dfrac{9}{12}\)

Their sum is:

\(\dfrac{8}{12} +\dfrac{9}{12} =\dfrac{8+9}{12}=\dfrac{17}{12}\)

Answer:

67

Step-by-step explanation:

Answer: you still need this ?

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

first you need to look where it saids there are 18 cabins and each cabin has eight beds

so you will multiply

18 * 8 = 144

and if there is 252 campers you need to subtract 252 by 144

252 - 144 = 108

Meaning that 108 campers will have to sleep in tents

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

Answer:

81

Step-by-step explanation:

Given the relationships \(a \propto y^2\) and \(b \propto \frac{1}{y}\), let's solve for the proportionality constants and then use them to find \(x\) when \(y = 4\).

From the given values:

1. When \(x = 18\) and \(y = 2\), we have \(a + b + 4 = 18\).

2. When \(x = -3\) and \(y = 1\), we have \(a + b + 4 = -3\).

We can set up two equations using the given proportionalities and the given values:

Equation 1: \(a = ky^2\)

Equation 2: \(b = \frac{c}{y}\)

Substituting these into the first given condition:

\(ky^2 + \frac{c}{y} + 4 = 18\)

Substituting these into the second given condition:

\(ky^2 + \frac{c}{y} + 4 = -3\)

Solving these two equations will allow us to find the constants \(k\) and \(c\), and then we can use them to find \(x\) when \(y = 4\).

Let's solve the equations:

From the first equation:

\(k(2^2) + \frac{c}{2} + 4 = 18\)

\(4k + \frac{c}{2} + 4 = 18\)

\(4k + \frac{c}{2} = 14\)

From the second equation:

\(k(1^2) + \frac{c}{1} + 4 = -3\)

\(k + c + 4 = -3\)

\(k + c = -7\)

Now we have a system of two equations:

1. \(4k + \frac{c}{2} = 14\)

2. \(k + c = -7\)

Solve the second equation for \(k\): \(k = -c - 7\)

Substitute this into the first equation:

\(4(-c - 7) + \frac{c}{2} = 14\)

\(-4c - 28 + \frac{c}{2} = 14\)

\(-8c - 56 + c = 28\)

\(-7c = 84\)

\(c = -12\)

Substitute \(c\) back into \(k + c = -7\):

\(k - 12 = -7\)

\(k = 5\)

Now that we have \(k\) and \(c\), we can determine the values of \(a\) and \(b\) using the given proportionalities:

\(a = 5y^2\)

\(b = \frac{-12}{y}\)

Finally, substitute these values of \(a\), \(b\), and \(y\) into the equation \(x = a + b + 4\) to find \(x\) when \(y = 4\):

\(x = 5(4^2) + \frac{-12}{4} + 4\)

\(x = 80 - 3 + 4\)

\(x = 81\)

So, when \(y = 4\), \(x\) is 81.

Answer:

78+25+61+55+64=283

360-283=77

180+77=257

Answer:

Step-by-step explanation:

So if 72 = 45 then 360 = x

so 360x 45/72 which is 225

Answer:  You should do a representation of how the heat and light waves reach humans on earth and keep us warm.

Step-by-step explanation:

all your answers are already in the task introduction.

1. Make earth out of styrofoam ball (buy at a dollar store) and paint. (blue and green). (If you want to make humans out of popsicle sticks)

2. Use velvet pipe cleaners (blue for cold air and red for hot air) to represent convection and conduction.

3. Use yellow pipe cleaners for solar energy to represent radiation.

4. Rest is up to you for how you want it to look.