Use the tape diagram below to help visualize 1/3 being devided by 5

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer:

c

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

Answer:

5 dollars for 1 sub

Step-by-step explanation:

y2-y1/x2-x1=unit rate

20-10/4-2

10/2

5

Answer:

35 years old

Step-by-step explanation:

Let Janice's age = j.

Let Ross's age = r.

j = 5r

j = r + 28

Set the equations equal to each other.

5r = r + 28

4r = 28

r = 7

j = 5r

j = 5(7)

j = 35

Answer: 35 years old

The dimensions of the rectangle will be (2x - 9)(x - 5).

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.

The dimensions of the rectangle will be the factors of the quadratic equation.

2x² - 19x + 45

2x² - 10x -9x + 45= 0

2x( x - 5 )-9(x - 5)= 0

( 2x - 9 ) ( x - 5 ) = 0

Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).

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Answer:

Two parallel lines have the same slope, so, the slope of the parallel line is also negative 2/3

Step-by-step explanation:

Answer:109.1 feet

Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos N = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{73}{x}

cosN=

hypotenuse

adjacent

​

=

x

73

​

\cos 48=\frac{73}{x}

cos48=

x

73

​

x\cos 48=73

xcos48=73

Cross multiply.

\frac{x\cos 48}{\cos 48}=\frac{73}{\cos 48}

cos48

xcos48

​

=

cos48

73

​

Divide each side by cos 48.

x=\frac{73}{\cos 48}=109.0968\approx 109.1\text{ feet}

x=

cos48

73

​

=109.0968≈109.1 feet

Type into calculator and roundto the nearest tenth of a foot.

Answer:

1.324

Step-by-step explanation:

Just divide 1324 by 1000 to get your conversion rate which is 1.324

If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens

Answer: -1

Step-by-step explanation:

f(x)=-x-5

f(-4)=-(-4)-5

f(-4)=4-5

f(-4)=- 1

Answer:

6 hours.

Step-by-step explanation:

The formula sort of has to be invented.

Al

rate = 1 shed / 2 hours

Tom

rate = 1 shed / x hours.

Together.

rate = 1 shed / 1.5 hours.

Equation

1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.

1/2 + 1/x = 1/1.5          Put the fractions over a common denominator.

(x + 2) / 2x = 1 / 1.5   Cross Multiply

1.5(x + 2) = 2x           Remove the Brackets.

1.5x + 3 = 2x             Subtract 1.5x from both sides

3 = 2x - 1.5x

3 = 0.5x                    Multiply both sides by 2

6 = x

It would take Al 6 hours to do the shed on his own.

Answer:

74 hope this works if not I'm sorry

Answer:

30 - 5% (1.5) = 28.5

28.5 + 5% (1.43) = 29.93

The chimes cost $29.93

Answer:

7. Each sweatshirt is $60

8. Table is    3,60 and   5, 100  and   8,160  and   9,180  and     12,240

9. You would graph table by plotting the x,y coordinates of each point on a graph and connecting the dots to show linear relationship

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Circles.

The centre of the circle is given as, (h, k)

The equation in form of centre and radius of the circle is given as,

===> (x-h) ^2 + (y-k) ^2 = r^2

hence, the equation would be,

===> (x-90)^2 + (y-195)^2 = (88)^2

Answer:

4n+2

Step-by-step explanation:

Answer: THE ANSWER IS D. $2.15; $2.83

a taxi company charges passengers 1.75 for a ride,?

a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.  

what is the charge for 2.7 mile ride

A.    5.13

B.    1.08

C.    2.15

D.    2.83

Favorite Answer

D  2.83

c = 0.4. * 2.7 + 1.75

=> c = 2.83

Step-by-step explanation: It Looks Like The Answer is D

c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer

1.75+(2.7*.4)=

1.75+1.08=

2.83

The answer is $2.83

Answer:

382.041666667

Step-by-step explanation:

Answer:

382.0416

Step-by-step explanation:

Answer:

y=x

Step-by-step explanation:

When y=x, then the line goes up 1 and right 1.

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

Answer:

$46,800

Step-by-step explanation:

3/5 of 240 is 144

144*325 is 46,800

Answer:

b3/5of240 is144thentimesby325.00

Answer: 52.8 kilometers

Step-by-step explanation:

This week she plans to run 2²/₅ times as much as last week.

If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.

First convert the improper fraction to a proper one:

2²/₅ = 12/5

= 12/5 * 22

= 264/5

= 52.8 kilometers

Answer:

9

Step-by-step explanation:

please follow rate thank

Answer:

0.00000368

Step-by-step explanation:

Answer:

1,980 would be the area and the perimeter would be 39 im pretty sure

The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the runner is running at a rate of 12 mph for 15 min, hence:

speed = 12 mph, time = 15 min * 1/60 min per hour = 0.25 hours.

Hence:

Speed = distance/time

12 mph = distance/0.25 hours

distance = 3 miles

The distance travelled by the runner running at a rate of 12 mph for 15 min is 3 miles.

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Answer:

there ok

Step-by-step explanation:

Answer: you will either Add or Multiply

Step-by-step explanation:

Answer:

44.7

Step-by-step explanation:

Find the mean of the data set shown below. Round to the nearest tenth, if necessary.

This Week's High Temperatures (°F)

29, 38, 45, 31, 50, 58, 62

The formula for the Mean of a given set of data is

= Sum of terms/ Number of terms

Number of terms = 7

Hence,

Mean = 29+ 38+ 45+ 31+ 50+ 58+ 62/7

Mean = 44.714285714286

Approximately to the nearest tenth= 44.7

Answer:

Harry is paid £64

Step-by-step explanation:

To work this out you have to divide 48 ÷ 6 to get 8.

8 hours x £8 = £64

Answer:

64

you have to find the LCM of 48 including 6 and use the other number which is 8 and multiply it by how long Harry worked 8 hours which gives you £64