Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
"Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
"Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is
the difference in the corresponding x-values."

Answer:

y = (13/6)(b - 12)

Step-by-step explanation:

b = 6/13 y + 12

Subtract 12 from both sides.

b - 12 = 6/13 y

Multiply both sides by 13/6.

(13/6)(b - 12) = y

y = (13/6)(b - 12)

Answer:

scale factor = ratio of corresponding side= 0p/xy = 4/10= 2/5

∠x = 58

∠y= 180-49-58= 73

Step-by-step explanation:

Step-by-step explanation:

m=-2

y+5=2(x-6)

y+5=2x-12

y=2x-17

Answer:

Step-by-step explanation:

2y = x + 11

y = 1/2x + 11/2

perp. -2

y + 5 = -2(x - 6)

y + 5 = -2x + 12

y = -2x + 7

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Add x to both sides.

70 +x = 8

Subtract 70 from both sides.

x = 8 - 70

x = - 62

None of the answers fit.

Step-by-step explanation:

Let's say c is the price of cinnamon tea, and s is the price of spice tea.

10c + 2s = 13

16c + 8s = 28

Divide the second equation by 4:

4c + 2s = 7

Subtract from the first equation:

6c = 6

c = 1

Use any equation to find s.

s = 1.5

Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.

Answer:

~966 apartments

Step-by-step explanation:

[tex]\frac{1044}{1.081}[/tex]

Answer:

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard = [tex]\frac{39}{80}[/tex]

Therefore, Option (C) will be the answer.  

Answer:

-6/11 =x

Step-by-step explanation:

We can use cross products to solve

(5x+2)/8=x/6

6 ( 5x+2) = 8x

Distribute

30x + 12 = 8x

Subtract 30x from each side

30x -30x +12 = 8x - 30x

12 = -22x

Divide each side by -22

12/-22 = -22x/-22

-6/11 =x

Answer:

Given circumference (C) = 16

Radius =  

C  =  

2π

2.5464790894703

Diameter =  

C  =  

π

5.0929581789407

Area =  

C2  =  

4π

20.371832715763

Step-by-step explanation:

We've all seen circles before. They have this perfectly round shape.

Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.

Answer:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter

Step-by-step explanation:

Answer:

Answer option "A" : line.

Step-by-step explanation:

The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.

Therefore the answer option "A" is the correct one.

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Because no matter what value x is, y is always 4

Answer:

(3,6)

Step-by-step explanation:

well it's parentheses because it is not equal to.

and it shouldn't have infinity signs because they both have stopping points

Answer: A

(3, 6)

Step-by-step explanation:

Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

Answer:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Step-by-step explanation:

i got 100% on edg. hope this helps!

Answer:

[tex]x_{18}=387420489[/tex]

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term not increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

[tex]x_n=3(3)^{n-1}[/tex]

To find the 18th term, substitute 18 for n. So:

[tex]x_{18}=3(3)^{18-1}[/tex]

Subtract:

[tex]x_{18}=3(3)^{17}[/tex]

Evaluate:

[tex]x_{18}=3(129140163)[/tex]

Multiply:

[tex]x_{18}=387420489[/tex]

And we're done!

Answer:

A. x = 1/2at²

Step-by-step explanation:

Among the equations, the equation that is dimensionally consistent is x=1/2at² where;

x is the distance in meters (dimension is length (L))

a is the acceleration in m/s² (dimension is L/T²)

t is the time in seconds (s) (dimension of time is T)

Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;

1/2at² = 1/2(L/T²)T²

= 1/2× L/T² × T²

= 1/2 × L

Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.

Answer:

15

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

2² + 6(3) - 7

Step 2: Evaluate exponents

4 + 6(3) - 7

Step 3: Evaluate parenthesis (multiply)

4 + 18 - 7

Step 4: Add

22 - 7

Step 5: Subtract

15

Answer:

12

Step-by-step explanation:

40/100*30

=12

Answer:

12..

Step-by-step explanation:

off topic but broski i think we're in the same school program?

Answer: 75/7

Step-by-step explanation:

Concept:

Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.

Solve:

1 7/8= 15/8

 1 7/8 × 10/7 × 4

=15/8 × 10/7 × 4

=150/56 × 4

=600/56

Answer:

$6/ book

Step-by-step explanation:

Unit price = Total cost/ total number of items

                = 90/15

                =$6 per book

Answer:

[tex]Rate = \$1.76/kg[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{16}kg[/tex] of nails costs [tex]\$ \frac{11}{100}[/tex]

Required

Determine the rate

The rate, in this case, will be calculated as:

[tex]Rate = \frac{amount}{weight}[/tex]

[tex]Rate = \frac{\frac{11}{100}}{\frac{1}{16}}[/tex]

This gives

[tex]Rate = \frac{11}{100}/\frac{1}{16}[/tex]

[tex]Rate = \frac{11}{100} * 16[/tex]

[tex]Rate = \frac{176}{100}[/tex]

[tex]Rate = \$1.76/kg[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

of nails costs

Required

Determine the rate

The rate, in this case, will be calculated as:

This gives

Step-by-step explanation:

Answer:

$7,000

Step-by-step explanation:

Let [tex]x[/tex] equal the original price.

[tex]12,000+2000=2x[/tex]

Combine like terms.

[tex]14,000=2x[/tex]

Divide by the coefficient of [tex]x[/tex], which in this case is [tex]2.[/tex]

[tex]7,000=x[/tex]

If you like the variable on the left, rewrite:

[tex]x=7,000[/tex]

Answer:

Step-by-step explanation:

Perimeter of the rectangular flour = 2(Length+Width)

P = 2(L+W)... 1

If if the length is 2 less than three times the width, then L = 3W - 2.... 2

Substitute equation 2 into 1;

P =2(3W-2+W)

68 = 2(4W-2)

68 = 8W-4

8W = 68+4

8W = 72

W = 72/8

W = 9 feet

Since L = 3W-2

L = 3(9)-2

L = 27-2

L = 25

The length is 25ft and the width is 9ft

Answer:

1 and 8 , and 4 and 8 are congruent

The rest are supplementary

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Step 1: Write equation

-6(3 + x) + 2(3x + 5) = 0

Step 2: Solve for x

Distribute: -18 - 6x + 6x + 10 = 0

Combine like terms: -8 ≠ 0

∴ No solution

No answer

Step-by-step explanation:

-6(3+x) Multiply -6 by 3=-18. -18+-6x     2(3x+5) 6x+10

(-18+-6x) + (10+6x) = (-8 = 0).

Answer:

[tex]x=\frac{c-b}{a}[/tex]

Step-by-step explanation:

[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]

Answer:

11/1000

Step-by-step explanation:

and did not copy i swear

Answer:

11/1000 or 10/500

Step-by-step explanation: