Which of the following cannot be written as an equation? a. x increased by three
b. Seven more than m is 15
c. Three minus five is -2
d. Twelve is half a number

a. x increased by three

Step-by-step explanation:

An equation has to have an equal sign.

The word "is" usually means "equals", and an equal sign is used for it.

Look at the choices:

a. x increased by three    >   no word is; expression; x + 3

b. Seven more than m is 15      > equation; m + 7 = 15

c. Three minus five is -2     > equation; 3 - 5 = -2

d. Twelve is half a number     > equation; 12 = 1/2 × n

The first choice is an expression, not an equation.

the last three choices are equations.

a. x increased by three

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west