45 points 35 is less than half a number equals 14. what is the number?

Let N be the number we seek. Let's translate the words into math.

35 less than                           -35

half a number                       1/2 N

equals    14                               = 14

Now we put it together with a plus sign between the first two parts. No sign is needed between the second and third, as an equals sign is there.

-35 + 1/2 N = 14

We clear fractions at this point and multiply the whole equation by 2. We choose 2 because it's the lowest common denominator of 1, 2, and 1.

-70 + N = 28

N = 98               < add 70 to both sides.

Thus the mystery number is 98.  

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: