Jenny is planning an extended trip to Russia. The table below shows a list of cities which she would like to visit during her stay, along with the amount of money she anticipates needing to spend on travel, lodging, and similar expenses in each city. All costs are given in Russian rubles (RUB). City
Cost (RUB)
Izhevsk
4,721
Novosibirsk
4,870
Nizhny Novgorod
6,920
Moscow
5,485
Chelyabinsk
5,217
Saint Petersburg
5,960
Tolyatti
5,598
Yaroslavl
4,901

Even though Jenny wants to go to each of these cities, her budget is only RUB 33,000, so she recognizes that she must change her itinerary and choose not to visit some cities. Which of the following pairs of cities will not put Jenny back under budget if she drops them?
a.
Moscow and Chelyabinsk
b.
Izhevsk and Nizhny Novgorod
c.
Novosibirsk and Saint Petersburg
d.
Yaroslavl and Tolyatti

THE ANSWER IS D. YAROSLAVI AND TOLYATTI

EXPLANATION: the total of all cities is 43,672. If we subtract 4901 for Yaroslavi and 5598 for Tolyatti we have 33,173 (43,672 - 4901 - 5598 = 33,173). This would still be over Jenny's budget

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet

seven students earned $833 by shoveling snow. if they share the money equally, how much money will each student get

answer: each student earns $119

step-by-step explanation:

to find the answer you have to divide 833/7 which is 119

the linear relationship that represents a variation in direct proportion is the linear function that varies according to the numbers of its domain, for example the cost of producing x number of items can be represented in direct proportion by f (x) = mx + b, where m is the constant of proportionality, x the number of articles produced and b the fixed cost

answer is 270 degrees: -

to convert radians to degrees you multiply by 180/π

9π/ 6 * 180 / π

=   9 * 180 / 6

= 9 * 30

=   270 degrees   answer