{From Unit 1. Lesson 13.) 7. Kiran's family is having people over to watch a football game. They plan to serve
sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3
ounces of pretzels per person. Including Kiran's family, there will be 10 people at the
gathering
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels
contains 16 ounces and costs $2.99. Let n represent number of people watching the
football game, s represent the ounces of sparkling water, p represent the ounces of
pretzels, and b represent Kiran's budget in dollars. Which equation best represents
Kiran's budget?
A 12 + 3n-

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4