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saul85 [17]
3 years ago
13

The pizza shop owner tells Mr. Lopez that 3 jumbo cookies can feed 10 students.

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

j(x) = [ (3/10) cookie/student ]x

Step-by-step explanation:

The "unit rate" here is  

3 jumbo cookies

------------------------- = (3/10) cookie/student

       10 students

Then the number of cookies needed to feed x students is

j(x) = [ (3/10) cookie/student ]x

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Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
Lubov Fominskaja [6]

Answer:

  yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

__

For the first parabola, the point of intersection is ...

  y^2 = 4(-y-1)

  y^2 +4y +4 = 0

  (y+2)^2 = 0

  y = -2 . . . . . . . . one solution only

  x = -(-2)-1 = 1

The point of intersection is (1, -2).

__

For the second parabola, the equation is the same, but with x and y interchanged:

  x^2 = 4(-x-1)

  (x +2)^2 = 0

  x = -2, y = 1 . . . . . one point of intersection only

___

If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0
3 years ago
Which is a better deal 12.4 ounces for $4.99 or 21 ounces for $6.49?
ella [17]

Answer:

<em>Getting 21 ounces for $6.49 is a better deal!</em>

Step-by-step explanation:

4.99 / 12.4 = 0.402419...

6.49 / 21 = 0.30904...

0.4 is larger than 0.30 therefore 0.30 is less and a better deal.

Have an amazing day! ^-^

4 0
3 years ago
If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel?
Misha Larkins [42]

Answer:  C is the correct answer Lines r and s and lines t and u must be parallel.

Step-by-step explanation: the step by step explanation is the the lines that answer C says are parallel

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.

6 0
3 years ago
Read 2 more answers
You rented a car on vacation to go sightseeing for a day. You had to pay $50 for the day and $.15 per mile, along with $35 for g
stellarik [79]

The number of miles for which the car has been driven if one paid $122.50 as in the task content is; 2.5 miles.

<h3>For how many miles was the car driven?</h3>

It follows from the task content that the total amount paid was; $122.50.

Hence, after subtraction the constant charges, for the day and for gas, the remainder is;

$122.50 - $50 - $35

= $37.50.

Ultimately, if the charge per mile is $15, then the number of miles driven is; $37.50/$15

= 2.5 miles.

Read more on cost per unit;

brainly.com/question/19493296

#SPJ1

3 0
2 years ago
This keeps on confusing me. Please explain it to me.
9966 [12]

Answer:

x=-10

Step-by-step explanation:

the picture is showing

1+1= -1 + -1 + -1 + -1 + -1 + -1 + -1 + -1 + -x

simplified its:

2= -8 + -x

I think that the answer is x=-10 cuz if u did -8 - -10 then the two negatives make a positive and it makes 2 but idk if the minus sign before the x means minus or negative so this might be the answer but dont blame me if im wrong. I warned you. If its right plz write that.

4 0
3 years ago
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