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Reil [10]
3 years ago
9

A recipe says to use 4 cups of flour to make 54 cookies. What is the constant of proportionality that relates the number of cook

ies made, y, to the number of cups of flour used, x?
Mathematics
2 answers:
lara [203]3 years ago
7 0
Y=4x+54(y) is the answer
Anna [14]3 years ago
4 0
The number of cookies made is 13.5 per cup of flour so the answer is (1, 13.5)
You might be interested in
What is the center and radius of -10x = -121 - y2 - x2 -22y
OlgaM077 [116]

We need to find the center and the radius of

-10x\: =\: -121\: -\: y^2\: -\: x^2\: -22y

The general circle equation is the following

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center and

r is the radius

1. rearrange the equation

(x^2-10x)+(y^2+22y+121)=0

2. Add 25 on both sides

(x^2-10x+25)+(y^2+22y+121)=25

3. Factor

(x-5)^2+(y+11)^2=5^2

Now we have an equation that is very similar to the circle equation, so let's compare them

Center -> (h,k) = (5,-11)

radius -> r = 5

8 0
1 year ago
What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?
Andrej [43]

Answer:

y = 9

Step-by-step explanation:

So if x = 3, we can sub that into the equation.

This gives us:

6.4 (* 3) + 2.8y = 44.4

so:

19.2 + 2.8y = 44.4

25.2 = 2.8y

so

y = 9

5 0
4 years ago
Read 2 more answers
Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
Solve y over negative 2 5 = 13.
devlian [24]
Y/-2 + 5 = 13
y/-2 = 13 - 5 = 8
y = -2(8) = -16
y = -16
8 0
3 years ago
Read 2 more answers
A little help? What does Y equal? ( Giving Branliest )
elena-14-01-66 [18.8K]

Answer:

-4/3 = y

Step-by-step explanation:

-1/2 = 3/8y

Multiply each side by 8/3 to isolate y

-1/2 * 8/3 = 3/8y * 8/3y

-8/6 =y

-4/3 = y

7 0
3 years ago
Read 2 more answers
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