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zubka84 [21]
4 years ago
10

10. The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of packs of do

g food
Number of Packs
of dog food Number of Ounces
of dog food
4 96
5 120
6 144
What is the constant of proportionality
Mathematics
1 answer:
Anna71 [15]4 years ago
6 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby  \begin{array}{llll} k=constant\ of\\ \qquad  variation \end{array}\\\\ -------------------------------

\bf \begin{array}{ccll} \stackrel{x}{packs}&\stackrel{y}{\stackrel{food}{oz}}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 4&96\\ 5&120\\ 6&144 \end{array}\impliedby \textit{we know that } \begin{cases} x=4\\ y=96 \end{cases} \\\\\\ 96=k4\implies \cfrac{96}{4}=k\implies 24=k

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aivan3 [116]

Answer:

a- 2/5 + 1/4=.65 mixture of red and blue paint

(2/5) / .65 X 1.625=1 gallon of red paint

(1/4) / .65 X 1.625=5/8 gllaons of blue paint, because

1 + 5/8=1 5/8 gallons of purple paint.

b-1/10 + 2/5 + 1/4=.75 mixture of white, red and blue paint

(1/10) / .75 X 3/8= 1/20 gallons of white paint

(2/5) / .75 X 3/8=1/5 gallons of red paint

(1/4) / .75 X 3/8=1/8 gallons of blue paint, because

1/20 + 1/5 + 1/8=3/8 gallons of lighter purple paint.

Step-by-step explanation:

6 0
3 years ago
The length of a rectangle is 4 more than half the width. Which equation could represent the area of the rectangle in terms of th
frosja888 [35]

Answer:

let length be x and breadth be y

by question

L=4×1/2×B

L = 2B

now

Area of rectangle=L×B

2B ×B

2B^2

Is it correct? ,I actually tried to solve it

3 0
3 years ago
Jocelyn expects her new software company to increase its sales next year 2 3/4 times its present value. Write this increase as a
igor_vitrenko [27]
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3 years ago
Read 2 more answers
A box of a dozen donuts has three lemon cream filled , five chocolate cream filled and 4 vanilla cream filled. If the doughnuts
pishuonlain [190]

Answer:

5/12

Step-by-step explanation:

There is a 5(total chocolate donuts) out of 12(total donuts) chance of it being a chocolate cream filled donut.

5 0
3 years ago
Which expression would be equivalent to: Which expression would be equivalent to: \frac{1+b}{2} - 3(a-1)
IrinaVladis [17]

Answer:

\frac{1+b}{2} - 3(a-1) = \frac{b- 6a+7}{2}

Step-by-step explanation:

Given

\frac{1+b}{2} - 3(a-1)

Required

An equivalent expression

\frac{1+b}{2} - 3(a-1)

Take LCM

\frac{1+b}{2} - 3(a-1) = \frac{1+b- 2*3(a-1)}{2}

\frac{1+b}{2} - 3(a-1) = \frac{1+b- 6(a-1)}{2}

Open bracket

\frac{1+b}{2} - 3(a-1) = \frac{1+b- 6a+6}{2}

Collect like terms

\frac{1+b}{2} - 3(a-1) = \frac{b- 6a+6+1}{2}

\frac{1+b}{2} - 3(a-1) = \frac{b- 6a+7}{2}

Hence, an equivalent expression is:

\frac{b- 6a+7}{2}

8 0
3 years ago
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