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Alex787 [66]
2 years ago
7

John is buying food for his cat, Fluffy. Fluffy LOVES a fancy wet food which costs $1.50 per day. Fluffy will also tolerate dry

food which is $0.75 per day. John wants to spend at most $9.00 on cat food each week
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of days that fluffy eats wet food in a week and y represents the number of days that fluffy eats dry food in a week.

Hence:

x + y = 7                    (1)

Also, John wants to spend at most $9.00 on cat food each week. Hence:

1.5x + 0.75y ≤ 9       (2)

The list of possible points after solving graphically are:

(0,7), (6,0), (0,12) and (5, 2). If x,y > 0, then the point that satisfies the inequality is:

(5, 2) i.e. 5 wet food and 2 dry food

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In a direct or linear relationship, as one variable increases, what happens to the other variable?
nadezda [96]

Answer:

In general direct variation suggests that two variables change in the same direction. as one variable increases the other also increases and as one decreases the other also decreases.

Step-by-step explanation:

i hope this helps.

8 0
2 years ago
Do the ratios 9/4 and 11/6 make a proportion please explain. Thank You!
svetoff [14.1K]
No they're not proportionate because 9 divided by 4 = 2.25 and 11 divided by 6 is 1.83 so they're not the same in value
3 0
2 years ago
WORTH 20 POINTS HELP
vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}

RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}

ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}

TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

QR = \frac{9 + 1}{2 + 3} = \frac{10}3

RS = \frac{5-9}{-4 - 2} = \frac{2}3

ST = \frac{5+5}{-4 + 7} = \frac{10}3

TQ = \frac{-5+1}{-7 + 1} = \frac{2}3

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

6 0
2 years ago
Roger has two golden retrievers, sadie and buddy, buddy weighs 14 pounds more than sadie, if their total wight is 136 pounds, ho
Vlad1618 [11]

Answer:

A) buddy  = sadie + 14

B) buddy + sadie = 136

A) buddy -sadie = 14

Adding equations A & B

2 * buddy = 150

buddy = 75 pounds

sadie = 61 pounds


Step-by-step explanation:


6 0
3 years ago
The area of a rectangular painting is 5/8 square yard. The width is 3/4 yard. What is the length of the painting?
vfiekz [6]

Answer:

The answer is

<h2>\frac{5}{6}  \:  \:  \:  \: yards \\</h2>

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length of the rectangle

length =  \frac{area}{width}  \\

From the question

area = 5/8 square yards

width = 3/4 yard

So we have

length =  \frac{5}{8}  \div  \frac{3}{4}  \\  =  \frac{5}{8}  \times  \frac{4}{3}  \\  =  \frac{5}{2}  \times  \frac{1}{3}

We have the final answer as

\frac{5}{6}  \:  \:  \:  \: yards \\

Hope this helps you

3 0
3 years ago
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