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vichka [17]
3 years ago
9

Each week Charlene uses 3/4 of a bag of cat food to feed her cats. She has 112 bags of cat food in stock. How long will her stoc

k last?
Mathematics
1 answer:
inessss [21]3 years ago
4 0

The stock of cat food will last for 149 weeks.

Step-by-step explanation:

Given,

Bags of cat food in stock = 112

Bags used each week = \frac{3}{4}\ of\ one\ bag

Let,

x be the number of weeks.

Therefore,

\frac{3}{4}x=112

Multiplying both sides by 4/3

\frac{4}{3}*\frac{3}{4}x=112*\frac{4}{3}\\x=\frac{448}{3}\\x=149.33

Rounding off to nearest whole number;

x=149

The stock of cat food will last for 149 weeks.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/116167
  • brainly.com/question/11705002

#LearnwithBrainly

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5 meter as kilometers
Jobisdone [24]
1 m ------------- 0,001 K
5 m -------------- x

x = 5 . 0,001

x = 0,005 kilometers

hope this helps!.


4 0
3 years ago
Partitioning- finding the endpoint
ElenaW [278]

Values of x and y will be 12 and 5 respectively.

It's given in the question,

  • Three points Q, R and S are collinear.
  • Coordinates of Q → (2, 0)
  • Coordinates of R → (8, 3)
  • Coordinates of S → (x, y)
  • QR : RS = 3 : 2

Since, expression for the coordinates of a point (h, k) which divides the segment joining points (x_1,y_1) and (x_2,y_2) in the ratio of m : n is given by,

h = \frac{mx_2+nx_1}{m+n}

k = \frac{my_2+my_1}{m+n}

Since, R is a point on segment QS dividing in the ratio of 3 : 2, coordinates of R will be,

8=\frac{3x+2\times 2}{3+2}

8=\frac{3x+4}{5}

3x+4=40

3x=36

x=12

Similarly, 3=\frac{3y+2\times 0}{3+2}

3=\frac{3y}{5}

3y=15

y=5

       Therefore, values of x and y will be 12 and 5 respectively.

Learn more,

brainly.com/question/8061114

5 0
3 years ago
Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b a
Ratling [72]

X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

x^2+16x-3x-48=(x+16)(x-3)

Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

ax^2+bx+c

Given information-

The equation given in the problem is,

x^2+13x-48

Compare the above equation with the standard form. We get,

a=1\\b=13\\c=-48

To find out the factor of above equation using X method, follow the steps.

  • Step 1) Multiply a and c and place ac at the top of X as shown in the image.

        ac=1\times(-48)\\ac=-48

  • Step 2) Place b at the bottom as shown in the image below.

       b=13

  • Step 3) Find two numbers that multiply the top number ac and to the bottom number b.

  • Step 4) Write the polynomial from the X box as,

         x^2+16x-3x-48=x(x+16)-3(x+16)

         x^2+16x-3x-48=(x+16)(x-3)

Hence the factor of the given polynomial is,

x^2+16x-3x-48=(x+16)(x-3)

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

8 0
3 years ago
Read 2 more answers
I need help withy these questions.
Alekssandra [29.7K]
The little square means 90° and a straight line means 180° so 180 minus 68° minus 90° is 22° which leaves,
1) 112° and since you can flip 68° exacly the same on both sides it is a vertical angle which means
3)68.
4) 90°
8 0
4 years ago
Give two points with integer coordinates that have a slope of 5/7 between them.
mel-nik [20]

Answer:

(2,3) and (7,10)

Step-by-step explanation:

Use the slope 5/7 to get to a new point by moving up 5 units and moving to the right 7 units.

4 0
4 years ago
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