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Ratling [72]
2 years ago
7

Tony asks 8 people to name their favorite pet. Of the people he asks 2 out of 8 chose rabbit and the fraction of people who choo

se cat is equal to the fraction of the people choose dogs.
Mathematics
1 answer:
Mrac [35]2 years ago
3 0

Question

What fraction choose dogs?

Answer:

\frac {3}{8}

Step-by-step explanation:

When 2 choose rabbits then to get the number that choose other anomals apart from dogs is given by getting the difference between total people and those who choose dogs. This then is expressed as 8-2=6 choose either cat or dogs. These six, half of them choose choose cats and the remaining choose dogs. Therefore 6/2=3

For 3 out of 8, this fraction is equal to

\frac {3}{8}

Therefore, the fraction that choose dogs or cats is equal to

\frac {3}{8}

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Casey can buy 3 sandwiches and 5 cups of coffee for $26. Eric can buy 4
ioda

Answer:

Step-by-step explanation:

Let's identify what we are looking for in terms of variables.  Sandwiches are s and coffee is c.  Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c.   Those all put together on one bill comes to 26.  So Casey's equation for his purchases is 3s + 5c = 26.  Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23.  Eric's equation for his purchases then is 4s + 2c = 23.  In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's.  The coefficients on the s terms are 4 and 3.  4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out.  4[3s + 5c = 26] means that 12s + 20c = 104.  Multiplying the second  bolded equation   by -3:  -3[4s + 2c = 23] means that -12s - 6c = -69.  The s terms cancel because 12s - 12s = 0s.  We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for.  20c = 104 and -6c = -69.  Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35.  That means that c = 2.5 and a cup of coffee is $2.50.  There you go!

3 0
3 years ago
Line CD passes through points C (1,3) and D (4,-3). If the equation of the line is written in slope intercept form, y=my+b, what
Lina20 [59]

Answer:

b=5

Step-by-step explanation:

C(1,3) and point D(4,-3)

Since we want the equation in slope intercept form we must first calculate the slope (m):

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\m=\frac{-3-3}{4-1}\\ \\m=\frac{-6}{3} \\\\m=-2

By point slope formula and using point C (1,3) we have:y-y_{1}=m(x-x_{1})\\\\y=m(x-x_{1})+y_{1}\\\\y=-2(x-1)+3\\\\y=-2x+2+3\\\\y=-2x+5


So the slope is -2 and the y -intercept (b) is 5.

3 0
3 years ago
Read 2 more answers
A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
damaskus [11]

Answer:

107 concert tickets were bought

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Evaluate −6 − (−4). <br> A. −10 <br> B. 24 <br> C. −2 <br> D. 2
Papessa [141]

Answer:

The answer is -2

Step-by-step explanation:

-6 + 4 = -2

3 0
3 years ago
Would you rather prove a quadrilateral is a parallelogram by using slopes or lengths?
WITCHER [35]

Answer:

Lengths

Step-by-step explanation:

Its easier to show someone numbers and show them which ides they go on than to graph it especially for people who struggle with graphing.

8 0
3 years ago
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