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N76 [4]
4 years ago
13

In a survey, one out of five people named blue as their favorite color. Three out of ten named red. If 1,100 people were include

d in the survey, how many named blue or red as their favorite color
Mathematics
1 answer:
bagirrra123 [75]4 years ago
8 0
1/5 = x/1100                                                    

5x = 1100
x = 1100 ÷ 5
x = 220

So 220 people named blue as fav.

3/10 = x/1100

3x = 1100
x = 1100 ÷ 3
x = 366.6666.... = 367

So 367 people chose red

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Write nine and eighty-four hundredths in standard form.
Scrat [10]
The answer is: 9.84
4 0
4 years ago
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Gary buys a 3 1/2 pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of food each day. Which expression can
Valentin [98]
One expression that Gary can use,where y is the amount of food eaten in a year and x the amount of food eaten in a weeks is:
y=x*52

but we actually know that the cats eat one third of 3 1/2 pounds, that is:

3\frac{1}{2} * \frac{11}{2} = \frac{7*1}{2*2}= \frac{7}{4}
 
So we can substitute this:
y=\frac{7}{4}*52

which is y=7*13=91

So we actually know that the cats eat 91 pounds of food a year!
3 0
4 years ago
Ed is planning daily walking workouts on the same distance of 12 km in the morning and in the evening. Usually he is walking at
dezoksy [38]

Answer:

5 km/h

Step-by-step explanation:

Let x km/h be Ed's rate in the evening, then x+1 km/h is his rate in the morning. It takes him

  • \dfrac{12}{x+1} hours in the morning to pass 12 km;
  • \dfrac{12}{x} hours in the evening to pass 12 km.

In total, it takes him 5 hours 24 minutes (5\dfrac{24}{60}=5.4 hours), then

\dfrac{12}{x+1}+\dfrac{12}{x}=5.4.

Solve this equation:

\dfrac{12x+12(x+1)}{(x+1)x}=5.4,\\ \\12x+12x+12=5.4x^2+5.4x,\\ \\5.4x^2 -18.6x-12=0,\\ \\54x^2-186x-120=0,\\ \\9x^2 -31x-20=0,\\ \\D=(-31)^2-4\cdot 9\cdot (-20)=1,681=41^2,\\ \\x_{1,2}=\dfrac{-(-31)\pm\sqrt{41^2}}{2\cdot 9}=\dfrac{31\pm41}{18}=-\dfrac{5}{9},\ 4\ km/h.

Ed's rate cannot be negative, thus x=4 km/h. His morning rate is x+1=5 km/h.

3 0
4 years ago
Find the distance between the points (5/2,3) and (3/2,8)
AURORKA [14]

Answer:

d = \sqrt{26} ≈ 5.1 ( to 1 dec. place )

Step-by-step explanation:

to calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (\frac{5}{2}, 3) and (x₂, y₂ ) = (\frac{3}{2}, 8)

d =√ (\frac{3}{2} - \frac{5}{2})² - (8 - 3)²

  =\sqrt{1+25} = \sqrt{26} ≈ 5.1


7 0
3 years ago
four friends contributed the sum of money to a charitable organization in the ratio 1:3:5:7. if the largest amount contrebuted i
suter [353]

9514 1404 393

Answer:

  birr 80

Step-by-step explanation:

The total number of ratio units is 1+3+5+7 = 16. The largest amount is represented by 7 ratio units, so is 7/16 of the total. The total contributed is ...

  16/7 × (birr 35) = birr 80

3 0
3 years ago
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