Answer:
150 votes were casted
Step-by-step explanation:
So first, we know that Amy received 48 votes. Then Neil received 1/4 as many votes as Amy. So we can divide 48 by 4:
48/4=12
Neil got 12 votes. We also know that Neil and Amy's votes together is only 40% of the votes casted in total. So we can add their votes together and then find a fifth of the votes casted by dividing the 40% in half:
12+48=60
60/2=30
So now 30 votes are 20% of the total votes casted, now we just have to multiply by 5:
30*5=150
150 votes were casted
The transformation which would be a horizontal reflection and a dilation of scale factor ½ of the L shape is as in the attached image.
<h3>What is horizontal reflection and dilation?</h3>
The term horizontal reflection with respect to transformation in mathematical context simple means that the shape is reflected over the vertical axis(y-axis as mirror). The dilation of a scale factor of ½ simply means that the shape reduces to half it's original size.
Hence, it follows that the attached image represents the transformation.
Read more on transformation;
brainly.com/question/4289712
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Answer:
b=60
Step-by-step explanation:
All you have to do in this equation is multiply both sides by 20 as we want to have the variable b on one side by itself. Doing this we get 60=b.
Answer:
A = 5 ounces
B = 1 ounces
C = 4 ounces
Step-by-step explanation:
The 3 foods contain exactly 1800 calories but food A is 100 calories, food B is 500 calories and food C is 200 calories. Thus;
100A + 500B + 200C = 1800 - - - (eq 1)
The 3 meals allows exactly 75 grams of protein while A is 5 grams, B is 6 grams, C is 11 grams.
Thus;
5A + 6B + 11C = 75 - - - (eq 2)
The 3 meals allows exactly 5650 milligrams of vitamin C while A is 400 mg, B is 2050 mg and food C is 400 mg. Thus;
400A + 2050B + 400C = 5650 - -(eq 3)
Solving the 3 equations simultaneously online, we have;
A = 5 ounces
B = 1 ounces
C = 4 ounces