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erastova [34]
3 years ago
13

A recipe calls for 3/5 cup of sugar for every 2 1/3 teaspoons of vanilla. What is the unit rate in cups per teaspoon?

Mathematics
1 answer:
seropon [69]3 years ago
5 0

the unit rate is simply the units/units, namely cups/teaspoons.

let's firstly convert the mixed fraction to improper fraction.


\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\textit{sugar cups}}{\textit{vanilla spoons}}\qquad \qquad \cfrac{~~\frac{3}{5}~~}{\frac{7}{3}}\implies \cfrac{3}{5}\cdot \cfrac{3}{7}\implies \cfrac{9}{35}\implies 9\div 35\quad \approx \quad 0.257

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25x = 125x + 3<br><br> x = −10<br> x = −9<br> x = −3<br> x = 3
ICE Princess25 [194]

Answer:

x=-9

Step-by-step explanation:

first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.

8 0
3 years ago
I need help with #8
NikAS [45]
I drew it out. Hope this helps.

7 0
3 years ago
Aldos coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Aldo $5.80 per pound, and type of
LuckyWell [14K]
Let A represent amount of Type A coffee pounds used. 
Let B represent amount of Type B coffee pounds used

A + B = 156 
B = 156 - A 
A = 156 - B

5.80A + 4.65B = 826.60 
580 (156 - B) + 4.65B - 826.60 = 0 
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0 
78.2 - 1.15B = 0 
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry. 
5 0
3 years ago
A phone company charges $0.45 for the first minute and $0.35 for each additional minute for a long distance call. Which numerica
Vinvika [58]

0.45+19(0.35)

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Answer: 62

Explanation: It's an equilateral triangle

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