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Artyom0805 [142]
3 years ago
13

%7B3%7D%20" id="TexFormula1" title=" - \frac{4}{5} t + \frac{2}{5} = \frac{2}{3} " alt=" - \frac{4}{5} t + \frac{2}{5} = \frac{2}{3} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
algol [13]3 years ago
5 0

-  \frac{4}{5} t +  \frac{2}{5}  =  \frac{2}{3}

Multiply both sides by 15
- 12t + 6 = 10
Move constant to the right
- 12t = 10 - 6
Subtract the numbers
- 12t = 4
Divide both sides by - 12
t =  -  \frac{1}{3}
I hope that helped!!

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Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t
MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0
3 years ago
Solve: m + 2/3 = 1/2<br> A. 1 1/6<br> B. 1/6<br> C. -1<br> D-1/6
xxMikexx [17]

I think the answer is (D).

4 0
3 years ago
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Each bucket holds 325 gallons of water. If it takes 6 buckets to fill a tank, how much water does the tank hold?
Gemiola [76]

Answer:

1950

Step-by-step explanation:

if we do 325 gallons of water times 6 buckets of water we get 1,950 gallons of water  in a fraction  325/1950

hope this helps

8 0
2 years ago
Which of the following describes the image of a triangle after a dilation that has a scale factor of 5/6
Sergeeva-Olga [200]

Answer:

See example below.

Step-by-step explanation:

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The new side length is 10 slightly smaller than 12.

6 0
3 years ago
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Colt1911 [192]

The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,

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Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1

Learn more about Expression:

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6 0
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