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Ilia_Sergeevich [38]
3 years ago
7

Trey's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Trey $4.80 per pound, and type B

coffee costs $5.85 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $603.45 . How many pounds of type A coffee were used?
Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Let x = the number of pounds of Type A coffee.

 

We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total pounds of coffee =  x + 3x

 

The total cost is:

(cost for Type A)(x) + (cost for Type B)(3x) = $603.45

$4.80x + $5.85(3x) = $603.45

$4.80x + $17.55x = $603.45

$22.35x = $603.45

x = 603.45/22.35 = 27 pounds


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Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip.,
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0.15x + x <(or equal to) 50
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7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28x%20-%207%29%28x%20-%205%29" id="TexFormula1" title="(x - 7)(x - 5)" alt="(x - 7)(x - 5)" a
Rufina [12.5K]

\huge\textsf{Hey there!}

\large\textsf{(x - 7) (x - 5)}

\large\text{DISTRIBUTE each of the numbers}

\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}

\large\textsf{x(x) =  \bf x}\bf ^2

\large\textsf{x(-5) = \bf -5x}

\large\textsf{-7(x) = \bf -7x}

\large\textsf{(-7)(-5) = \bf 35}

\mathsf{x^2 - 5x -7x + 35}

\large\text{COMBINE the LIKE TERMS}

\mathsf{x^2 -(5x - 7x) + 35}

\mathsf{-5x -7x = \bf -12x}

\mathsf{x^2 - 12x + 35}

\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark

\large\text{Good luck on  your assignment and enjoy your day!}

~\frak{Amphitirite1040:)}

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!!
lakkis [162]

Answer:

false i think? and true

Step-by-step explanation:


8 0
3 years ago
The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh
Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is<em> 300 times larger than the virus.</em>

We know that:

The diameter of the virus-cell is:

D_v = 3 \cdot 10^{-9} m

The diameter of the bacteria cell is:

D_b = 9 \cdot 10^{-7} m

So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>

But let's prove this with math, remember the property:

\frac{a^n}{a^m} = a^{n - m}

Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>

quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m}  = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

8 0
2 years ago
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