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lyudmila [28]
3 years ago
12

You have one type of nut that sells for $6.50/lb and another type of nut that sells for $8.60/1b. You

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

You buy 10.5 pounds of the $6.50/lb nuts and 4.2 pounds of the $8.60/lb nuts.

Step-by-step explanation:

Let x be the number of pounds of the cheaper nut.

6.5x + 8.6(14.7-x) = 7.1*14.7

6.5x + 126.42 - 8.6x = 104.37

2.1x = 22.05

x = 10.5

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If there are a total of 25 questions, and I scored 56% on my test, how many answers did I get right, and how many answers did I
Ipatiy [6.2K]

Answer:

14 correct and 11 wrong

Step-by-step explanation:

If you got a 56% , we need to change this to decimal form 56% = .56

This is the percent you got right

.56* 25 = 14

You got 14 questions right

To determine the number of questions you got wrong, take the total number of questions minus the number you got right.

25-14 =11

You got 11 wrong

8 0
3 years ago
What is the domain of the function graphed below?
I am Lyosha [343]

Answer:

x < 7

Step-by-step explanation:

the domain is the number range or interval of x the function is defined for to generate a y-value.

the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.

x=-1 is not a problem, because while for the left part of the function it is not included, but for the right part it is.

so, it is fully defined for all x < 7.

4 0
3 years ago
How to solve this?<br>\int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x​
ivanzaharov [21]

\Large \mathbb{SOLUTION:}

\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes}  \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}

5 0
3 years ago
Monique has 2 less than half as many pairs of shoes as Dalia . Monique has four pairs of shoes. Which equation can be used to fi
viktelen [127]

Answer:

4m +2m = D

Step-by-step explanation:

i think i havent done this in a long time but idk

ik that dalia has 6 shoes

4 0
3 years ago
In circle O, ST is a diameter.
Andreas93 [3]

The value of x must be 25.0. The correct option is the second option-  25.0

<h3>Solving Linear equations </h3>

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

2x° + 8° + 3x° -14° + 3x° -14° = 180°

Collect like terms

2x° + 3x° + 3x° + 8° - 14° -14° = 180°

8x° -20° = 180°

8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option-  25.0

Learn more Solving linear equations here: brainly.com/question/1413277

#SPJ1

8 0
2 years ago
Read 2 more answers
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