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2 years ago

2x−8=20 steps to solving

Mathematics

2 answers:

inna [77]2 years ago

7 0

Answer:

x=14

Step-by-step explanation:

2x-8=20

2x-8+8= 20 + 8

2x=28

x=28/2

x=14

Art [367]2 years ago

4 0

Add 8 to both sides
2x = 28
Divide 2 to both sides
Solution: x = 14

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If CORRECT answerS then good review

SashulF [63]

Answer:

number 8 is D) 78.7 in.

and number 9 is C) 63°

hope these are the answers you are looking for

Step-by-step explanation:

4 0

2 years ago

The output is one-third of the input

sineoko [7]

Answer:

your answer should 1\3x

Step-by-step explanation:

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5 0

2 years ago

In a certain chemical reaction, a substance is converted into another substance at a rate proportional to the square of the amou

morpeh [17]

Answer:

$Q (t) = \frac{90}{7t +2 }$

$Q(2) = 5.63 \ g$

Step-by-step explanation:

Let Q(t) be the first substance at time t. We know that the rate of change is directly proportional to $Q^2$ .

Hence we can write it as:

$\frac{dQ}{dt} \propto Q^2\\\\\frac{dQ}{dt} = kQ^2$

Step 1: Integrating the function to form an equation:

$\frac{dQ}{dt} = kQ^2\\\\\frac{dQ}{Q^2} = k \ dt\\\\\int \frac{dQ}{Q^2} = \int k \ dt\\\\- \frac{1}{Q} = kt + C$ ----------------------------------------------- equation (1)

Step 2: Substitute the value Q(0) = 45 in equation 1 to find value of C.

$-\frac{1}{Q} = kt + C\\\\-\frac{1}{45} = k(0) + C\\\\-\frac{1}{45} = C\\\\\\-\frac{1}{Q} = kt - \frac{1}{45}\\$ ---------------------------------------------- equation (2)

Step 3: Substitute the value Q(1) = 10 in equation 2 to find the value of k.

$-\frac{1}{Q} = kt - \frac{1}{45}\\\\-\frac{1}{10} = k(1) - \frac{1}{45}\\\\-\frac{1}{10} - \frac{1}{45} = k \\\\\frac{2-9}{90} = k\\\\-\frac{7}{90} = k$

Step 4: Form the equation and simplify it.

$-\frac{1}{Q} = -\frac{7}{90} t - \frac{1}{45}\\ \\\frac{1}{Q} = \frac{7}{90}t + \frac{2}{90}\\\\\frac{1}{Q} = \frac{7t + 2}{90}\\\\\\\bullet \ cross - multiply \ the \ equation \\\\Q = \frac{90}{7t + 2}$

Step 5: To find the amount of substance after 2 hours, we substitute the value of t with 2.

$Q = \frac{90}{7t + 2}\\\\Q = \frac{90}{7(2) + 2}\\\\Q = \frac{90}{14+ 2}\\\\Q = \frac{90}{16}\\\\Q = 5.625 \approx 5.63$

The amount of substance after 2 hours is 5.63 grams.

5 0

3 years ago

Using the law of cosines, what is m<X 61, 79, 82, 91

joja [24]

Answer: 79°

Explanation:

1) Law of cosines:

In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:

c² = a² + b² - 2 a×b×cos (C)

2) In the triangle of the figure you have

c = 9
C = X
a = 6
b = 8
⇒ 9² = 6² + 8² - 2(6)(8) cos(X)
⇒ 81 = 36 + 64 - 96cos(X)
⇒ 96cos(X) = 36 + 64 - 81 = 19
⇒ cos(X) = 19 / 96
⇒ X = arccos(19/26) = 78.6° ≈ 79°

5 0

2 years ago

How do I create a histogram for the data?

Andrews [41]

Answer:

Group by buckets and use that information to make your histogram.

Step-by-step explanation:

When you make a histogram you need to group elements into buckets, and out of those buckets make your histograms. You could for example take the mean or the median of groups and out of that information make the histogram. That is your decision.

For example that you have

JM 85

JM 73

so the mean between 85 and 73 is 79 , so in your histogram the height of JM would be 79.

To summarize, you group by buckets and use that information to make your histogram.

4 0

3 years ago