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taurus [48]
3 years ago
13

Six more than five times a number is equal to the sum of three times the same number and 10. Identify the equation you would use

to find the number, then find the number.
Mathematics
1 answer:
mestny [16]3 years ago
3 0

Answer: the equation is 6+5x=3x+10.

Step-by-step explanation:

to find the number

add 5x+3x

then add 10+6

8x=16

divide by 2 each side.

x=2

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Simplify the expression\(\frac{2x^{-1}y}{x^3z}\) for \(x=2\), \(y=8\), and \(z=-1\).
adelina 88 [10]

2 <em>x</em> ⁻¹ <em>y</em> / (<em>x</em> ³ <em>z</em>) = 2 <em>y</em> / (<em>x</em> ⁴ <em>z</em>)

… = 2 × 8 / (2⁴ × (-1))

… = 16 / (-16)

… = -1

8 0
3 years ago
Read 2 more answers
Lusia ran 3 2/3 kilometers in 1/3 of an hour. If speed is distance over time, calculate lusia's speed.
Romashka [77]
In the question, they give you the formula for speed...

speed = distance / time

They also give you the distance and the time, so all we have to do is stick them into the equation...

speed =  3 2/3 Km / 1/3 hour
speed = 3 2/3 / 1/3

To divide the fractions, first we need to convert 3 2/3 into an improper fraction

3 2/3 = 11/3

now we multiply 11/3 x the reciprocal of the divisor 1/3.  The reciprocal just means flip the numerator and denominator

speed = 11/3 x 3/1
speed = 33/3
speed = 11 Km/hour
5 0
3 years ago
N+(-n) = 3+ 15<br><br> Solve
Len [333]

Answer:

no solutions


Step-by-step explanation:

n+(-n) = 3+ 15

n+-n = 0

0= 18

False

There are no solutions

7 0
3 years ago
A construction company is considering submitting bids for two contracts. The company estimates that it has a 20\%20%20, percent
Nostrana [21]

Where the variance is 0.32, the mean is 0.40, and there are provided sets of probabilities, the standard deviation will be 0.566.

<h3>What is standard deviation?</h3>

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a high standard deviation are spread out from the mean, whereas those with a low standard deviation are grouped together close to the mean.

Here,

mean=0.4

variance=(Xn-mean)².P(x)n

=(0-0.4)²*(0.64)+(1-0.4)²*(0.32)+(2-0.4)²*0.04

variance=0.32

Standard deviation=√(variance)

=√0.32

=0.566

The standard deviation will be 0.566 where variance in 0.32 and mean is 0.40 and given sets of probability.

To know more about standard deviation,

brainly.com/question/13905583

#SPJ4

7 0
1 year ago
A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
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