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LUCKY_DIMON [66]
3 years ago
7

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.

Mathematics
2 answers:
qaws [65]3 years ago
4 0
7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5 <==
liq [111]3 years ago
4 0

the correct answer is x = - 4 2/5

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A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?​
Vladimir [108]

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus (v), in kiometers per hour, is determined by following kinematic expression:

v = \frac{s}{t} (1)

Where:

s - Travelled distance, in kilometers.

t - Time, in hours.

If we know that s = 2.45\,km and t = 0.033\,h, then the speed of the bus is:

v = \frac{s}{t}

v = 74.242\,\frac{km}{h}

The speed of the bus is 74.242 kilometers per hour.

7 0
3 years ago
12 whites 4 blacks 3 blue 1 red. Find each experimental probability as a fraction? <br> 1.)p(white)
Dafna1 [17]
Experimental probability is if an experiment was actually run. If those values are the result of an experiment, then the probability is desired value (white) over total possibilities.

\frac{12}{20} =  \frac{3}{5} or 0.6
5 0
3 years ago
Taylor is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $15 as s
Oduvanchick [21]

part A:

company a

30m+15

m= matress

company b

28m+21

m=matresses sold

part B:

company a

30(6)+15

195$

company b

28(6)+21

189$

company B charges less

part C:

company a

30(3)+15

105$

company b

28(3)+21

105$

there is no change at all so you do not save anything.


3 0
3 years ago
How would I turn 0.46 into a fraction
Pepsi [2]
<span>Step 1: 0.46 = 46⁄100</span> 
<span>Step 2: Simplify 46⁄100 = 23⁄50</span><span>  hope this helped u</span>
6 0
3 years ago
Read 2 more answers
Arm Span(x) Height(y)
natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.  

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in  should have a height of about $\large \boxed{\textbf{66 in}}$}

(ii) Arm span of 74 in tall person

\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}

6 0
3 years ago
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