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vovangra [49]
1 year ago
13

Two​ trains, Train A and Train​ B, weigh a total of 526 tons. Train A is heavier than Train B. The difference of their weights i

s 466 tons. What is the weight of each​ train?
Mathematics
1 answer:
riadik2000 [5.3K]1 year ago
3 0

Answer:

Train A = 466

Train B = 60

Step-by-step explanation:

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Petersons bought 249,000 townhome. They made a down payment of $42000.00 and took mortgage for the rest. Over the course of 30 y
xenn [34]

Answer:

Answer in photo

6 0
2 years ago
Write a linear equation that contains the ordered pair shown in the table below:
Amiraneli [1.4K]

Answer:

y=2x-4

Step-by-step explanation:

Let the equation of line is y=mx+b, where m is the slope of the line.

It passes through (-5,-14),(-2,-8)\ and\ (1,-2).

(<em>Slope of the line</em> joining (x_1,y_1)\ and\ (x_2,y_2)=\frac{y_2-y_1}{x_2-x_1})

Hence slope of the given line

m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2

Equation of line is: y=2x+b

The line passes through (1,-2)

-2=2\times 1+b\\b=-2-2\\b=-4

Check if (-5,-14) is on the line y=2x-4

L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.

Hence line passes through (5,-14).

Check if (-2,-8) is on the line y=2x-4

L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.

Hence line passes through (-2,-8).

4 0
2 years ago
Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and
Luda [366]

Answer:

C. 45 and 141 seconds

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 93 seconds

Standard deviation = 16 seconds

99.7% of running times are approximately between:

By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean

3 stnadard deviations below the mean

93 - 3*16 = 45 seconds

3 standard deviations above the mean

93 + 3*16 = 141 seconds

The correct answer is:

C. 45 and 141 seconds

3 0
3 years ago
F(x)=9(x-8) find f^-1(x)
mina [271]

Answer:

f^{-1}(x) = \frac{1}{9} x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

\frac{y}{9} = x - 8 ( add 8 to both sides )

\frac{y}{9} + 8 = x

Change y back into terms of x with x = f^{-1}(x) , thus

f^{-1}(x) = \frac{1}{9} x + 8

8 0
3 years ago
8-37 better than or equal to 29
Zina [86]

The statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 -  27 is less than 29

<h3>What is an inequality?</h3>

An inequality can be defined as a relation which makes an unequal comparison between two numbers or mathematical expressions.

It is used most often to compare two numbers on the number line by their size

The information given be represented as;

8 - 37\geq 29

Now, let's find the difference from the left side

We have;

- 29\geq 29

From this, we can see that the statement is wrong as - 29 is neither greater than or equal to 29

The correct statement should be; 8 -  27 is less than 29

Thus, the statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 -  27 is less than 29

Learn more about inequalities here:

brainly.com/question/24372553

#SPJ1

5 0
2 years ago
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