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Firdavs [7]
1 year ago
11

Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill for

30 minutes longer than he does freehand exercises.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand exercises (y) and the number of minutes he runs on the treadmill (x). (5 points)

Part B: How much time does Jacob spend doing freehand exercises? Show your work. (3 points)

Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises? Explain your reasoning. (2 points)
Mathematics
1 answer:
sweet [91]1 year ago
3 0

The solution to the questions a,b, and c are give below as

a)

x + y = 60

x = y + 30

b and c)

Jacob's workout consists of 45 minutes spent running on the treadmill and 15 minutes spent doing free-hand exercises.

This is further explained below.

<h3>What is the pair of linear equations?</h3>

Generally,  Jacob's workout consists of 45 minutes spent running on the treadmill and 15 minutes spent doing free-hand exercises. Equation

An expression that is used to demonstrate the connection between two or more numbers and variables is called an equation.

In conclusion, Let's say that x stands for the total number of minutes. Jacob works out by running on a treadmill, and the number y denotes the amount of time he spends on free-hand exercises.

Because he invests an hour and a half, therefore:

a)

x + y = 60 (1)

Also:

x = y + 30 (2)

B and C)

Based on equations 1 and 2, we have:

x = 45, y = 15

Jacob's workout consists of 45 minutes spent running on the treadmill and 15 minutes spent doing free-hand exercises.

Read more about  linear equations

brainly.com/question/11897796

#SPJ1

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Is the simplified form of 2-3 + 3.3 rational?<br> Yes<br> No
N76 [4]

Answer:

YES IT IS

Step-by-step explanation:

2-3 + 3.3

= -1 + 3.3

= -4.3

We learn that:

Rational number: rational number is the number that can be written as a/b (a and b would be intergers and b is not equal to 0). Rational number would be most of numbers we use in out life, except Square root and Pi number.

In this case, -4.3 can be write as -43/10

So YES it would be a rational number

Hope this helped :3

6 0
3 years ago
Plz help if possible
mestny [16]
The answer is (1,3).....
4 0
3 years ago
Read 2 more answers
What are the solutions of 12 - x2 = 0?
tester [92]

Answer:

±2 sqrt(3) =x

Step-by-step explanation:

12 - x^2 = 0

Add x^2 to each side

12 - x^2 + x^2 = x^2

12 = x^2

Take the square root of each side

±sqrt(12) = sqrt(x^2)

±sqrt(4*3) = sqrt(x^2)

±sqrt(4) sqrt(3) = x

±2 sqrt(3) =x

3 0
3 years ago
Read 2 more answers
Convert: 76 ounces = _____ pounds _____ ounces
icang [17]

Answer:

4 pounds 12 ounces

Step-by-step explanation:

there are 16 ounces in 1 pound so 76/16 = 4.75 and .75 is equal to 12 ounces.

7 0
2 years ago
A sample ofn = 25 scores has a mean of M = 83 and a standard deviation ofs = 15.
givi [52]

Answer:

a) The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"

b) SE=\frac{15}{\sqrt{25}}=3

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable who represents the scores. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =83,\sigma =15)

We take a sample of n=25 nails.  

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"

Part b

The standard error is given by:

SE=\frac{\sigma}{\sqrt{n}}

And replacing we got:

SE=\frac{15}{\sqrt{25}}=3

3 0
3 years ago
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