Which of the following fractions is equivalent to<br> 10/12?<br> 40/48<br> 20/30<br> 4/5<br> 12/14

Given: Q = 7m 3n, R = 11 - 2m, S = n 5, and T = -m - 3n 8. Simplify R - S T. M - 2n - 2 -3m - 4n 14 3m - 4n 14 -m 2n - 2.

ziro4ka [17]

To solve the algebraic expression, add or subtract the variables with same power of variable.

The result of the given problem after simplifying is,

$y=7m+n-6$

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

To solve the algebraic expression, add or subtract the variables with same power of variable.

Given information-

The given numbers are,

$Q=7m+3n\\R=11-2m\\S=n+5\\T=-3-3n$

All the four number given in the form of unknown number $m$ and $n$ .

The result, need to be find is,

$R-S+T+M$

Let the result of above expression is $y$ . Thus,

$y=R-S+T+M$

Put the values to solve it further,

$y=(7m+3n)-(11-2m)+(n+5)+(-m-3n)$

Solve it further by open the bracket as,

$y=7m+3n-11+2m+n+5-m-3n\\y=7m+2m-m+3n+n-3n-11+5\\y=7m+n-6$

Hence the result of the given problem after simplifying is,

$y=7m+n-6$

Learn more about the algebraic expression here;

brainly.com/question/2164351

3 0

2 years ago

(a) It takes the Earth 365 days to complete a full orbit around the sun. It takes Jupiter approximately 4,332 days, 14 h, and 9

kogti [31]

1 year = 365 days.

1 day = 24 hours.

1 hour = 60 minutes.

First convert the hours and minutes in Jupiter orbit to days:

14*60 = 840 +9 = 849 minutes.

849 / 60 = 14.15 hours.

14.15 / 24 = 0.59 days.

Jupiter's orbit is 4332.59 days.

Now divide that by 365 for the number of years:

4332.59 / 365 = 11.87 years.

5 0

3 years ago

Find the area of the sector.<br> 1350<br> 18 km

harina [27]

Answer:

21870 km^2

Step-by-step explanation:

Area of sector=1/2r^2(theta)

Where r=18 km and theta=135

Area of sector=1/2(18)^2(135)

=1/2(324)(135)

=1/2(43740)

=21870 km^2

7 0

3 years ago

Read 2 more answers

Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre

choli [55]

Answer:

$z=\frac{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717$

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.

Step-by-step explanation:

Data given and notation

n=115 represent the random sample taken

X=46 represent the number of people that have traded in their old car.

$\hat p=\frac{46}{115}=0.4$ estimated proportion of people that have traded in their old car

$p_o=0.48$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.9

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is less than 0.48.:

Null hypothesis: $p\geq 0.48$

Alternative hypothesis: $p < 0.48$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.1$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.

4 0

4 years ago

Please show me how to solve the problem

AlladinOne [14]

Answer:

(3x+1)

Step-by-step explanation:

So i start by the little 2 and then the 3 and then 19x +6

4 0

2 years ago

Which of the following fractions is equivalent to 10/12? 40/48 20/30 4/5 12/14