MATHEMATICS COLLEGE

=Initial Knowledge Check
Solve for x.
- 10= -6+ 2x
Simplify your answer as much as possible.
x=

Answers

Answer 1

Answer:

Answer:

-2

Step-by-step explanation:

-10 = -6 + 2x

-10+6=2x

-4÷2x

-2=x

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Brandon uses the steps below to solve the equation 15 x + 6 = 14 x + 5 using algebra tiles.Step 1 Add 14 negative x-tiles to both sides.
Step 2 Add 5 negative unit tiles to both sides
Step 3 The solution is x = 1.

Which explains whether Brandon is correct?
Brandon is correct because he has the correct solution in step 3.
Brandon is correct because he forms zero pairs to isolate the variable by using the lowest coefficient each time.
Brandon is not correct because he should have performed step 2 before performing step 1.
Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.

Answers

The correct option is Option D: Brandon is not correct because he should add -6 on both sides to isolate the variable in step 2.

What is the linear equation?

The linear equation is an equation where the highest degree of the variable used in the equation is 1.

For example 2x+5=25

Given the equation is 15x +6= 14x+ 5

In order to the linear equation first, try to keep the constant and the variable part to one side by adding or subtracting the constant term.

Then divide the coefficient of the variable (if the coefficient is not equal to 1) on both sides.

Here the given equation is 15x +6= 14x+ 5

Step-1: adding -14x on both sides

⇒15x +6 -14x= 14x+ 5 -14x

⇒x+ 6= 5

Step-2: adding -6 on both side

⇒x+ 6-6 = 5-6

Step-3: solution will be -1

⇒x= -1

Therefore the correct option is Option D: Brandon is not correct because he should add -6 on both sides to isolate the variable in step 2.

Learn more about linear equation

here: brainly.com/question/13728326

#SPJ2

Answer:

Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.

Step-by-step explanation:

edge 2020

Solve for x hereee
Plsss fast !

Answers

$\sf{ x=6}$

Step-by-step explanation:

$4(x+4)+2x=52\n\n4x+16+2x=52\n\n6x+16=52\n\n6x=52-16\n\n6x=36\n\nx=(36)/(6)\n\n\bold x=6$

Verification:-

$4(x+4)+2x=52\n\n4(6+4)+2(6)=52\n\n4(10)+12=52\n\n40+12=52\n\n\tt 52=52$

Hence verified!!

A city received 2 inches of rain each day for 3 days. The meteorologist said that if the rain had been snow, each inch of rain would have been 10 inches of snow. How much snow would that city have received in the 3 days?

Answers

60 inches since there is 2 inches of snow for 3 days, so that equals 6 inches for 3 days and then you just have to multiply 6 by 10 and you get 60 inches of snow, or 5 feet

I think it would be 60 inches of snow

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest route?

Answers

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

$P=(1)/((5!)/((5-5)!))=(1)/(5*4*3*2*1)\n P=0.008333=0.8333\%$

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

Which procedure would you use to convert a fraction to a decimal?1
Convert to a decimal.
5
to a decimal?

Answers

Answer: Since 1 is a natural number, there is a decimal in every number in history. It is invisible, but that is only because we don't put decimals if it is not needed. But the decimal on the number always exists. Therefore, 1 in a decimal is 1.0. Same with 5. 5 is also written as 5.0.

Hope this helps!

The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 56 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are ?=28.29 and ?=33.493, respectively.
Let X be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is x??.
Use the central limit theorem (CLT) to determine the probability P that the mean taxable wages in James' sample of 56 counties will be less than $33 million. Report your answer to four decimal places.
P(x??<33)=
Use the CLT again to determine the probability that the mean taxable wages in James' sample of 56 counties will be greater than $30 million. Report your answer to four decimal places.
P(x??>30)=