Simplify 7 1/3t−(10 2/3t−6) pls

Answers

Answer 1

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.


Related Questions

Solve the proportion
x/10=9/5

Answers

Answer:

X = 10*9/5

= 2*9

= 18

Answer = 18

Answer:

[tex]x=18[/tex]

Step-by-step explanation:

First way (equivalent fractions):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]\frac{x}{10}=\frac{18}{10}[/tex]

[tex]x=18[/tex]

Second way (cross multiplication):

[tex]\frac{x}{10}=\frac{9}{5}[/tex]

[tex]5x=90[/tex]

[tex]x=18[/tex]

8) The height of a stack of CD cases is Proportional to the number of CDs in the stack. A stack of 6 CDs is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CDs?


b) Write an equation that relates the height (y) of a stack of CDs and the number of CD cases(x) in the stack.

please help I will mark your answer as brainliest

Answers

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

What force must be applied to a truck of mass 300kg for it to accelerate at 5m/s2

Answers

Answer:

mass=300kg

acceleration=5m/S2

force=?

Now,

force= m×A

=300kg×5

=1500 Newton answers

Step-by-step explanation:

hop this may help you

Write the expanded form of the expression.

3(4x - 6) =

Answers

Answer:

12x - 18

Step-by-step explanation:

3 x 4x = 12x

3 x -6 = -18 (Negative and positive make a negative.)

12x - 18

Please help ASAP. Trigonometry
Write TWO different equations that you could use to solve for x. You don't need to solve.

Answers

Answer:

  cos(52°) = 18/x

  x = 18·sec(52°)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

In this geometry, that means ...

  cos(52°) = 18/x

You can use the relation sec(x) = 1/cos(x) to rewrite this as ...

  x = 18·sec(52°)

_____

You can also use the complementary angle and the complementary trig function.

  sin(90° -52°) = 18/x

Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?​

Answers

10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)

Multiply the original price by 90%

65.00 x 0.90 = 58.50

He will pay $58.50

If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.

Answers

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

Answer:

The roots are 1 and 3.

k = 3.

Step- by-step explanation:

We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and  α β = c/a.

The roots are written as  α and α+2, then:

α + α + 2 = -(-4)

2α + 2 = 4

α + 1 = 2

α = 1

also

α (α + 2) = k

Substituting for α:

1(1 + 2) = k

k = 3.

The roots are 1 and 1 + 2 = 3.

Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

a. How much is the down payment

b. What is the total amount of the monthly payments?

c. What is the total cost of the plan?

d. What is the finance charge?

Answers

Cost Price=$1455
Down Payment=15% of $1455

a.Down Payment=(15/100)*1444=$218.25

b.Total amount of the monthly payment=$80.78*18=$1454.04

c.Total cost of the plan=$1454.04+$218.25=$1672.29

d.Finance charge=$1672.29-$1455=$217.29

The down payment will be $218.25, the total amount of the monthly payments is $1454.04.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Shania bought a $1,455 drum set on an installment plan.

The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

Down Payment = (15/100)x1444

= $218.25

The total amount of the monthly payment = $80.78x18

= $1454.04

Total cost of the plan = $1454.04 + $218.25

= $1672.29

Finance charge = $1672.29 - $1455

= $217.29

Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.

Learn more about the percentage here:

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(03.02 MC)
The vertices of AGHI are G (2, 4), H (4,8), and I (8,4). The vertices of AJKL are ) (1.), K (2, 3), and L (4,1). Which conclusion is true about the triangles?

whats the answer

Answers

Answer:

The coordinates of J are missing.  Plus, I don't see options for the conclusions.  I made an imaginary point J, which you could correct to form the proper triangle.

Step-by-step explanation:

See the attachment.  Plot all the vertices, including a corrected point J and draw the resulting triangle.  It might be that AJKL is a slightly smaller, shifted version of AGHI.  Enter the correct coordinates and then compare.

proportion margin of error equation when proportion is negative

Answers

Step-by-step explanation:

1.Find the sample size, n, and the sample proportion. The sample proportion ρ is the number in the sample with the characteristic of interest, divided by n.

2. Multiply the sample proportion by 1 - ρ.

3. Divide the result by n.

4. Take the square root of the calculated value.  You now have the standard error

15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332

Answers

Answer:

b)252 is the answer

Step-by-step explanation:

x\42=6

x=6*42

x=252

please answer, click on file, thank you ​

Answers

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45


Solve the system of equations 4x – 5y = –6 and -6x + 7y = 12 by
combining the equations.

Answers

Answer:

x=-9, y=-6. (-9, -6).

Step-by-step explanation:

4x-5y=-6

-6x+7y=12

----------------

6(4x-5y)=6(-6)

4(-6x+7y)=4(12)

-----------------------

24x-30y=-36

-24x+28y=48

-----------------------

-2y=12

y=12/-2

y=-6

4x-5(-6)=-6

4x+30=-6

4x=-6-30

4x=-36

x=-36/4

x=-9

Write the equation of the line with a slope of 3 and passes through the point (0,5).
Answer can be in either slope-intercept
form or point-slope
form

Answers

Answer:

y=3x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-5=3(x-0)

y-5=3(x)

y-5=3x

y=3x+5

Note that the slope intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

solve 4/6 x 2/5(PLEASE HELP I'M FAILING MATH!!!!!!!!!!!!!!!!!!!!!!!!!!)

Answers

[tex] \frac{4}{6} \times \frac{2}{5} \\ = \frac{4 \times 2}{6 \times 5} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

use substitution method (y = 2x-10 (2y=x-8

Answers

Answer:

  (4, -2)

Step-by-step explanation:

Use the expression for y given by the first equation to substitute for y in the second equation.

  2(2x -10) = x -8 . . . substitute for y

  4x -20 = x -8 . . . . . eliminate parentheses

  3x = 12 . . . . . . . . add 20-x

  x = 4 . . . . . . . . .divide by 3

  y = 2(4) -10 = -2 . . . substitute for x in the first equation

The solution is (x, y) = (4, -2).

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

We've been given to find out the values of x & y from the two given linear equations by substitution method.

Here we have,

y = 2x - 10 - - - - - (1)

2y = x - 8 - - - - - (2)

As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,

[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]

[tex]:\implies\tt{4x - 20 = x - 8}[/tex]

[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]

[tex]:\implies\tt{3x = 12}[/tex]

[tex]:\implies\tt{x = \frac{12}{3} }[/tex]

[tex]:\implies\tt{x = 4}[/tex]

Placing x = 4 in equation (1) we get,

[tex]:\implies\tt{y = 2x - 10}[/tex]

[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]

[tex]:\implies\tt{y = 8 - 10}[/tex]

[tex]:\implies\tt{y = - 2}[/tex]

The solution of the given system for linear equation is (x,y) = (4,-2)

please help ASAP! A circular plate has a radius of 13 centimeters.

What is the area of the plate?

Use 3.14 for π.

Answers

Answer:

area = PI x r^2

area = 3.14 x 13^2

area = 3.14 x 169

area = 530.66

Step-by-step explanation:

Plz Mark as brainliest hope this helps

Can someone plz help me? :(

Answers

the answer to your question is B.) 12x

Which inequality is graphed on the number line?

Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6

Answers

Answer:

C

Step-by-step explanation:

If the line goes from 6 to 0 then that means it is decending and that T is LESS than 6

Use the table from a random survey about the preferred service for streaming movies. Out of 750 people, how many would you expect to prefer Company B?

Answers

Answer:

The correct answer option is 192

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

Number of people using service B = 32

Total number of people = 125

Number of people expected to prefer Company B =32/125 x 750  = 192

At the store one pack of pencils are on sale 4 for $1.25. Another pack has 8 pencils for $2.50 with 20% off. Which is the better deal?

Answers

Answer:

second pack

Step-by-step explanation:

1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31

2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.

I hope it wasn't too confusing

Rewrite this problem combining like terms!!
2 m − 3 m + 4

Answers

i believe the answer is 4-m! hopefully it’s right, sorry if it’s not!

Please help me , correct answer will get brainiest!

Answers

answer is probably just 4

4/1 rise over run

Which of the following statements is meaningless?
A.There was a 3% decrease in the price of sugar.
B.There was a 200% increase in the population of a town.
C.There was a 120% decrease in the amount of water in a dam. D.There was a 0% change in the temperature in the room after 1 hour.

Answers

Answer:

(C)

Step-by-step explanation:

If can't have a meaning as something can't decrease more than 100% of itself.

The statement that is meaningless is

There was a 120% decrease in the amount of water in a dam.

Option C is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A percentage increase can be of any number.

A percentage decrease can not be below 100%.

Now,

A.

There was a 3% decrease in the price of sugar.

This is possible.

B.

There was a 200% increase in the population of the town.

This is possible.

C.

There was a 120% decrease in the amount of water in a dam.

This is not possible.

The highest percentage decrease can be up to 100%.

D.

There was a 0% change in the temperature in the room after 1 hour.

This is possible.

Thus,

There was a 120% decrease in the amount of water in a dam is meaningless.

Learn more about percentages here:

https://brainly.com/question/11403063

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PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is
10 meters high, how long does the wire connecting the anchor to the pole must be?
(Round answer to the 1st decimal place.)

Answers

Answer:

26.7 m

Step-by-step explanation:

The 22 degree angle is opposite to the 10 m side of the right triangle.

We need to find the length x of the hypotenuse.

Use trigonometry:

sine = opposite/hypotenusesin 22° = 10/xx = 10 / sin 22° x = 26.7 m (rounded)

Answer:

PLEASE HELP!!!!! 100 points!!!

The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is

10 meters high, how long does the wire connecting the anchor to the pole must be?

(Round answer to the 1st decimal place.)

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

it’s the y=mx+b so it’ll be m= 1 over 5 basically m equals 1/5

Answer:

1/5 so the first option

Step-by-step explanation:

slope

(y2-y1)/(x2-x1)

I need helppp
It’s for math and I’m clueless

Answers

Answer:

14

Step-by-step explanation:

x=4 y=1

Substitute them into the equation 3x-4yy+6

3(4)-4(1)+6

12-4+6

BRAINLIEST FOR CORRECT ANSWER
Two friends rent an apartment together. They agree that one person will pay 3 times what the other person pays. If the rent is $850, then what equation could be used to determine how much each person pays?

Answers

Answer:

n+3n=$850  n is one person and 3n is the other represented by n

Step-by-step explanation:

Two friends rent an apartment, where one person pays *3 times* of what the other person pays.

This can be shown as, where x is equal to the pay of what the other person pays:
Again, one friend will pay 3 times what one person pays.

3x + x = 850

Which can be simplified to:

4x = 850

Where 850 is the total rent to be payed.

To find out how much one person pays, you can solve the equation for x.

4x = 850

x = $212.5

Which of the following is a nonlinear function

Answers

Answer:

Linear functions are equations where the greatest power of the variable (typically x) is 1;

They are graphed as straight lines;

So, any function that has the following format:

f(x) = ax + b;

Nonlinear functions would be any equation that has a variable to a power greater than 1;

This could be a quadratic equation or an exponential equation

please help!! (only correct answers and no links)

Four transformations of the function f(x) are given below.

For each transformation, drag the graph that shows the result of that transformation into the box under it.

Answers

Answer:

f(x) - 3 : the ones that move the graph down

f(x -3)  : the ones that move the graph to the RIGHT

Step-by-step explanation:

graph transformations:

f (x-3):

if the number is inside the "()" sign with the x -> you will have to move the graph sideways (left or right), but it has a little twist: if the number is negative (i.e: f(x)-3), you will move the graph to the right, and if it is positive, you will move it to the left.

f (x) -3:

if the number is outside the "()" -> you will have to move the graph up or down. there is no twist here: if its negative, it goes down, if its positive, it goes up.

hope i could help:)

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