t - 2(3 – 2t) = 2t + 9

Answers

Answer 1

Answer:

t=-1

Step-by-step explanation:

t - 2(3 - 2t) = 2t - 9

t - 6 + 4t = 2t - 9

5t - 6 = 2t - 9

5t - 2t = -9 + 6

3t = -3

t= -1


Related Questions

f
is inversely proportional to

g
.
When
f
=
15
,
g
=
144

Work out
g
when
f
=
90

Answers

Answer:

  4

Step-by-step explanation:

The proportional relationship can be described by the equation ...

  [tex]f=\dfrac{k}{\sqrt{g}}[/tex]

We can fill in the given values to find k:

  15 = k/√144 = k/12

  15·12 = k = 180 . . . . . . multiply by 12

Then for f = 90, we have ...

  90 = 180/√g

  1/2 = 1/√g . . . divide by 180; next multiply by 2√g and square both sides

  g == 4 . . . . the value of g when f=90

Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23

Answers

Answer:

(1)8 + (5)3=23 or if your in middle/elm use this 8x1 + 5x3=23       Step-by-step explanation:  if you do 8x1=8 5x3=15  

8+15=23

Find the value of x.

Answers

Answer:

x= 13 degrees

Step-by-step explanation:

This is a 90 degree angle. We can create an equation to find x

68+x+9= 90

77+x= 90

-77     -77

x= 13 degrees

Hope this helps!

Answer:

x = 13

Step-by-step explanation:

The given angles are,

→ 68°

→ (x + 9)°

Now we have to,

→ Find the required value of x.

Forming the equation,

→ 68° + (x + 9)° = 90°

Then the value of x will be,

→ 68° + (x + 9)° = 90°

→ 68° + x + 9° = 90°

→ (68 + 9)° + x = 90°

→ 77° + x = 90°

→ x = 90° - 77°

→ [ x = 13 ]

Hence, the value of x is 13.

The graph below represents the relationship between the number of days a book is overdue and the library fine charged. A graph titled Library Fines. The horizontal axis shows days overdue and the vertical axis shows the fine (dollars). The line shows an increase to $10 at 19 days overdue, then constant. Christen returned an overdue book to the library. Her fine was the same as it would have been if she returned the book the previous day. Which of the answer choices below could be the number of days Christen’s book is overdue? 10 14 18 22

Answers

The number of days Christen's book is overdue could be 22 according to options given.

The graph which represents the relationship between the number of days a book is overdue and the library fine charged is attached below :

According to the graph, a constant relationship exists between the number of days a book is overdue and the library fine charged when the Number of days book is  overdue is about 19 days and above such that the library fine charged stays the same at $10.

Since we are told that Christen's fine for returning the book is the same as the fine she would have paid if book was returned yesterday, then, the number of days Christen's book is overdue could be 20 days and above.

The only value above 20 from the options given is 22.

Hence, 22 is the valid answer.

Answer The correct answer is d.) 22

Step-by-step explanation:  

I got the answer right on the Edge quiz. Trust me!

What point represents the y–intercept for the equation 6x + 3y = –12?

Answers

Answer:

  (0, -4)

Step-by-step explanation:

The y-intercept is the point on the line where it crosses the y-axis. That point has x-coordinate equal to zero. To find the y-intercept, set x=0 in the equation and solve for y:

  3y = -12

  y = -12/3 = -4

The y-intercept is -4. The point coordinates are (0, -4).

__

Additional comment

You may notice that in the standard form equation, ...

  ax +by = c

The x-intercept is c/a, and the y-intercept is c/b.

Please answer if you know how to do it please, thank you

Answers

9514 1404 393

Answer:

  9.  vertex: (1, -2)

  10.  dashed line, shaded inside, opens down, (neither point is a solution)

Step-by-step explanation:

The graph is attached. Either the graph or the equation will tell you the vertex is (1, -2). Since the leading coefficient is negative, the parabola opens downward. Since the comparison is "y < ( )", shading is below the boundary line, so shading is inside the parabola.

The point (0, 0) is outside the parabola, so is not a solution. The point (2, -3) is on the (dashed) boundary line, so is not a solution. (The boundary line is dashed because points on it are not part of the solution set.)

__

The inequality is written in vertex form:

  y < a(x -h)^2 +k . . . . . . . . has vertex (h, k)

The value of h in your inequality is 1, and the value of k is -2, so the vertex is (1, -2) as read from the inequality itself. (No graphing needed.)

find out 4 equivalent of each of the fraction.
4/7,__,__,__,__.

Answers

Answer:

4/7 x 2 = 8/14

4/7 x 3 = 12/21

4/7 x 4 = 15/28

4/7 x 5 = 20/35

Step-by-step explanation:

4/7 x 2 = 8/14

4/7 x 3 = 12/21

4/7 x 4 = 15/28

4/7 x 5 = 20/35

Have an amazing day!!!

PLEASE RATE!!

Hello.

Please remember that equivalent means equal.

So we need to find 4 fractions that are equal to

[tex]\displaystyle\frac{4}{7}[/tex]

There are infinitely many fractions equal to the given fraction; we need just 4 of them.

First, let's multiply the numerator (4) and the denominator (7) times 2:

[tex]\displaystyle\frac{8}{14}[/tex]

Now, let's multiply the numerator and denominator of this fraction by 2:

[tex]\displaystyle\frac{16}{28}[/tex]

Multiply by 2 once more:

[tex]\displaystyle\frac{32}{56}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

26490 rounded to the nearest ten thousand

Answers

Answer:

30,000

Step-by-step explanation:

26,490 becomes 30,000

30,000

2 is in the ten thousands place.
the next number to the right is over 6 so the 2 will round up to 3 and any number after that turns into 0

Please Help!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this composite figure? Show you work.

Answers

Answer:

29.92 m²

Step-by-step explanation:

Area of the rectangle = 5.5 * 4 = 22 m²

Radius of the circle = 5.5 m

Area of the sector of the circle = π*(5.5)² * 30/360 = 7.92 m²

Total area = 22 + 7.92 = 29.92 m²

Find the measure of angle

Answers

Answer:

42º

Step-by-step explanation:

The angle on a straight line is always equal to 180º.

So here we know that angles AEB, BEC and CED add up to 180º. Now we simply have to rearrange to find angles AEB, seeing as we know all the others.

180 - (BEC + CED) = AEB

180 - (48º + 90º)

= 180 - 138º

= 42º

Select the correct answer.
Which operation should you perform after (9+6) in the expression
122 + 10 2 - (9+6) + 5?
OA. 122
OB. 122 +10
Ос. .
10 x 2
OD
15-5

Answers

Answer:

12^2

Step-by-step explanation:

the pemas first you do the "(" and then what ever 12^2 is. i got the same question on mine and i got it correct. if this is correct write brainiest.

what property is 4(2x -3) from math

Answers

Answer:

Distributive

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\underline{ Solution \:1}}}[/tex]

Yes, ΔEDF and ΔBCA are similar

If we look at the both the triangles then the

[tex]\sf{ {\angle} E = {\angle}B }[/tex][tex]\sf{ {\angle} F = {\angle}A }[/tex]

From above, we can conclude that :-

Both the triangles are similar by AA Similarity

Hence, Option A is correct.

[tex]\bold{\huge{\underline{ Solution \:2}}}[/tex]

Let consider the given triangle be ABC and the line that divides the triangle consider it as DE

Here, DE || BC

So,

[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{AE}{AC}}}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]

Therefore,

ΔABC similar to ΔADE by SSS congruence similarity criterion.

Now,

We have to find the value of x

In ΔABC, By using BPT theorem

If the line is drawn parallel to one side of the triangle which intersect the other two sides at specific points then the other two sides are in proportion .

That is,

[tex]\sf{\dfrac{ AD }{ AB }}{\sf{ = }}{\sf{\dfrac{DE}{BC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 6 }{ 6 + 4 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]\sf{\dfrac{ 6 }{ 10 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]\sf{\dfrac{ 3 }{ 5 }}{\sf{ = }}{\sf{\dfrac{8}{x}}}[/tex]

[tex]{\sf{ x = 8{\times} }}{\sf{\dfrac{5}{3}}}[/tex]

[tex]{\sf{ x = }}{\sf{\dfrac{40}{3}}}[/tex]

[tex]{\sf{ x = 13}}{\sf{\dfrac{1}{3}}}[/tex]

Hence, Option C is correct

[tex]\bold{\huge{\underline{ Solution \:3}}}[/tex]

Here,

SRT similar to BAC

For x,

By using BPT theorem,

[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{BC}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]

[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{x}{6}}}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{6}{2}}}[/tex]

[tex]\sf{ x = 3 }[/tex]

Thus, The value of x is 3

For y

Again by using BPT theorem,

[tex]\sf{\dfrac{ AB }{ RS }}{\sf{ = }}{\sf{\dfrac{AC}{RT}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 2 }{ 4 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]

[tex]\sf{\dfrac{ 1 }{ 2 }}{\sf{ = }}{\sf{\dfrac{5}{y}}}[/tex]

[tex]\sf{ y = 5{\times}2 }[/tex]

[tex]\sf{ y = 10 }[/tex]

Thus, The value of y is 10

Hence, Option A is correct.

1. 237 + 496 =
1. 600 - 321 =
7. 993 - 294 =

Answers

Answer:

237+496= 733

600-321= 279

993-294= 699

Help pleaseeeee......!

Answers

Answer:

D.) QS ≅ NR

Step-by-step explanation:

Congruency between QS and NR can be assumed because the angles they make at points T and U are both right angles and the 6.7 seems to be indicating the same length of the lines (?)

Nonetheless, they look to be about equal in size and angle, so D.) QS ≅ NR is your best answer.

(05.03 HC) There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B. Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points) Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points) Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically.

Answers

Answer:

Step-by-step explanation:

From the information given:

Neighbourhood A = 30  homes and the number increases by 20% each year

Neighbourhood B = 45  homes, and each year 3 new homes are built.

A.

The function representing the numbers of homes in  Neighbourhood A and B are as follows:

For neighbourhood A: f(x) = [tex]\mathbf{30 \times (1.2)^x}[/tex]

For neighbourhood B: f(x) =  45 + 3x

B.

After five years;

Neighbourhood A has = [tex]\mathbf{30 \times (1.2)^x}[/tex]

Neighbourhood A  = [tex]\mathbf{30 \times (1.2)^5}[/tex]

Neighbourhood A  =  74.65 homes

Neighbourhood B: =   45 + 3(5)

Neighbourhood B: =   45 + 15

Neighbourhood B: =   60 homes

C.

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

i.e.

[tex]\mathbf{30 \times (1.2)^x= 45 + 3x}[/tex]

[tex]\mathbf{ (1.2)^x= \dfrac{45 + 3x}{30}}[/tex]

[tex]\mathbf{ (0.4)^x= \dfrac{15 + x}{10}}[/tex]

x = 3.3

Thus, after 3.3 years, the number of homes will be the same.

For every $2 that David raised, Kendall raised $1.50. If Kendal raised $27, how much money did David raise

Answers

Answer:

$36

Step-by-step explanation:

27 x 2/1.50 = 36

What is the relationship between the magic constant (the sum of each row) and the sum of all the numbers in the square? Why does this relationship make sense?

Answers

Let's say each row sums to 15

If we had 3 rows, then the total sum would be 3*15 = 45

If we added all of the values in the 3x3 magic square, then we'd get 45 as well.

This is one example showing that

sum of all values = (number of rows)*(magic constant)

You can replace "rows" with columns to get the same idea, because each column also adds to the same magic constant. The diagonals are an exception since we only have two of them.

If you
divide my number by 2 and then add 15. you
will get 24. What is my number

Answers

Answer:

The number you're looking for is 18.

Step-by-step explanation:

18/2=9

9 + 15 = 24

Therefore you get 18

Why might the overall prediction accuracy of a classification model be a misleading measure of performance

Answers

Answer:

Do u have any more information?

Step-by-step explanation:


There are 346 children going for an excursion.
There are 8 buses and each bus can seat 40 children.
How many children will not have a seat?

Answers

Answer:

26 children

Step-by-step explanation:

346-8*40

346-320

26

what is the solution to x4 - 12x2+10>0

Answers

Answer:

  (-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)

Step-by-step explanation:

Using x^2 = z, the equation can be rewritten as ...

  z^2 -12z +10 > 0

  (z -6)^2 -26 > 0

  |z -6| > √26

This resolves to two equations.

This one ...

  x^2 -6 < -√26 . . . . substitute x^2 for z

  |x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|

  -√(6-√26) < x < √(6-√26)

__

and this one ...

  x^2 -6 > √26

  |x| > √(6 +√26)

  x < -√(6 +√26) ∪ √(6 +√26) < x

Help me quick please

Answers

Step-by-step explanation:

see pictures above or below

read and answer the following:

Answers

The answer of you're question is C

Answer:

here ,

origin means (0,0)

so ,

h and k are 0 and 0

and diameter ( d) is 4

r = d/2

using formula

(x-h)^2 +( y-k)^2 = r^2

(x-0)^2 +( y-0)^2= 2^2

x^2+y^2= 4 is the equation.

1. Which of the following are equivalent to 24?
Select all that apply. Then choose 2 of your
selection and explain or show how they are
equivalent to 24.
a. 2 x 2
b. 2 2
C.4-22
d. 4X4
e24
f. 8 X 2
g. 26 : 2

Answers

Answer:

a

Step-by-step explanation:

50 POINTS Which polynomial is a quartic trinomial?

Answers

Step-by-step explanation:

The first choice is a quartic trinomial

Its the next day and Marla is doing school work. This time, Marla gets on at 10:17, if she needs to complete 4 hours for school, what time will she be done?


HELP

Answers

Wake up time=10:17

4hours after time?

Hour. will be changed only

10:17+4=14:17

The time in 24hr format is 14:17 and in 12 hr format it's 2:17

Answer:

[tex]\huge\boxed{\bf\:14:17}[/tex]

Step-by-step explanation:

Given information,

Time Maria starts doing her school work = [tex]10:17[/tex]Number of hours she spends = [tex]4[/tex] hoursTime she finishes her work by = ?

Since the question doesn't provide whether [tex]10:17[/tex] is in Post Meridiem(P.M) or Ante Meridiem (A.M), we'll be using the 24-hour clock format.

In the 24-hour clock format, the clock goes from 12:01 to 23:59 each day. Each full rotation of the clock from this period shows that a day has passed by.

In the above case, if Maria starts her work by [tex]10:17[/tex], then,

Time Maria finishes her work by

[tex]=\sf\: 10:17 + (4 \: one-hour \:clock \: rotations)\\= \sf\:10:17 \rightarrow (11:17\rightarrow12:17\rightarrow13:17\rightarrow14:17)\\= \boxed{\bf\:14:17}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

what is the circumfrence of 18

Answers

Answer 3.14 x 18 =56.55

The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $500?

Answers

Answer:

More than 30 items

Step-by-step explanation:

C(x)=300x+6,000

First, find c(x), the average cost function.

c(x)c(x)=C(x)x=300x+6,000x

The average cost function is shown below.

c(x)=300x+6,000x

We want the function c(x) to be less than 500.

c(x)<500

Substitute the rational expression for c(x).

300x+6,000x<500x≠0

Subtract 500 to get 0 on the right.

300x+,6000x−500<0

Find the LCD, and rewrite the left side as one quotient.

300x+6,000x−500xx−200x+6,000x<0<0

Factor the numerator to show all factors.

−200(x−30)x<0

Find the critical points when the numerator or denominator are equal to 0.

−200(x−30)−200≠0x−30x=0x=0=0=30

More than 30 items must be produced to keep the average cost below $500 per item.

200m - 100m + 48,250 = 50,250 - 150m

Answers

Answer:

m=8

Step-by-step explanation:

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