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Answer: x=-18

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

[tex] \huge{ \fbox{ \sf{x = - 18}}}[/tex]

Step-by-step explanation:

[tex] \text{4(7x + 3) = - 3(2 - 9x)}[/tex]

[tex] \text{Step \: 1 \: : Distribute \: 4 \: through \: the \: parentheses}[/tex]

[tex] \hookrightarrow{ \sf{28x + 12 = - 3(2 - 9x)}}[/tex]

[tex] \text{Step \: 2 \: : Distribute \: - 3 \: through \: the \: parentheses}[/tex]

[tex]\hookrightarrow{ \sf{28x + 12 = - 6 + 27x}}[/tex]

[tex] \text{Step \: 3 \: : Move \: 27x \: to \: left \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \hookrightarrow{ \sf{28x - 27x + 12 = - 6}}[/tex]

[tex] \text{Step \: 4 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \hookrightarrow{ \sf{28x - 27x = - 6 - 12}}[/tex]

[tex] \text{step \: 5 \: : Collect \: like \: terms}[/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \hookrightarrow{ \sf{x = - 6 - 12}}[/tex]

[tex] \text{step \: 6 \: : Calculate}[/tex]

[tex] \text{ \underline{ Remember!}} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]

[tex] \hookrightarrow{ \boxed{ \sf{x = - 18}}}[/tex]

Hope I helped!

Best wishes ! :D

~[tex] \text{TheAnimeGirl}[/tex]

Complete question :

I received a letter from your competitor that mentions a savings of 15% over your prices. Can you match this offer? My current rate is $129.00 per month." Representative: "We will match any competitive offer. Your adjusted rate will be __________ dollars per month."

Answer:

$109.65

Step-by-step explanation:

Given the following :

Current rate = $129.00

Savings on current rate = 15%

Therefore, the adjusted rate will be 15% off the currently charged rate.

15% of $129.00

(15/ 100) × $129.00

0.15 × $129.00 = $19.35

Adjusted rate = current rate - adjustment

Adjusted rate = $129.00 - $19.35

Adjusted rate = $109.65

Hence, complete response :

We will match any competitive offer. Your adjusted rate will be $109.65 dollars per month."

Answer:

q = (4 - 5 m)/(2 - m)

Step-by-step explanation:

Solve for q:

m = (2 q - 4)/(q - 5)

Hint: | Reverse the equality in m = (2 q - 4)/(q - 5) in order to isolate q to the left hand side.

m = (2 q - 4)/(q - 5) is equivalent to (2 q - 4)/(q - 5) = m:

(2 q - 4)/(q - 5) = m

Hint: | Multiply both sides by a polynomial with respect to q to clear fractions.

Multiply both sides by q - 5:

2 q - 4 = m (q - 5)

Hint: | Write the linear polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

2 q - 4 = m q - 5 m

Hint: | Isolate q to the left hand side.

Subtract m q - 4 from both sides:

q (2 - m) = 4 - 5 m

Hint: | Solve for q.

Divide both sides by 2 - m:

Answer: q = (4 - 5 m)/(2 - m)

[tex]\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}[/tex]

Let's solve !

[tex]:\implies\sf\:25^{\frac{3}{2}}[/tex]

[tex]:\implies\sf\:(\sqrt[2]{25})^3[/tex]

[tex]:\implies\sf\:5^3[/tex]

[tex]:\implies\boxed{\bf{\red{125}}}[/tex]

Hence, Oprion-D is correct !

Answer:

[tex]\%\ increase = 75\%[/tex]

Step-by-step explanation:

Initial Height = 60 inches

Final Height = 105 inches

Required

Determine the percentage increase

Percentage increase is calculated as thus;

[tex]\%\ increase = \frac{Final\ Height - Initial\ Height}{Initial\ Height}[/tex]

Substitute values for the final and the initial height

[tex]\%\ increase = \frac{105 - 60}{60}[/tex]

[tex]\%\ increase = \frac{45}{60}[/tex]

[tex]\%\ increase = 0.75[/tex]

Convert to percentage

[tex]\%\ increase = 75\%[/tex]

The height of the tree increased by 75%.

Given that the tree was 60 inches tall, and later it was 105 inches tall, to determine what is the percentage increase to the nearest hundredth of the height of the tree, the following cross multiplication must be performed:

Therefore, the height of the tree increased by 75%.

Learn more in https://brainly.com/question/9897756

Answer:

$29.71

Step-by-step explanation:

just add the reduced price to the amount you took away: 8.35+21.36=29.71

Answer:

$29.71

Step-by-step explanation:

$21.36 + $8.35 = $29.71

      hope this helps pls give brainliest

Step-by-step explanation:

8x-37-6x=15

2x=15+37

2x=52divide both sides by 2

x=26

Answer:

Step-by-step explanation:

Answer: Angle 1 is 129 degrees. Angle 2 is 51 degrees.

Step-by-step explanation: 129+51=180 129-51=78

Answer:

Step-by-step explanation:

[tex]120\% \: of\:75\\\\= \frac{120}{100} \times75\\\\\frac{120}{100} \times \frac{75}{1} \\\\= \frac{9000}{100} \\\\ =90[/tex]

Answer: A non-statistical For example, the question, 'What is 2 plus 2?' is a non-statistical question. This question has only one correct answer that doesn't change

A statistical question  For example, there will likely be variability in the data collected to answer the question, "How much do the animals at Fancy Farm weigh?"

hoped this helped

Hey there! I'm happy to help!

Let's say that our fraction is x.

x=0.5555555...

Let's get rid of the repeating stuff. If you multiplied x by 10, the fraction would be equal to 5.5555555.....

x=0.55555555....

10x=5.5555555.....

What if we subtracted the first equation from the second? Then all of the repeating stuff would be gone!

9x=5

We divide both sides by 9.

x=5/9.

Have a wonderful day! :D

Answer:

70 and 14

Step-by-step explanation:

You divide 84 into 6 parts, so you get 70 and each part is 14, 14x5=70 then if you add 14 its 84.

Answer:

The value of limit = [tex]\frac{13}{8}[/tex]

Step-by-step explanation:

Explanation:-

Given  [tex]\lim_{x \to 4} \frac{x^{2}+5 x-36 }{x^{2}-16 }[/tex]

      =  [tex]\lim_{x \to 4} \frac{x^{2}+9 x-4 x-36 }{(x-4)(x+4) }[/tex]

     = [tex]\lim_{x \to 4} \frac{(x(x-4)+9(x-4) }{(x-4)(x+4) }[/tex]

     =[tex]\lim_{x \to 4} \frac{((x-4)(x+9)}{(x-4)(x+4) }[/tex]

   = [tex]\frac{4+9}{4+4}[/tex]

  = [tex]\frac{13}{8}[/tex]

Hence the limit exists and The value of limit = [tex]\frac{13}{8}[/tex]

Answer:

18.472 miles

Step-by-step explanation:

[tex]166.25 \: miles = 9 \: gallons \\ x \: miles = 1 \: gallons[/tex]

Cross Multiply

[tex]9x = 166.25[/tex]

Divide both sides of the equation by 9

[tex] \frac{9x}{9} = \frac{166.25}{9} [/tex]

[tex]x = 18.472[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{18.472 \: miles}}}}}[/tex]

Step-by-step explanation:

Distance travelled = 166.25 miles

gallons of gas used = 9 gallons

To find : 1 gallons of gas = ? miles

In unitary method, we have to obtain unit quantity. So, to find the distance travelled using 1 gallons of gas, 166.25 is divided by 9

[tex] \sf{ \frac{166.25}{9} }[/tex]

[tex] \dashrightarrow{ \sf{18.472 \: miles}}[/tex]

Hope I helped!

Best regards!

Answer:

m-10

Step-by-step explanation:

If it said M decreased by 10, it would be 10-m, but because it says 10 decreased by m, the answer is m-10

Answer:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

Step-by-step explanation:

In the blue area, people live closely because of its 1.Indutrialised area 2. The land is costly. 3.urbanisation In lighter color areas its farther because 1.Village 2.Farming area 3.Less popular rural area

Answer:100cm/1m

Step-by-step explanation:

Answer:

F'(x) = 2x eˣ¹⁴ − eˣ⁷

Step-by-step explanation:

You're close.  According to second fundamental theorem of calculus:

If F(x) = ∫ₐᵇ f(t) dt, then F'(x) = b' f(b) − a' f(a).

F(x) = ∫ₓˣ² eᵗ⁷ dt

F'(x) = (2x) e⁽ˣ²⁾⁷ − (1) e⁽ˣ⁾⁷

F'(x) = 2x eˣ¹⁴ − eˣ⁷

Answer:

-2*(3y).

Step-by-step explanation:

-2*(3y). −2⋅(3y) - 2 ⋅ ( 3 y ). Multiply 3 3 by −2 - 2 . −6y - 6 y. −2⋅(3y) - 2 ⋅ ( 3 y ) ...

Answer:

Um...

I know the answer to Part A, but not to Part B.

Step-by-step explanation:

The answer for Part A is 7n + 5. Hope this helps!

First (Takeaway 4 from 46) Then (divide 6 and 2 and after THAT multipy it with 3) Finally only if needed (Multiply both answers to get the one you need)

Answer:

10

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The parallelogram on the left has an area of

A = bh

A = 7*4 = 28 ft^2

The rectangle on the right has an area of

A = bh

A = 8*15 = 120 cm^2

Step-by-step explanation:

For the parallelogram

Area of a parallelogram = b × h

where

b is the base

h is the height

From the question

b = 7 ft

h = 4 ft

So the area is

For the rectangle

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

l = 15 cm

w = 8 cm

So the area is

Hope this helps you

Answer:

0.07 < 7/50 < 0.5

Step-by-step explanation:

7/50=0.14

=>0.07<0.14<0.5

Answer:

25

Step-by-step explanation:

Everytime, you add a value number 2 greater than the previous.

1+3=4

4+5=9

9+7=16

16+9=25

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▹ Answer

25

▹ Step-by-Step Explanation

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

The pattern is increasing the value of which is added by two each time:

3 + 2 = 5

5 + 2 = 7

7 + 9 = 16

9 + 16 = 25

Hope this helps!

CloutAnswers ❁

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