-5(2x+14)=-2(x+63) x=6

Answers

Answer 1

The value of the variable, x is 7

What are algebraic expressions?

Algebraic expressions are defined as expressions that are composed of terms, coefficients, variables, constants and factors.

These mathematical operations are also made up of arithmetic operations. These operations includes;

AdditionSubtractionMultiplicationFloor divisionBracketParenthesesDivision

From the information given, we have;

-5(2x+14)=-2(x+63)

expand the bracket

-10x -70 = -2x - 126

Now, collect like terms

-10x + 2x = -126 + 70

Add or subtract the terms

-8x = -56

Make 'x'' the subject

x = 7

Hence, the value is 7

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Related Questions

Question 19 (5 points)
14
8
M
49
28 T
Determine if the two triangles shown are similar. If so, write the similarity
statement.
OA) AVML-AUMT
B) The triangles are not similar.
C) Impossible to determine.
D) AVML-AUTM
Question 20 (5 points)
Saved

Answers

Answer:

In question 20

B) the triangles are not similar

Step-by-step explanation:

u can see that 1 triangle length is 14 and other 49 and one triangle breath is 8 and other 28 so how they are same

Answer:

IN question 19

what is your question I can't understand

Find the value of x. Round to the
nearest tenth.
X
26
12
X
x = [?]

Answers

Answer:

Step-by-step explanation:

This is classic right triangle trig, cos specifically. Our reference angle is the one marked 26°, the hypotenuse is given as 12, and the side adjacent to the reference angle is our unknown. This is the cosine ratio. Setting up to solve for x:

[tex]cos26=\frac{x}{12}[/tex] and

12cos(26) = x  Plug this into your calculator in degree mode to get that

x = 10.8

Find A when p= 2000, r= 7%, n= 4, and t= 4

Answers

A=prt

A=2000×7%×4

=560

give answer please too hard to solve

Answers

Answer:

see explanation

Step-by-step explanation:

to evaluate f(a) substitute x = a into f(x)

f(a) = 5a + 4

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

2f(a) = 2(5a + 4) = 10a + 8

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

to evaluate f(2a) substitute x = 2a into f(x)

5(a + 2) + 4 = 5a + 10 + 4 = 5a + 14

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

f(a) + f(2) ← substitute x = 2 into f(x)

= 5a + 4 + 5(2) + 4 = 5a + 4 + 10 + 4  = 5a + 18

differentiate with respect to x (6-2x)^3​

Answers

-6(6-2x)^2 by chain rule

Answer:

- 6(6 - 2x)²

Step-by-step explanation:

using the chain rule

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

[tex]\frac{du}{dx}[/tex] = - 2 and [tex]\frac{dy}{du}[/tex] = 3u²

then

[tex]\frac{dy}{dx}[/tex] = 3u² × - 2 = - 6(6 - 2x)²

f Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding is​ continuous, how long will it​ be?
Question content area bottom
Part 1
Compounding ​, it will be about
  
enter your response here years before Tanisha has ​$1,400.

Answers

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

How long would it take $1000 to become $1,400?

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

FV = future value PV = present value r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

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8 through 10 thank you answers only

Answers

Answer:

8) - 8z^3 - 3z^2 - 2z + 13

9) g^3 - 3g^2 + 3g + 6

10) (14n + 21) - (8n + 7) = 6n + 14

A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes
a. Contain no heads?
b. Contain exactly three heads?
c. Contain at least three heads?
d. Contain more heads than tails?

Answers

Answer:

a.1

b.10

c.120

Step-by-step explanation: don't know that last one

If f(x) = 10 – x2 and g(x) = 3f (x) – 8, then which of the following is the value of g(-2)?

Answers

Answer:

10

Step-by-step explanation:

g(x) = 3(10-x^2)-8=>30-3x^2-8=>-3x^2+22

then substitute -2 in x

-3(-2)^2+22

-3(4)+22=-12+22=10

A sum of money is shared between Aaron and Betty in the ratio 2:5 Aaron received $60.How much money was shared altogether?

Answers

Answer:

The answer is $210.

Step-by-step explanation:

60/2 = 30. 30*5= 150. 150+60=210.

well, we know Aaron received $60, and we also know that Aaron and Betty are sharing the total on a 2:5 ratio, thus

[tex]\cfrac{Aaron}{Betty}~~ = ~~\cfrac{2}{5}\implies \cfrac{60}{Betty}~~ = ~~\cfrac{2}{5}\implies (60)(5)=(Betty)(2) \\\\\\ \cfrac{(60)(5)}{2}=Betty\implies 150=Betty~\hfill \underset{\textit{total money shared}}{\stackrel{60~~ + ~~150}{210}}[/tex]

The area of a square quilt is 35 ft 2. How will it look stretched across a queen sized bed measuring 60 inches wide and 80 inches long?

Answers

The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

What is the relationship between the quilt and the bed?

The first step is to determine the dimensions of the quilt.

Dimensions = √35 = 5.92 feet

Now convert the dimensions of the quilt to inches

1 feet = 12 inches

5.92 x 12 = 70.99 inches

Difference in the width of the bed and the quilt = 70.99 - 60 = 10.99

Difference in the length of the bed and the quilt = 80 - 70.99 = 9.01

 Here are the options:

A. The quilt will cover half of the surface of the bed.

O B. The quilt will match up with the length of the bed, but 20 inches will hang over the length. °

C. The quit will be 14.6 inches wider and 15.4 inches shorter than the bed. O D. The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

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Write an Algebra equation to the following question: Stephen and Lauren bought a home to flip for a profit. After budgeting a total of $23,150 for improvements, they started by spending $10,350 on subbing out some of the work. They would like to replace all thirty-two of the windows in the home. What is the maximum amount they can afford to spend on each window?

Answers

The maximum amount they can afford to spend on each window is $400

Equation

Total budget = $23,150Amount spent on subbing = $10,350Number of windows = 32Amount spent on each window = x

23,150 = 10,350 + 32x

23,150 - 10,350 = 32x

12,800 = 32x

divide both sides by 32

x = 12,800 / 32

x = $400

Therefore, the amount spent on each window is $400

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how tell me how you got answer 5.9 and also if you do at calculate can show me how to do pls thanks.

Answers

The steps you have are correct. I'll fill in the gap between step 2 and step 3.

[tex]0.4245 = \frac{2.5}{\text{x}}\\\\0.4245\text{x} = 2.5\\\\\text{x} = \frac{2.5}{0.4245}\\\\\text{x} = 5.8892815\\\\\text{x} = 5.9\\\\[/tex]

I multiplied both sides by x, then divided both sides by 0.4245 to isolate the variable.

With the exception of 2.5, every other decimal value mentioned is approximate.

Use a graphing calculator or other technology to write the quadratic equation that best fits the data set. X 0 -1 -2. y 3 -3 -5​

Answers

The quadratic equation of the data is y = 7x^2 + 13x + 3

How to determine the quadratic equation?

The table of values is given as:

X 0 -1 -2.

y 3 -3 -5​

When the above values are added to the graphing calculator, we have the following summary

a = 7

b = 13

c = 3

A quadratic equation is represented as:

y = ax^2 + bx + c

So, we have:

y = 7x^2 + 13x + 3

Hence, the quadratic equation of the data is y = 7x^2 + 13x + 3

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If p is the probability of success of a binomial experiment, then the probability of failure is what?

Answers

Answer:

1 - p

Step-by-step explanation:

1 - p

- Save & Exit Practice Lesson: 8.5 Applications: Interest and Mixt...
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Question 6 of 8. Step 1 of 1
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Lydia has money in two savings accounts. One rate is 6% and the other is 12 %. If she has $500 more in the 12 % account and the total interest is $375, how much is
invested in each savings account?
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at 6%
at 12%
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Answer:

16y1yg1gyyq717177171716161yggqg1g2y2gqgq62g2gtqy2g

1jwjqhwhwjmnbhokmbhiknb

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?Answer the questions to show how to write and simplify expressions that represent the problem


1. One way to calculate the total tax is 0.05(50 + 40). Use the order of operations to evaluate this expression. Show your work. (2 points)

Answers

Answer:

$4.50

Step-by-step explanation:

Okay so, first add both.

50+40 is 90, then multiply 90 by the tax percent which is

90x5%=4.5

If expression then,

x=money that they have to pay.

5%(50+40)=x    (the original)

btw there's already a question like this :

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The correct answer is a right?

Answers

We can see that a and b are parallel, and c and e are parallel, so the correct option is E.

Which line must be parallel?

On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c,  are the same angle.

Then, lines a and b must be parallel.

For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.

Finally, for line e, we can see that the known angle is on the first quadrant.

Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.

So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).

Then c and e are parallel.

Then A and C are true.

Thus, the correct option is E.

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Write the equation for the following relation. D = {(x, y ): (3, 9), (5, 25), (-2, 4), . . .}

Answers

The equation for the given relation is a quadratic equation:

[tex]y = x^2[/tex]

How to write an equation for the given relation?

Here we have the relation:

D = {(x, y); (3, 9), (5, 25), (-2, 4), ...}

Notice that for each coordinate point, we can see that the output is equal to the square of the input:

[tex]3^2 = 9\\5^2 = 25\\(-2)^2 = 4[/tex]

Then the equation is just:

[tex]y = x^2[/tex]

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6m + 2 - 4m =


help with this please ​

Answers

The answer is: 2(m+1)


First combine like terms.
we do 6m-4m which is 2m
2m+2=?

Second we factor. We notice that both terms have 2.
2(m+1)

by distributive law, the 2 is distributed to m and 1.

expand (x-4)^5 using the binomial theorem and pascal’s triangle show all necesssry steps

Answers

The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

According to the statement

we have given that a equation and we have to expand it by use of the binomial theorem.

So, For this purpose we know that the

A binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

And the general formula is

[tex](x+y)^n= ^nC_0x^ny^0+^nC_1x^(n-1)y^1+^nC_2x^(n-2)y^2+...+^nC_nx^0y^n[/tex]

And we have to solve it with the given equation (x-4)^5.

Then

[tex](x-4)^5=x^5+20x^4+(20)/(2)x^3(4^2)+(60)/(6)x^2(4)^3+(120)/(24)x^1(4)^4+(120)/(120)x^0(4)^5[/tex]

Now after solving the equation become

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The after expanding the given statement with the binomial theorem the result output is

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

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Perform the indicated operation 7 1/8×5 2/3

Answers

Answer:

40 3/8

Step-by-step explanation:

You can just multiple it on calculator, which 1/8 is 0.125 so convert 40.375 to 40 3/8

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Which equation is equivalent to StartRoot x EndRoot + 11 = 15?
x + 11 = 225
x + 121 = 225
StartRoot x EndRoot = 15 + 11

Answers

The equivalent expression of [tex]\sqrt x + 11 = 15[/tex] is [tex]\sqrt x = 15 - 11[/tex]

How to determine the equivalent expression?

The complete question is in the attached image

The expression is given as:

[tex]\sqrt x + 11 = 15[/tex]

Subtract 11 from both sides of the equation

[tex]\sqrt x + 11 - 11= 15 - 11[/tex]

This gives

[tex]\sqrt x = 15 - 11[/tex]

Hence, the equivalent expression of [tex]\sqrt x + 11 = 15[/tex] is [tex]\sqrt x = 15 - 11[/tex]

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A(-3,-2), B(12, 3); 3 to 2

Answers

Answer:

  (6, 1)

Step-by-step explanation:

The formula for dividing segment AB into parts in the ratio M:N is ...

  P = (M·B +N·A)/(M+N)

Application

Using the above formula with the given values, we have ...

  P = (3(12, 3) +2(-3, -2))/5 = (36 -6, 9 -4)/5 = (30, 5)/5

  P = (6, 1)

The point P that divides segment AB into parts in the proportion 3:2 is ...

  P = (6, 1)

Which set of ordered pairs could be generated by an exponential function?

Answers

The set of ordered pairs that could be generated by an exponential function is; C: (-1,1/2), (0, 1), (1, 2), (2, 4)

How to find the ordered pairs?

An exponential function is represented by the general form;

y = abˣ

The above equation means that the value (0, 0) cannot be an ordered pair in an exponential function.

The highlight above means that, the options A, B and D cannot generate an exponential equation because they contain the point (0,0).

Thus, the set of ordered pairs that could be generated by an exponential function is option C: (-1,1/2), (0, 1), (1, 2), (2, 4)

The missing options are;

A. (-1,-1/2), (0, 0),(1,1/2), (2, 1)

B. (–1, –1), (0, 0), (1, 1), (2, 8)

C. (-1,1/2), (0, 1), (1, 2), (2, 4)

D. (–1, 1), (0, 0), (1, 1), (2, 4)

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Convert 5x/3 to degrees.

Answers

15 degrees- that’s the answer

The following table shows the cost of 4 party favor packs. For example, the Slinky costs $9 for a pack of 5. Which toy pack has a cost of $2.50 per toy

Answers

Answer:

yo-yo cost 2.50 dollar because if we divide 15 and 6 the answer will be 2.50

Simplify the expression using the proper order of operations
5[6 ÷ 2^2 ∙ 3 - 1]

Answers

The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75

Simplification

5(6 ÷ 2² × 3 - 1)

Bodmas

B - BracketO - ofD - divisionM - MultiplicationA - AdditionS - Subtraction

= 5(6 ÷ 4 × 3 - 1)

= 5(6 ÷ 4 × 2)

= 5(6 ÷ 8)

= 5(0.75)

= 3.75

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What are the sums? Complete the equations. 12 +15= -12+(-15) = help 36 points ​

Answers

12+15= 27
-12+(-15)= -27
♨ANSWER♥

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

12 + 15

= 27

-12 + (-15)

= -12 -15

= -27

...hope this helps...

_♡_mashi_♡_

a box contains 7 red balls and 2 blue balls. how many more blue balls do you need to add to the box to make the probobility of pulling a red ball 0.5

A) 2
B) 3
C) 4
D) 5
E) None Of The Above

Answers

Using the probability concept, the number of blue balls you need to add is:

D) 5.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A probability of 0.5 is reached if the number of red balls is the same as the number of blue balls. Current the difference is of 7 - 2 = 5, hence 5 blue balls must be added.

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